Czasopismo | ELEKTRONIKA - KONSTRUKCJE, TECHNOLOGIE, ZASTOSOWANIA | Rocznik 2013 - zeszyt 2

Switched-capacitor DC-DC converters in arbitrary switching mode - topologically derived resistive models based on incremental graph approach

Marek S. Makowski

nr katalogowy: 74677

In the preceding paper [38] we reviewed some of modeling approaches aimed at systematic formulation and solution of switched capacitor DC-DC converters. In our review, special attention was paid to computationally efficient and mathematically elegant methods. In so doing we had tried to demonstrate the virtues of unified Incremental Graph (IG) approach. Incremental Graph is, in concept, a tool originally created for analysis and synthesis of electrically degenerated energy conservative networks. We focused, in that former work, on typical conditions, i.e. two-phase converters in slow switching limit (SSL) mode only. In particular, we showed that both voltage gains and charge gains are easily determined on pure topological basis, in terms of IG. The results obtained directly led to a formula for output resistance. The approach is dedicated to SC DC-DC converters and provides a simple means for lossless and lossy model derivation. There, in prediction of further extensions and applications, we promptly communicated our research on models with dependence on duty cycle D and parasitics. In our latest note [42] and in the present article we consequently use topological matrix-based methods instead of well adopted charge and power balance approach as in [15, 20, 21, 28, 32]. Historical Notes on SC Research Switched capacitor (SC) DC-DC power converters or just charge pumps remain now in modern power electronics vein. Practical importance of them especially in integrated form needs no proof. The circuits originated in AC-DC capacitor-diode voltage multipliers like a Cockcroft-Walton invention [2]. The question concerning equivalent resistance of switched capacitor was historically due to Maxwell [1]. Modern DC-DC history started with Dickson charge pump in integrated technology [3]. A nice review of DC-DC topologies may be found in [33]. As to the theoretical foundations of dc modeling, the classical important contributions were due [...]

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