Development of an Effective Model for Computing Rightmost Eigenvalues of Power Systems with Inclusion of Time Delays

This paper proposes a new discretization model for computing the rightmost eigenvalues, i.e., the dominant modes, of the power system with inclusion of time delays. At first, a general model of the time-delay power system is introduced. This model can be adopted for analysis of both retarded and neutral-type time-delay systems. Then, based on the general model, a discretization method for computing the rightmost eigenvalues is developed. In the method, only the retarded variables are required to be discretized. As a result, the order of the proposed model is far less than the order of existing models for solving eigenvalues of time-delay power systems. Meanwhile, the sparsity of the original power system model is passed down to the discretized model. The proposed model is tested on 5 power systems, from 4 machines to 562 machines, to show its effectiveness and efficiency.