Reactive power planning under conditional-value-at-risk assessment using chance-constrained optimisation
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Inst Engineering Technology-iet
Institution of Engineering and Technology (IET)
Institution of Engineering and Technology (IET)
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This study presents a risk-assessment approach to the reactive power planning problem. Chance-constrained programming is used to model the random equivalent availability of existing reactive power sources for a given confidence level. Load shedding because of random equivalent availability of those reactive power sources is implemented through conditional-value-at-risk. Tap settings of under-load tap-changing transformers are considered as integer variables. Active and reactive demands are considered as probability distribution functions. The proposed mathematical formulation is a two-stage stochastic, multi-period mixed-integer convex model. The tradeoff between risk mitigation and investment cost minimisation is analysed. The proposed methodology is applied to the CIGRE-32 electric power system, using the optimisation solver CPLEX in AMPL.
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Risk management , Load shedding , Power transformers , Minimisation , Investment , Reactive power planning , Conditional-value-at-risk assessment , Chance-constrained optimisation , Chance-constrained programming , Random equivalent availability , Reactive power sources , Confidence level , Under-load tap-changing transformers , Integer variables , Reactive demands , Probability distribution functions , Mathematical formulation , Two-stage stochastic model , Multiperiod mixed-integer convex model , Risk mitigation , Investment cost minimisation , CIGRE-32 electric power system , Optimisation solver CPLEX , AMPL
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Iet Generation Transmission &distribution. Hertford: Inst Engineering Technology-iet, v. 9, n. 3, p. 231-240, 2015.
