Robust design and coordination of multiple damping controllers using nonlinear constrained optimization

• Published in: IEEE transactions on power systems Vol. 15; no. 3; pp. 1084 - 1092
• Main Authors: Kamwa, I., Trudel, G., Gerin-Lajoie, L.
• Format: Journal Article
• Language: English
• Published: New York IEEE 01.08.2000; The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
• Subjects: Blinds; Buses (vehicles); Cascades; Constraints; Control systems; Controllers; Damping; Design engineering; Design optimization; Feedback; Optimization; Performance analysis; Power system control; Power system measurements; Power system stability; Robust control; Robust stability; Robustness; Studies
• ISSN: 0885-8950; 1558-0679
• DOI: 10.1109/59.871737

This paper proposes a design approach for power system stabilizing controllers based on parameter optimization of compensators with generalized structures. It shows that a selective modal performance index is an improved measure of the stabilizing effect of a given design, although its blind minimization can end in a useless local minimum. Adding stability, sensitivity and robustness constraints greatly improve the engineering significance of the resulting design. The development is fully multivariable and remains sufficiently general to apply equally well to a feedback or cascade stabilizer, with any type of input signal or transfer function structure. Three examples are used: a robust PSS design for a single machine-infinite bus system with multiple operating points; multiple PSS coordination for a large system; and a coordinated design of four PSSs for the Kundur's two-area test system. All results show good prospects for the constrained optimization based approach to the design of robust stabilizers.