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New control strategy for interleaved PFC rectifiers using Lyapunov function

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Abstract

The conventional current and voltage control methods of AC/DC power factor correction (PFC) rectifiers have been applied using proportional-integral (PI) or proportional-resonant controls. However, these approaches do not guarantee global stability at various operating points and are sensitive to disturbances, such as parameter or load variations. In this paper, a new control method is proposed based on the Lyapunov function that provides global stability and a fast response at various operating points. Experiments are conducted using an air conditioner with a 3 kW capacity. Experimental results are obtained and thoroughly analyzed.

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Abbreviations

\(v_{in}\) :

Input voltage

\(i_{in} ,i_{in1} ,i_{in2}\) :

Input currents

\(i_{in}^{*} ,i_{in1}^{*} ,i_{in2}^{*}\) :

Target value of input currents

\(I_{m}\) :

Peak value of input currents

\(I_{m}^{*}\) :

Target peak value of input currents

\(V_{m}\) :

Peak value of input voltage

\(v_{{{\text{out}}}}\) :

Output voltage

\(v_{{{\text{out}}}} (t - T)\) :

Output voltage of the last cycle

\(T\) :

Pulsating period of output voltage

\(V_{{{\text{out}}}}^{*}\) :

Target value of output voltage

\(v_{{{\text{out}}\_{\text{avg}}}}\) :

Average value of output voltage

\(i_{{{\text{out}}\_{\text{avg}}}}\) :

Average value of output currents

\(\omega\) :

Angular velocity of grid voltage

\(\alpha\) :

Integral gain of voltage controller

\(L_{m}\) :

Inductance of filter inductor

\(C_{{{\text{out}}}}\) :

Capacitance of filter capacitor

\(p_{{{\text{in}}}}\) :

Input power

\(p_{{{\text{out}}}}\) :

Output power

\(p_{{{\text{out}}\_{\text{avg}}}}\) :

Average value of output power

\(p_{{{\text{charge}}}}\) :

Charging power for output capacitor

\(p_{{{\text{charge}}\_{\text{avg}}}}\) :

Average of charging power

\(k_{vp}\) :

Proportional gain of voltage controller

\(k_{vi}\) :

Integral gain of voltage controller

\(k_{ip}\) :

Proportional gain of current controller

\(k_{ii}\) :

Integral gain of current controller

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Authors and Affiliations

  1. Home Appliance & Air Solution (H&A) Control Research Lab., LG Electronics, Changwon, Korea

    Ill-Uk Kim & Byung-Kwan Bae

  2. Department of Electrical Engineering, School of Electronic and Electrical Engineering, Kyungpook National University, Daegu, Korea

    Jong-Woo Choi

Authors
  1. Ill-Uk Kim
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  2. Byung-Kwan Bae
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  3. Jong-Woo Choi
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Correspondence to Jong-Woo Choi.

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Kim, IU., Bae, BK. & Choi, JW. New control strategy for interleaved PFC rectifiers using Lyapunov function. J. Power Electron. 21, 464–474 (2021). https://doi.org/10.1007/s43236-020-00202-8

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  • DOI: https://doi.org/10.1007/s43236-020-00202-8

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