A Systematic Review of Reliability Studies on Composite Power Systems: A Coherent Taxonomy Motivations, Open Challenges, Recommendations, and New Research Directions

Abstract

Power systems has been subjected to significant upgrades in terms of structure and capacity. Reliability evaluation of composite power systems has surfaced as an essential step in operation and planning stages of the modern power system. It is an effective tool to investigate the ability of power systems to supply customers with reliable power service. The purpose of this review is to enhance the knowledge of reliability studies conducted on composite power systems by providing a critical and systematic review. This work investigates peer-reviewed articles published between 2007 and 2017 in three reliable databases. The findings reveal that the reliability of composite power systems has received considerable attention over the last few years. Secondly, investigation studies demonstrated a crucial role in verifying the impact of adopting new technologies. Third, studies on this topic have been intensively conducted in Asia, which highlights the promising sectors in these regions. However, researchers have generally focused on developing several aspects (e.g., evaluation speed and wind power integration) at the expense of others (e.g., realistic studies and other renewable energy resources). The lack of practical applications is evident in the surveyed publications. These findings imply a potential incoordination between the needs of the real applications and researchers’ tendencies. Future reliability evaluation scholars are advised to consider the findings of this systematic review including concentrating on insufficiently covered topics and enhance the coordination among the efforts devoted in this area.

1. Introduction

Rapid changes in modern life, especially in population, economy, and technology, have created a high demand for energy. Electricity is intertwined with most aspects of modern life because modern society considers it an indisputable right [1]. Maintaining a continuous power supply is an indicator of prosperity and national development. Therefore, providing customers with secure and reliable power is a priority of decision makers.

Fully reliable power systems do not exist due to many factors, such as random failures of system components, intermittent power sources, and uncertain load profile. System blackout may result from one or more of these factors in a conditional sense [2]. An inverse correlation exists between the investment cost of power systems and system reliability, as shown in Figure 1 [3]. This figure illustrates the correlation between the probability of interrupting power and the investment cost during planning and operation stages. Reliability can be improved by increasing the investment cost. User costs associated with failures decrease as reliability increases. The total life cycle cost is the summation of these two costs. The minimum point of the total life cycle cost is the optimum point of operation.

Therefore, a critical challenge in the planning and operation of power systems is to balance the trade-off between investment and reliability level [4]. The aim is to supply customers with acceptable power service while minimizing the purchasing cost [5]. These acceptable standards are determined by either regulation or customers’ needs [6].

Power systems have undergone many upgrades and developments in the last few decades, not only in terms of system size but also in devices, components, structures, and power sources. This trend has made reliability evaluation a priority. Utility and independent system operators need to be comprehensively aware of the status of the system and its components. This information can be obtained by performing a reliability evaluation for the desired system [7].

Reliability evaluation of power systems, in which the quality of power systems is assessed, is an integral phase of the planning, design, and operation of all engineering systems [1,3]. This evaluation consists of two fundamental aspects, namely, security and adequacy assessment [8]. Security assessment determines the capability of the system to respond to sudden disturbances. Adequacy assessment indicates whether the system can satisfy the load demand at all times with the desired quality of service. [9]. Although reliability evaluation is basically concerned about the quality of electricity services, improving it is a key issue in enhancing the load supply [10].

Reliability evaluation consists of three major steps: system state selection, evaluating the selected state, and index calculation. In accordance with these stages, reliability evaluation can be solved by two basic approaches; (a) analytical techniques and (b) simulation-based techniques [11]. Analytical assessment is the fundamental method in reliability evaluation; however, simulation methods have been introduced to handle large systems and the random behavior of a system and its components [12].

The primary difference between the two methods is the process of state selection [13]. In analytical techniques, a system is represented by analytical models, and system risk is evaluated by indices from these models using mathematical solutions [14]. Reliability indices are estimated in analytical techniques on the basis of basic knowledge and mathematical models; the probabilities and frequencies of system conditions are recounted and combined [12]. These techniques are efficient in relatively small systems. Meanwhile, simulation techniques simulate a sequence of actual experiments on a system under random failure behavior of its components [15]. The indices are then assessed by observing the experiments. A hybrid methods were recently introduced to incorporate the advantages of the former techniques [16].

Simulation techniques are categorized into two methods, namely, sequential Monte Carlo simulation (MCS) and non-sequential MCS. In sequential MCS, the chronological characteristics of a system and component behavior are considered and simulated sequentially. This method accurately incorporates time-dependent variables, such as aging factor and sustainable energy resources, into the simulation [17]. Frequency and state duration indices can be calculated to obtain accurate and comprehensive results [7]. However, high computational burden and complexity are major obstacles in this category [18].

In non-sequential MCS, system states are obtained by randomly sampling the component state space without considering the chronology of the system and component behavior [19]. Despite its acceptable computational effort, it cannot be used in applications in which chronological behavior matters.

A power system is divided into three hierarchical levels from the point of view of reliability calculations. These levels are shown in Figure 2 [11]. In hierarchical level 1 (HL1), reliability is calculated based on generation characteristics only, in which transmission lines are assumed to be fully reliable. Both generation and transmission lines are considered in HL2. This level investigates the capability to provide an adequate and secure supply to customers by considering the transmission system constraints [20]. HL2 is sometimes called composite generation and transmission system or bulk power system. HL3 considers the analysis of an additional distribution facility [21]. This level is typically avoided because it is time consuming and complicated. This systematic literature review (SLR) examines articles relevant to HL2, in which the reliability of composite generation and transmission systems is studied.

The literature has contributed to reliability studies on composite power systems by proposing new models [22,23], improving computation efficiency [19,24,25,26], improving accuracy [4,27,28], optimization [15,29,30,31], and differentiation of alternatives [32,33]. The reliability of composite generation and transmission systems plays a crucial role in system evaluation. It provides planners and decision makers with valuable and intuitively interpretable information [34]. However, a review that systematically gathers such work in this area is still needed.

Climate change and depletion of fossil fuel resources has become a global concern since few decades. Renewable energy resources have been considered the promising alternative of the conventional power sources [35]. Although integrating renewable resources into a grid is seen as a viable option, it may distort the ordinary power grid due to the intermittent behavior of this resources [36].

Most of renewable energy resources are characterized by high variability and uncertainty which pose major challenges system reliability [37]. High penetration of intermittent power generation will bring negative impact to power distribution network. Improper penetration of the intermittent power source may into the grid may result in significant reverse power flow which leads to unacceptable voltage rise on distribution feeder [38]. Overvoltage may trigger the protection in the system causing voltage fluctuation and sudden change in power flow. Recurrence of this phenomenon does not only disturb power supply, but also shortens the lifetime of system components. Thus, the system is exposed to a high risk for increased maintenance costs and power outages [39]. Some solutions were proposed to mitigate the adverse effects of high intermittent power penetration through STATCOM device [40], inverter control techniques [41], and energy storage system [42].

Weather conditions have a significant impact on renewable power generation and transmission systems, and in turn, on the reliability indices [43]. Penetration of renewable power resources and independent system operators demonstrated high Power system restructuring. The conventional techniques of reliability evaluation are no longer applicable for accurately assessing this level of uncertainty and complexity [44]. Systems operators and planners require new computational tools capable of handling these characteristics, in addition to the recent power system market specifications [45].

Smart grid is a modern infrastructure of power grid. It was introduced as a measure to improve efficiency, reliability, and safety of the restructured power system. It is also capable to mitigate the negative effects of integrating renewable energy sources, through modern communication and control technologies [46]. Supply side management and demand-side management (DSM) are two strategies that enables the implementation of smart grid. Some of DSM programs demonstrated considerable improvement in reliability of power systems; preventive load shifting, corrective load shifting [47], load shifting [48], and Peak-clipping [49].

Dynamic Thermal Rating (DTR) is another smart grid technology for improving the reliability of the overall network. It allows the conductor to operate at higher capacity based on its ambient factors and the line condition [50]. A conductor works under DTR can mostly transmit current 20% higher than its static rating [51]. This technology is highly recommended to be implemented in case of penetrating intermittent power source into the grid (e.g., wind power). Although it does not necessarily provide the best reliability, it could lead to avoiding costly reinforcement of transmission network [52].

Microgrids (MGs) are a relatively new concept developed in order to improve the system reliability [53]. The term refers to a group of radial feeders composed of a mix of loads, small generation systems, and local storage [54]. MGs may operate in two modes: grid-connected and islanded. In a grid-connected mode, the MG is connected to the utility grid, importing or exporting energy. The islanded mode is enabled when a failure occurs in the upstream grid. Each feeder must have at least a source rated to satisfy the sensitive load in islanded mode [53].

