Cuckoo Search Algorithm for Minimization of Power Loss and Voltage Deviation

Cuckoo Search Algorithm for Minimization of Power Loss and Voltage Deviation

Dung A. Le (Department of Power Systems, Ho Chi Minh City University of Technology, Ho Chi Minh City, Vietnam) and Dieu N. Vo (Department of Power Systems, Ho Chi Minh City University of Technology, Ho Chi Minh City, Vietnam)
Copyright: © 2016 |Pages: 12
DOI: 10.4018/IJEOE.2016010102
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Abstract

This paper proposes a cuckoo search algorithm (CSA) to solve the optimal reactive power dispatch (ORPD) problem in power system operation considering the power loss and voltage deviation. The proposed CSA is a nature inspired algorithm from the cuckoo species laying their eggs in the nest of other species. There is a probability of the host bird to discover the alien eggs in its nest and the host bird either destroys the strange egg or simply ignores the host and builds a new one. The advantages of the CSA method are few control parameters and high optimal solution quality. The proposed method has been tested on the IEEE 30 bus system and the result comparison has indicated that the proposed method can obtain better solution quality than many other methods. Therefore, the proposed CSA method can be an alternative method for solving the ORPD problem.
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2. Problem Formulation

The objective of the ORPD problem is to minimize real power losses or bus voltage deviation satisfying equality and inequality constraints of real and reactive power balance, capacitor bank limits, voltage bus limits, transformer tap changer limits, and transmission line limits. In addition, voltage deviation (VD) of load buses is very important in ORPD problem. Mathematically, the ORPD problem is formulated as follows:

2.1. Objective Function

The main objective function of ORPD is to minimize total power losses:

(1) and minimize the voltage deviation:

(2)

2.2. Constraint Factors

The real and reactive power balance at buses:

(3)
(4)

Voltage and reactive power limits at generator buses:

(5)
(6)

Limit of capacitor banks:

(7)

Limit of transformer tap changers:

(8)

Limit of voltage at load buses and power on transmission lines:

(9)
(10) where Sl is the maximum power in transmission lines between bus i and bus j determined as follows:

(11)

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