Data-Driven Wide-Area Control Design of Power System Using the Passivity Shortage Framework

Abstract

A novel wide-area control design is presented to mitigate inter-area power\nfrequency oscillations. A large-scale power system is decomposed into a network\nof passivity-short subsystems whose nonlinear interconnections have a\nstate-dependent affine form, and by utilizing the passivity shortage framework\na two-level design procedure is developed. At the lower level, any generator\ncontrol can be viewed as one that makes the generator passivity-short and $L_2$\nstable, and the stability impact of the lower-level control on the overall\nsystem can be characterized in terms of two parameters. While the system is\nnonlinear, the impact parameters can be optimized by solving a data-driven\nmatrix inequality (DMI), and the high-level wide-area control is then designed\nby solving another Lyapunov matrix inequality in terms of the design\nparameters. The proposed methodology makes the design modular, and the\nresulting control is adaptive with respect to operating conditions of the power\nsystem. A test system is used to illustrate the proposed design, including DMI\nand the wide-area control, and simulation results demonstrate effectiveness in\ndamping out inter-area oscillations.\n