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Abstract-- In this paper, the validity of the single-point
measurements methods and indices, which were proposed for
harmonic source detection and sharing harmonic responsibility
between utility and consumer, are investigated in a typical
distribution system which consists of several critical load cases. A
parametrical analysis by means of the variation of the utility side
impedance’s X/R ratio is also undertaken. The results provide
that the conventional methods and indices based on the flow
direction of the harmonic active power are still the most effective
tools for the harmonic source detection in the typical distribution
systems.
Index Terms-- harmonic source detection; sharing harmonic
responsibility; harmonic source quantification.
I. INTRODUCTION AND BACKGROUND
RESENT day power systems invariably have nonlinear
loads, which inject harmonics into the system and give rise
to non sinusoidal voltages and currents. The most important
effect of the harmonic distortion can be underlined as the
increased losses and decreased life expectancy of the power
system equipment [1]. Thus, the costs associated with
harmonic disturbances and any necessary mitigation
equipment should be recovered from the consumers that
produce harmonic pollution [2]. However, the guidelines and
standards on the limitation of harmonic pollution do not
provide any tool to detect those consumers [3]-[9]. Therefore,
to fulfil this gap, several methods and indices are proposed in
the literature.
Active Power Direction (APD) method is one of the oldest
[10] and probably the most commonly used [11] method
today, and based on the sign of the harmonic active power. It
defines consumer side as the dominant harmonic source if the
respective harmonic active power has a negative sign;
otherwise, source side is the dominant for the considered
harmonic orders.
In addition to these, two indices were proposed by means
of the same way [12], [13]: one is that Supply Load Quality
(SLQ) index express the harmonic producing quantity of the
load as;
This work was supported in part by Turkish Scientific Council under the
project number of 110E113.
M. Erhan Balci is with Balikesir University, Electrical and Electronics
Engineering department, Balikesir, Turkey (e-mail: mbalci@balikesir.edu.tr).
M. Hakan Hocaoglu is with Gebze Institute of Technology, Electronics
Engineering department, Kocaeli, Turkey (e-mail: hocaoglu@gyte.edu.tr).
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SLQ PP = (1)
where P and P
1
are the active and fundamental harmonic
active powers, respectively [12]. Thus, the load is detected as
the dominant source for the harmonic distortion when the
value for SLQ is smaller than unity; otherwise, supply side is
the dominant source for the harmonic distortion.
Second index, Harmonic Global Index, is defined as;
2 2
h h
h hs
HG I I
∈ ∈
=
∑ ∑
`
(2)
where ℓ is the harmonic orders related to the harmonic active
powers, which have the negative sign, and s is vice versa [13].
A non-zero value of HG index shows that the load causes
harmonic distortion.
Linearity Current method [14] defines the harmonic
contributions of utility and consumer sides by separating the
load current into two components; namely, linear current,
which is drawn by the R-L equivalent impedance part of the
load, the remaining current when the linear current is
subtracted from total current in time domain. The two current
components can be expressed as: the linear current;
() ( )
1
1
2
h
h h
h h
V
i t sin h t
Z
=
= ω +θ - φ
∑ `
(3)
and the nonlinear current;
() () ()
n
i t it i t = -
` `
(4)
Where
h h h
Z Z = ∠φ is the h
th
harmonic linear load impedance,
which is equivalent with the serial connection of the
resistance, ( )
1 1 1 1
Re R V I = ∠θ ∠δ and the h
th
harmonic
inductance, ( )
1 1 1 1
Im
h
X h V I = ⋅ ∠θ ∠δ . Therefore, the index that
gives the harmonic responsibility of the consumer is expressed
as;
( ) % 100
n
I
NLC
I
= ⋅
`
(5)
Superposition and Projection (SP) method, presented in
[15], separates harmonic currents into the utility and the
customer portions using Norton equivalents of the utility and
the consumer sides as illustrated in Fig. 1.
On the Validity of Harmonic Source Detection
Methods and Indices
M. Erhan Balci and M. Hakan Hocaoglu
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978-1-4244-7245-1/10/$26.00 ©2010 IEEE