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<p>Loop analysis is a fundamental technique for analyzing planar and non-planar electrical circuits, but existing methods often rely on source transformations, additional constraint equations, virtual voltage sources, and predefined cases to handle dependent and non-convertible current sources, increasing computational complexity. This study proposes an optimized loop analysis method that eliminates the need for source transformations while reducing the number of unknowns and computational steps. The approach systematically classifies loops, directly integrates dependent and current sources within the equivalent circuit, and formulates loop equations solely in terms of unknown loop currents, avoiding unnecessary constraints and predefined cases to streamline the solution process. Comparative analysis with existing techniques demonstrates that the proposed method significantly reduces computational complexity, minimizes redundant steps, and enhances efficiency while maintaining accuracy. The method provides a structured, scalable, and computationally efficient alternative for circuit analysis, making it particularly suitable for automated solvers and complex circuits.</p>

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Computational Optimized Loop Analysis

  • 期刊论文

  • 发表日期：

    2026年3月28日

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  • Bhavna P. Harne,
  • R. S. Dhekekar

摘要

Loop analysis is a fundamental technique for analyzing planar and non-planar electrical circuits, but existing methods often rely on source transformations, additional constraint equations, virtual voltage sources, and predefined cases to handle dependent and non-convertible current sources, increasing computational complexity. This study proposes an optimized loop analysis method that eliminates the need for source transformations while reducing the number of unknowns and computational steps. The approach systematically classifies loops, directly integrates dependent and current sources within the equivalent circuit, and formulates loop equations solely in terms of unknown loop currents, avoiding unnecessary constraints and predefined cases to streamline the solution process. Comparative analysis with existing techniques demonstrates that the proposed method significantly reduces computational complexity, minimizes redundant steps, and enhances efficiency while maintaining accuracy. The method provides a structured, scalable, and computationally efficient alternative for circuit analysis, making it particularly suitable for automated solvers and complex circuits.