Renewable energy sources are essential components of MGs, they are relied upon to fulfil the load demand in islanded mode [55]. MG’s ability to increase renewable energy penetration has become attractive and important research topic [56]. A MG controller is required to ensure proper operation while working in its two modes [57]. A MG is normally subjected to a wide range of analysis applications (e.g., unsymmetrical faults, short circuit analysis and reactive power planning) to verifying its reliability and efficiency [58]. Short circuit faults in power systems can be broadly classified into two categories; symmetrical and unsymmetrical faults [59]. Symmetrical faults occur in two forms; 3-pahse short circuit involving the ground, or without the ground. Unsymmetrical faults occur between line and ground, line and line, or double line and ground [60].

N-1 contingency analysis is used in the planning phase and reliability studies on power systems to ensure that any single credible contingency will not exacerbate into cascading failures [61]. Power systems are normally planned to cover the load demand in normal condition and N-1 contingency condition [62]. N-2 contingency simulation is used to analyze the loss of two elements simultaneously, while the loss of two elements consecutively is analyzed via N-1-1 contingency simulation [63].

In this review, we seek to provide researchers and decision makers with a comprehensive view of the latest contributions of reliability studies on composite power systems. The objective of this SLR is to discuss the literature between 2008 and 2017. The work conducted in the past 10 years is summarized, and gaps are professionally identified for further research and development. This SLR maps the research landscape from the literature onto a coherent taxonomy, and discovers the key features that characterize this emerging line of research.

The organization of this SLR is as follows: the methodology for selecting the target literature and inclusion criteria is described in Section 2. Taxonomy of the literature and brief descriptions of the categories are presented in Section 3. The target literature has been discussed in Section 4 in terms of category, motivation, challenges, and recommendations. Finally, the conclusions are summarized in Section 5.

2. Method

The most important keyword in the topic covered by this SLR is “reliability.” However, the reliability concept is adopted in many engineering topics. Therefore, articles on reliability in areas other than power systems were excluded in this review. We limited our scope to the reliability of composite power systems apart from HL1 and HL3 for specialization. This section is divided into several subheadings. The experimental results are described and interpreted concisely, and experimental conclusions are established.

2.1. Information Sources

A comprehensive survey was conducted to locate all articles relevant to the reliability of composite power systems by searching highly reliable databases, namely, the IEEE Xplore library of highest-quality technical literature in engineering and technology; Science Direct, which is a trustworthy source of scientific, technical, and medical research; and the Web of Science (WoS) platform, which indexes cross-disciplinary articles in science, social science, arts, and humanities [64]. The combination of these sources covers high-ranked studies on reliability concepts in composite power systems and provides a broad view of dedicated efforts.

2.2. Study Selection

Selection of the target studies was initialized by searching the abovementioned databases, followed by two iterations, namely, screening and filtering. The first iteration involved excluding duplicates and irrelevant articles after scanning their titles and abstract. In the second iteration, the articles filtered from the first step were analyzed and classified through full-text reading. Eligibility criteria were followed in the selection process.

2.3. Search

The search was implemented in one year, starting from March 2017. We began by reading review papers to identify an appropriate query. The derived query was then inserted in the advanced search box of IEEE Xplore, Science Direct, and WoS. The query contained a mix of the keywords “reliability evaluation” and “composite power systems” in different peers and variations, as shown in the top of Figure 3. Conference proceedings, working papers, books, and other types of reports were excluded to ensure the quality of the findings. Non-English literature was also disregarded. This SLR mainly relied on journal articles because they are the foremost source of up-to-date contributions and proper scientific work relevant to our SLR aims.

To concentrate on the latest studies, this SLR focused on articles published in the past 10 years (between 2008 and 2017). The field of interest is HL2; thus, the other layers were excluded from the study. The initial target of this SLR is to map the space of articles into a general and coherent taxonomy with four main categories. After removing the duplicates, we excluded several articles in both iterations on the basis of the eligibility criteria shown in Figure 3. The exclusion justifications were as follows: (1) non-English articles because understanding their content is difficult; (2) reliability studies applied to systems other than power systems; (3) the focus is on HL1 or HL3; (4) the main contribution of the article is not in the interest of the reliability of composite power systems; and (5) the article studies only the transmission line considering fully reliable generation.

2.4. Data Collection

The papers obtained from the three databases were imported to Mendeley. The first iteration was then launched using available Mendeley tools. The data of these papers were placed in a single Excel file to facilitate access to the contents and analyze them, and a space was allotted in the file to highlight the most valuable contents. Full-text readings were performed on the articles inferred from the second filtration. All comments and notes were initially saved on the pdf versions of the articles, followed by summarization and tabulation of the most significant findings and outlines using the Excel file.

3. Results

The query in Figure 3 was searched using the three databases. The search resulted in 485 articles published from 2008–2017. Three hundred eighty-six articles were obtained from IEEE Xplore, 89 articles from ScienceDirect, and 32 articles from WoS. Twenty-two articles were deducted in the first filtration step due to duplication in the three databases. Two hundred sixty articles remained after scanning the titles and abstracts. The full-text scanning phase eliminated 160 articles, leaving 100 in the final included set. This set was read thoroughly to derive an inclusive taxonomy of the searches conducted on the reliability of composite power systems.

Investigation studies accounted for the largest portion, represented 35 out of 100 (35%) articles. They examined the effects of some factors on composite power system reliability. Most of them included the proposal of a new model of system components and studied the impacts of these components on power system reliability. Planning and optimization studies is the second largest portion and represented 34 out of 100 (34%) articles. They focused on power system reliability in the planning phase. Studies that concentrated on the evaluation process accounted for 29 (29%) articles, and most of them handled the simulation computational efficiency issue. The smallest portion of the articles, two (2%), reviewed literature on the reliability of composite power systems. This pattern was critically observed and then mapped to general categories. The main categories were distinguished into several subcategories to highlight the main contributions of the gathered studies. We refined the classification into the taxonomy shown in Figure 4. In the following sections, we list the categories with elaboration. Simple statistics are provided throughout the discussion.

3.1. Investigation Studies

Given that the main objective of reliability evaluation is to investigate system reliability [65], the largest group mainly comprised investigation studies. They can be divided into two main trends, namely, investigating the effect of integrating a technology into a power system and investigating the impact of considering a new parameter in the reliability evaluation process.

Power system structure has been improving to satisfy the global demand and keep pace with the technology revolution. The interdependency of electricity system and other energy resources is prominently obvious. Studies that investigated the effect of integrating wind power into composite power system reliability were highlighted in the first subcategory. Several attempts [66,67,68,69] were conducted to acquire a realistic wind power generation model. Another study [70] aimed to quantify the influence of generation and/or transmission equipment on wind power curtailment events.

Another subcategory focuses on reliability studies conducted on transmission lines, including Flexible AC Transmission Systems (FACTS) and DTR systems. A methodology to model a high-voltage direct current transmission system tapped by a voltage-sourced converter was proposed in [71]. Reference [72] investigated the effects of line-switching operations on HL2 reliability. References [73,74] investigated incorporating FACTS devices into HL2 reliability evaluation. The impact of DTR was studied in [20,75].

The increasing dependency of power utilities on cyber and monitoring systems has revealed the necessity of considering them in reliability studies of composite power systems. Effect of cyber-attack scenarios on wind power integrated system were discussed in [76]. The difficulties of considering cyber-induced dependent failures in reliability studies on composite power systems were discussed and a solution was proposed in [77]. A methodology was proposed in [78] to investigate the effect of cyber-malfunctions in substations on composite power system reliability. Effect of malfunctions of a Wide-Area Measurement System (WAMS) on composite power system reliability was studied in [79].

The environment affects the reliability of HL2, as concluded by the authors in [80,81], who considered hurricane impact and emission constraints in reliability evaluation, respectively. Effect of Q and V constraints [28], load uncertainty [82], and substations [10], were investigated in composite system reliability evaluation. Various studies on protection systems were conducted. A new technique was proposed in [22] to model protection system failures in order to include them in the reliability evaluation process. IEC 61850-based substation protection systems were modeled in [83]. A Bayesian network-based analytical methodology was proposed in [84] to investigate the impacts of protection system failures on HL2 system reliability.

Most of the studies in the next subcategory investigated a combination of the subcategories mentioned previously. Transformers, lines, generators, and loads were modeled in [85]. Wind power is a common factor in the remaining articles of this subcategory. References [86,87] investigated the effect of combining wind power and DSM on HL2 reliability. The effect of penetrating wind power together with hydropower on HL2 reliability was investigated in [88,89]. The load point reliability in HL2 considering wind power integration was discussed in [90]. Only one study [91] investigated the combination of wind power and solar power generation, and another [92] focused on the combination of wind power and energy storage system. The reliability of an electrical network that incorporates DTR and wind farm was investigated in [93].

Several investigations were included in the last subcategory. A comparison of load models was conducted in [4]. Actual results of contingency enumeration and MCS techniques were compared in [94]. The importance of considering probability distribution functions in reliability analyses was verified in [95]. Reference [96] investigated the impact of transient instability on power system reliability.

