سنتز مبدل های غیر منفرد DC-DC با استفاده از اصل تعادل شار
Abstract
I- Introduction
II- Fundamental Assumptions
III- Inductor Voltage Equation
IV- First-Order Converters
V- Second-Order Converters
References
Abstract
The paper describes a theory to synthesize nonisolated DC-DC converters. It uses the fundamental flux balance equation across the inductors of a converter as a starting point in this synthesis process. The flux balance equations are the linear equations of the input voltage, capacitor voltages and duty cycle (D). The coefficients of these linear equations can be selected from a finite set of choices. These choices define the converter topologies which are subsequently used to synthesize a converter. The synthesis procedure applies to a converter of multiple order. All the possible converters are identified for a first order topology. In the case of second-order converters, all the choices of the flux balance equation are defined. Based on these choices three new quadratic topologies are derived and verified to demonstrate the effectiveness of the theory. The procedure to synthesize a converter from a given voltage conversion ratio is also outlined.
INTRODUCTION
Non-isolated DC-DC converters are the basic building blocks for power processing in renewable applications, data centers, and various consumer electronics devices, etc. Buck, Boost, and Buck-boost topologies are the three major topologies which are manipulated to obtain other non-isolated topologies [1-17]. With increasing novel areas of application, there is a need to look for DC-DC converters with a given voltage conversion characteristic. For example, quadratic buck (Q buck) converter provides a very low output to input conversion ratio at a relatively higher duty-cycle [12-13], which makes it suitable for bias voltage derivation when input DC is very high. Mostly, converter topologies are invented intuitively or by combining the existing basic topologies of buck, boost, and buck-boost converter. However, a systematic procedure to synthesize a converter topology from the required voltage conversion ratio is scarce. This paper presents a thorough review of the prior attempts to generalize DC-DC converter synthesis process and subsequently proposes a method to synthesize the exhaustive set of DC-DC converters of a given order. While many DC-DC converters have been invented over the past few decades, there has been a constant drive among the researchers to find a unifying link among the different DC-DC converter topologies and find a generalized converter synthesis theory. Many such approaches such as graph-theoretic approach with duality principle [1], [2], converter switching cell theory [3], [4], [5], [6], analytical synthesis theory [7], [8], and converter synthesis with layer and graft schemes [9-11], etc., are presented in the literature. The graph-theoretic approach was used in [1] to establish a relation between basic Pulse Width Modulated (PWM) converters [1-7, 18-22].