An Efficient Hybrid Method for Solving Security-Constrained Optimal Power Flow Problem

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An Efficient Hybrid Method for Solving Security-Constrained Optimal Power

Flow Problem

Article  in  International Journal on Electrical Engineering and Informatics · December 2020

DOI: 10.15676/ijeei.2020.12.4.14

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Le Minh Phuong

Ho Chi Minh City University of Technology (HCMUT)

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Thanhlong Duong

Industrial University of Ho Chi Minh

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Dieu Vo

Ho Chi Minh City University of Technology (HCMUT)

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International Journal on Electrical Engineering and Informatics - Volume 12, Number 4, December 2020

An Efficient Hybrid Method for Solving Security-Constrained Optimal

Power Flow Problem

Phuong Minh Le1.2, Thanh Long Duong3*, Dieu Ngoc Vo4.2, Tung Thanh Le5

, and Sy Quoc Nguyen6

1

Department of Power Delivery, Ho Chi Minh City University of Technology (HCMUT),

268 Ly Thuong Kiet Street, District 10, Ho Chi Minh City, Vietnam 2

Vietnam National University Ho Chi Minh City,

Linh Trung Ward, Thu Duc District, Ho Chi Minh City, Vietnam 3

Faculty of Electrical Engineering Technology, Industrial University of Ho Chi Minh City,

12 Nguyen Van Bao Street, Go Vap District, Ho Chi Minh City, Vietnam 4

Department of Power Systems, Ho Chi Minh City University of Technology (HCMUT),

268 Ly Thuong Kiet Street, District 10, Ho Chi Minh City, Vietnam 5

Department of Electrical and Electronic Engineering, Tra Vinh University,

126 Nguyen Thien Thanh Street, Tra Vinh City, Tra Vinh Province 6

Tra Vinh Vocational College,

Vinh Yen Hamlet, Long Duc Commune, Tra Vinh City, Tra Vinh province, Vietnam

[email protected], [email protected], [email protected],

[email protected], [email protected]

Abstract: The optimal operation for different states such as normal and contingency cases of a

power system has a very important role in the operation. Therefore, it is necessary to analyze

contingencies in the system so as the most severe cases should be considered for integrating into

the optimal power flow (OPF) problem and the security-constrained optimal power flow

(SCOPF) becomes an important problem for considering in the power system operation. This

paper proposes a combined pseudo-gradient based particle swarm optimization with constriction

factor (PGPSO) and the differential evolution (DE) method for solving the SCOPF problem. The

PGPSO-DE method is a newly developed method for utilizing the advantages of the pseudo￾gradient guided PSO method with a constriction factor and the DE method. The proposed

PGPSO-DE has been tested on the IEEE 30 bus system for the normal case and the contingency

case with two types of the objective function. The results yielded from the proposed method have

been validated via comparing to those from the conventional PSO, DE, and other methods

reported in the literature. The comparisons for the results obtained from the proposed PGPSO￾DE method have shown that it is very effective to solve the large-scale and complex SCOPF

problem.

Keywords: Constriction factor; differential evolution; particle swarm optimization; hybrid

method; pseudo gradient; security-constrained optimal power flow.

1. Introduction

The general problem of the optimal power flow (OPF) has a long time of development since

the first introduction in 1962 [1]. The OPF problem is a very general optimization problem in

the power system operation with many variables such as power generation outputs, bus voltages,

switchable capacitor banks and tap changers of transformers and many constraints to be handled

such as the active and reactive power balance and the upper and lower limits of active and

reactive power outputs, the voltage at buses, the capacity of capacitor banks and steps of

transformer taps [2]. Therefore, the OPF is actually a large-scale and complicated optimization

problem in the power system operation because of many variables and constraints to be handled.

Besides, OPF is a high non-linear characteristic problem due to the non-linear and non-smooth

objective function of the power generation cost tightens with the complex system and generators

constraints. Consequently, with the challenges of the OPF problem brought, over the last half￾century, many researchers have contributed a lot in terms of effort and time to figure out

Received: August 21th, 2020. Accepted: December 7th, 2020

DOI: 10.15676/ijeei.2020.12.4.14

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