Simple Quadratic Interpolation-Inspired Symbiosis Organisms Search Algorithm for Optimal Placement of Capacitors in Radial Distribution Networks with Different Loading Models

Tri Phuoc Nguyen,Trung Hieu Quang,Dieu Ngoc Vo,Tuan Trong Nguyen,Mohammad Hassan Khooban

doi:10.1155/2020/5493958

Abstract

This paper proposes a novel hybrid algorithm based on a combination of the simple quadratic interpolation and the symbiosis organisms search algorithm (SQI-SOS) for finding the optimal location and size of capacitors in radial distribution networks. The objective of the problem is to minimize the system operating cost so that the net yearly savings of the system are increased. The effectiveness of the SQI-SOS has been tested on 33-, 69-, and 119-bus radial distribution networks with different load models. The obtained results from the test system by the proposed SQI-SOS are compared with those from the conventional SOS and other mature optimization methods in the literature. The result comparison has shown that the proposed SQI-SOS algorithm can provide a better solution than the other methods. Accordingly, the proposed SQI-SOS can be a very effective and efficient method for dealing with the optimal capacitor placement problem in distribution networks.

Highlights

Two scenarios including Scenario 1: constant power (CP) load model with different load levels and Scenario 2: voltagedependent load model with maximum load demand have been adopted for investigations
E implementation of the simple quadratic interpolation (SQI)-Symbiotic organisms search (SOS) to the optimal capacitor placement (OCP) problem is coded in the Matlab R2016a platform, and 50 independent trials are run on a computer with Intel core i5-3337U CPU of 1.80 GHz speed and 8 GB RAM. e Matpower 6.0 toolbox [35] is used for power flow calculation
The proposed SQI-SOS method is more suitable than the original SOS algorithm for dealing with the OCP problem in the CP load model of the 33-bus system. e reason is that the exploration ability of the SQI-SOS method is significantly better than that of the original SOS algorithm

Summary

Introduction

Academic Editor: Mohammad Hassan Khooban is paper proposes a novel hybrid algorithm based on a combination of the simple quadratic interpolation and the symbiosis organisms search algorithm (SQI-SOS) for finding the optimal location and size of capacitors in radial distribution networks. e objective of the problem is to minimize the system operating cost so that the net yearly savings of the system are increased. e effectiveness of the SQI-SOS has been tested on 33-, 69-, and 119-bus radial distribution networks with different load models. e obtained results from the test system by the proposed SQI-SOS are compared with those from the conventional SOS and other mature optimization methods in the literature. e result comparison has shown that the proposed SQI-SOS algorithm can provide a better solution than the other methods. In addition to the analytical approach, numerical programming methods such as dynamic programming (DP) [3], mixed integer linear programming approach (MILP) [4], integer quadratic programming (IQP) [5], clustering-based optimization (CBO) [6], and interior point method (IPM) [7] have been applied for solving the OCP problem. These methods consider the location and size of capacitors as discrete variables, their computational time might take longer than the analytical approaches. Heuristic methods do not always guarantee to obtain the optimal solution for the OCP problem [2]

Methods

Results

Conclusion