3.2. Planning and Optimization Studies

The second largest category of articles (34/100) comprised planning and optimization studies that attempted to apply the reliability concept in planning phases or optimizing a certain system. Reliability evaluation plays a crucial role in planning and operation phases [15]; hence, it overlaps with most of power system planning processes, as shown in the subcategory list.

A method to assess the number of spare breakers required in high-voltage transmission stations was proposed in [97]. A new methodology was proposed in [9] to evaluate the criticality of substations in a power system on the basis of the static and dynamic performance of their equipment outages. Methods for identifying critical nodes and components in power networks were presented in [98,99], respectively. The authors in [100] proposed an approach to determine the reliability importance of power plants or energy producers from the perspective of consumers or distribution companies.

The control mode and settings of a Unified Power Flow Controller (UPFC) were optimized in [101] to improve the reliability of composite power systems. A methodology was proposed in [15] to determine the optimal reliability indices of system components included in a composite electric power system. Optimal implementation of a network-driven load management program was addressed in [102] to enhance the composite system reliability.

A procedure to schedule spinning reserve capacity on the basis of the desired level of reliability was proposed in [103]. In [104], the authors considered the failures and capacity constraints of transmission systems in assessing the spinning reserve. Others in [29] proposed a day-ahead allocation method of operation reserve that considers wind power prediction and transmission system constraints. A methodology for assessing the power capacity availability at load buses was presented in [1]. Wind capacity credit was examined in [105] in consideration of generating unit outage parameters and hourly load demands. Reference [106] described a methodology to determine transmission network adequacy in systems with conventional and wind power units. A similar study was conducted in [107] on the basis of the concept of chronological power flow.

Maintenance planning in composite power systems has been studied from various aspects. A methodology to schedule preventive maintenance was described in [108,109] by optimizing the three objectives of maintenance, reliability, and failure costs. A maintenance planning approach was proposed in [110] to determine the optimal time-based maintenance for circuit breakers. Another approach was provided in [111] for identifying the critical components in HL2 to obtain focused maintenance management. The authors in [112] obtained a cost-effective replacement framework that considers the overall system reliability and component criticality.

Six of the articles developed approaches for optimizing the locations or sizes of certain components in HL2. In [30,32] the authors focused on setting energy storage systems in the presence of wind power generation. A method for the allocation of available transfer capability was proposed in [113]. An approach was proposed in [26] to find the optimal location of distributed static series compensators. The authors in [114] aimed to determine the adequate size of on-site energy storage and the transmission upgrades that are needed in connecting wind power sources to systems. The optimal location, size, and year of installing energy resources were discussed in [115], and a reliability analysis-based framework was proposed.

The literature on expansion planning includes active attempts to handle wind power generation. The authors of [116] exploited transmission expansion planning to maximize the penetration of wind power into grids. Expansion planning approaches were proposed in [117,118,119] in consideration of wind power generation. Another approach for dynamic expansion planning was presented in [120]. Reliability-based planning of Demand Response (DR) programs was addressed in [121]. A multi-objective optimization technique for HL2 expansion planning was presented in [122] in consideration of cost and reliability assessment.

3.3. Studies on Evaluation Efficiency and Systems

Considerable effort has been exerted to improve the efficiency of the reliability evaluation process. Accuracy and computational cost in reliability evaluation are usually in conflict. Articles in the evaluation efficiency subcategory can be divided into three trends according to their objectives, as shown in

Table 1. Categorization of articles in the evaluation efficiency subcategory according to the main purpose.

Computational Burden	Accuracy	Computational Burden and Accuracy
Mori 2011 [8]	Bordeerath 2012 [127]	Shu 2014 [17]
Amaral 2010 [19]	-	Pindoriya 2011 [25]
Sun 2010 [24]	-	Mosadeghy 2016 [27]
Wang 2014 [65]	-	He 2010 [33]
Green 2013 [125]	-	Safdarian 2014 [132]
Benidris 2015 [126]	-	Eliassi 2015 [133]
Yongji 1999 [130]	-	Liu 2017 [134]
Chen 2013 [135]	-	Hou 2017 [136]
Akhavein 2011 [137]	-	-
Tómasson 2017 [131]	-	-
Hua 2013 [138]	-	-
Kim 2013 [139]	-	-
Hua 2015 [140]	-	-
Silva 2008 [123]	-	-
Hong 2009 [124]	-	-
Liu 2010 [129]	-	-
Hou 2016 [5]	-	-
Kumar 2017 [128]	-	-

.

Methods for well-being analysis were presented in [19,123] on the basis of non-sequential MCS. Other approaches that incorporate a deterministic approach with a probabilistic approach were proposed in [33,124]. State space classification techniques were proposed in [125,126]. A least-squares support vector machine classifier was combined with MCS in [25] to achieve an accurate and computation-efficient simulation. Reference [127] sought to improve classifier precision. An algorithm was proposed in [128] for reliability analysis on the basis of a modified minimal cut set approach. In Reference [129], a Markov cut-set-based reliability evaluation was proposed to accelerate the simulation in the case of numerous system operational considerations. A continuous-time Markov chain-based sequential reliability assessment was discussed in [5]. References [7,130,131] developed an evaluation technique based on cross-entropy methods. A novel adaptive importance sampling technique was obtained in [65] to improve the efficiency of short-term reliability evaluation.

An importance sampling technique was combined with antithetic variates in [135] to handle cascading failures. The equivalent network concept was applied in [137] to overcome the obstacles of the reliability evaluation of a large-scale HL2 system. A new method for probabilistic evaluation was proposed in [8] on the basis of a multi-objective meta-heuristic method. The evaluation process was accelerated in [138] by eliminating redundant line flow constraints. A splitting method was examined in [139] to efficiently evaluate large blackout probabilities. MCS was improved in [17,24,134] on the basis of the dagger sampling technique, accelerated state evaluation approach, and estimation of distribution algorithm, respectively. The authors in [136] improved the quasi Monte Carlo method on the basis of the dimension importance sorting method to accelerate the simulation with high accuracy. AC power flow formulation was approximated in [132] to be able to consider active and reactive power in the reliability evaluation of HL2. The computational burden was reduced in [140] by extracting significant system states. Additional capabilities were added to HL2 reliability evaluation after applying Bayesian networks in [133]. A fast and accurate time-dependent approach was proposed in [27] to efficiently model time dependency and correlations in HL2 integrating renewable energy resources.

The second subcategory in this category includes only one study that improved a test system for HL2 reliability evaluation. The test system presented here [141] is a real high-voltage network in a province of south Iran. This system contains information necessary for research purposes.

3.4. Review Articles

The final and smallest set of articles in this taxonomy is review articles that focused on reliability evaluation of HL2. Only one article [142] discussed the reduction technique directly or indirectly related to the adequacy equivalents of HL2. Another article [143] in this category focused on the important factors and considerations required to conduct an adequacy assessment of a wind-integrated HL2 system.

4. Discussion

This SLR aims to obtain a comprehensive view of studies conducted on HL2 reliability. It focuses on recent work related to HL2 reliability conducted between 2008 and 2017. This field lacks review articles, which posed an obstacle to the researcher. The trends of studies on this topic were highlighted here to develop a taxonomy.

A taxonomy built based on recent literature on a research topic can provide various benefits. In view of HL2 reliability, many studies have been implemented. Much time and effort are required to evaluate these studies without a thorough classification. Providing a taxonomy of the published articles would organize this set of publications. A new researcher interested in HL2 reliability could feel overwhelmed by the massive number of articles that handle this topic when no organizational structure is available. Therefore, the researcher could fail to determine the right trend. Various academic studies have addressed this topic from the investigation perspective. Others have introduced planning methodologies, and several have improved the evaluation process. Developing a taxonomy of the related publications can help sort these studies into a coherent layout.

A taxonomy with an organized structure provides a researcher with functional insights into the target field. First, the taxonomy helps the researcher highlight a potential trend of research on a specified topic. Second, the taxonomy assists the researcher in identifying gaps among the published work. Classifying HL2 reliability studies into distinct categories would reveal the weaknesses and strengths of this research area.

This SLR showed how researchers were interested in investigation studies to evaluate the effects of factors on HL2 reliability. Planning studies have also attracted the attention of numerous researchers. Review articles, by contrast, have not received adequate attention. The literature does not cover various types of renewable energy resources. Wind power has received considerable attention from researchers compared with other power resources. Studies on proposing an efficient and realistic test system have not been paid sufficient attention. A further discussion of the findings is presented in the remaining portion of this SLR.

A comprehensive insight into the target literature is provided in

Table 2. Comparison of the notable studies conducted on composite power system reliability (2008–2017).

