Abstract
In this paper, two new models suitable for power system stability analysis with considering time delays are derived. They are constraint time-delayed ordinary differential equation model (CTODE model) and constraint time-delayed differential algebraic equation model (CTDAE model). In these two models, dimension of the time-delayed equation is significantly reduced so as to speed up the calculation efficiency. Detail derivations to their nonlinear and incremental linear forms are given. And, some of their good features are discussed. Finally, a typical time-delayed system and single-machine-infinite-bus system are selected to validate the new models through Lyapunov-Krasovskii criterion and eigenvalue locus tracing procedure. It reveals that some unnecessary calculations in the algorithm can be avoided to achieve higher efficiency based on new models. The new models and new criterion given in this paper are helpful to design wide area protectors for bulk power systems.
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