Realizability conditions and bounds on synthesis of switched-capacitor DC-DC voltage multiplier circuits

A formal study of the theoretical performance of switched-capacitor (SC) dc-dc voltage multiplier circuits is given. A question concerning the necessary number of circuit elements to realize a given conversion ratio is addressed. In response to the question the bound on attainable voltage ratio for a given number of capacitors k and the bound on the number of switches required in any circuit configuration have been established. The maximum step-up or step-down ratio is given by the kth Fibonacci number, while the bound on the number of switches required in any SC circuit is 3k-2. The complete set of attainable DC conversion ratios is found. A canonical circuit realization of the maximum voltage ratio is discussed and illustrative examples are included. Necessary and sufficient conditions for the realizability of a dc conversion ratio are determined and formal proofs are given.

[1]  Sundaram Seshu,et al.  Linear Graphs and Electrical Networks , 1961 .

[2]  Louis Weinberg,et al.  Network Analysis and Synthesis , 1962 .

[3]  J. S. Brugler,et al.  Theoretical performance of voltage multiplier circuits , 1971 .

[4]  Narsingh Deo,et al.  Graph Theory with Applications to Engineering and Computer Science , 1975, Networks.

[5]  Leon O. Chua,et al.  Topological generation and analysis of voltage multiplier circuits , 1977 .

[6]  W. K. Chen,et al.  Applied Graph Theory: Graphs and Electrical Networks , 1978, IEEE Transactions on Systems, Man, and Cybernetics.

[7]  Fred S. Roberts,et al.  Applied Combinatorics , 1984 .

[8]  K. Kuwabara,et al.  Switched-capacitor DC-DC converters , 1988, 10th International Telecommunications Energy Conference.

[9]  S. Cuk,et al.  General properties and synthesis of PWM DC-to-DC converters , 1989, 20th Annual IEEE Power Electronics Specialists Conference.

[10]  Kwa-Sur Tam,et al.  Automated topological generation and analysis of voltage multiplier circuits , 1990 .

[11]  L. Malesani,et al.  Theoretical performance of the capacitor-diode voltage multiplier fed by a current source , 1990, 21st Annual IEEE Conference on Power Electronics Specialists.

[12]  F. Ueno,et al.  A new approach to low ripple-noise switching converters on the basis of switched-capacitor converters , 1991, 1991., IEEE International Sympoisum on Circuits and Systems.

[13]  Takahiro Inoue,et al.  Characteristics Analysis of Fibonacci Type SC Transformer , 1991 .

[14]  Fumio Ueno,et al.  Emergency power supply for small computer systems , 1991, 1991., IEEE International Sympoisum on Circuits and Systems.

[15]  Fumio Ueno,et al.  Realization of a switched-capacitor AC-DC converter using a new phase controller , 1991, 1991., IEEE International Sympoisum on Circuits and Systems.

[16]  Fumio Ueno,et al.  Power supply for electroluminescence aiming integrated circuit , 1992, [Proceedings] 1992 IEEE International Symposium on Circuits and Systems.

[17]  Khai D. T. Ngo,et al.  Steady-state analysis and design of a switched-capacitor DC-DC converter , 1992, PESC '92 Record. 23rd Annual IEEE Power Electronics Specialists Conference.

[18]  M. S. Makowski.  On topological assumptions on PWM converters-A reexamination , 1993, Proceedings of IEEE Power Electronics Specialist Conference - PESC '93.

[19]  Khai D. T. Ngo,et al.  Operation and design of a switched-capacitor DC-DC converter with improved power rating , 1994, Proceedings of 1994 IEEE Applied Power Electronics Conference and Exposition - ASPEC'94.

[20]  Adrian Ioinovici,et al.  Inductorless DC-to-DC converter with high power density , 1994, IEEE Trans. Ind. Electron..

[21]  M. S. Makowski,et al.  Performance limits of switched-capacitor DC-DC converters , 1995, Proceedings of PESC '95 - Power Electronics Specialist Conference.

[22]  Slobodan Cuk,et al.  A three-switch high-voltage converter , 1995, Proceedings of 1995 IEEE Applied Power Electronics Conference and Exposition - APEC'95.