In this paper, a framework is presented to solve the problem of multistage distribution system expansion planning in which installation and/or reinforcement of substations, feeders and distributed generation units are taken into consideration as possible solutions for system capacity expansion. The proposed formulation considers investment, operation, and outage costs of the system. The expansi...

In recent years, the water distribution expansion planning (WDEP) problem has become increasingly complex as the demands on water distribution systems have evolved to meet modern requirements. This paper describes an algorithm that combines the strengths of local search with global search to flexibly handle these difficult problems. The algorithm decomposes a WDEP problem into sub problems usin...

design and expansion of distribution systems seems inevitable in view of the need to satisfy the rise in energy consumption in a technical and economical way. optimal location, sizing and determining the service area of substations is one of the principle problems in expansion of distribution systems. also uncertainty is one of the important factors that increase risk of exact decision makings....

This paper investigates the use of ant-colony optimization, simulated annealing, and genetic algorithms for distribution network expansion planning (DNEP) including distributed generation (DG). It may be introduced as a combinatorial optimization method that determines the location and capacity of feeders and substations while minimizing the network loss and installation cost. In this paper, DG...

The increased deployment of distributed generation calls for the coordination and interaction between transmission distribution levels. This requirement is particularly relevant planning purposes when renewable-based involved. Unfortunately, in current industry practice, network planners solve their problems independent each other, thereby leading to suboptimal solutions. Within this context, p...

Optimal distribution substation placement is one of the major components of optimal distribution system planning projects. In this paper optimal substation placement problem is solved using Imperialist Competitive Algorithm (ICA) as a new developed heuristic optimization algorithm. This procedure gives the optimal size, site and installation time of medium voltage substation, using their relate...

Design and expansion of distribution systems seems inevitable in view of the need to satisfy the rise in energy consumption in a technical and economical way. Optimal location, sizing and determining the service area of substations is one of the principle problems in expansion of distribution systems. Also uncertainty is one of the important factors that increase risk of exact decision makings....

In this note we present a series expansion of inverse moments of a non-negative discrete random variate in terms of its factorial cumulants, based on the Poisson-Charlier expansion of a discrete distribution. We apply the general method to the positive binomial distribution and obtain a convergent series for its inverse moments with an error residual that is uniformly bounded on the entire inte...