	Source	Category		Contribution
Effects of Wind Power on Bulk System Adequacy Evaluation Using the Well-Being Analysis Framework.	[69]	Investigation studies	wind power generation	Obtained a framework to study the impacts of wind power, load forecast uncertainty and their interactive effects on system reliability in HLII using the Well-Being Analysis
Integration of large-scale wind farm projects including system reliability analysis.	[68]			developed a comprehensive procedure to investigate the impact of a wind farm project considering transmission system losses cost, load delivery point interruption cost and operating cost of conventional generating units
Probabilistic Wind Energy Modeling in Electric Generation System Reliability Assessment.	[67]			Proposed several models of wind resources integration and presented approach to investigating the impact of these models on composite power system reliability.
Probabilistic Analysis for Maximizing the Grid Integration of Wind Power Generation.	[70]			Presented a Sequential MCS algorithm to evaluate the reliability indices of a wind power integrated system, in addition to characterize wind power curtailment events.
A novel method for reliability and risk evaluation of wind energy conversion systems considering wind speed correlation.	[66]			Proposed a new methodology based on Weibull-Markov method to evaluate reliability of bulk power systems incorporating large-scale wind generation system, considering DFIG wind turbines, wind speed correlation and wind turbine outage.
Composite System Reliability Assessment Incorporating an Interline Power-Flow Controller.	[73]		Transmission system, FACTS, DTR	Proposed an approach to investigate the impact of an Interline Power-Flow Controller(IPFC) on composite power system.
Reliability Evaluation of an HVDC Transmission System Tapped by a VSC Station.	[71]			Presented evaluation a methodology to investigate the reliability of an HVDC transmission system with a VSC tapping station.
Probabilistic Worth Assessment of Distributed Static Series Compensators.	[74]			Developed a reliability model for Distributed Static Series Compensators and investigates their impacts on composite power system reliability.
Reliability Modeling of Dynamic Thermal Rating.	[75]			Proposed an approach based on Markov model for reliability studies on power lines equipped with DTR system.
Studying the Reliability Implications of Line Switching Operations.	[72]			Proposed a method to investigate the implications of line switching operations on composite power system reliability.
Impact of the Real-Time Thermal Loading on the Bulk Electric System Reliability.	[20]			Proposed a methodology to investigate the impact of high loading of power lines equipped with DTR system on composite power system reliability.
A Methodology for Evaluation of Hurricane Impact on Composite Power System Reliability.	[80]		Weather condition and environment constraints	Proposed a methodology that combines fuzzy clustering technique with regional weather model in order to investigate the impact of hurricane on power system reliability. It modelled the relationship between transmission line failure rate and hurricane parameters.
Reliability and Sensitivity Analysis of Composite Power Systems Under Emission Constraints.	[81]			Presented a methodology to consider emission allowances as additional constraints in reliability evaluation of composite power systems.
Impact of WAMS Malfunction on Power System Reliability Assessment.	[79]		Cyber and monitoring system	Improved a methodology to incorporate WAMS, as monitoring/control infrastructure, in reliability evaluation studies.
Power system reliability evaluation considering cyber-malfunctions in substations.	[78]			Proposed a methodology to investigate the impact of cyber-malfunctions in substation on composite power system reliability.
Power System Reliability Assessment Incorporating Cyber Attacks Against Wind Farm Energy Management Systems.	[76]			Investigated the impact of various cyber-attacks scenarios against SCADA/EMS system of wind farm on reliability of wind integrated power system.
Non-Sequential Monte Carlo Simulation for Cyber-Induced Dependent Failures in Composite Power System Reliability Evaluation.	[77]			A methodology was proposed to consider cyber-induced dependent failures in reliability studies and investigate their impacts on composite power system.
Reliability and sensitivity analysis of composite power systems considering voltage and reactive power constraints.	[28]		Q and V constraints	Investigated the effects of the voltage and reactive power constraints on composite power system reliability.
Effects of load forecast uncertainty on bulk electric system reliability evaluation.	[82]		Load	Presented a methodology to examine the effects of load forecast uncertainty on composite power system reliability incorporating changes in system composition, topology, load curtailment policies and bus load correlation level
Hybrid procedure including subtransmission systems and substations for reliability assessment.	[10]		Substations	Presented a new methodology to include the configuration of substations in the reliability assessment. Thus, the critical load points and indices at these points can be accurately determined.
Reliability Modeling and Analysis of IEC 61850 Based Substation Protection Systems.	[83]		Protection System	Developed a methodology for modeling and analysis of IEC 61850 based substation protection systems.
New Models and Concepts for Power System Reliability Evaluation Including Protection System Failures.	[22]			Developed a technique to incorporate the effect of multiple component outages resulting from the protection failures into power system reliability evaluation.
Incorporation of protection system failures into bulk power system reliability assessment by Bayesian networks.	[84]			Proposed a Bayesian network based methodology for modelling and investigating the impact of protection system failures on bulk power system reliability.
Power System Risk Assessment Using a Hybrid Method of Fuzzy Set and Monte Carlo Simulation.	[85]		Combination	Proposed a hybrid method of fuzzy set and Monte Carlo simulation for modeling system component outage parameters and load curves.
DSM Considered Probabilistic Reliability Evaluation and an Information System for Power Systems Including Wind Turbine Generators.	[87]			Developed a methodology for reliability evaluation of wind integrated power system considering DSM and A web based online daily time interval reliability integrated information system (WORRIS).
Incorporating multiple correlations among wind speeds, photovoltaic powers and bus loads in composite system reliability evaluation.	[91]			Proposed a methodology for reliability evaluation of wind-PV power integrated system incorporating multiple correlations among solar radiation, wind speeds, and the bus/regional loads.
Power System Reliability Impact of Energy Storage Integration With Intelligent Operation Strategy.	[92]			Investigated the impacts of installing energy storage system in wind power integrated system.
Impact of the Combined Integration of Wind Generation and Small Hydropower Plants on the System Reliability.	[88]			Assessed the impacts of integrating wind power system together with small hydropower plants on the reliability of composite power system.
Short-Term Impacts of DR Programs on Reliability of Wind Integrated Power Systems Considering Demand-Side Uncertainties.	[86]			Investigated the impact of DSM programs on short-term reliability of wind-integrated power systems.
Reliability Impact of Dynamic Thermal Rating System in Wind Power Integrated Network.	[93]			Proposed a methodology to investigate the impact of adopting DTR system in a wind integrated power system.
A Model to Represent Correlated Time Series in Reliability Evaluation by Non-Sequential Monte Carlo Simulation.	[89]			Proposed a new stochastic model to investigate the impacts of time-varying elements such as loads, wind power generation, and water inflows on composite power system reliability.
Using probability distribution functions in reliability analyses.	[95]		Other investigation studies	Verified the importance of considering probability distribution functions in reliability analyses
Integrated Evaluation of Reliability and Stability of Power Systems.	[96]			Investigated the impacts of considering transient stability on composite power system reliability. It introduced three stability indices to assess both robustness and system vulnerability against fault events.
Reliability Assessment of the Brazilian Power System Using Enumeration and Monte Carlo.	[94]			Presented a comparison between actual results of contingency enumeration and MCS techniques.
A Comparison of Load Models for Composite Reliability Evaluation by Nonsequential Monte Carlo Simulation.	[4]			Studied a comparison of three Markov load models for composite reliability evaluation by non-sequential MCS.
A heuristic-based approach for reliability importance assessment of energy producers.	[100]	Planning and optimization studies	Spares and components criticality	Proposed a method to evaluate the reliability importance of generation buses in a composite power system.
Identifying Critical Components for Transmission System Reliability.	[99]			Developed a method for separately ranking transmission system components by their importance for composite power system reliability under different load scenarios.
Assessment of Spare Breaker Requirements for High Voltage Transmission Stations.	[97]			Described a probabilistic method for determining the optimal number of spare breakers required for a group of similar high voltage breakers used at transformer stations.
Probabilistic Evaluation of Substation Criticality Based on Static and Dynamic System Performances.	[9]			Proposed a new methodology to assess the criticality of substations taking into consideration their possible operating states, and the static and dynamic consequences of their equipment outages in the system.
A Method for Ranking Critical Nodes in Power Networks Including Load Uncertainties.	[98]			Proposed an approach for ranking nodes or substations in power system by their importance considering load uncertainties. Thus, planners can easily identify those facilities with more urgent investment needs.
Chronological Power Flow for Planning Transmission Systems Considering Intermittent Sources.	[107]			Proposed a new methodology for determining the main transmission branches that restrict power flow of the renewable power resources penetrated into a grid.
UPFC for Enhancing Power System Reliability.	[101]		Device settings and control	Determined the optimal control mode and settings of UPFCs in order to improve the reliability of a composite power system.
Allocation of Network-Driven Load-Management Measures Using Multiattribute Decision Making.	[102]			Proposed a multiattribute decision-making approach for allocating network-driven load-management (NDLM) measures in order to improve the composite power system reliability.
Optimal reliability planning for a composite electric power system based on Monte Carlo simulation using particle swarm optimization.	[15]			Presented a methodology for determining the optimal reliability indices of system components for a composite power system.
Scheduling of Spinning Reserve Considering Customer Choice on Reliability.	[103]		assessing capacity availability or reserve	Presented a new procedure for allocating spinning reserve based on the desired reliability level of customers.
Application of a Joint Deterministic-Probabilistic Criterion to Wind Integrated Bulk Power System Planning.	[105]			Discussed the application of joint deterministic-probabilistic criteria to be utilized for planning wind-integrated power system.
Reliability-driven transmission investment in systems with wind generation.	[106]			Presented a methodology for determining the adequacy of thetransmission network adequacy in composite power systems with large scale wind power penetration.
Spinning Reserve Assessment Under Transmission Constraints Based on Cross-Entropy Method.	[104]			Proposed a methodology to assess the spinning reserve of generating system, taking into consideration capacity constraints and failures of the transmission network
Evaluation of Power Capacity Availability at Load Bus in a Composite Power System.	[1]			Described a methodology for assessing the power capacity availability at different load bus in a composite power system
Day-ahead allocation of operation reserve in composite power systems with large-scale centralized wind farms.	[29]			Proposed a methodology for day-ahead allocation of operation reserve, taking into consideration transmission constraints and wind power prediction error in a composite power system with centralized wind power farms.
Circuit breakers maintenance planning for composite power systems.	[110]		Maintenance schedule	Proposed an optimization methodology to find the optimal maintenance schedule for the circuit breakers considering their locations in the power system.
Optimisation of maintenance schedules and extents for composite power systems using multi-objective evolutionary algorithm.	[109]			Proposed an integrated methodology for scheduling preventive maintenance for all components in a substation through optimizing three objectives; maintenance, reliability, and failure costs.
Multiobjective Evolutionary Optimization of Maintenance Schedules and Extents for Composite Power Systems.	[108]			Proposed a methodology for scheduling preventive maintenance for all components in a composite power system. The methodology aimed to optimize three objectives; maintenance, reliability, and failure costs.
Reliability Based Framework for Cost-Effective Replacement of Power Transmission Equipment.	[112]			Presented a framework for replacement planning of aging power equipment. Identified the critical components for system reliability in terms of aging to improve decision making process.
Identifying critical components for reliability centred maintenance management of deregulated power systems.	[111]			Proposed a computationally efficient approach for identifying the criticality of system components considering the additional long-term system costs imposed when they fail.
