2013 3rd International Conference on Electric Power and Energy Conversion Systems, Yildiz Teclmical University, Istanbul, Turkey, October 2-4,2013
Solution to Economic Emission Load Dispatch
Problem Using Modiied Artiicial Bee Colony
Algorithm
H.T. Jadhav Shubham Raj Ranjit Roy
Electrical Engineering Department
Rajarambapu Institute of Technology
Islampur, India.
htj@ritindia.edu
Electrical Engineering Department
SV National Institute of Technology,
Surat, India
Electrical Engineering Department
SV National Institute of Technology,
Surat, India
r@svnit.eed.ac.in shubhamraj 108@gmail.com
Abstract- This paper presents an application of modiied
artiicial bee colony algorithm (MABC) to determine the
optimized solution of economic and emission load dispatch
(EELD) problem. The EELD problem is formulated as a
biobjective problem by taking minimization of fuel cost and
emission levels as objectives. In order to convert a biobjective
problem into a single objective function weighing factor is used.
Effectiveness of the MABC algorithm is veriied by applying it on
ive standard test systems and the outcomes are compared with
the latest reported literatures. It is proved from the results that
MABC algorithm is more powerful than other algorithms.
Keywords- economic and emission load dispatch; modied
aticial bee colony algorithm; price penalty factor; weighing
factor
I. INTRODUCTION
A considerable segment of the world's power plants are
using fossil uels like natural gas, coal, oil as principal resource
for production of elecricity. It is becoming most important to
make use of existing resources consciously and supply
electricity at lowest rate. Economic dispatch (ED) is a key task
in power system operation and planning. The primary objective
of classical ED is to allocate the amount of power produced by
generating units to among the loads and limit total operating
cost while satisying all equality and inequality constraints of
the system. As a result of global warming, the environmental
pollution is becoming an alarming aspect to the world.
Therefore the classical ED problem is modiied to economic
emission load dispatch (EELO) to produce power in cost
effective manner and also with minimum pollution [I].
Artiicial bee colony (ABC) algorithm invented by
Karaboga has been proved to be more effective than some
conventional biological-inspired algorithms like genetic
algorithm (GA), differential evolution (DE) and particle swarm
optimization (PSO). But, ABC is superior at exploration and
poor at exploitation. This paper presents a recently developed
optimization method, where ABC algorithm is modiied to
guide the search of candidate solution towards the global
optima [2].
The signiicant contributions of this paper are as follows:
Modiied artiicial bee colony algorithm (MABC) is
implemented to solve EELO problem and applied to ive
standard test systems consisting of 6, 10, II, 14 and 40
thermal units. The corresponding results are compared with the
methods available in recent literatures.
Rest of the paper is aranged as follows: Section II
provides the EELD problem formulation. In section III an
overview of employed optimization techniques is presented. In
section IV result and discussion of different test cases is
provided. Finally, conclusions are drawn in section V.
II. EELD PROBLEM FORMULATION
The EELO problem seeks the best generation schedule for
the generating plants to supply the required demand plus
transmission losses with minimum production cost and
emission. The objective unction and constraints for the EELO
problem are as formulated below.
A. Classical EELD
p
roblem
In this paper the objective unction which represents total cost
of operation (TC) consists of two independent objectives
namely uel cost (FC) and emission (E). The bi-objective
EELO problem is expressed in single-objective form as in (1)
using a price penalty factor (h) [3].
Minimize;
F
'HD
=
WI FC
+
wzhE
subject to;
I. Power balance constraint,
n
L�
=
P
J
+
.
i=l
2. Inequality constraint,
Pimin :; Pi :;
�m
ax
3. Ramp rate limit,
p _ pini
:;
UR
I 1 I
pint _ p :;
DR
I I I
(1)
(2)
(3)
(4)
where
F
C : uel cost of ith thermal unit; E : emission in
kg/h; w
I
and w
2
are weighing factors such that
w
I
+ w
2
= 1; h is price penalty factor; Pi: output power of
ith generating unit in MW; n: number of generating units in
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