Earth Return Impedances of Conductor Arrangements in Multilayer Soils—Part I: Theoretical Model

The influence of earth stratification on the conductor impedances is investigated in this paper. A general solution of the electromagnetic-field equations for the case of overhead and underground transmission-line conductors of arbitrary topology and multilayer earth is presented. Generalized expressions for the self and mutual impedances of the conductors are derived. All existing approaches result from the generalized equations, when the corresponding approximations are applied. A suitable integration scheme is also proposed for the calculation of the complex integrals involved in the expressions.

[1]  P.S. Dokopoulos,et al.  Earth Return Impedances of Conductor Arrangements in Multilayer Soils—Part II: Numerical Results , 2008, IEEE Transactions on Power Delivery.

[2]  M. A. Wolfe.  A first course in numerical analysis , 1972 .

[3]  J. R. Carson.  Wave propagation in overhead wires with ground return , 1926 .

[4]  Georgios C. Christoforidis,et al.  Earth conduction effects in systems of overhead and underground conductors in multilayered soils , 2006 .

[5]  A. Ametani,et al.  Further studies on wave propagation in overhead lines with earth return: impedance of stratified earth , 1973 .

[6]  F. Dawalibi,et al.  Earth Resistivity Measurement Interpretation Techniques , 1984, IEEE Power Engineering Review.

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

[8]  A. Davies,et al.  Earth Resistivity Measurement Interpretation Techniques , 1984, IEEE Transactions on Power Apparatus and Systems.

[9]  Richard C. Dorf,et al.  The Electrical Engineering Handbook , 1993 .

[10]  E. Sunde.  Earth conduction effects in transmission systems , 1949 .

[11]  J. Sletbak,et al.  Simulation of transient sheath overvoltages in the presence of proximity effects , 1995 .

[12]  D.P. Labridis,et al.  Earth return path impedances of underground cables for the two-layer earth case , 2005, IEEE Transactions on Power Delivery.

[13]  A. Ametani,et al.  A General Formulation of Impedance and Admittance of Cables , 1980, IEEE Transactions on Power Apparatus and Systems.

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

[15]  F. Rachidi,et al.  External impedance and admittance of buried horizontal wires for transient studies using transmission line analysis , 2007, IEEE Transactions on Dielectrics and Electrical Insulation.

[16]  D.P. Labridis,et al.  A systematic approach to the evaluation of the influence of multilayered Earth on overhead power transmission lines , 2005, IEEE Transactions on Power Delivery.

[17]  Irene A. Stegun,et al.  Handbook of Mathematical Functions. , 1966 .

[18]  Dimitris P. Labridis,et al.  Direct numerical evaluation of earth return path impedances of underground cables , 2005 .

[19]  L. M. Wedepohl,et al.  Wave propagation in multiconductor overhead lines. Calculation of series impedance for multilayer earth , 1966 .

[20]  F. Pollaczek,et al.  Uber das Feld einer unendlich langen wechselstromdurchflossen Einfachleitung , 2022 .