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Bilinear discrete-time modeling for enhanced stability prediction and digital control design

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3 Author(s)
V. Rajasekaran ; Sch. of Electr. & Comput. Eng., Georgia Inst. of Technol., Atlanta, GA, USA ; Jian Sun ; B. S. Heck

This paper presents a new bilinear discrete-time modeling method for switching power converter circuits. The method utilizes a new approximation of the matrix exponential involved in the exact discrete-time models. Compared to the conventional bilinear discrete-time models or to the continuous-time averaged models, the new bilinear models provide a means for more reliable and accurate stability and transient response prediction. They also lend themselves better to digital control design than do the exact discrete-time models due to their simplicity. The modeling method is validated by several example converters, for which traditional averaged models and conventional bilinear discrete-time models fail to predict the stability characteristics correctly.

Published in:

IEEE Transactions on Power Electronics  (Volume:18 ,  Issue: 1 )