Optimal Allocation of Available Transfer Capability in Operating Horizon.	[113]		Location and size	Proposed an approach for identifying the optimal allocation of Available Transfer Capability
Energy Storage Application for Performance Enhancement of Wind Integration.	[32]			Developed a generic algorithm-based approach for optimizing sizes, places and schedules of storage systems installed into a wind integrated power system. Thus, reliability of the system can be enhanced using optimal setting of the energy storage system.
Optimal distributed static series compensator placement for enhancing power system loadability and reliability.	[26]			Proposed an approach for optimizing the locations of distributed static series compensators in order to enhance the system reliability and loadability.
Clustering Technique Applied to Nodal Reliability Indices for Optimal Planning of Energy Resources.	[115]			Presented a clustering technique-based methodology for identifying the optimal size, location, and year of installing energy resources into a system.
Quantification of Storage Necessary to Firm Up Wind Generation.	[30]			Proposed a method to identify the optimal sizes of the energy storage system in order to mitigate the negative impact of penetrating wind energy into power systems. The method takes into consideration failures of Wind Turbine Generators, the wind power uncertainty, wind speed temporal resolution, and correlation with the load.
Reliability Modeling and Control Schemes of Composite Energy Storage and Wind Generation System With Adequate Transmission Upgrades.	[114]		Expansion planning	Proposed a methodology for determining the adequate transmission system upgrades and size of the energy storage which are required for delivery of the wind generation.
Reliability-Based Grid Expansion Planning of Power Systems Considering Wind Turbine Generators.	[119]			Presented a reliability-based methodology for grid expansion planning of wind power integrated system considering the uncertainties of lines and generators, and power output of WTG.
Incorporating Large-Scale Distant Wind Farms in Probabilistic Transmission Expansion Planning	[118]			Presented a theory and algorithm for a Transmission Expansion Planning method aiming to mitigate the negative impact of wind farms on the congestion cost and risk costs of a power system.
Reliability evaluation of restructured power systems using a novel optimal power-flow-based approach.	[90]			Proposed an approach to evaluate load point reliability in restricted power systems taking into consideration the effect of wind power integration. Developed equivalent multistate models generation and transmission system.
Multi-objective expansion planning approach: distant wind farms and limited energy resources integration.	[117]			Proposed a multi-objective framework for expansion planning of power system integrated with distant wind farms and hydropower generation facilities.
An augmented NSGA- II technique with virtual database to solve the composite generation and transmission expansion planning problem.	[122]			Proposed a computationally efficient technique for expansion planning of power systems. A multi-objective framework was proposed to determine the optimal capacity additions based on cost and reliability preferences. The first objective is to minimize EENS, whereas the total system cost, embraces annual operational and investment costs, is considered as the second objective function.
Reliability-based nodal evaluation and prioritization of demand response programs.	[121]			Presents a new viewpoint for reliability-based planning of DR programs based on nodal evaluation and prioritization of combinational programs. It showed the effectiveness of nodal evaluation of DR programs in improving system reliability.
A dynamic model for coordination of generation and transmission expansion planning in power systems.	[120]			Proposed a new approach for simultaneous generation and transmission expansion planning in a dynamic context.
Probabilistic transmission expansion planning to maximize the integration of wind power.	[116]			Developed a framework for transmission and wind power expansion planning which is formulated as a bi-level optimization model. Furthermore, it showed the role of a proper expansion planning strategy in attraction of private investment for wind power.
Well-being analysis for composite generation and transmission systems based on pattern recognition techniques.	[123]	Studies on evaluation efficiency and systems	Evaluation efficiency	Proposed a computationally efficient methodology for well-being analysis of a composite generation and transmission system. It provides the evaluation process with an intelligent memory to speed up the simulation of the operating states.
Composite system well-being evaluation based on non-sequential Monte Carlo simulation.	[19]			Improved computational efficiency of composite system well-being evaluation through proposing a new method based on non-sequential MCS. The computational effort was reduced by the use of the conditional probability method allied with the non-sequential MCS.
Reliability assessment of generation and transmission systems using fault-tree analysis.	[124]			Proposed a methodology for improving the computational efficiency of reliability evaluation through incorporating deterministic approach with the fault-tree analysis.
Short-term reliability evaluation using control variable based dagger sampling method.	[24]			Proposed a new variance reduction method for improving computational ability of composite power system reliability. The proposed method is based on control variable and dagger sampling techniques.
State-space partitioning method for composite power system reliability assessment.	[33]			Proposed a new method that compliments Variance Reduction Techniques for further acceleration of sampling low probability states. It can be combined with DC or AC power flow or other analysis tool.
Reliability Evaluation of Composite Power Systems Using Markov Cut-Set Method.	[129]			Proposed a DC-OPF Markov cut-set method for accelerating the evaluation of composite power system reliability taking into consideration the dependence of components introduced by fluctuating weather.
Composite power system reliability evaluation using modified minimal cut set approach.	[128]			Improved the computational efficiency through developing a new minimal cut set method. It demonstrated high applicability in large scale systems and less computational effort.
Composite Reliability Evaluation Using Monte Carlo Simulation and Least Squares Support Vector Classifier.	[25]			Explored a hybrid computationally efficient method by combining MCS and the least squares support vector machine classifier. It can pre-classify the system states into success or failure states. Thus, the computational effort can be reduced by performing the adequacy analysis for the failure states only.
Adequacy equivalent development of composite generation and transmission systems using network screening.	[137]			Presented an approach to develop an adequacy equivalent of a composite system using network screening. It determines the adequacy equivalent of the external area in order to facilitate extensive reliability studies in the study area.
Modified SPEA2 for Probabilistic Reliability Assessment in Smart Grids.	[8]			Proposed a new multi-objective meta-heuristics method for improving the efficiency of probabilistic reliability evaluation. The proposed method showed superiority in reducing computational effort and satisfying the accuracy.
Techniques for improving precision and construction efficiency of a pattern classifier in composite system reliability assessment.	[127]			Presented a new technique for improving the precision and construction efficiency of a classifier utilized in reliability evaluation which can be used to improve computational efficiency.
Composite Power System Vulnerability Evaluation to Cascading Failures Using Importance Sampling and Antithetic Variates.	[135]			Proposed a new method based on Importance Sampling and Antithetic Variates techniques to evaluate cascading failures in a composite system reliability. The number of samples is noticeably reduce.
Composite Systems Reliability Evaluation Based on Monte Carlo Simulation and Cross-Entropy Methods.	[144]			Proposed a new methodology that combines a Cross-Entropy technique and MCS in order to accelerating the evaluation of composite power system reliability.
Eliminating Redundant Line Flow Constraints in Composite System Reliability Evaluation.	[138]			Developed a methodology to eliminate redundant line flow constraints in order to simplify optimal power flow conducted for the failure states. Thus, the evaluation of failure states can be accelerated
Splitting Method for Speedy Simulation of Cascading Blackouts.	[139]			Developed a simulation technique based on the splitting method for improving the simulation of cascading blackouts. It enables rapid and practical computation of large blackout probabilities.
A Cross-Entropy-Based Three-Stage Sequential Importance Sampling for Composite Power System Short-Term Reliability Evaluation.	[7]			Proposed a novel cross-entropy-based three-stage sequential importance sampling method. It handles the deficiency of sequential composite short-term reliability resulting from the low rate of component state transition
Intelligent state space pruning for Monte Carlo simulation with applications in composite power system reliability.	[125]			Developed a new algorithmic method for improving computational efficiency of MCS by intelligently and efficiently pruning the state space.
Adaptive sequential importance sampling technique for short-term composite power system adequacy evaluation.	[65]			Proposed a novel adaptive importance sampling technique for accelerating the short-term sequential reliability evaluation of composite power systems.
Accelerated State Evaluation and Latin Hypercube Sequential Sampling for Composite System Reliability Assessment.	[17]			Improved the computational efficiency of sequential MCS while retaining all of the aforementioned advantages of sequential simulation. The state evaluation process was facilitated to avoid the time-consuming mainly due to optimal power flow computations.
A new formulation for power system reliability assessment with AC constraints.	[132]			Approximated the AC power flow to formulate a linear power flow model which is capable of taking both active and reactive powers into account in reliability evaluation of composite power systems.
Extracting Rare Failure Events in Composite System Reliability Evaluation Via Subset Simulation.	[140]			Proposed a framework for reliability evaluation of composite power systems with subset simulation. The states with significant contribution to reliability indices were extracted to accelerate the simulation.
Power system reliability evaluation using a state space classification technique and particle swarm optimisation search method.	[126]			Introduced a new state space classification technique based on intelligent particle swarm optimization. It aims to speeding up the reliability evaluation through classifying the system states into success, failure, and unclassified subspaces without performing power flow analysis.
Application of Bayesian networks in composite power system reliability assessment and reliability-based analysis.	[133]			Proposed a new computationally efficient methodology to apply Bayesian Networks to composite power system reliability studies.
A Time-Dependent Approach to Evaluate Capacity Value of Wind and Solar PV Generation.	[27]			Improved the computational efficiency of the reliability evaluation by applying Fuzzy C-mean clustering algorithm to create a time-dependent model for wind power, solar generation, exchanged electricity, and load data.
A Continuous Time Markov Chain Based Sequential Analytical Approach for Composite Power System Reliability Assessment.	[5]			Reduced the computational effort of reliability evaluation by improving a continuous time Markov chain based sequential analytical approach. The new approach merges all high order contingencies into a single state, which can then be analyzed by MCS.
Improved Importance Sampling for Reliability Evaluation of Composite Power Systems.	[131]			Improved the computational efficiency of reliability evaluation through introducing Cross- Entropy based Monte Carlo simulation. This systematic method aims to find an optimal way of sampling load states, generation, and transmission line outages in order to minimize the computational effort.
Fast reliability evaluation method for composite power system based on the improved EDA and double cross linked list	[134]			Improved a new MCS approach in terms of computation and accuracy. The state pruning was accelerated by the improved estimation of distribution algorithm and double cross linked list.
Quasi Monte Carlo method for reliability evaluation of power system based on Dimension Importance Sorting.	[136]			Presented a non-sequential quasi MCS approach based on Dimension Importance Sorting. The proposed approach demonstrated computational efficiency and accurate indices.
A composite generation and transmission reliability test system for research purposes.	[141]		Evaluation test systems	Presents a reliability test system for research purpose. It is developed based on a real HV network in a province located in Iran.
Review of reduction techniques in the determination of composite system adequacy equivalents.	[142]	Review articles	Computation	Presented a review of the reduction techniques which are directly or indirectly related to the reliability evaluation of composite power systems.
Adequacy Assessment Considerations in Wind Integrated Power Systems.	[143]		Modeling approaches	Presented some of important factors and procedures that need to be considered when conducting reliability evaluation of wind power integrated system. It reviewed the considerations regarding wind speed data models, selecting the required data, wind energy conversion system models and their application.

