Analysis of underground cable ampacity considering non-uniform soil temperature distributions

Abstract An analytical model for the assessment of cable ampacity due to non-uniform underground temperature distribution is presented. The uneven underground temperature is usually caused by a non-uniform surface heating (e.g., a street or parking crossing, etc.), which is extended for certain length along the cable installation and in depth. The underground temperature distribution is obtained by solving the heat equation with the respective boundary conditions. The cable ampacity reduction is calculated as a function of the surface temperature distribution and the cable depth of burial. The model is validated and several numerical results are obtained for different installation conditions.

[1]  E. Coddington,et al.  Theory of Ordinary Differential Equations , 1955 .

[2]  Miladin Tanaskovic,et al.  Calculation of the ampacity of medium voltage self-supporting cable bunch , 2012 .

[3]  O E Gouda,et al.  Effect of the Formation of the Dry Zone Around Underground Power Cables on Their Ratings , 2011, IEEE Transactions on Power Delivery.

[4]  George J. Anders,et al.  Rating of Electric Power Cables: Ampacity Computations for Transmission, Distribution, and Industrial Applications , 1997 .

[5]  Jovan Nahman,et al.  Evaluation of the loading capacity of a pair of three-phase high voltage cable systems using the fin , 2011 .

[6]  Paul D. H. Hines,et al.  Modeling the impact of electric vehicle charging on heat transfer around underground cables , 2013 .

[7]  R. D. Findlay,et al.  A new approach to underground cable performance assessment , 2008 .

[8]  Chang-Chou Hwang,et al.  Calculation of ampacities for cables in trays using finite elements , 2000 .

[9]  Vasilii S Vladimirov Equations of mathematical physics , 1971 .

[10]  V. Chatziathanasiou,et al.  A theoretical model for effective thermal conductivity of multicore power cables , 2012 .

[11]  G.J. Anders,et al.  Effects of Backfilling on Cable Ampacity Analyzed With the Finite Element Method , 2008, IEEE Transactions on Power Delivery.

[12]  J. Nahman,et al.  Determination of the current carrying capacity of cables using the finite element method , 2002 .

[13]  George J. Anders,et al.  Rating of Electric Power Cables in Unfavorable Thermal Environment , 2005 .

[14]  Behrooz Vahidi,et al.  Optimal configuration of underground cables to maximise total ampacity considering current harmonics , 2014 .

[15]  G.J. Anders,et al.  Ampacity Calculations for Deeply Installed Cables , 2010, IEEE Transactions on Power Delivery.

[16]  M. H. McGrath,et al.  The calculation of the temperature rise and load capability of cable systems , 1957, Transactions of the American Institute of Electrical Engineers. Part III: Power Apparatus and Systems.

[17]  Charis S. Demoulias,et al.  Influence of metallic trays on the ac resistance and ampacity of low-voltage cables under non-sinusoidal currents , 2008 .

[18]  W.Z. Black,et al.  Ampacity derating factors for cables buried in short segments of conduit , 2005, IEEE Transactions on Power Delivery.

[19]  G. Anders,et al.  Ampacity Reduction Factors for Cables Crossing Thermally Unfavorable Regions , 2001, IEEE Power Engineering Review.