Adaptive notch filter under indirect and direct current controls for active power filter

Bulletin of Electrical Engineering and Informatics
Vol. 9, No. 5, October 2020, pp. 1794~1802
ISSN: 2302-9285, DOI: 10.11591/eei.v9i5.2165  1794
Journal homepage: http://beei.org
Adaptive notch filter under indirect and direct current controls
for active power filter
Syahrul Hisham Mohamad1
, Mohd Amran Mohd Radzi2
, Nashiren Farzilah Mailah3
,
Noor Izzri Abd. Wahab4
, Auzani Jidin5
, Musa Yusup Lada6
1,2,3,4,6
Advance Lightning, Power and Energy Research (ALPER), Faculty of Engineering,
Universiti Putra Malaysia, Malaysia
1,5,6
Faculty of Electrical and Electronic Engineering Technology, Universiti Teknikal Malaysia Melaka, Malaysia
Article Info ABSTRACT
Article history:
Received Dec 29, 2019
Revised Mar 7, 2020
Accepted Apr 9, 2020
This study presents the implementation of adaptive notch filter (ANF) as
reference signal extraction for shunt active power filter (APF) in indirect
current control (ICC) and direct current control (DCC) modes for three phase
system. The ANF functions to filter the signal that inputted to it by producing
a fundamental signal and harmonics signal. The advantage of applying
the ANF algorithm is based on its simple design that giving the ANF
advantages to be utilize in microcontroller. The performance of the ANF
is validated though MATLAB simulation in ICC dan DCC configurations.
Based on the simulation results, the ANF is capable to work efficiently for
both ICC and DCC modes, but in term of efficiency, the ICC mode is clearly
showing a better harmonics mitigation result. Base on the result also it shown
that the ANF is capable of mitigate the harmonics below the standard
required by the IEEE 519-92. The application of ANF is useful to be applied
due to its simple design and filtering method.
Keywords:
Active power filter
Adaptive notch filter
Direct current control
Indirect current control
Total harmonics distortion
This is an open access article under the CC BY-SA license.
Corresponding Author:
Syahrul Hisham Mohamad,
Faculty of Electrical and Electronic Engineering Technology,
Universiti Teknikal Malaysia Melaka,
Hang Tuah Jaya, 76100 Durian Tunggal, Melaka, Malaysia.
Email: syahrulhisham@utem.edu.my
1. INTRODUCTION
The needs of power quality compensation in electrical power system is becoming more and more
crucial nowadays as the increase of the development in power electronics equipment. The trends of power
electronic applications are soaring whether within industrial applications or throughout domestic
applications. This abundancy leads to the pollution of the electrical power system, which is mostly
harmonics [1]. Mitigation or suppressing the harmonics has been suggested within these recent years
as the research works in active power filter (APF) have been progressing. This paper specifies on the strategy
of extracting the harmonics in order to support the control of the APF.
In developing an APF, one of most important components is the harmonics extraction algorithm.
This algorithm functions as the core component in supplying the reference signal to the APF for producing
compensative power to the electrical power system. In developing the extraction algorithm, many methods
have been studied and applied whether in time or frequency based domains. In frequency based domain,
the techniques used are ranging from fast Fourier and discrete Fourier series [2–5], Kalman filtering [6-8]
and wavelet transformation [9]. However, working in the frequency domain is a little tedious as it involves
transformation of information into frequency domain. The commonly used extraction techniques for the APF

