Abstract—The placement and sizing of Distributed Generators
(DGs) can be formulated as a nonlinear optimization problem to
maximize the benefits from its placement, while minimizing its
size. This paper proposes a voltage stability index based method
for the DG placement and a meta-heuristic technique based on
Multi-Objective Particle Swarm Optimization (MOPSO) to
provide Pareto optimal solutions. The MOPSO minimizes the DG
size as well as the weighted sum of multiple system indices,
reflecting the impact of DGs on the improvement of the system
performance. The Pareto-optimal solutions present the possible
trade-off between the multi-objective index and the DG size. The
studies have been carried out on a 30-bus test system and a 41-
bus Indian distribution system. The impacts of the DG placement
on the system voltage profile, line loss, environment and cost of
generation have also been investigated.
Index Terms—Distributed generation, multi-objective particle
swarm optimization, radial distribution system.
NOMENCLATURE
C
alcc
Annualized life cycle cost (Rs.).
C
0
, C
f
Initial capital cost (Rs.), Annual fuel cost (Rs.)
C
O&M
Annual operating and maintenance cost (Rs.)
d, D Discount rate, Capital recovery factor.
GE Gas emission (Kg/MW).
m, P
dg
DG life in years, DG size (MW).
P
L(x)dg
Real power line loss with DG (MW).
P
L(x)0
Base case real power line loss (MW).
Q
L(x)dg
Reactive power line loss with DG (MVAr).
Q
L(x)0
Base case reactive power line loss (MVAr).
SLIP System real power line loss index.
SLIQ System reactive power line loss index.
SVPI System voltage profile improvement index.
SGEI System gas emission index.
Z
ij
,S
ij
Line impedance and transferred apparent power.
I. INTRODUCTION
istributed Generation (DG), which is known as embedded
generation in Anglo-Saxon countries, dispersed generation
in North American countries and decentralized generation in
Europe and Asian countries, is an electric power source
Naveen Jain, (e-mail: njain@iitk.ac.in), S.N. Singh (e-mail:
snsingh@iitk.ac.in) and S. C. Srivastava (e-mail: scs@iitk.ac.in) are with the
Department of Electrical Engineering, Indian Institute of Technology Kanpur,
Kanpur – 208016, India.
connected directly to the distribution network or on the
customer side of the meter. DGs can be (a) renewable energy
sources such as: wind turbine, Solar Photo Voltaic (SPV),
bagasse cogeneration in sugar factories and biomass gasifier,
or (b) non-renewable sources such as: internal combustion
engine, fuel cell and micro turbine, etc. The DG is a feasible
alternative for new capacity addition and can be built in small-
capacity modules in short lead time. Hence, it can track load
variation more closely, especially in the competitive electricity
market environment. DG offers several advantages such as
increased system reliability, loss reduction, voltage profile
improvement, reducing the level of pollutants by use of green
energy sources, transmission and distribution capacity relief
and low investment risk [1-2, 10].
The problem of DG planning has recently received much
attention by power system researchers. In recent years, several
studies have considered techniques for locating DG units in
distribution feeders. Methods and procedures of the DG
placement vary according to the objectives and solution
techniques. Lot of work have already been carried out in the
DG planning, which show the growing interest of the
researchers in this area. Chiradeja et al. [17] proposed a set of
indices to assess some of the technical benefits in a
quantitative manner with concentrated load. In this analysis,
the DG size as well as its location was considered to be fixed.
An analytical approach based on the exact loss formula for
optimal size and location considering loss minimization as an
objective was presented in [3]. Optimization methods such as
Golden section search and Grid search algorithm, using
successive load flows for DG siting and sizing and
considering the loss minimization criterion, were presented in
[4]. Hasan et al. [14] proposed a method based on
continuation power flow. The placement of DG was
considered at the buses most sensitive to the voltage collapse.
Gözel et al. [5] proposed an analytical method for DG sizing
and siting, considering the loss minimization in which the
topological characteristics of a distribution system was
exploited to avoid the use of Jacobian matrix. The effect of
various types of loads on the DG planning was discussed in
[7].
Kennedy and Eberhart [11-12] presented a Particle Swarm
Optimization (PSO) approach which has already been used by
many reseachers in variety of applications. Pindoriya et al.[13]
presented MOPSO based approach for day-ahead optimal self
scheduling of generators under electricity price forecast
uncertainty. Reference [15] has compared various options of
energy to understand the viable option of DG in Indian
Planning and Impact Evaluation of Distributed
Generators in Indian Context using Multi-
Objective Particle Swarm Optimization
Naveen Jain, Student Member, IEEE, S.N. Singh, Senior Member, IEEE, and S.C. Srivastava, Senior
Member, IEEE
D
978-1-4577-1002-5/11/$26.00 ©2011 IEEE