Discrete-Time Multi-Resolution Modeling of Switching Power Converters Using Wavelets

Modeling of power electronics circuits presents significant challenges due to the non-linear time-varying behaviour of this kind of system. It is common practice to operate with families of models of different complexity depending on the analysis goal. In this paper we propose a wavelet-based approach as a unifying framework able to provide multi-resolution capabilities and consequently significant flexibility to the modeling process. The comparison with more classical approaches to power converter modeling demonstrates how this approach can be considered an extension of formalizations such as state-space averaging. Simulation results for both DC-DC and DC-AC power converters, including soft-switching configurations, are presented as sample applications. The discrete-time formulation makes this approach particularly suitable for design and analysis of converters operated with digital controllers.

[1]  P. Viarouge,et al.  A new approach to simplify the steady-state computation problem of a power converter , 1999, 30th Annual IEEE Power Electronics Specialists Conference. Record. (Cat. No.99CH36321).

[2]  Antonello Monti,et al.  Extending Haar domain analysis to DC/AC converters , 2002, 2002 IEEE 33rd Annual IEEE Power Electronics Specialists Conference. Proceedings (Cat. No.02CH37289).

[3]  D. Maksimovic,et al.  Automated steady-state analysis of switching power converters using a general-purpose simulation tool , 1997, PESC97. Record 28th Annual IEEE Power Electronics Specialists Conference. Formerly Power Conditioning Specialists Conference 1970-71. Power Processing and Electronic Specialists Conference 1972.

[4]  Jelena Kovacevic,et al.  Wavelets and Subband Coding , 2013, Prentice Hall Signal Processing Series.

[5]  George C. Verghese,et al.  SSR analysis with dynamic phasor model of thyristor-controlled series capacitor , 1999 .

[6]  Alessandro Gandelli,et al.  Wavelet-based approach to network analysis: An introduction , 2007 .

[7]  Siu-Chung Wong,et al.  A wavelet-based piecewise approach for steady-state analysis of power electronics circuits: Research Articles , 2006 .

[8]  S. Sanders,et al.  Dynamic Phasors in Modeling and Analysis of Unbalanced Polyphase Ac Machines , 2002, IEEE Power Engineering Review.

[9]  Adly A. Girgis,et al.  Power system transient and harmonic studies using wavelet transform , 1999 .

[10]  M. Riva,et al.  Automatic switching-network analysis using wavelet-based tools , 1997, Proceedings of 40th Midwest Symposium on Circuits and Systems. Dedicated to the Memory of Professor Mac Van Valkenburg.

[11]  Antonello Monti,et al.  Diagnostic of a Faulty Induction Motor Drive via Wavelet Decomposition , 2007, IEEE Transactions on Instrumentation and Measurement.

[12]  M. El-Hawary,et al.  Reformulating Three-Phase Power Components Definitions Contained in the IEEE Standard 1459–2000 Using Discrete Wavelet Transform , 2007, IEEE Transactions on Power Delivery.

[13]  Tore Undeland,et al.  Power Electronics: Converters, Applications and Design , 1989 .

[14]  Alessandro Gandelli,et al.  Advanced mathematical tools to study electrical networks properties , 1997, Proceedings of 40th Midwest Symposium on Circuits and Systems. Dedicated to the Memory of Professor Mac Van Valkenburg.

[15]  C. K. Michael Tse,et al.  An improved wavelet approach for finding steady-state waveforms of power electronics circuits using discrete convolution , 2005, IEEE Transactions on Circuits and Systems II: Express Briefs.

[16]  Jerry L. Hudgins,et al.  Circuit simulator models for the diode and IGBT with full temperature dependent features , 2001, 2001 IEEE 32nd Annual Power Electronics Specialists Conference (IEEE Cat. No.01CH37230).

[17]  D.A. Fernandes,et al.  A Differentiation Matrix for Simulating the Steady-state Response of Power Converters , 2005, 2005 IEEE 36th Power Electronics Specialists Conference.

