A unified analysis of security-constrained OPF formulations considering uncertainty, risk, and controllability in single and multi-area systems

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Abstract

This paper presents a variety of different Security Constrained Optimal Power Flow formulations addressing four power system operation and planning problems: (a) forecast uncertainty of Renewable Energy Sources (RES) in-feed and load, (b) security criteria based on contingency risk, (c) corrective control offered through High Voltage Direct Current (HVDC) lines and flexible demand, (d) operation of multi-area systems with limited data exchange. A comprehensive probabilistic Security Constrained Optimal Power Flow (SCOPF) framework based on scenario-based methodologies is presented. This approach provides a-priori guarantees regarding the probability of the constraint satisfaction. In this paper, we show how HVDC lines, flexible demand, and novel risk-based operational paradigms can be used to handle outage uncertainty and the fluctuating in-feed from RES. Our analysis is extended by introducing a distributed probabilistic SCOPF algorithm for multi-area systems involving different levels of data exchange. The applicability of the methods is demonstrated on the three-area Reliability Test System (RTS-96). Results are compared based on operating costs and maximum wind power penetration. © 2013 IEEE.

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Vrakopoulou, M., Chatzivasileiadis, S., Iggland, E., Imhof, M., Krause, T., Makela, O., … Andersson, G. (2013). A unified analysis of security-constrained OPF formulations considering uncertainty, risk, and controllability in single and multi-area systems. In Proceedings of IREP Symposium: Bulk Power System Dynamics and Control - IX Optimization, Security and Control of the Emerging Power Grid, IREP 2013. https://doi.org/10.1109/IREP.2013.6629409

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