Efficient Eigen-Analysis for Large Delayed Cyber-Physical Power System Using Explicit Infinitesimal Generator Discretization

PROJECT TITLE :

Efficient Eigen-Analysis for Large Delayed Cyber-Physical Power System Using Explicit Infinitesimal Generator Discretization

ABSTRACT:

Time delays significantly compromise the performance of wide-space measurement and Control System and therefore could jeopardize the stability of cyber-physical Power Systems (CPPS). A delayed CPPS (DCPPS) encompasses a transcendental characteristic equation, leading to an infinite range of eigenvalues basically unsolvable by ancient eigen-analysis strategies. In this paper, an explicit infinitesimal generator discretization (EIGD) approach is presented to tackle the historically intractable problem. First, the delayed differential equation of DCPPS is remodeled to an normal differential equation by using an operator known as infinitesimal generator. The operator is then optimally discretized, resulting in a very highly structured, sparse and explicit approximant matrix. By exploiting the sparsity of the matrix which of system matrices, the rightmost eigenvalues of the original DCPPS can be accurately computed. The contributions of the EIGD approach lie in the following: 1) it forms a theoretical foundation for accurately obtaining the essential eigenvalues of a CPPS with multiple delays; 2) it constructs a highly structured approximant matrix that permits efficient eigen-analysis of a big DCPPS by making full use of sparsity techniques; and 3) it integrates the shift-invert transformation, Arnoldi algorithm, Newton correction and eigen-sensitivity to form a computational framework for the analysis of huge DCPPS. The accuracy, potency and scalability of EIGD have been extensively studied and completely validated on the 2-space four-machine check system and a practical giant transmission grid.

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