Switched electrical networks and bilinear equations
Abstract
An investigation is conducted concerning the state equations which arise in the description of power processing systems. Attention is given to the role played by Lie groups and Lie algebras in the characterization of the dynamical features of the systems. The bilinear equations used for the representation of the network characteristics are discussed along with the nature of the solutions for the equations. The application of the described approaches is illustrated with the aid of a number of network examples.
 Publication:

In: Annual Allerton Conference on Circuit and System Theory
 Pub Date:
 1974
 Bibcode:
 1974cstm.proc..294W
 Keywords:

 Electric Networks;
 Electric Switches;
 Energy Conversion;
 Lie Groups;
 Linear Equations;
 Network Analysis;
 Differential Equations;
 Electric Power;
 Equations Of State;
 Matrices (Mathematics);
 Performance Prediction;
 Rlc Circuits;
 Electronics and Electrical Engineering