Lyapunov function construction for a power system including induction machine dynamic characteristics.

This paper presents a systematic procedure of constructing a Lyapunov function for power systems with induction machine dynamics characteristics by the state function method. Constructing a Lyapunov function for power systems with induction machines is a very difficult problem. In the composition process of the proposed Lyapunov function, the slipping dynamic characteristic of the induction machine is implicitly expressed in the swing equation of power systems. As a result, the dynamic characteristic of an induction machine becomes equivalent to a synchronous machine with a voltage adjustment mechanism to which a dissipation function is added. Using this proposed system description, the Lyapunov function is composed by the state function method, which is based on an expanded energy function, under the condition of some approximations. The effectiveness of the proposed Lyapunov function is verified numerically for multimachine power systems with induction machine loads. © 2005 Wiley Periodicals, Inc. Electr Eng Jpn, 151(1): 34–42, 2005; Published online in Wiley InterScience (<URL>www.interscience.wiley.com</URL>). DOI 10.1002/eej.10372 [ABSTRACT FROM AUTHOR]