Parameter estimation of horizontal multilayer earth based on complex image method and improved particle swarm optimization

Grounding grids are buried underground to reduce the earth resistance and provide ways for overvoltage protection and current leakage. With regard to the safety evaluation and fault diagnosis of substations, it is vital to know the accurate earth parameters before detecting the fault sites of grounding grid in substations. The estimation of earth parameters is used to solve the inverse problem of calculating apparent resistivity using given earth parameters. First, complex image methods are used to solve the improper integration with the assistance of Prony's expansion which is utilized to calculate the coefficients for the Lipschitz's expansions in this article. Also, by considering the root mean square error and absolute error (AbsE), we focus on different aspects of the effectiveness of the estimation. The root mean square error between the measured and calculated apparent resistivity ( and , respectively) is set up as the main objective function, and AbsE as a supplemental criterion for measuring the estimation. Afterwards, improved particle swarm optimization is adopted to minimize the objective function with a constraint function. Resulting from the outstanding global searching characteristics, accurate soil parameters are much easier to obtain. A method to artificially regulate the initial values is proposed in this article, and two cases are introduced to validate the effectiveness. © 2013 Institute of Electrical Engineers of Japan. Published by John Wiley & Sons, Inc.

[1]  Petar Sarajcev,et al.  A review of methods for grounding grid analysis , 2009, SoftCOM 2009 - 17th International Conference on Software, Telecommunications & Computer Networks.

[2]  D. Uthitsunthorn,et al.  Optimal overcurrent relay coordination using artificial bees colony algorithm , 2011, The 8th Electrical Engineering/ Electronics, Computer, Telecommunications and Information Technology (ECTI) Association of Thailand - Conference 2011.

[3]  Xiaojun Liu,et al.  A novel three-dimensional localization algorithm for Wireless Sensor Networks based on Particle Swarm Optimization , 2011, 2011 18th International Conference on Telecommunications.

[4]  Luciano Martins Neto,et al.  Parameters Estimation of a Horizontal Multilayer Soil Using Genetic Algorithm , 2010, IEEE Transactions on Power Delivery.

[5]  O. Weck,et al.  A COMPARISON OF PARTICLE SWARM OPTIMIZATION AND THE GENETIC ALGORITHM , 2005 .

[6]  J. Fortin,et al.  Multilayer resistivity interpretation and error estimation using electrostatic images , 2006, IEEE Transactions on Power Delivery.

[7]  Zhang Bin,et al.  Soil model's inversion calculation based on genetic algorithm , 2011, 2011 7th Asia-Pacific International Conference on Lightning.

[8]  R. Faraji-dana,et al.  An Efficient Hybrid Swarm Intelligence-Gradient Optimization Method for Complex Time Green's Functions of Multilayer Media , 2007 .

[9]  F. Dawalibi,et al.  Ground Electrode Resistance Measurements in Non Uniform Soils , 1974 .

[10]  H. R. Seedher,et al.  Estimation of two layer soil parameters using finite Wenner resistivity expressions , 1992 .

[11]  I.F. Gonos,et al.  Estimation of multilayer soil parameters using genetic algorithms , 2005, IEEE Transactions on Power Delivery.

[12]  A. Thomasset,et al.  Fat-free mass estimation by the two-electrode impedance method. , 1990, The American journal of clinical nutrition.

[13]  Tetsuro Matsui,et al.  Parameter optimization of model predictive control by PSO , 2012 .

[14]  Bo Zhang,et al.  Parameter Estimation of Horizontal Multilayer Earth by Complex Image Method , 2005 .

[15]  Wesley P. Calixto,et al.  Review: Calculation of soil electrical conductivity using a genetic algorithm , 2010 .

[16]  A. Fakheri,et al.  Experience with the AEP 765-kV System Dumont -- Marysville -- Kammer Field Tests , 1978, IEEE Transactions on Power Apparatus and Systems.

[17]  J. Alamo A comparison among eight different techniques to achieve an optimum estimation of electrical grounding parameters in two-layered earth , 1993 .

[18]  Ioannis A. Stathopulos,et al.  Estimation of multi-layer soil parameters using genetic algorithms , 2004 .