Chebyshev series integration method for transient simulation ofswitched networks
Duwang Li; Tymerski, R.; Ninomiya, T.
Industrial Electronics, IEEE Transactions on
Volume 47, Issue 2, Apr 2000 Page(s):305 - 314
Digital Object Identifier 10.1109/41.836346
Summary: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
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