Efficient simulation of switched networks using reduced unificationmatrix

摘要

A new and simple formulation method for switched networks in thennumerical time domain is presented. Unification models of switchingndevices, companion models of energy-storage elements, and severalnstraightforward circuit-manipulated operations are used in obtaining anreduced unification matrix (RUM). The feature of the constant formulatednRUM is clarified, and the selection of the main parameters ofnunification models is illustrated. A condition of reducibility isnproposed to determine how small the dimensions of a modified nodalnmatrix (MNM) can be reduced to. Simulation results using the RUM methodndemonstrate its superiority over the commonly used MMM method, not onlynfor memory requirements, but also for computational speed. A largencircuit example shows that the RUM method offers a 76.32% time savingsnin computation. Additionally, the RUM method possesses the merits ofneasy formulation, easy programming and more realistic switch modeling,nas well as greater accuracy and higher time efficiency when comparednwith commonly used state-space approaches. These combined advantagesnshould make the proposed RUM method very attractive in the time-domainnsimulation of switched networks. For large switched networks, thendecided advantages are very great