Economic Optimization of an Underground Power Cable Installation

This paper presents a mathematical model for the selection of an optimal power cable conductor cross section and the dimensions of a corrective backfill. To this end, a detailed model for the calculation of the life-cycle cost of cable ownership is presented. The formula considers the material and labor costs in the production of a power cable as well as the cost of losses during its operation. Simultaneously, the procedure seeks the optimal size of the corrective backfill, taking ampacity constraints into account. Since the formulation is complex, a genetic algorithm is proposed to solve the optimization problem. A real-life numerical example is presented.

[1]  Lothar M. Schmitt,et al.  Theory of Genetic Algorithms II: models for genetic operators over the string-tensor representation of populations and convergence to global optima for arbitrary fitness function under scaling , 2004, Theor. Comput. Sci..

[2]  Marek Kaminski,et al.  Detailed model for calculation of life-cycle cost of cable ownership and comparison with the IEC formula , 2018 .

[3]  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.

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

[5]  K.F. Schoch Rating Of Electric Power Cables (Book Review) , 1998, IEEE Electrical Insulation Magazine.

[6]  W Moutassem,et al.  Configuration Optimization of Underground Cables for Best Ampacity , 2010, IEEE Transactions on Power Delivery.

[7]  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.

[8]  Adel Z. El Dein,et al.  Improving underground power distribution capacity using artificial backfill materials , 2015 .

[9]  M. A. El-Kady,et al.  Optimization of Power Cable and Thermal Backfill Configurations , 1982, IEEE Power Engineering Review.

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

[11]  Nimesh Patel,et al.  Thermal environment design considerations for ampacity of buried power cables , 2014, 2014 IEEE PES T&D Conference and Exposition.

[12]  David E. Goldberg,et al.  The Design of Innovation: Lessons from and for Competent Genetic Algorithms , 2002 .

[13]  Dawid Taler,et al.  Numerical simulation of heat dissipation processes in underground power cable system situated in thermal backfill and buried in a multilayered soil , 2015 .

[14]  R. V. Rao,et al.  The performance analysis of a new thermal backfill material for underground power cable system , 2016 .

[15]  M. W. Conroy,et al.  Controlled backfill optimization to achieve high ampacities on transmission cables , 1994 .