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This paper proposes a transient modeling and analysis method for the fractional-order DC-DC converters in continuous conduction mode (CCM), in which a fractional-order Buck converter is taken as an example. By extending the usage of equivalent small parameter method (ESP), the converter is modeled by a general state vector differential equation. Then by adopting the principle of harmonic balance,...
Inverters are widely applied in industrial fields. To acquire the analytical solution of sinusoidal pulse width modulation (SPWM) Single-phase inverters, a traditional harmonic balance based method is extended, in which the double Fourier transform is used to describe the nonlinear switching function of the converter. Thus the steady-state periodic solution of the inverter can be obtained by our approach...
The concept and technologies of fractional calculus have been increasingly applied to model and design circuits and electrical elements. In this work, by combining the principle of harmonic balance and equivalent small parameter method, we develop a new method of steady-state analysis for fractional-order DC-DC converters in discontinuous conduction mode (DCM). The effectiveness of the proposed scheme...
This paper proposes a modeling and analysis method for fractional-order dc–dc converters operating in continuous conduction mode (CCM). As an example, a fractional-order boost converter is studied in detail. Instead of using fractional calculus, the method presented here uses a general state vector differential equation to describe the converter. By combining the principle of harmonic balance and...
A new method of steady-state analysis for non-integer order DC/DC converters operating in continuous-conduction-mode (CCM) is put forward. First, the periodic and time-variant non-integer order DC/DC converter system is modeled by a nonlinear vector differential equation. Then by combining the principle of harmonic balance and equivalent small parameter method, the vector differential equation is...
This paper presents the principle and implementation of the wavelet PWM (WPWM) technique based on dyadic-type multi-resolution analyses (MRAs) for single-phase inverters, analyzes and gives the inverter's output features at different parameters based on WPWM technique, which is beneficial to choose suitable parameters. Finally, according to the harmonic eliminating principle, compares WPWM with SPWM...
The transformerless photovoltaic (TPV) inverters can cause serious common-mode electromagnetic interference (EMI) due to the parasitic capacitors between the solar arrays and ground. In this paper, chaotic SPWM is firstly proposed to suppress the common-mode EMI in TPV inverters. The EMI suppression mechanism of chaotic SPWM is introduced, and chaotic SPWM is further applied into a single-phase TPV...
This paper presents the principle and implementation of the wavelet PWM (WPWM) technique based on non-dyadic type multi-resolution analyses (MRAs) for three-phase inverters, analyses and gives the impacts of the initial values of scales by WPWM on the three-phase full-bridge and half- bridge inverter's output features, which is beneficial to choose suitable initial values of scales. Finally, the performances...
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