SUMMARYThe paper presents an intelligent technique for high impedance fault (HIF) detection using combined extended kalman filter (EKF) and support vector machine (SVM). The proposed approach uses magnitude and phase change of fundamental, 3rd, 5th, 7th, 11th and 13th harmonic component as feature inputs to the SVM. The Gaussian kernel based SVM is trained with input sets each consists of '12' features with corresponding target vector '1' for HIF detection and 'À1' for non-HIF condition. The magnitude and phase change are estimated using EKF. The proposed approach is trained with 300 data sets and tested for 200 data sets including wide variations in operating conditions and provides excellent results in noisy environment. Thus, the proposed method is found to be fast, accurate, and robust for HIF detection in distribution feeders.
A technique is developed to study random vibration of nonlinear systems. The method is based on the assumption that the joint probability density function of the response variables and input variables is Gaussian. It is shown that this method is more general than the statistical linearization technique in that it can handle non-Gaussian excitations and amplitude-limited responses. As an example a bilinear hysteretic system under white noise excitation is analyzed. The prediction of various response statistics by this technique is in good agreement with other available results.
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