A semi-definite relaxation approach for partial discharge source location in transformers


Current issues on localization algorithms based mostly on the time distinction of arrival (TDOA) for the partial discharge (PD) supply embody its sensitivity to time delay error, straightforward local convergence or divergence, and the massive amount of computational load and time. A semi-definite relaxation technique for PD source location to resolve the time delay positioning equations is proposed during this paper, that using the semi-definite programming downside has the characteristic that may guarantee obtained the world optimal resolution. The proposed methodology converts nonlinear time delay equations into identical semi-definite programming (SDP) problem by equivalent transformation and rank-1 relaxation firstly. Then use the inside purpose algorithm to resolve the SDP problem that to obtain a distinctive global optimum solution, and extract a rank-one element from the worldwide optimal solution of relaxed SDP. Finally, to serve as a sensible approximate of the original drawback for the PD location. The strategy was used to localize a measured PD source signal in the laboratory, and the results were compared with those of positioning by the Newton-iterative method. The comparison showed that the tactic will cut back sensitivity for the time delay error also effectively solve TDOA location equations, thereby making certain that the result is a distinctive global optimal resolution with high positioning efficiency. The localization algorithm problem is solved with the unavoidable and troublesome-to-locate time delay error.

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