Zhong-Xin Li, Guang-Fan Li, Jian-Bin Fan, and Cui-Xia Zhang
Analytical mutual impedance formula, boundary element method,quasi-static complex image method, horizontal multilayered earthmodel
To study the accuracy of numerical simulations for an AC substation grounding problem embedded in a horizontal multilayered earth, this paper proposes a novel algorithm combining the rapidly convergent 1-D Galerkin boundary element method with higher-order basis functions. General analytical formulas for the mutual impedance between any pair of short line conductors are derived to accelerate the numerical integration. These formulas work in complex space due to our application of the quasi-static complex image method. The algorithm can be used to simulate and analyze any grounding system, including those incorporating a floating grid located anywhere in the horizontal multilayered earth.
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