Chebyshev series integration method for transient simulation ofswitched networks

An efficient integration routine based on the Chebyshev series expansion is given. Adoption of a Chebyshev expansion minimizes the order of the polynomial approximation which together with a number of basic properties of the expansion results in an efficient integration method. Furthermore, integration error control may conveniently be approached by monitoring the coefficients of the expansion. The proposed error control scheme varies the expansion order while keeping the step size fixed. A software program for the simulation of networks with ideal switches was written which incorporates the above features. Two examples, one of a nonswitched network and the other of a switched network, are given to illustrate the speed and accuracy of the program and effectiveness of the error control scheme. To quantify the advantages of the proposed scheme, a comparison is made with a previously developed simulator (viz., LAPS) and also a commercially available SPICE program.