Equivalent Circuit

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Shuilin Tian - One of the best experts on this subject based on the ideXlab platform.

  • Equivalent Circuit modeling of llc resonant converter
    IEEE Transactions on Power Electronics, 2020
    Co-Authors: Shuilin Tian, F C Lee
    Abstract:

    LLC resonant converter is widely used in industry. However, up to now, no simple and accurate small-signal Equivalent Circuit model is available. This article proposes an Equivalent Circuit model of LLC resonant converter. The simple Equivalent Circuit model is derived based on modification and simplification of extended describing function method, which has already been successful deriving Equivalent Circuit model in series resonant converter [15] . The model can well predict the small-signal behaviors observed in pulse-frequency-modulated LLC resonant converter, whenever switching frequency is below, close to, or above the resonant frequency. For the first time, analytical expressions for control to output voltage, input to output voltage, input impedance, and output impedance are provided to aid closed-loop feedback design. SIMPLIS simulation and experimental results are presented to prove the accuracy of the model.

  • a simplified Equivalent Circuit model of series resonant converter
    IEEE Transactions on Power Electronics, 2016
    Co-Authors: Shuilin Tian, Qiang Li
    Abstract:

    Equivalent Circuit models are useful design tools for control and have already well served their purposes in pulse width modulation dc–dc converters. However, no simple Equivalent Circuit model is available yet for resonant-type dc–dc converters. Up to now, the most successful Equivalent Circuit model of series resonant converter (SRC) is based on extended describing function concept, which was proposed by Yang et al. [30]. However, the Equivalent Circuit is a complicated fifth order with the cross-coupling effect and no analytical solution is provided for transfer functions. This paper proposes a simple third-order Equivalent Circuit model of SRC. The Equivalent Circuit model is derived by simplification of the original fifth-order Equivalent Circuit, based on the fact that the resonant capacitor behaves like an Equivalent resonant inductor with respect to the modulation frequency. The Equivalent Circuit model can predict the dynamic behavior very well when the switching frequency is below, close to, or above the resonant frequency. Furthermore, for the first time, analytical expressions of all transfer functions, i.e., control-to-output, input-to-output, output impedance, and input impedance are provided. These analytical transfer functions will serve as a useful tool for the feedback design. The Equivalent Circuit model is verified by Simplis simulation and experimental results.

  • Equivalent Circuit modeling of LLC resonant converter
    2016 IEEE Applied Power Electronics Conference and Exposition (APEC), 2016
    Co-Authors: Shuilin Tian, Qiang Li
    Abstract:

    LLC resonant converter is widely used in industry. However, up to now, no simple and accurate small-signal Equivalent Circuit model is available. This paper proposes an Equivalent Circuit model of LLC resonant converter. The simple Equivalent Circuit model is derived based on modification and simplification of extended describing function method. The model can well predicts the small-signal behaviors observed in LLC resonant converter, whenever switching frequency is below, close to or above the resonant frequency. For the first time, analytical expressions for control to output voltage, input to output voltage, input impedance and output impedance are provided to aid close loop feedback design. Simplis simulation and experimental results are presented to prove the accuracy of the model.

  • small signal Equivalent Circuit model of series resonant converter
    European Conference on Cognitive Ergonomics, 2015
    Co-Authors: Shuilin Tian, Qiang Li, Bin Li
    Abstract:

    A simple third-order Equivalent Circuit model of series resonant converter (SRC) is proposed in this paper. Up to now, the most successful Equivalent Circuit model of SRC is based on extended describing function concept, which is proposed by Dr. E. Yang [30]. However, the Equivalent Circuit is a complicated fifth-order Circuit with the cross-coupling effect and no analytical solution is provided for transfer functions. This paper proposes a methodology to simplify the fifth-order Equivalent Circuit to a third-order Equivalent Circuit. The Equivalent Circuit model can predict the dynamic behavior very well when switching frequency is below, close to or above resonant frequency. Furthermore, for the first time, analytical expressions of transfer functions are provided to serve as a useful tool for feedback design. The Equivalent Circuit model is verified by Simplis simulation and experimental results.

