1990
DOI: 10.1109/63.53157
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Phasor transformation and its application to the DC/AC analyses of frequency phase-controlled series resonant converters (SRC)

Abstract: A new modeling technique based on phasor transformation that provides the unified model of series resonant converters (SRC) is proposed. The proposed approach gives explicit and simple equations with fruitful physical insight. In the case that the switching frequency deviates from the resonant frequency, the SRC is modeled as the first order, and in the case of resonance the SRC is modeled as the second order. It is shown that the frequency band in which the SRC is modeled as the second order is very narrow' i… Show more

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Cited by 188 publications
(73 citation statements)
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“…An optimum CMRS can be designed based on the analytical results, as verified by experiments. A dynamic analysis of the CMRS using phasor transformations [15]- [17] is left for future work, which will complete the analyses of the CMRS. …”
Section: Discussionmentioning
confidence: 99%
See 1 more Smart Citation
“…An optimum CMRS can be designed based on the analytical results, as verified by experiments. A dynamic analysis of the CMRS using phasor transformations [15]- [17] is left for future work, which will complete the analyses of the CMRS. …”
Section: Discussionmentioning
confidence: 99%
“…When all of the internal resistances are identical and the circuit parameters are symmetric as given in (14), (12) is drastically simplified to (15).…”
Section: B Further Simplification Of a Symmetric Circuitmentioning
confidence: 99%
“…The formulation is based upon the principle that a generic form of sine waveform (voltages or currents in this case) can be approximated by a sinusoid whose frequency and amplitude vary with time [8], [9] (6) where is the complex envelope of and is the switching frequency. Considering the differential equation governing the behavior of an ideal inductor (7) and substituting (6) into (7) for both current and voltage gives the generic expression (8) Simplifying gives (9) In a similar manner, capacitors and resistors are described by (10a) (10b) More generally, therefore, a signal envelope can be expanded into its constituent real and imaginary components, denoted by " " and " " subscripts, respectively (11) For the inductor, substituting (11) into (9) and separating the real and imaginary terms gives (12a) (12b) and similarly for the capacitor and resistor…”
Section: Phasor-transform Modelmentioning
confidence: 99%
“…Instead, by means of the Fourier coefficients, it describes the "slow" variation of the amplitude of the state variables. This method is similar to the time-varying phasor analysis presented in (Rim & Cho, 1990), which introduces a modified phasor ( ) Xt , defined by:…”
Section: Converter Modelling By Averaging Techniquesmentioning
confidence: 99%