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<p>The optimal-charging problem of nonlinear capacitors in RC and LRC circuits with bypass resistor is investigated by utilizing finite-time thermodynamics. Under condition that both charging time and total energy stored in capacitors are given, the optimal time-paths of source-voltage and capacitor-voltage for the minimum Joule heat dissipation of circuits are determined by applying optimal-control theory. Analytical solutions for linear capacitor case are derived based on universal optimal results, and optimal strategies are also compared with linear and constant source-voltage operation charging strategies. While for the nonlinear capacitor cases, numerical solutions are obtained, and effects of various parameters on optimal results are analyzed.</p>

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Optimal charging of nonlinear capacitors in RC and LRC circuits with bypass resistor

  • 期刊论文

  • 发表日期：

    2025年4月26日

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  • Lingen Chen,
  • Shaojun Xia

摘要

The optimal-charging problem of nonlinear capacitors in RC and LRC circuits with bypass resistor is investigated by utilizing finite-time thermodynamics. Under condition that both charging time and total energy stored in capacitors are given, the optimal time-paths of source-voltage and capacitor-voltage for the minimum Joule heat dissipation of circuits are determined by applying optimal-control theory. Analytical solutions for linear capacitor case are derived based on universal optimal results, and optimal strategies are also compared with linear and constant source-voltage operation charging strategies. While for the nonlinear capacitor cases, numerical solutions are obtained, and effects of various parameters on optimal results are analyzed.