International Journal of Electrical & Computer Sciences IJECS-IJENS Vol: 12 No: 01 7
125601-7474 IJECS-IJENS © February 2012 IJENS
I J E N S
Abstract— Power flow is very important tool for analysis
power systems. One of the best power flow methods is Newton
Rahpson. The current algorithm of Newton Rhapson power flow
still used rectangular limit (P
min
-P
max
/Q
min
-Q
max
) to represent
generator capability curve (GCC). Using rectangular limit is not
optimum because it is ignore some are inside GCC. Although less
optimum the rectangular limit is still used in many power
systems applications, because using GCC as limit in power flow
needs complicated mathematical equation. Neural Network (NN)
is one of the best methods in imitating a curve. In this paper NN
is employed to imitate GCC to limit the operating point of
generator in power flow using security check algorithm. The
Advantages of using GCC based on NN as power flow limit is can
minimize the complicated mathematical equations. Also the
algorithm is very simple and accurate especially in representing
the operating point near steady state limit.
Index Terms— Newton-Raphson, Power-Flow, Generator
capability Curve, Neural-Network, Constructive back-
propagation.
I. INTRODUCTION
ower flow is very important tool for the analysis power
systems and it is used in operational and planning. The
objective of power flow is calculating unspecified bus voltage
angles and magnitudes, active and reactive powers, as well as
line loadings and their associated real and reactive losses for
certain generation and load conditions.
Since the middle of the last century, many methods were
proposed to solve this problem. In 1954 Dunstan [1] was
demonstrated a digital method for solving power flow
problem. In 1956 Ward and Hale [2] also have credited the
successful digital formulation and solution of the power flow
problem. Still relating to computer application, In 1967
Tinney and Walker [3] introduced the optimally ordered and
sparsity-oriented programming techniques to improve the
computational time in computer application. In 1974 Brian
Stott was introduced Newton–Raphson (NR) method [4], as
well as the decoupled [5] and fast decoupled (FD) power flow
approaches [6]. The NR usually converges faster than other
methods, but it takes longer computational time per iteration.
The including [3] in Newton based method was made the
Newton’s methods became standard application in industry[7].
Nowadays, the power systems become bigger and more
complicated [8-12], The Newton based technique was
developed and combined with other methods to get better
performance [13-14]. The influenced of equipment especially
power electronics component was made the power quality has
a harmonics inside, the [15] was used the decoupled Newton
to get faster process iteration in accounting converter model in
iterative process. Until Now, the Newton based technique still
can solve some power system problem, but the operating point
of power source (generator) is not enough if it just be operated
using rectangular constraint.
The proposed method in this paper is concern in accounting
any kind of limit generation, not only line and curve but also
combination of line and curve with discontinuities. Actually
the proposed methods can be applied in any kind of curve, but
in this paper only simulated the GCC model [16] for limit
operating point of generator in power flow application. The
Neural Network (NN) [17-18] is employed to imitate the GCC
to eliminate the complicated of mathematical equation. The
security check algorithm also developed to make a simple in
checking limit.
The organization of the rest of the paper is as follows. In
Section II, how GCC based on NN can easily corporate in NR
power flow will be described, starting from overview NR
power flow, how to imitated GCC using NN and how to
security check algorithm is including in NR power flow. In
Section III, the IEEE data test 30 bus is used to verify the
proposed methods. Finally, a conclusion is given in Section
IV.
II. METHODOLOGY
A. Overview of Newton Raphson Power Flow
NR widely used for solving simultaneous nonlinear
algebraic equation by successive approximation procedure
Improved Algorithm of Newton Raphson Power
Flow using GCC limit based on
Neural Network
Mat Syai’in
#1, 2
, Adi Soeprijanto
#1
,
#1
Department of Electrical Engineering, Sepuluh Nopember Institute of Technology (ITS)
Surabaya-Indonesia
#2
Department of Marine Electrical Engineering, Surabaya Shipbuilding State Polytechnic (PPNS-ITS)
Surabaya-Indonesia
matt.syaiin@gmail.com
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