DocumentCode :
3282146
Title :
Ties between classical energy based Lyapunov functions in nonlinear circuits and power systems
Author :
DeMarco, Christopher L.
Author_Institution :
Dept. of Electr. & Comput. Eng., Wisconsin Univ., Madison, WI, USA
Volume :
6
fYear :
1992
fDate :
10-13 May 1992
Firstpage :
3009
Abstract :
Lyapunov and energy-based stability analysis for estimating regions of attraction for stable equilibria in power system models has a very long history. The author provides tutorial background on the development of such energy analysis with the goal of establishing connections between the types of energy functions employed in power systems and classical energy based Lyapunov functions in circuits. The main result shows that the dynamic model used in such power system stability analyses has a nonlinear circuit analogy. In this analogy, the power system Lyapunov function is simply stored energy in the circuit. Conditions for existence of a closed-form expression for energy then correspond to reciprocity in the analogous circuit. Nonzero transfer conductances in the power system model appear as nonreciprocal inductance terms in the circuit analogy. Addition of parasitic terms to resolve ill-defined trajectories also has a simple analogy in the circuit model
Keywords :
Lyapunov methods; nonlinear network analysis; power system stability; Lyapunov functions; attraction regions; dynamic model; energy-based stability analysis; nonlinear circuit analogy; nonreciprocal inductance terms; nonzero transfer conductances; power system stability analyses; stable equilibria; Closed-form solution; History; Lyapunov method; Nonlinear circuits; Nonlinear dynamical systems; Power system analysis computing; Power system dynamics; Power system modeling; Power system stability; Stability analysis;
fLanguage :
English
Publisher :
ieee
Conference_Titel :
Circuits and Systems, 1992. ISCAS '92. Proceedings., 1992 IEEE International Symposium on
Conference_Location :
San Diego, CA
Print_ISBN :
0-7803-0593-0
Type :
conf
DOI :
10.1109/ISCAS.1992.230688
Filename :
230688
Link To Document :
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