The 4
th
International Power Engineering and Optimization Conf. (PEOCO2010), Shah Alam, Selangor, MALAYSIA: 23-24 June 2010
Abstract— Voltage instability has recently become a
challenging problem for many power system operators. This
phenomenon has been reported to be responsible for severe low
voltage condition leading to major blackouts. This paper presents
the application of Artificial Immune Systems (AIS) for online
voltage stability evaluation that could be used as early warning
system to the power system operator so that necessary action
could be taken in order to avoid the occurrence of voltage
collapse. Key features of the proposed method are the
implementation of clonal selection principle that has the
capability in performing pattern recognition task. The proposed
technique was tested on the IEEE 30 bus power system and the
results shows that fast performance with accurate evaluation for
voltage stability condition has been obtained.
Index Terms— Artificial Immune Systems, Pattern
Recognition, Machine Learning, Voltage Stability.
I. INTRODUCTION
oltage stability is the ability of a power system to
maintain steadily acceptable bus voltage at each node
under normal operating conditions, after load increases,
following system configuration changes or when the system is
being subjected to a disturbance. The progressive and
uncontrollable drop in voltage eventually results in a wide
spread voltage collapse. The phenomenon of voltage
instability is attributed to the power system operation at its
maximum transmissible power limit, shortage of reactive
power resources and inadequacy of reactive power
compensation tools [1-3].
Problems related to voltage stability issues have attracted
greater concern among the power system engineers since
power systems nowadays have evolved through continuing
growth in interconnection and operating in highly stressed
condition[4]. Therefore voltage stability evaluation becomes
part of the power system operation routine and has been
treated by a wide spectrum of computational approaches with
major goal of determining the voltage stability condition of the
system and its margin from instability condition [5]. There are
1
S. I. Suliman is with the Faculty of Electrical Engineering, Universiti
Teknologi Mara, Malaysia .
Phone: 603-55435051; fax: 603-55435077
2
T. K. Abdul Rahman is with the Faculty of Electrical Engineering,
Universiti Teknologi Mara, Malaysia .
Phone: 603-55435051; fax: 603-55435077;
e-mail: khawa@ salam.uitm.edu.my
several methods to estimate or predict voltage instability using
indexes. They are based on multiple load flow solution such as
the Voltage Instability Proximity Index (VIPI) and Voltage
Collapse Proximity Indicator (VCPI). Evaluation techniques
based on load flow full of or reduced Jacobian analysis such as
singular value decomposition, eigenvalue calculation,
sensitivity factors and modal analysis are time consuming for
a large power system [6-8]. More robust and efficient index
for determining the set of low-voltage solutions closest to the
operatable solution is also used. This index utilizes the
structure of the power flow equations to determine good initial
guesses for these solutions, and is generally enough to
determine more than just a single low-voltage solution [9-10].
A fast method to evaluate voltage stability condition is
desirable since rapid action and accurate decision is needed so
that the occurrence of voltage collapse could be avoided.
Nowadays, power system control and operation has made use
of intelligent systems in determining system condition for the
on line monitoring system. This is due to their capability in
giving fast decision or evaluation with acceptable accuracy.
The applications of intelligent systems have been reported to
solve power system problems since early 1980’s [3]. Expert
System (ES) and Artificial Neural Network (ANN) are the
most common intelligent systems employed in solving various
problems in power system operation and planning [3]. The
learning capability of ANN has been exploited for power
system security evaluation as reported in references 4 to 7.
For example, a multi-layer feed-forward perceptron ANN was
implemented for predicting power system dynamic stability as
described in reference 4. This method utilized the most critical
eigenvalue obtained from the S-matrix as the indicator or
index to power system dynamic stability and taken to be the
output of the ANN. The relationship between the index
(output) and the input quantities (nodal active and reactive
power, nodal voltage magnitudes and angles) are represented
as a three-layer feed-forward neural network. The neural
network was constructed with the back propagation algorithm.
On the hand, a supervised clustering algorithm of neural
network was used to assess the dynamic stability as mentioned
in reference 5. The algorithm implemented the adaptive
threshold valued to the traditional clustering method and used
the supervised output as the convergence constraints. The
technique has able to reduce the training time of the neural
network. In reference 6, ANN was used to predict the
frequency of the centre of inertia during the first ten seconds
of a dynamic process after the occurrence of generator outage.
The evaluation from the developed ANN would help the
Artificial Immune System Based Machine
Learning for Voltage Stability Prediction in
Power System
S. I. Suliman
1
, T. K. Abdul Rahman
2
, Senior Member,IEEE,
V
978-1-4244-7128-7/10/$26.00 ©2010 IEEE 53