Co-optimization of ampacity and lifetime with considering harmonic and stochastic parameters by Imperialist Competition Algorithm

Abstract

This study presents a novel probabilistic algorithm for the optimal placement of underground power cables to maximize lifetime and ampacity and minimize total cost of the cable system at the same time. In this paper, the Imperialist Competition Algorithm (ICA) and Monte Carlo (MC) simulation are used to solve probabilistic optimization problem. In our previous study, we have just considered probabilistic parameters that are effective on ampacity. However, In fact, we need to consider all the other parameters such as cable’s lifetime and harmonic of demand side for co-optimizing the ampacity and lifetime to obtain the best arrangement of cable system. The cost function of optimization has been improved relative to the last one. Cable lifetime and harmonic of power system, as two important design factors, have been added to cost function in this paper. The novelty of this paper is consisted of economic co-optimization of ampacity and lifetime simultaneously. Furthermore, all statistical variations of cable system parameters, ambient temperature, dimensions of native/backfill soil and uncertainty in demand side such as load current fluctuation and harmonic are considered as design parameters at the same time. Since, all design parameters are stochastic; the change of seasons and climate can modify these parameters along the cable system. Hence, this paper indicates the necessity of consideration of uncertainty parameters at the design phase by taking into account cable lifetime based on a probabilistic approach and avoid using deterministic value. For a better explanation of this method, a numerical example is reported by using corrugated aluminum sheath cable model.