. These are the articles which satisfy the inclusion criteria shown in Figure 3. In this table, categories and contributions of the articles are compared.

Eighty-two studies used educational purpose test systems, as shown in Figure 5. Only 26 adopted real test systems, and several used both categories of test systems. Eighty-seven studies used the reliability test system (RTS) and the Roy Billinton test system proposed by Billinton in 1979 [145] and 1989 [146], respectively.

The literature was categorized based on the location of the first author’s university to illustrate the regional distribution of the studies, as shown in Figure 6. HL2 reliability studies received more attention in Asia than in the combination of other regions, which indicates a tendency of increased interest in this topic in Asia. Iran (27/100) devoted the most attention, followed by the United States of America (19/100).

Researchers focused on renewable energy resources, and 31 out of 100 articles investigated power systems integrated with renewable energy resources. Twenty-six of 31 articles focused on wind power integration, and the remaining focused on the combination of wind power with hydro or solar power technologies, as shown in Figure 7. These articles are categorized in Figure 8 according to latitude.

To achieve deep insights into the literature, the following sections were written to emphasize the motivations behind the reliability studies on HL2, the challenges that the researchers attempted to address, and the recommendations for improving this research area.

4.1. Motivations

The increase in electricity dependence has led to remarkable developments in the power industry. The structural changes that recently occurred in this industry sent a clear signal to planners and operators about the urgent need to develop a reliability evaluation process that matches recently developed power systems [107]. Therefore, HL2 reliability evaluation is considered a promising research area. For a systematic discussion, this section classifies the studied literature into categories according to the motivations that stimulated the researchers to focus on this field.

4.1.1. Motivations Related to Matching Reality

The first step in reliability studies is to model individual components [147]. Accurate reliability indices can be achieved by obtaining many realistic models of the system. Therefore, matching reality is a critical motivation that can mainly be accomplished by considering uncertainty and other parameters.

Modeling of weather conditions, such as hurricanes, in reliability studies has led to numerous realistic indices [80]. However, considering weather conditions adds complexity to the evaluation process. This situation serves as a motivation to propose an evaluation approach that can handle this complexity [129]. In the case of renewable energy reliability studies, the researchers were compelled to consider weather conditions [66,91]. Evaluation approaches were proposed in [28,132] to present realistic indices by considering AC constraints in the reliability evaluation. Moreover, system constraints can be expanded to contain emission constraints [81].

Increased reliance on technology to control and monitor power systems refutes the assumption of ignoring these components. The control and monitoring system must be considered to obtain realistic results [10,79,83]. Dynamic analysis, apart from static analysis, should be performed to effectively assess reliability [9]. A comprehensive model is required in expansion planning. Hence, a dynamic analysis was presented in [120]. The other parameters that were considered to maintain an adequate level of reality were cascading failures [139] and protection system failures [84].

Uncertainty is a common characteristic of most physical components in power systems in reality. Another set of articles considered the uncertainty of input data to make the results close to reality [1]. Considerable realistic findings were obtained based on fuzzy theory [85] and the Bayesian network model [133].

The increased installation of renewable power resources has emphasized the importance of incorporating these resources into reliability evaluation [67]. This type of power sources is characterized by a high degree of intermittency [88]. Therefore, realistic models should be constructed to appropriately represent them in reliability evaluation [27,118,119].

4.1.2. Motivations Related to New Technology

Increased electricity demand requires the installation of new transmission systems. FACTS, which is an attractive area of development, was introduced to avoid the installation of new transmission lines [73]. Although this device consists of inexpensive and low-rated power components, it can control the main transmission parameters, such as line impedance, voltage, and power angle [74]. However, the effect of various FACTS devices on composite power system reliability has not been addressed adequately [101].

The hardwired architecture of power systems has been gradually replaced by communication networks and computer systems [78]. Assuming a reliable cyber system in the planning phase is no longer precise [77]. Investigation conducted on large scale blackout in power systems have revealed the critical role of information at control centers. Some outages might be avoided or significantly reduced if more complete information was provided through establishing sufficient telecommunication system [79]. A combination of power application security and supporting infrastructure security is required to be included in risk assessment process [148].

Optimal preventive maintenance planning requires the optimization of the overall cost and system reliability. Energy storage systems have recently emerged as an essential part of modern power grids. A probabilistic optimization framework is required to balance reliability while reducing the operation cost [32]. DR is another tool to enhance system reliability. Utilities apply this technology to avoid necessary investments while adhering to the increasing environmental concerns [121].

