Application of Corrected Clarke’s Transformation to the Solution of the Modal Analysis of Un-Transposed Transmission Lines

Qing Chao Zhang; Peng Jia; Xin Hua Jia; Chao Wei

doi:10.4028/www.scientific.net/AMR.694-697.803

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HomeAdvanced Materials ResearchAdvanced Materials Research Vols. 694-697Application of Corrected Clarke’s Transformation...

Application of Corrected Clarke’s Transformation to the Solution of the Modal Analysis of Un-Transposed Transmission Lines

Abstract:

Clark’s transformation can be used to conduct a modal analysis of perfectly balanced three-phase lines. For un-transposed transmission lines, the parameter matrices of line such as impedance matrix and admittance matrix are no longer symmetrical matrices, so Clark’s transformation can’t be used directly in modal analysis. Nevertheless, it still plays an important role in determining the exact phase-mode transformation matrix. This paper showed how this can be done by a series of matrix transformation starting with Clark’s transformation and then used the corrected Clark’s transformation in modal analysis.