Bulletin of Electr Eng & Inf ISSN: 2302-9285 
Adaptive notch filter under indirect and direct current controls for active… (Syahrul Hisham Mohamad)
1795
is within the time domain as it will involve the algorithm to work in real time condition. The time domain
is divided into classical methods such as PQ and PQR theory [10-13], synchronous reference frame
theory [14-16], and capacitor voltage control techniques. Alternatively, the intelligent techniques have been
considered such as neutral network [17], adaptive neural network and adaptive linear neuron [18-21].
Besides the three groups of techniques used widely, another emerging technique is the filtering technique
such as adaptive notch filter (ANF), in which this technique has simple design and does not require training.
This paper proposes application of ANF based on the IIR filter as an extraction method of
harmonics for indirect current control (ICC) and direct current control (DCC) of APF. By applying the ANF,
the filter is capable of tracking the frequency and phase of the system without additional component such as
phase lock loop (PLL). Another advantage of applying the ANF is its capability to filter out the fundamental
component and selective components of harmonics of the electrical power system.
2. PRINCIPLE OF ADAPTIVE NOTCH FILTER
An ideal notch filter is a filter that allows a linear gain at every frequency except at a specified
frequency where the gain is zero. Based on this condition, the notch filter is able to withdraw the solicit
signal of sinusoidal components from electrical power system within the given frequency.
2.1. Adaptive notch filter design
Initially, ANF is designed based on the IIR filter but operating within the frequency domain.
However, later on the ANF is transposed into the time domain in order to suite within the time based
operation [22]. For better dynamic condition, the ANF is then modified in scalar condition with adaptation
mechanism. The dynamic behavior of ANF can be proposed as the following set of differential
equations [23, 24].
(1)
(2)
(3)
From the set of equation, the system can be explained as following condition. The input signal
of the system is given as u(t),  represents the estimation frequency of the system while  and  represent two
coefficients that play important role in determining the accuracy and the convergence speed of the system.
The two coefficients are randomly set but both values need to compensate each other or otherwise the ANF
will not function at its maximum filtering capacity [25]. In a functional single sinusoidal input
u(t)=A1 sin (0t + 1) , the used ANF has an explicit characteristic where it is having a unique periodic orbit
located at .
Based on the output of the ANF, the filter will produce the cos component of the filtered signal
noted by x but with negative magnitude and sin component is noted by but the value of the sin needs to be
scalar with in order to get right value of filtered input [26, 27]. The basic structure of the ANF for
single-phase system is shown in Figure 1.
Figure 1. ANF structure for single-phase system

 ISSN: 2302-9285
Bulletin of Electr Eng & Inf, Vol. 9, No. 5, October 2020 : 1794 – 1802
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2.2. Three-phase ANF
As shown in the previous section, a singular set of ANF works only for a singular input signal.
In order to design a functional three-phase ANF, the arrangement can be generalized to a sequence of three
ANFs which will be working in parallel to extract the fundamental components of each of the input signals.
Since the structure of the three-phase ANF is having the same frequency over time, the frequency estimator
of the system can be shared between them, thus reducing the integration function of the three-phase
system [28]. This approach therefore provides decrease in error over preceding method as the ANF is sharing
the frequency estimator. Basically, the ANF for three-phase usage is defined by following equations.
(4)
(5)
(6)
where n is the phase (a, b and c) and the update law on the frequency is summation of the error and the signal
of all three phases.
The design of the three-phase ANF is shown in Figure 2. It is shown that the ANF structure
is divided into two, in which the first structure is the generalized frequency extractor where it is composed
from (5) and the second structure is the component extraction [29]. It can be seen that the ANF works by
updating the error law in (6) of each individual phase of signal.
Figure 2. ANF structure for three-phase system
3. CURRENT CONTROL METHOD OF ANF
The proposed ANF is designed and simulated in a three-phase shunt APF. The configuration
of three-phase shunt APF with ANF as the harmonics extraction is shown in Figure 3. The system
is consisting of a three-phase power supply, shunt APF and nonlinear load. The source of harmonics
is deviated from the nonlinear load where it consists of three-phase rectifier circuit and attached with
an inductive load. For the shunt APF, control strategies are made of harmonics extraction algorithm, current
control algorithm and switching algorithm. In this paper, the main extraction algorithm is the ANF where
the highlighted item is on the implementation of ANF ICC and DCC modes. The switching algorithm

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is implemented with hysteresis switching control. As shown in Figure 3, the source current is summation of
the load current and the harmonics current as in (7).
(7)
The reference current signal of the shunt APF can be taken from two mentioned current control
methods. For the ICC, the ANF will produce the filtered fundamental input current signal and the signal then
will be compared with the supply input current. The difference between both signals will be taken as
the input for the shunt APF but with inverse magnitude. This condition is given as follow.
(8)
Meanwhile, for the DCC, the harmonics signal generated by the ANF is compared to the filter
current that are produced by the shunt APF. The harmonics needed for this control is taken from the error
value of the ANF as given in (6). The current control is given as (9). The signal given to the shunt APF
is the additional value required for filter to reach compensation error between the harmonics signal
of the ANF and filtering current.
(9)
4. SIMULATION RESULT AND ANALYSIS
The capabilities of the proposed extraction algorithm is tested and validated by a simulation tool.
The simulation is done using MATLAB Simulink with sim power system toolbox. Figures 3 and 4 show
the simulation diagram of APF with the ANF for both DCC and ICC modes. The simulation parameters
considered are shown in Table 1. In order to obtain the appropriate response of the system, the simulation
is done within this order, initially the load is turned off and when the time reaches 0.1s, the load is truned on,
and when the time reaches 0.3s, the APF is connected to the point of common coupling (PCC).
Figure 3. Shunt APF for three-phase system

