Risk Averse Security Constrained Stochastic Congestion Management
Abstract
In this chapter an innovative probabilistic security constrained congestion management (PSCCM) approach is proposed, considering the probable outage of main elements of power systems such as transmission lines, generation units as well as the uncertainty of wind power generation. The proposed PSCCM approach aims to modify the base-case operation point of the system in such a way that if any severe contingency happens, the cost of restoration of normal operation in the post-contingency state will be minimized. Hence the proposed approach is a two stage stochastic programming problem, in which both of the base-case (first stage) and all probable severe post-contingency states (second stage) are considered together. The control actions performed on the base-case operation point are called preventive controls, whereas those activated following occurrence of contingencies are corrective controls. Also, in order to reduce the risks associated with economic decisions in the proposed stochastic model, a proper risk index called conditional value at risk (CVaR) is utilized, which facilitates lower cost corrective controls in some post-contingency states. The proposed PSCCM method is examined on the IEEE RTS 24-bus test system, and the obtained numerical results demonstrate its applicability for optimal operation of practical power systems.
Keywords
Risk Averse Security Stochastic Congestion Management Conditional value at risk Two stage stochastic programming Base-case Post-contingency states Uncertainty and risk modeling System Operator Contingency selection criterion Corrective controls failureNotes
Acknowledgements
This work was conducted in the Electricity Research Centre, University College Dublin, Ireland, which is supported by the Electricity Research Centres Industry Affiliates Programme (http://erc.ucd.ie/industry/). This material is based upon works supported by the Science Foundation Ireland, by funding Alireza Soroudi, under Grant No. SFI/09/SRC/E1780. The opinions, findings and conclusions or recommendations expressed in this material are those of the author(s) and do not necessarily reflect the views of the Science Foundation Ireland.
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