Vol.:(0123456789) 1 3
Journal of Electrical Engineering & Technology
https://doi.org/10.1007/s42835-020-00593-5
ORIGINAL ARTICLE
Simultaneous Reconfiguration and Optimal Capacitor Placement
Using Adaptive Whale Optimization Algorithm for Radial Distribution
System
M. Ramesh Babu
1
· C. Venkatesh Kumar
1
· S. Anitha
2
Received: 23 April 2020 / Revised: 30 July 2020 / Accepted: 19 October 2020
© The Korean Institute of Electrical Engineers 2020
Abstract
The losses in the distribution networks due to the line resistance decrease the overall efficiency of the power distribution.
Reducing the power losses and regulating the voltages within the limits are necessary to provide quality power to the consum-
ers. The power loss can be minimized by optimum network reconfiguration and the placement of the capacitors. Considering
independent network reconfiguration and placement of the capacitor is not effective during heavy loading conditions. This
paper proposes a simultaneous network reconfiguration and capacitor placement in radial distribution network to minimize
the real power losses, operating cost and to improve the bus voltages. The Johnson’s algorithm is used to find the minimal
spanning tree during the network reconfiguration and an adaptive whale optimization algorithm is used as an optimization
method. The proposed methodology is tested on standard IEEE 33-bus and 69-bus radial distribution systems. The effective-
ness of the proposed method is validated by comparing the results with previous result reported in the literature in terms of
cost saving and loss reduction.
Keywords Adaptive whale algorithm · Network reconfiguration · Johnson’s algorithm · Optimal capacitor placement ·
Power loss reduction · Operating cost minimization
List of Symbols
P
i
Real power at sending node
P
j
Real power at receiving node
Q
i
Reactive power at sending node
Q
j
Reactive power at receiving node
P
Li
Real power load at sending node
Q
Li
Reactive power load at sending node
P
Lj
Real power load at receiving node
Q
Lj
Real power load at sending node
R
ij
Resistance between i and j
X
ij
Reactance between j and j + 1
V
i
Sending end voltage
V
j
Receiving end voltage
V
min
/
V
max
Min/max voltage limits
P
loss
Real power loss between i and j
P
Tloss
Total real power loss
K
p
Cost per kWh
D Depreciation factor
K
1
Cost per installation
CB Number of compensated bus
K
c
Cost per kvar
Q
ci
Value of installed reactive power
1 Introduction
The reliable power delivered to the consumers depends upon
the efficiency of the distribution system. The ratio between
resistance and reactance is high for distribution lines due to
shorter length, which results in huge real power loss. It is
necessary to minimize the real power losses in the distribu-
tion network to ensure optimal and efficient power distribu-
tion. A variety of methods have been proposed to minimize
* M. Ramesh Babu
rameshbabum@stjosephs.ac.in
C. Venkatesh Kumar
venkateshceg@gmail.com
S. Anitha
aniselva23@gmail.com
1
Department of Electrical and Electronics Engineering, St
Joseph’s College of Engineering, Sholinganallur, OMR,
Chennai, Tamil Nadu 600119, India
2
Department of Electrical and Electronics Engineering, IFET
College of Engineering, Viluppuram, Tamil Nadu 605602,
India