  • Unified Equivalent Circuit model of V 2 control
    2014 IEEE Applied Power Electronics Conference and Exposition - APEC 2014, 2014
    Co-Authors: Shuilin Tian, Fred C. Lee, Yingyi Yan
    Abstract:

    V2 control and its variety named ripple-based control, are popular control schemes in point-of-load Buck converters and Voltage Regulators for microprocessor. This control scheme is elegant when output capacitors with sufficient ESR are employed, such as OSCON capacitors. However, in most cases with small-ESR capacitors, such as ceramic capacitors, instability problem will occur. Up to now, no Equivalent Circuit model is proposed which is able to predict instability issue. This paper proposes a unified Equivalent Circuit model which is suitable to all kinds of capacitors by considering the effect of both inductor current ripple and capacitor voltage ripple. The Equivalent Circuit model is a simple yet accurate, complete model and can be used to investigate all transfer functions. The proposed Equivalent Circuit model is applicable to both variable frequency modulation and constant frequency modulation. Furthermore, the model can be extended to enhanced V2 control and muti-phase V2 converters. The Equivalent Circuit model is verified with Simplis simulation and experimental results.

Qiang Li - One of the best experts on this subject based on the ideXlab platform.

  • a simplified Equivalent Circuit model of series resonant converter
    IEEE Transactions on Power Electronics, 2016
    Co-Authors: Shuilin Tian, Qiang Li
    Abstract:

    Equivalent Circuit models are useful design tools for control and have already well served their purposes in pulse width modulation dc–dc converters. However, no simple Equivalent Circuit model is available yet for resonant-type dc–dc converters. Up to now, the most successful Equivalent Circuit model of series resonant converter (SRC) is based on extended describing function concept, which was proposed by Yang et al. [30]. However, the Equivalent Circuit is a complicated fifth order with the cross-coupling effect and no analytical solution is provided for transfer functions. This paper proposes a simple third-order Equivalent Circuit model of SRC. The Equivalent Circuit model is derived by simplification of the original fifth-order Equivalent Circuit, based on the fact that the resonant capacitor behaves like an Equivalent resonant inductor with respect to the modulation frequency. The Equivalent Circuit model can predict the dynamic behavior very well when the switching frequency is below, close to, or above the resonant frequency. Furthermore, for the first time, analytical expressions of all transfer functions, i.e., control-to-output, input-to-output, output impedance, and input impedance are provided. These analytical transfer functions will serve as a useful tool for the feedback design. The Equivalent Circuit model is verified by Simplis simulation and experimental results.

  • Equivalent Circuit modeling of LLC resonant converter
    2016 IEEE Applied Power Electronics Conference and Exposition (APEC), 2016
    Co-Authors: Shuilin Tian, Qiang Li
    Abstract:

    LLC resonant converter is widely used in industry. However, up to now, no simple and accurate small-signal Equivalent Circuit model is available. This paper proposes an Equivalent Circuit model of LLC resonant converter. The simple Equivalent Circuit model is derived based on modification and simplification of extended describing function method. The model can well predicts the small-signal behaviors observed in LLC resonant converter, whenever switching frequency is below, close to or above the resonant frequency. For the first time, analytical expressions for control to output voltage, input to output voltage, input impedance and output impedance are provided to aid close loop feedback design. Simplis simulation and experimental results are presented to prove the accuracy of the model.

  • small signal Equivalent Circuit model of series resonant converter
    European Conference on Cognitive Ergonomics, 2015
    Co-Authors: Shuilin Tian, Qiang Li, Bin Li
    Abstract:

    A simple third-order Equivalent Circuit model of series resonant converter (SRC) is proposed in this paper. Up to now, the most successful Equivalent Circuit model of SRC is based on extended describing function concept, which is proposed by Dr. E. Yang [30]. However, the Equivalent Circuit is a complicated fifth-order Circuit with the cross-coupling effect and no analytical solution is provided for transfer functions. This paper proposes a methodology to simplify the fifth-order Equivalent Circuit to a third-order Equivalent Circuit. The Equivalent Circuit model can predict the dynamic behavior very well when switching frequency is below, close to or above resonant frequency. Furthermore, for the first time, analytical expressions of transfer functions are provided to serve as a useful tool for feedback design. The Equivalent Circuit model is verified by Simplis simulation and experimental results.

Robert W. Erickson - One of the best experts on this subject based on the ideXlab platform.

