Chance Constrained Programming for Optimal Power Flow Under Uncertainty

Solution approaches to chance constrained programming (CCP) have been recently developed and applied in many areas for optimization under uncertainty. Due to the nonlinear model with multiple uncertain variables as well as multiple output constraints, CCP has not been directly applied to optimal pow...

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Vydané v:IEEE transactions on power systems Ročník 26; číslo 4; s. 2417 - 2424
Hlavní autori: Zhang, Hui, Li, Pu
Médium: Journal Article
Jazyk:English
Vydavateľské údaje: New York IEEE 01.11.2011
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Predmet:
Chance constrained programming
Computational modeling
Constraint theory
Constraints
Linear approximation
Mathematical analysis
Mathematical model
Mathematical models
multivariate integration
Nonlinearity
Normal distribution
optimal power flow
Optimization
Power flow
Programming
Random variables
Studies
Uncertainty
ISSN:0885-8950, 1558-0679
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Shrnutí:Solution approaches to chance constrained programming (CCP) have been recently developed and applied in many areas for optimization under uncertainty. Due to the nonlinear model with multiple uncertain variables as well as multiple output constraints, CCP has not been directly applied to optimal power flow (OPF) under uncertainty. The objective of this paper is twofold. First, we introduce the CCP approach to OPF under uncertainty and analyze the computational complexity of the chance constrained OPF. Second, the effectiveness of implementing a back-mapping approach and a linear approximation of the nonlinear model equations to solve the formulated CCP problem is investigated. Load power uncertainties are considered as multivariate random variables with correlated normal distribution. Based on both the nonlinear and the linearized model, results of a five-bus system and the IEEE 30-bus test system are presented to demonstrate the scope of chance constrained OPF.
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ISSN:0885-8950
1558-0679
DOI:10.1109/TPWRS.2011.2154367