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Optimal Reactive Power Planning
Based on Quadratic Programming Function
of MATLAB Optimization Toolbox
Yang Wu 1 , Jinlu Li 2 , and Jian Zhang 1
1 School of Electrical Engineering of Zhengzhou University, Zhengzhou, China, 450001
2 North China University of Water Resources and Electric Power, Zhengzhou, China
wuyang3434@qq.com
Abstract. This paper puts forward a method of using the quadratic
programming function based on the MATLAB Optimization Toolbox to solve
the optimal reactive power planning of the distribution network. The article
uses the annual economic benefit maximization for the objective function,
establishes the mathematical model of optimal reactive power planning of
distribution network and considers the power factor constraints and bus voltage
amplitude constraints. Through the practical example, the optimization results
prove that this mathematical model and algorithm are effective and efficient.
Keywords: Optimal reactive power planning, quadratic programming,
MATLAB Optimization Toolbox.
1
Introduction
With the increase of power and distribution network load, the economic operation of
power grid will be the important decision factor in the economic development. The
operation and management of the power system should not only pay attention to the
safety and reliability, but also consider the economy [1]. The structure of distribution
network and power distribution of power system also have changed with the increase
of power and load, cause that the reactive power distribution of power system is not
reasonable, there are plenty of reactive power current flow in the low voltage circuit,
lead to the power supply capability of distribution transformer and distribution line
are reduced, so, decrease the network loss, improve the transmission efficiency and
the economy of power system are the practical problems of power system operation
department must face, these problems also are the main research directions in the
power system now.
Although the reactive power does not directly constitute available energy, in the
power system it plays an important role [2]. If the reactive power is excess, will make
the voltage increase, exceed the voltage upper limits and harm the operation of the
power grid and the insulation of equipments, if the reactive power is shortage, can
make the voltage is too low, can not meet the load demand, the serious situation can
cause voltage collapse.
 
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