Title :
A new method of constructing Lyapunov functions for power systems
Author :
DeMarco, Christopher L.
Author_Institution :
Dept. of Electr. & Comput. Eng., Wisconsin Univ., Madison, WI, USA
Abstract :
The author describes a method of constructing Lyapunov functions for systems that satisfy certain assumptions on their structure. He introduces the term quasigradient to identify systems which have the desired structure, and shows by several examples that many existing power system models used for Lyapunov analysis do possess the quasigradient structure. An algorithm for ascertaining whether a system possesses quasigradient structure is described. The use of the proposed method to construct Lyapunov functions in power system models having additional control dynamics is discussed
Keywords :
Lyapunov methods; power system analysis computing; power system control; stability; Lyapunov analysis; Lyapunov functions; control dynamics; examples; power system models; power systems; quasigradient structure; Drives; Lyapunov method; Nonlinear systems; Power system control; Power system dynamics; Power system modeling; Power system stability; Power systems; Symmetric matrices; System testing;
Conference_Titel :
Circuits and Systems, 1988., IEEE International Symposium on
Conference_Location :
Espoo
DOI :
10.1109/ISCAS.1988.15070
