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Higher order interior-point method for minimising load-shedding in a competitive electric power market

Higher order interior-point method for minimising load-shedding in a competitive electric power market

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A method for computing minimum load shedding in a competitive electric power market is proposed. The minimum load-shedding problem is formulated as an optimal power flow (OPF), including equality and inequality nonlinear constraints which take into account the system's security conditions. A multiple predictor-corrector (MPC) higher order interior-point method was implemented and tested. The utilisation of an MPC method leads to both a smaller number of iterations for convergence and smaller computational times. The idea is to determine individual load-shedding percentages for each busbar to assure predefined security conditions. Several test power systems were used in the simulations, namely the IEEE 30, 57, 118 and 300 busbar systems. Also, two realistic power systems were used, a 464 busbar, corresponding to the interconnected Peruvian system, and a 2256 busbar corresponding to part (South-Southeast) of the interconnected Brazilian system. An analysis of the dual variables related to the optimisation problem is also carried out.

Inspec keywords: power system interconnection; predictor-corrector methods; load shedding; power system security; load flow; power markets; busbars; iterative methods; optimisation

Other keywords: multiple predictor-corrector; interconnected Brazilian system; IEEE 118 busbar system; electric power market; IEEE 300 busbar system; IEEE 57 busbar system; higher order interior-point method; IEEE 30 busbar system; iterations method; load-shedding; optimal power flow; interconnected Peruvian system; power system security; optimisation problem

Subjects: Interpolation and function approximation (numerical analysis); Optimisation techniques; Power system management, operation and economics

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