Abstract
This paper presents a generalized state space average model (GSSAM) for multi-phase interleaved buck, boost and buck-boost converters. The GSSAM can model the switching behavior of the current and voltage waveforms, unlike the conventional average model which can model only the average value. The GSSAM is used for the converters with dominant oscillatory behavior such as resonant converters, high current ripple converters, and multi-converter systems. The maximum current and voltage through the system can be predicted by modeling the switching behavior of voltage and current. The GSSAM in the literature is introduced for single-phase converters only, and it is not introduced for multi-phase converters due to the high complexity associated with it. Hence, the GSSAM for multi-phase buck, boost and buck-boost converters are introduced in this paper and the proposed models can fit with converters of any number of phases. The number of operating phases in the multi-phase interleaved converters is proportional with the output power to achieve the maximum efficiency over the operating range. Therefore, the proposed GSSAMs can describe the operation at any number of operating phases with switching dynamics of phases. The proposed GSSAM is validated by comparing the transient and steady-state dynamics between the GSSAM and a switching model from PLECS.
Highlights
DC-DC converters are widely used in power system applications, aircraft power system, More Electric Aircraft (MEA), hybrid and electric vehicles [1]–[4]
Simulation results show that the error between the proposed generalized state space average model (GSSAM) and the switching model depends on duty cycle and converter topology
2) CONVERTER COMPLEXITY It can be concluded from Fig. 4 that the buck converter has the minimum error when duty cycle is equal to 0.75 compared to the boost and the buck-boost converters at the same duty cycle in Fig. 5 and Fig. 6. This is due to topology complexity, since in buck converter the controlled signal u(t) is multiplied by the input signal Vin, while in the case of boost and buck-boost converters, the controlled signal is multiplied by the state variables which are approximated in the GSSAM by considering the zero and first order harmonics only
Summary
DC-DC converters are widely used in power system applications, aircraft power system, More Electric Aircraft (MEA), hybrid and electric vehicles [1]–[4]. This is referred by the generalized state space average model (GSSAM) which is created to describe the converter state variables by Fourier series including the zero and the first order harmonics approximation.
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