Spectral modeling of switched-mode power converters

A new modeling approach for the spectral analysis of pulsewidth modulated (PWM) converters with independent inputs is developed. The key of this approach is to extend the Volterra functional series to nonlinear systems with multiple independent inputs. After formulating the state-space equations describing the dynamical behavior of PWM converters, the Volterra transfer function characterizing the output frequency response can be obtained, which is then symmetrised to form the spectral model. Since the model is developed in a closed form, it is suitable for computer analysis. The modeling approach has been applied to various PWM converters, and the results are verified. The spectral models of different power converters can readily be obtained by using this general approach. >

[1]  F. Fallside,et al.  Exact and Volterra analysis of synchronous machine stability , 1970 .

[2]  J. J. Bussgang,et al.  Analysis of nonlinear systems with multiple inputs , 1974 .

[3]  R. Tymerski,et al.  Volterra series modelling of power conversion systems , 1990, 21st Annual IEEE Conference on Power Electronics Specialists.

[4]  E. Lipson,et al.  White noise analysis of Phycomyces light growth response system. II. Extended intensity ranges. , 1975, Biophysical journal.

[5]  Slobodan Cuk,et al.  A general unified approach to modelling switching-converter power stages , 1976, 1970 IEEE Power Electronics Specialists Conference.

[6]  Kwok-Tong Chau,et al.  A fast and exact time-domain simulation of switched-mode power regulators , 1992, IEEE Trans. Ind. Electron..

[7]  Stephen A. Billings,et al.  Identi cation of nonlinear systems-A survey , 1980 .

[8]  M. Schwartz,et al.  Binary Signaling over Channels Containing Quadratic Nonlinearities , 1974, IEEE Trans. Commun..

[9]  A. Witulski,et al.  Extension of state-space averaging to resonant switches and beyond , 1989 .

[10]  E. Lipson.  White noise analysis of Phycomyces light growth response system. I. Normal intensity range. , 1975, Biophysical journal.

[11]  W. Baumann,et al.  Nonlinear modelling of the PWM switch , 1988, PESC '88 Record., 19th Annual IEEE Power Electronics Specialists Conference.

[12]  T. Sarkar,et al.  Scattering analysis of nonlinearly loaded antennas , 1975 .

[13]  A. Ioinovici,et al.  Computer-aided modeling of quasi-resonant converters in the presence of parasitic losses by using the MISSCO concept , 1991 .

[14]  W. C. Meecham,et al.  The Wiener-Hermite expansion applied to decaying isotropic turbulence using a renormalized time-dependent base , 1978, Journal of Fluid Mechanics.

[15]  Muhammad H. Rashid.  SPICE for Circuits and Electronics Using PSPICE , 1990 .

[16]  S. Narayanan.  Application of Volterra series to intermodulation distortion analysis of transistor feedback amplifiers , 1970 .

[17]  L. Chua,et al.  Frequency domain analysis of nonlinear systems: general theory , 1979 .

[18]  J. Barrett.  The Use of Functionals in the Analysis of Non-linear Physical Systems† , 1963 .

[19]  M. Schetzen.  The Volterra and Wiener Theories of Nonlinear Systems , 1980 .