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Figure 4. ANF structure in MATLAB Simulink
Table 1. Simulation parameters
Parameter Value
Source Voltage 415 V (RMS), 50 Hz
Source Impedance 1, 1mH
Single Phase Nonlinear Load 60 , 50 mH
DC Link Capacitance and Vref 3300 F, 700V
Filtering Inductor 5 mH
ANF Gains =0.16, y=180
4.1. Indirect current control
The first simulation is done in order to demonstrate performance of the ANF for ICC. Figure 5 (a)
shows the source voltage and load voltage within all the simulation stages. As shown in the figure, the source
and load voltage waveforms are maintained during all of stages without being affected by the turning
of load and APF. Figure 5 (b) shows the source current and load current for the APF with ICC mode.
From the figure, the system starts to operate the load at 0.1s, at this point the source and load currents
are having non-ideal sinusoidal waveforms. However, when the APF is applied to the system at 0.2s,
the harmonics are managed to be compensated where the current source managed to regain the sinusoidal
waveform. The detailed waveforms of source voltage, source current and filter current at the PCC is shown in
Figure 6. The figure clearly shows that the source is successfully mitigated by the APF and waveform of
the compensation current at the filtering inductor.
(a) (b)
Figure 5. (a) Source voltage and load voltage for ICC, (b) Source current and load current for ICC

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Figure 6. Phase A ICC waveform, (a) Source voltage, (b) Source current and (c) Filter current
4.2. Direct current control
The second simulation is done for the ANF using DCC method with the same system specification.
As same as the predecessor method, the source and load voltages are maintained during the system
is introduced to load and APF as shown in Figure 7 (a). Comparable with ICC method, the DCC method also
manages to mitigate the source current when it is applied to the system, and the undesirable sinusoidal
waveform that affecting the source current contributed by the load is managed to regain the desire sinusoidal
shape. This shows that the APF functions accordingly in reducing the harmonics within the system.
As shown in Figure 7 (b), at point 0.2s, the source current from each phase changes the shape into
a sinusoidal waveform. In Figure 8, the detailed waveform of the DCC for phase A is shown. The figure
show the source voltage, the source current and the filter current. When the APF is activated at point 0.2s
and upon operation, it manages to mitigate the harmonics.
(a) (b)
Figure 7. (a) Source voltage and load voltage for DCC, (b) Source current and load current for DCC

 ISSN: 2302-9285
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Figure 8. Phase A DCC waveform, (a) Source voltage, (b) Source current, and (c) Filter current
4.3. Total harmonic compensation
Both ICC and DCC modes perform as expected in controlling the harmonics of the source current at
PCC. Based on the initial condition of the system without the APF, the harmonics measured is around
27.97%, and when APF is applied, the harmonics are reduced to 2.01% and 2.43% for ICC and DCC
respectively, as shown in Figure 9. The recorded total harmonic distortion (THDs) for all phases before and
after mitigation are shown in Table 2. Based on this result, it is shown that APF with ICC is having better
performance in mitigating harmonics compared to DCC. However, both are still ensuring APF to operate
within the limit IEEE standard, which is below 5%.
Table 2. THD’s measured for ICC and DCC
PHASE
ICC DCC
Without APF With APF Without APF With APF
PHASE A 27.97 % 2.01 % 27.97 % 2.43 %
PHASE B 27.97 % 1.99 % 27.97 % 2.44 %
PHASE C 27.97 % 2.01 % 27.97 % 2.46 %
(a) (b)
Figure 9. THD of phase A for, (a) ICC method, (b) DCC method

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5. CONCLUSION
In conclusion, ANF has been used in the shunt APF as harmonics extraction method for two current
control methods. The work as demonstrated in the simulation is capable of extracting both fundamental
and harmonics signals. When the ANF is simulated in DCC and ICC methods, the APF can mitigate
the harmonics. Comparing both methods, as shown by the THD values, the ICC method is more capable on
mitigating harmonics compared to the DCC method. However, in consideration as extraction method for
APF, the ANF is functioning perfectly as the extraction method.
ACKNOWLEDGEMENTS
The authors would like to express their sincere gratitude to the Ministry of Education Malaysia,
UPM, ALPER UPM and UTeM for the technical and financial support of this research. The research was
funded by Universiti Putra Malaysia under PUTRA Grant (9656100).
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