Abstract

This paper proposes an advanced Pareto-front non-dominated sorting multi-objective particle swarm optimization (Advanced-PFNDMOPSO) method for optimal configuration (placement and sizing) of distributed generation (DG) in the radial distribution system. The distributed generation consists of single and multiple numbers of active power DG, reactive power DG and simultaneous placement of active-reactive power DG. The optimization problem considers two multi-objective functions, i.e., power loss reduction and voltage stability improvements with voltage profile and power balance as constraints. First, the numerical output results of objective functions are obtained in the Pareto-optimal set. Later, fuzzy decision model is engendered for final selection of the compromised solution. The proposed method is employed and tested on standard IEEE 33 bus systems. Moreover, the results of proposed method are validated with other optimization algorithms as reported by others in the literature. The overall outcome shows that the proposed method for optimal placement and sizing gives higher capability and effectiveness to the final solution. The study also reveals that simultaneous placement of active-reactive power DG reduces more power losses, increases voltage stability and voltage profile of the system.

Highlights

  • The distribution system is mostly configured radially with high resistance to reactance ratio, it contributes a major share of power losses in the electric network [1]

  • The results showed that the proposed advanced PFNDMOPSO method gives higher capability and performance than other single and multi-objective optimization methods for optimal placement and sizing of distributed generation (DG) problem

  • For 3 DG, it can be seen that the loss reduction is maximum by the proposed method compared to other methods such as loss sensitivity factor and simulated annealing (LSFSA) [44], parto frontier differential evolution (PFDE) [43], dynamic adoption of PSO (DAPSO) [42], genetic algorithm (GA)/PSO [41], PSO [41], GA [41] reported in the literature

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Summary

Introduction

The distribution system is mostly configured radially with high resistance to reactance ratio, it contributes a major share of power losses in the electric network [1]. The authors [6,7,8,9] used the analytical method for optimal DG placement and sizing problem of different objective functions. The drawback of this algorithm is that it only handles the single-objective optimization problem. The fast convergence is preferable in any algorithm but it is feared that it may result in false Pareto-solution in the context of multi-objective optimization This operator helps in maintaining the particles within the search space. The results showed that the proposed advanced PFNDMOPSO method gives higher capability and performance than other single and multi-objective optimization methods for optimal placement and sizing of DG problem. The boundary condition of the real and reactive power DGs are restricted, which is given as in Equations (1) and (2)

Load Flow Technique
Problem
Objective Functions
Power Loss Reduction
Voltage Stability Index
Power Balance
Voltage Profile
Result
Fuzzy Decision Model
16. Add non-dominated solution set of max f i the
Case Studies
MVA and types
Case Study-I
Method
Voltage profile for 33
Objective
Proposed Method
12. Voltage stability bus Type-1 with Type-1
13. Pareto-solution
Method BSA BSA
16. Voltage
Findings
Conclusions

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