4.1.3. Motivations Related to Reliability Enhancement

The reliability of power systems has experienced many challenges, especially after the remarkable developments in this sector and the growing energy demand. Reliability enhancement is a critical duty of system planners and operators. They need to adequately ensure system reliability under operation system pressures, which can be implemented via system reliability evaluation [7]. Several researchers have proposed a maintenance plan to improve system reliability. The authors of [110] improved system reliability and minimized the operation cost by using an optimal maintenance plan for the system’s circuit breakers. Others achieved this target by improving a cost-effective replacement plan [111,112]. Supporting a transmission system with FACTS devices is also a promising strategy to improve system reliability, as shown in [26,74,101]. References [20,75,93] investigated transmission lines equipped with DTR to support system reliability. Reliability enhancement of wind integrated systems can be accomplished by optimal planning of energy storage [30,114]. Studies have also been conducted on DR programs to improve power system reliability [86,121].

4.1.4. Motivations Related to Power System Development

Keeping pace with the increasing developments in power system architecture and equipment is another motivation for the improvement of reliability evaluation tools. The increase in the scale of modern power systems stimulates actions to improve simulation efficiency and overcome computational burdens. Many studies reduced simulation time to facilitate reliability evaluation of large-scale applications [17,19,124,126,132,139,140,149].

The development in power systems is not limited to system scale and structure. Renewable energy integration is a common phenomenon in modern power systems. Therefore, other researchers focused on wind power to handle uncertainty [69,105], expansion planning [70,114,118,119], and transmission line reinforcement [106,107].

In a restructured power system, many players are assigned to serve the customers [8]. This condition increases the degree of system uncertainty. Moreover, the decisions made by these players remarkably affect the reliability of the power system [100]. These players should recognize the implications of their decisions and assets on system reliability [90]. However, this competitive environment makes price, quality, and reliability of the delivered energy important factors to both customer and supplier [150].

The effectiveness and advantages of smart grid applications have also attracted the attention of researchers [92]. The cyber–physical interface is the key advantage of smart grids, which provides a robust control system [83]. Cyber-induced dependent failures should be considered in HL2 reliability evaluation [77].

4.1.5. Motivations Related to the Needs of Customers, Planners, and Decision Makers

Customers have different valuations of service quality and tend to balance price and reliability to suit their needs. Restructured power systems give value to a customer’s choice and makes him a crucial player in the system [100]. This condition improves the service quality and encourages electricity enterprises to improve their system efficiency [90]. Reference [42] planned a spinning reserve to satisfy the reliability level required by customers.

Frequency and duration indices are more natural than other common indices for system operators [151]. These indices result in effective system evaluation, but they require additional adequacy analyses, which considerably increases the computational time [19]. By contrast, indices for the probability distributions of systems provide decision makers with considerable information and practical insights [95].

Short-term reliability evaluation has recently emerged as a beneficial tool in modern applications. DR programs are applied for a limited number of times over a year or month. Therefore, short-term assessment is highly effective [86]. Short-term assessment can also be used to evaluate system states before a large blackout occurs [24]. Component criticality is another important input for planners and decision makers when planning for maintenance, operation, and investment [111].

4.2. Challenges

With the rapid growth of the demand for power, electricity has become a global critical issue. Many challenges have been encountered with the development of this sector. Thus, power system reliability has attracted considerable concern. Many challenges associated with HL2 reliability were addressed by the authors of the surveyed articles. This SLR discusses the reported challenges combined with the citation of relevant references to which the readers can refer for further discussion. The challenges are categorized into a few sets, as shown below.

4.2.1. Challenges Related to Realistic Evaluation

Analyzing system operations and obtaining an appropriate model are the main steps used in reliability evaluation [73]. A system reliability model should match reality to obtain accurate results. A realistic model requires much effort combined with a large amount of historical data [152]. The integrity of a decision adopted during planning or operation stages is highly affected by model accuracy [20]. Therefore, perhaps the most persistent and crucial challenges are those related to the reality of the proposed model. This condition is evident because a large number of the surveyed studies focused on achieving a highly realistic and accurate model.

Many realistic indices can be achieved by considering the possible parameters that affect system performance. For example, weather condition remarkably affects the components [80,129]. The load model also affects the accuracy of indices [4]. References [28,132] handled AC constraints to improve the accuracy of outcomes.

Cascading failure is a common phenomenon in many infrastructure networks, such as power systems [152]. Modeling of cascading failures leads to highly accurate indices [135]. Many important factors, such as substations [9,10] and protection systems [22,84,110], should be considered in reliability evaluation. Other models, such as cyber systems [77,78,79,83], wind power generation [66], and DTR systems [20], should be improved to match reality.

Uncertainty is a serious challenge that should be addressed to improve model efficiency. Conventional reliability evaluation methods are unsuitable for renewable energy resources due to their intermittency and uncertainty [27]. Several researchers integrated uncertainty with power system parameters to obtain accurate load models [82,85] and renewable power resources [69,105,119]. The correlations among the system parameters were considered to obtain an accurate evaluation [88,91].

4.2.2. Challenges Related to Computational Cost

Computational complexity is an obstacle to the extensive practical application of reliability evaluation [33]. The increase in power system scale reveals the intensive complexity of HL2 reliability studies and the criticality of computational capabilities.

Although well-being analysis is valuable, it requires additional analyses that considerably demand extensive computational efforts [19]. Efficient methods for performing this analysis were created to make it suitable for large-dimension systems [123].

The number of system states exponentially increases with the power system dimension, resulting in a highly complex and time-consuming evaluation [132]. Researchers handled this issue by adopting several techniques, such as variance reduction, sampling, and network reduction [17,24,26,65,135,137].

Rapid developments in the power system structure pose a major challenge to researchers and planners in this sector. A modified minimal cut-set approach was proposed in [128] to overcome the computational complexity resulting from handling large scale power systems. Smart grid technology increases the amount of computational burden due to the diversity of energy resources and communication and control systems [8]. Considering the restructured power system requires many computational capabilities because numerous players join the system [90]. The growing interest in renewable energy resources has forced researchers and planners to consider them in the reliability evaluation. However, these resources are normally unpredictable and intermittent, which increases the computational effort required to obtain an acceptable level of accuracy [27,67].

A trade-off between detailed modeling and computational cost have formed a controversial issue discussed by some authors. Although considering time-varying elements (such as wind, load, and river inflows) in reliability evaluation produces accurate findings, high computational cost is required [89]. Cascading failures is another factor that should be minutely modeled in order to study large-scale blackout. However, it requires additional system states to be simulated. This issue was discussed in [135]. The more reliable the power system is, the smaller the probability of system failure is [136]. Sequence of rare failures could lead to large blackout in a composite power system [139]. Moreover, an exhaustive computation of detailed modelling for all possible combinations of failures is complicated. This phenomena was discussed in [135,139]. In [72], transmission system model was improved through incorporating line switching operations. However, complexity and uncertainty made analysis of the power system more challenging.

4.2.3. Challenges Related to the Economic Aspect

Several HL2 reliability evaluation studies aimed to mitigate the operation and upgrading costs of power systems. The continuous expansion of power grids requires considerable development in transmission systems. However, the installation of new transmission lines is not economically feasible [73]. Thus, several researchers overcame this excessive cost by introducing measures and validating them using reliability evaluation [71,73,74,93,113].

The cost of maintenance procedures is considerably high when improperly managed. Several researchers have proposed new strategies to enhance the cost efficiency of maintenance and mitigate excessive expenditures while maintain efficient system functions [111]. References [47,48] investigated and optimized the validity of several strategies. The number of spare units is an issue to the utility of power systems. The costs of holding spare equipment should be balanced with the required reliability level [97].

Energy storage is a technology to enhance renewable energy integration. However, its cost is still a major obstacle to its wide adoption [32]. Optimization techniques were proposed to obtain the right balance between energy storage system expenditure and reliability.

4.2.4. Challenges Related to System Deficiency

Several factors reduce the reliability of power systems. A satisfactory degree of reliability is essential in planning and operation phases. The high penetration level of renewable sources jeopardizes system stability due to the intermittency and uncertainty of these sources [70]. During high-power generation, a waste of renewable energy occurs, and low renewable power production makes the system fragile [107]. Therefore, persistent development of the system structure and control is required to adapt to the increasing emergence of intermittent power resources [70]. The optimal site, size, and installation year of these resources should be systematically identified [115].

The introduction of modern power systems requires that a cyber-system must be extensively dealt with because it is an essential component of smart grids. An attacker could intrude into control and communication systems and disturb the service by exploiting the vulnerabilities of the cyber system. The inevitable increase in cyber system dependence leads to many vulnerabilities [76].

The transmission system plays a crucial role in bulk system planning, operation, and maintenance practices [153]. Electricity demand has exponentially increased, and electricity generation is installed in locations that are distant from intensive load areas. The installation of intermittent renewable energy has spread widely. All of these conditions make the transmission system fragile and present a critical challenge to system reliability [26,74,101,107].

