IEEE Transactions on Power Systems · 2002 · 152 citations · 17 references
EngineeringElectrical EngineeringDesign OptimizationEnergy EconomicsOptimizationLinear ProgrammingOptimization TheoryPower Grid AnalysisPower OptimizationDispatching AlgorithmsInterior-point Methods For FlowOptimal DispatchOptimal Power DispatchPower Flow AnalysisPower System OptimizationPrimal-dual AlgorithmsStep Length
In this paper, the solution of the optimal power flow dispatching (OPFD) problem by a primal-dual interior point method is considered. Several primal-dual methods for optimal power flow (OPF) have been suggested, all of which are essentially direct extensions of primal-dual methods for linear programming. The aim of the present work is to enhance convergence through two modifications: a filter technique to guide the choice of the step length and an altered search direction in order to avoid convergence to a nonminimizing stationary point. A reduction in computational time is also gained through solving a positive definite matrix for the search direction. Numerical tests on standard IEEE systems and on a realistic network are very encouraging and show that the new algorithm converges where other algorithms fail.
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Practical methods of optimization
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Nonlinear programming: theory and algorithms
Computers & Operations Research · 1993 · 5.8K citations
Practical Methods of Optimization.
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