Title :
On linear dynamic complementary systems
Author :
Leenaerts, Domine M W
Author_Institution :
Dept. of Electr. Eng., Eindhoven Univ. of Technol., Netherlands
fDate :
8/1/1999 12:00:00 AM
Abstract :
A new method is proposed to solve dynamic linear complementary systems. To this class of systems belong all electrical piecewise linear (PL) dynamic networks. The method uses numerical integration methods to transform the original problem into a static standard linear complementary problem (LCP) that needs to be solved for each time step period. The method deals efficiently with inconsistent initial conditions and finds implicitly which mode changes and how the system equations are influenced by this change
Keywords :
integration; nonlinear network analysis; numerical analysis; piecewise linear techniques; electrical piecewise linear dynamic networks; inconsistent initial conditions; linear dynamic complementary systems; numerical integration methods; static standard linear complementary problem; system equations; Circuit analysis; Diodes; Impedance; Nonlinear dynamical systems; Nonlinear equations; Piecewise linear approximation; Piecewise linear techniques; Resistors; Switches; Transforms;
Journal_Title :
Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on