Corrective Control: Stability Analysis of Unified Controller Combining Frequency Control and Congestion Management

Conference: NEIS 2018 - Conference on Sustainable Energy Supply and Energy Storage Systems
09/20/2018 - 09/21/2018 at Hamburg, Deutschland

Proceedings: NEIS 2018

Pages: 6Language: englishTyp: PDF

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Khamisov, O. O.; Chernova, T. S.; Bialek, J. W. (Center for Energy Systems, Skolkovo Institute of Science and Technology (Skoltech), Moscow, Russia)
Low, S. H. (California Institute of Technology, Pasadena, USA)

This paper analyses stability of the Unified Controller (UC) that combines frequency control and congestion management and therefore makes it possible to move from preventive to corrective power system control. Earlier work by the authors of UC proved asymptotic stability of the methodology but the proof was based on a simplified first-order model of the turbine and turbine governor. We show that a higher order model of the turbine governor leads to eigenvalues with small but positive real parts. Consequently, we develop a modification of the methodology that decouples the physical and control systems and therefore results in all the eigenvalues having negative real parts. We illustrate the effectiveness of the modification on a realistic model of 39-bus model of New England power system implemented in Power System Toolbox (PST).