Synthesis of Averaged Circuit Models for Switched Power Converters

Averaged circuit models for switching power converters are useful for purposes of analysis and obtaining engineering intuition into the operation of these switched circuits. This paper develops averaged circuit models for switching converters using an in-place averaging method. The method proceeds in a systematic fashion by determining appropriate averaged circuit elements that are consistent with the averaged circuit waveforms. The averaged circuit models that are obtained are syntheses of the state-space averaged models for the underlying switched circuits. An important feature of our method is that it is applicable to switched circuits whose non-switch elements may be nonlinear. Our approach is compared and contrasted with the results on averaged circuit models currently available in the literature. *The first author, now with the Department of Electrical Engineering and Computer Sciences at the University of California, Berkeley, has been partially supported by an IBM fellowship. The second author, with the Laboratory for Electromagnetic and Electronic Systems at MIT, has been supported by the MIT/Industry Power Electronics Collegium and by the Air Force Office of Scientific Research under Grant AFOSR-88-0032. Correspondence may be addressed to Seth Sanders, Dept. EECS, University of California, Berkeley, CA 94720, USA. Report Documentation Page Form Approved OMB No. 0704-0188 Public reporting burden for the collection of information is estimated to average 1 hour per response, including the time for reviewing instructions, searching existing data sources, gathering and maintaining the data needed, and completing and reviewing the collection of information. Send comments regarding this burden estimate or any other aspect of this collection of information, including suggestions for reducing this burden, to Washington Headquarters Services, Directorate for Information Operations and Reports, 1215 Jefferson Davis Highway, Suite 1204, Arlington VA 22202-4302. Respondents should be aware that notwithstanding any other provision of law, no person shall be subject to a penalty for failing to comply with a collection of information if it does not display a currently valid OMB control number. 1. REPORT DATE NOV 1989 2. REPORT TYPE 3. DATES COVERED 00-11-1989 to 00-11-1989 4. TITLE AND SUBTITLE Synthesis of Averaged Circuit Models for Switched Power Converters 5a. CONTRACT NUMBER