Reactive power planning under conditional-value-at-risk assessment using chance-constrained optimisation

Author(s)

Lopez, Julio ^[1] ; Contreras, Javier ^[2] ; Mantovani, Jose R. S. ^[1]

Affiliation

^[1] UNESP Univ Estadual Paulista, Fac Engn Ilha Solteira, Dept Engn Eletr, Sao Paulo - Brazil

^[2] Univ Castilla La Mancha, ETS Ingn Ind, E-13071 Ciudad Real - Spain

• Document type: Journal article
• Source: IET GENERATION TRANSMISSION & DISTRIBUTION; v. 9, n. 3, p. 231-240, FEB 19 2015.
• Web of Science Citations: 9

Abstract

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. (AU)

• FAPESP's process: 10/16728-5 - VAr Planning of Multi-Areas Power Systems Taking into Account Stochastic Models.
• Grantee: Julio César López Quizhpi
• Support Opportunities: Scholarships in Brazil - Doctorate
• FAPESP's process: 12/21570-7 - Reactive power planning in Multi-Area electric power systems considering risk analysis, demand and and capacity of reactive PowerUnertainties and investment restrictions limit
• Grantee: Julio César López Quizhpi
• Support Opportunities: Scholarships abroad - Research Internship - Doctorate