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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...
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