4.3. Recommendations

The important recommendations mentioned by the researchers of the studied literature are summarized. This section aims to mitigate the challenges encountered by researchers, planners, and decision makers in the HL2 reliability area.

4.3.1. Recommendations to Researchers

The application of HL2 reliability evaluation is limited in practical power due to the challenges mentioned in Section 5 [84]. The considerable development of power system structure and scale should be matched by an improvement in the tools and processes of reliability evaluation. Thus, recommendations were provided in line with the literature in this area. The recommendations were assigned to improve the reliability evaluation and achieve two main purposes, namely, suitability in practical applications and synchronization with recent developments in composite power systems. Moreover, the impact of different parameters on HL2 reliability was emphasized.

Remarkable effort was exerted to accelerate the evaluation and thus support the reliability evaluation of large-scale systems. High computational efficiency can be achieved by combining various techniques, such as network reduction with pattern recognition [123] and state-space partitioning with variance reduction [33]. A combination of intelligent state-space pruning and sequential MCS need to be investigated to determine time-dependent parameters, such as renewable energy resources [134]. The subset simulation based method presented in [140] could be improved to include chronological simulation and obtain area and bus indices.

Although several researchers proposed fast methods, they considered other input variables, such as reactive and voltage constraints [25,98]. Moreover, dynamic assessment is important to guarantee system stability [70]. A comprehensive model of several system components, such as protection systems, should be developed to obtain realistic results [84]. Many items can be added to the proposed HRTS in [141] to enrich its database.

Several of the investigated studies did not consider a number of influential factors. Economic evaluation of energy storage operation in wind integrated power systems should be considered to obtain accurate outcomes [114]. Market design and locational incentives should also be considered in wind power integration [68]. Further reliability improvement was targeted by other researchers, and the reliability obtained by DTR system installation in [93] can be improved by coupling with DSM or FACTS.

Several studies in the investigated literature proved that FACTS devices can remarkably improve system reliability. However, other types of FACTS devices should be considered for wider insight [26]. Reliability analysis of systems that combine different FACTS controllers is also required [73]. Wind power is the most common renewable energy source investigated in HL2 reliability studies. However, other renewable sources (e.g., photovoltaic) have different outcomes and should be considered [89,107,116]. Cyber-attack scenarios should be investigated under different renewable energies [76].

A comparison study provides decision makers with a detailed discussion of several options. The performance of various energy storage technologies in wind integrated power system should be differentiated [114,143]. Accurate insights can be obtained by using estimated indices that consider voltage and reactive power constraints, and RTS indices can be evaluated to serve as a benchmark for future work [28]. A Bayesian network model can also be used to compare various protection system scenarios [84].

Most of the studies were implemented based on test systems for educational purposes. Most of these systems were designed a long time ago and do not fit modern power systems. Thus, several researchers repeated their work on ready-made or commercial power system reliability [17,110,137]. Several of the methodologies presented in literature are also applicable to other systems, such as distribution systems [80].

4.3.2. Recommendations to Planners and Operators

The outcomes of the studies were summarized by the researchers to fit real-life conditions. Valuable recommendations were given by the researchers to be followed by planners and operators. They can help reflect the researchers’ effort on real applications.

Several studies proved the effectiveness of using a certain technology with regard to system reliability and provided encouragement to adopt these technologies. For example, an HVDC transmission system that incorporates a voltage-sourced converter tapping station can remarkably improve the reliability indices at the load point [71]. Distributed static series compensators, which are FACTS devices, are recommended to be installed in transmission systems [74]. The optimal setting and control mode of UPFC are verified to be applicable to real-life systems [101]. The storage system has a positive effect on the wind integrated power system [32,92]. DTR is another technology that supports transmission capacity under an intermittent power source and enhances HL2 system reliability [93]. A high reliability level can be achieved by integrating DTR with other technologies, such as DSM or storage system. The results of [72] can be used as a guide in the actual applications of line switching operations.

Several researchers stated that a number of parameters should be considered in the planning phase to achieve high accuracy. The impact of information infrastructure on reliability is indisputable and need to be included in HL2 reliability studies [79]. The availability of wind turbines has an impact on wind farm output and system reliability [67]. The inclusion of emission constraints leads to accurate informative reliability evaluation [81].

Planners and operators are also recommended to apply the proposed methodologies presented in literature in real applications. The methodology proposed in [119] can be adopted for grid expansion planning of HL2 power systems integrated with a wind power farm. The probability distribution functions of reliability indices provide a clear interpretation of these indices [95]. A new method for probabilistic reliability evaluation with multi-objective meta-heuristics provides an accurate evaluation with reduced computational effort for planners [8]. Reference [122] accelerated HL2 reliability evaluation to fit large composite systems in real applications. The authors of [128] recommended their new minimal cut set method to be used for accelerating the reliability evaluation of large scale composite power system. Another methodology presented in [107] can be applied to transmission planning when thermal units are replaced by intermittent sources.

For generation system expansion planning, planners can determine the optimal load allocation plan by using the approach presented in [90]. Multiple correlations and uncertainty should be included to obtain highly accurate results, especially in renewable power sources [86,88,91]. Although the consideration of multiple correlations results in increased computational burden, several researchers proposed efficient computational methods [27]. Better planning decisions can be taken if aging and loading effects are considered in DTR system planning [20].

4.3.3. Recommendations to Decision Makers and Authorities

The provision of reliable service to customers is a challenge to utility. Decision makers and authorities are responsible for ensuring the quality and reliability of power systems. Many researchers provided suggestions to maintain the development in this sector.

Network design standards and regulations need to be improved and updated because conventional power systems continually move toward the smart grid paradigm [93,106]. Decision makers are required to select a suitable energy policy based on renewable energies [117].

System reliability analysis is an effective process to provide decision makers with detailed insights into the feasibility and benefits of a project. The complications of modern power systems demonstrate the urgent need to follow state-of-the-art procedures for evaluating power system reliability with regard to renewable energy integration [68], cyber system [76], maintenance [108], load management [87], transmission system [20,71], and protection system [22]. Component criticality is an important input to the decision-making stage in investment operational planning and maintenance [99].

5. Conclusions

5.1. Synthesis of Findings

Power has become a global concern due to the growing population and the increase in technology dependence caused by the modern technology revolution. From customers’ point of view, the provision of continuous electricity service is indisputable. Therefore, literature shows the importance of reliability evaluation in assuring a reliable power supply. Although research on reliability evaluation of composite power systems has been active since the 1960s, the applications of this topic in real life are still limited.

The main contribution of this SLR is the provision of comprehensive insights into the literature. This approach offers valuable knowledge about the trends of published works conducted on reliability studies on composite power systems. It helps the future scholars to precisely identify the gaps in this area. The literature shows four main categories in terms of contributions; investigation studies, planning and optimization studies, evaluation efficiency and systems studies, and review articles. Motivations, challenges, and recommendations mentioned in the literature are highly diverse, which demonstrated considerable ramification in this topic.

The literature demonstrates that some specific domains (e.g., computational efficiency and wind power) received attention more than others (e.g., realistic test systems and solar power). Moreover, there is lack of review articles that summarize and analyze relevant findings. Another obvious trend, most of the researchers apply their study on educational purpose at the expense of realistic applications.

Most of the researchers used educational purpose test systems proposed in 1979 and 1989. Nevertheless, our review found that these systems operate according to North America power grids. They are not equipped with modern technologies. This compelled researchers to individually modify the systems which led to inconsistent results. Considering the urgent requirement for realistic and modern test systems, only one article proposed a new test system based on a real HV network in the south of Iran. However, this system lacks some items and data that can be required for future studies.

This SLR also finds that considerable effort was devoted to reduce the computational burden at the expense of accuracy. Acceleration of the evaluation process was a critical issue in the beginning of computer capabilities. It is recommended by some authors to focus on obtaining accurate and realistic indices rather than worrying about computational abilities.

Another obvious trend is related to reliability studies on power systems integrated with renewable energy resources. Wind power elicited the most attention, whereas other types of renewable energy resources were nearly ignored. This condition is due to the location of the researchers. Most of the researchers conducted their studies in universities located between the latitude 15° and 75° where wind power is the most common renewable energy source. This condition could be a motivation to countries located around the equator to focus on the reliability of solar power integrated systems.

The survived literature showed that Asia is the leading continent in reliability evaluation, accounting for more than half of the studies (52/100). This finding indicates increased interest in the topic in Asia, whereas the interest in Europe is diminished. This condition reflects the new rising regions in the power industry (e.g., Iran conducted more than a quarter of the studies, i.e., 27/100).

5.2. Limitation

The most pertinent limitations of this SLR are the number and identity of surveyed articles, although the selected sources of the articles are reliable and representative of a broad collection. Furthermore, the sample of published research on HL2 reliability does not necessarily reveal the reality of this field because several valuable efforts have not been published to the public for several reasons. For highly realistic insights, an SLR needs to cover reliability studies on HL1 and HL3.