  • Small signal Equivalent Circuit modeling of resonant converters
    IEEE Transactions on Power Electronics, 1991
    Co-Authors: Arthur F. Witulski, A.f. Hernandez, Robert W. Erickson
    Abstract:

    A general analytical procedure is presented for the Equivalent Circuit modeling of resonant converters, using the series and parallel resonant converters as examples. The switched tank elements of a resonant converter are modeled by a lumped parameter Equivalent Circuit. The tank element Circuit model consists, in general, of discrete energy states, but may be approximated by a low-frequency continuous time model. These Equivalent Circuit models completely characterize the terminal behavior of the converters and are solvable for any transfer function or impedance of interest. With the approximate model it is possible to predict the lumped parameter poles and zeros, and to quickly determine the relevant DC gains of the output impedance and the control to output transfer function. Closed-form solutions are given for the Equivalent Circuit models of both converter examples. Experimental verification is presented for the control-to-output transfer functions of both series and parallel resonant converters, and good agreement between theoretical prediction and experimental measurement is obtained. >

  • Small signal Equivalent Circuit modeling of resonant converters
    IEEE Transactions on Power Electronics, 1991
    Co-Authors: Arthur F. Witulski, A.f. Hernandez, Robert W. Erickson
    Abstract:

    A general analytical procedure is presented for the Equivalent Circuit modeling of resonant converters, using the series and parallel resonant converters as examples. The switched tank elements of a resonant converter are modeled by a lumped parameter Equivalent Circuit. The tank element Circuit model consists, in general, of discrete energy states, but may be approximated by a low-frequency continuous time model. These Equivalent Circuit models completely characterize the terminal behavior of the converters and are solvable for any transfer function or impedance of interest. With the approximate model it is possible to predict the lumped parameter poles and zeros, and to quickly determine the relevant DC gains of the output impedance and the control to output transfer function. Closed-form solutions are given for the Equivalent Circuit models of both converter examples. Experimental verification is presented for the control-to-output transfer functions of both series and parallel resonant converters, and good agreement between theoretical prediction and experimental measurement is obtained. >

Arthur F. Witulski - One of the best experts on this subject based on the ideXlab platform.

  • Small signal Equivalent Circuit modeling of resonant converters
    IEEE Transactions on Power Electronics, 1991
    Co-Authors: Arthur F. Witulski, A.f. Hernandez, Robert W. Erickson
    Abstract:

    A general analytical procedure is presented for the Equivalent Circuit modeling of resonant converters, using the series and parallel resonant converters as examples. The switched tank elements of a resonant converter are modeled by a lumped parameter Equivalent Circuit. The tank element Circuit model consists, in general, of discrete energy states, but may be approximated by a low-frequency continuous time model. These Equivalent Circuit models completely characterize the terminal behavior of the converters and are solvable for any transfer function or impedance of interest. With the approximate model it is possible to predict the lumped parameter poles and zeros, and to quickly determine the relevant DC gains of the output impedance and the control to output transfer function. Closed-form solutions are given for the Equivalent Circuit models of both converter examples. Experimental verification is presented for the control-to-output transfer functions of both series and parallel resonant converters, and good agreement between theoretical prediction and experimental measurement is obtained. >

  • Small signal Equivalent Circuit modeling of resonant converters
    IEEE Transactions on Power Electronics, 1991
    Co-Authors: Arthur F. Witulski, A.f. Hernandez, Robert W. Erickson
    Abstract:

    A general analytical procedure is presented for the Equivalent Circuit modeling of resonant converters, using the series and parallel resonant converters as examples. The switched tank elements of a resonant converter are modeled by a lumped parameter Equivalent Circuit. The tank element Circuit model consists, in general, of discrete energy states, but may be approximated by a low-frequency continuous time model. These Equivalent Circuit models completely characterize the terminal behavior of the converters and are solvable for any transfer function or impedance of interest. With the approximate model it is possible to predict the lumped parameter poles and zeros, and to quickly determine the relevant DC gains of the output impedance and the control to output transfer function. Closed-form solutions are given for the Equivalent Circuit models of both converter examples. Experimental verification is presented for the control-to-output transfer functions of both series and parallel resonant converters, and good agreement between theoretical prediction and experimental measurement is obtained. >

Takehiro Takano - One of the best experts on this subject based on the ideXlab platform.

  • Simplified Equivalent Circuit of an ultrasonic motor and its applications
    Ultrasonics, 1996
    Co-Authors: Manabu Aoyagi, Yoshiro Tomikawa, Takehiro Takano
    Abstract:

    The present paper deals with a simplified Equivalent Circuit of an ultrasonic motor and its application to the estimation of motor characteristics for the systematization of research on ultrasonic motors. The Equivalent Circuit must be simple in order to show the principle of motor operation, so we propose simplified Equivalent Circuits of one type of ultrasonic motor [1]. As a result, it is made clear that the Equivalent Circuit proposed is very useful for considering motor characteristics. Moreover, in this paper the improved Equivalent Circuit of an ultrasonic motor for generating a large torque with a relatively high efficiency is also proposed.