[18]  George C. Verghese,et al.  Sampled-data modeling and digital control of resonant converters , 1988 .

[19]  Antonello Monti,et al.  Rapid prototyping of digital controls for power electronics , 2003 .

[20]  E. Wernekinck,et al.  On the analysis of power electronics circuits waveforms with wavelets , 1993, Conference Record of the Power Conversion Conference - Yokohama 1993.

[21]  C. K. Michael Tse,et al.  Wavelet-based piecewise approximation of steady-state waveforms for power electronics circuits [power converter examples] , 2005, 2005 IEEE International Symposium on Circuits and Systems.

[22]  Oleg Wasynczuk,et al.  Automated state model generation algorithm for power circuits and systems , 1996 .

[23]  Piero Maranesi.  Small-Signal Circuit Modeling in the Domain by Computer-Aided Time-Domain , 1992 .

[24]  M. Riva,et al.  Automatic modeling of PWM DC-DC converters , 2003, IEEE Power Electronics Letters.

[25]  A. Gandelli,et al.  Dynamic analysis of electromechanical converters by means of the wavelet transform , 1999, Proceedings of the IEEE 1999 International Conference on Power Electronics and Drive Systems. PEDS'99 (Cat. No.99TH8475).

[26]  George C. Verghese,et al.  Principles of Power Electronics , 2023 .

[27]  Aleksandar M. Stankovic,et al.  Modeling and analysis of single-phase induction machines with dynamic phasors , 1999 .

[28]  P. Mattavelli,et al.  Modeling and analysis of FACTS devices with dynamic phasors , 2000, 2000 IEEE Power Engineering Society Winter Meeting. Conference Proceedings (Cat. No.00CH37077).

[29]  E. Santi,et al.  Simulation and Optimization of Diode and Insulated Gate Bipolar Transistor Interaction in a Chopper Cell Using MATLAB and Simulink , 2007, IEEE Transactions on Industry Applications.

[30]  Xuan Zeng,et al.  A wavelet-balance approach for steady-state analysis of nonlinear circuits , 2002 .

[31]  Marco Raugi,et al.  A general tool for circuit analysis based on wavelet transform , 2000 .

[32]  Henry Shu-Hung Chung,et al.  Steady-state analysis of PWM DC/DC switching regulators using iterative cycle time-domain simulation , 1998, IEEE Trans. Ind. Electron..

[33]  S. Santoso,et al.  Power quality assessment via wavelet transform analysis , 1996 .

[34]  C. K. Michael Tse,et al.  A wavelet‐based piecewise approach for steady‐state analysis of power electronics circuits , 2006, Int. J. Circuit Theory Appl..

[35]  Aleksandar M. Stankovic,et al.  Modeling of UPFC Operation under Unbalanced Conditions with Dynamic Phasors , 2002, IEEE Power Engineering Review.

[36]  A. Monti,et al.  Time evolution of Haar spectra for periodic switching circuits , 2000, 2000 IEEE 31st Annual Power Electronics Specialists Conference. Conference Proceedings (Cat. No.00CH37018).

[37]  Mehrdad Ehsani,et al.  Analysis of power electronic converters using the generalized state-space averaging approach , 1997 .

[38]  Robert W. Erickson,et al.  Canonical modeling of power processing circuits based on the POPI concept , 1992 .

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

[40]  N.C.F. Tse.  Practical application of wavelet to power quality analysis , 2006, 2006 IEEE Power Engineering Society General Meeting.

[41]  Antonello Monti,et al.  A multilanguage environment for interactive simulation and development controls for power electronics , 2001, 2001 IEEE 32nd Annual Power Electronics Specialists Conference (IEEE Cat. No.01CH37230).

[42]  J. M. Noworolski,et al.  Generalized averaging method for power conversion circuits , 1990, 21st Annual IEEE Conference on Power Electronics Specialists.

[43]  Antonello Monti,et al.  Power converter control design based on Haar analysis , 2001, 2001 IEEE 32nd Annual Power Electronics Specialists Conference (IEEE Cat. No.01CH37230).