Choosing the List Method for Circuit Analysis: Overview and Comparison
This article compares the table‑matrix method and the list method for circuit analysis, explains why the list method was selected due to its simpler equation formulation despite larger matrix size, and cites references that discuss various other techniques such as loop‑current and node‑voltage methods.
Overview
Table‑Matrix Method
List Method
Association Matrix
Why Choose the List Method
The “table‑matrix method” and the “list method” share the same underlying principle, with only minor implementation differences. Reference [1] explains the principle more clearly, while Reference [2] provides a more detailed implementation, making the list method easier to apply.
The book also discusses many other methods such as loop‑current method, node‑voltage method, cut‑set voltage method, improved node method, and double‑graph method.
Compared with other methods, the list method’s disadvantages are a large matrix dimension leading to higher computational effort and lower efficiency; its advantages are simple equation formulation, straightforward calculation of all unknowns (branch voltages, node voltages, branch currents), and strong adaptability.
Since we are not performing large‑scale circuit calculations, the list method’s efficiency is sufficient and does not become a bottleneck; combined with its simple implementation and strong adaptability, we ultimately selected the list method.
References
[1] Wang Hui. Computer‑Assisted Analysis and Design Methods for Electronic Circuits. Beijing: Tsinghua University Press, pp. 12‑14.
[2] Qiu Guanyuan. Circuits. Beijing: Higher Education Press, 2006, pp. 409‑411, 391‑392.
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