Comparison of Multiclass SVM Classification Methods to Use in a Supportive System for Distance Relay Coordination

This paper aims at evaluating the methods of multiclass support vector machines(SVMs) for effective use in distance relay coordination. Also, it describes a strategy of supportive systems to aid the conventional protection philosophy in combating situations where protection systems have maloperated and/or information is missing and provide selective and secure coordinations. SVMs have considerable potential as zone classifiers of distance relay coordination. This typically requires a multiclass SVM classifier to effectively analyze/build the underlying concept between reach of different zones and the apparent impedance trajectory during fault. Several methods have been proposed for multiclass classification where typically several binary SVM classifiers are combined together. Some authors have extended binary SVM classification to one-step single optimization operation considering all classes at once. In this paper, one-step multiclass classification, one-against-all, and one-against-one multiclass methods are compared for their performance with respect to accuracy, number of iterations, number of support vectors, training, and testing time. The performance analysis of these three methods is presented on three data sets belonging to training and testing patterns of three supportive systems for a region and part of a network, which is an equivalent 526-bus system of the practical Indian Western grid.

[1]  D. Thukaram,et al.  Application of support vector machines for fault diagnosis in power transmission system , 2008 .

[2]  S. Osowski,et al.  Accurate fault location in the power transmission line using support vector machine approach , 2004, IEEE Transactions on Power Systems.

[3]  Ulrich H.-G. Kreßel,et al.  Pairwise classification and support vector machines , 1999 .

[4]  S. Gunn Support Vector Machines for Classification and Regression , 1998 .

[5]  Chih-Jen Lin,et al.  Asymptotic Behaviors of Support Vector Machines with Gaussian Kernel , 2003, Neural Computation.

[6]  Gérard Dreyfus,et al.  Single-layer learning revisited: a stepwise procedure for building and training a neural network , 1989, NATO Neurocomputing.

[7]  Dustin Boswell,et al.  Introduction to Support Vector Machines , 2002 .

[8]  T.S. Sidhu,et al.  A new approach for calculating zone-2 setting of distance relays and its use in an adaptive protection system , 2004, IEEE Transactions on Power Delivery.

[9]  John C. Platt,et al.  Fast training of support vector machines using sequential minimal optimization, advances in kernel methods , 1999 .

[10]  Nello Cristianini,et al.  An introduction to Support Vector Machines , 2000 .

[11]  A.G. Phadke,et al.  Third zone revisited , 2006, IEEE Transactions on Power Delivery.

[12]  Hsuan-Tien Lin A Study on Sigmoid Kernels for SVM and the Training of non-PSD Kernels by SMO-type Methods , 2005 .

[13]  Subhransu Ranjan Samantaray,et al.  Transmission line distance relaying using machine intelligence technique , 2008 .

[14]  M. Damborg,et al.  Computer Aided Transmission Protection System Design, Part II: Implementation and Results , 1984, IEEE Power Engineering Review.

[15]  Biswarup Das,et al.  Combined Wavelet-SVM Technique for Fault Zone Detection in a Series Compensated Transmission Line , 2008, IEEE Transactions on Power Delivery.

[16]  Harris Drucker,et al.  A Case Study in Handwritten Digit Recognition , 1994 .

[17]  Jason Weston,et al.  Multi-Class Support Vector Machines , 1998 .

[18]  Vladimir N. Vapnik,et al.  The Nature of Statistical Learning Theory , 2000, Statistics for Engineering and Information Science.

[19]  Vladimir Vapnik,et al.  Statistical learning theory , 1998 .

[20]  Ganapati Panda,et al.  Distance relaying for transmission line using support vector machine and radial basis function neural network , 2007 .

[21]  Chih-Jen Lin,et al.  A comparison of methods for multiclass support vector machines , 2002, IEEE Trans. Neural Networks.

[22]  B Ravikumar,et al.  Knowledge-Based Approach Using Support Vector Machine for Transmission Line Distance Relay Co-ordination , 2008 .

[23]  Chih-Jen Lin,et al.  A Practical Guide to Support Vector Classication , 2008 .

[24]  J. Postforoosh,et al.  Computer Aided Transmission Protection System Design Part I: Alcorithms , 1984, IEEE Transactions on Power Apparatus and Systems.

[25]  P. S. Sastry,et al.  An Introduction to Support Vector Machines , 2002 .

[27]  D. Thukaram,et al.  An Approach Using Support Vector Machines for Distance Relay Coordination in Transmission System , 2009, IEEE Transactions on Power Delivery.

[28]  Chih-Jen Lin,et al.  LIBSVM: A library for support vector machines , 2011, TIST.