design and simulation of power factor correction

International Journal of Trend in Scientific Research and Development (IJTSRD)
Volume 3 Issue 5, August 2019 Available Online: www.ijtsrd.com e-ISSN: 2456 – 6470
@ IJTSRD | Unique Paper ID – IJTSRD27905 | Volume – 3 | Issue – 5 | July - August 2019 Page 2312
Design and Simulation of Power Factor Correction
Boost Converter using Hysteresis Control
Yu Yu Khin1, Yan Aung Oo2
1Assistant Lecturer, 2Pro-Rector
1,2Mandalay Technological University, Mandalay, Myanmar
How to cite this paper: Yu Yu Khin | Yan
Aung Oo "Design and Simulation of Power
Factor Correction Boost Converter using
Hysteresis Control"
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Journal of Trend in
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and Development
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6470, Volume-3 |
Issue-5, August 2019, pp.2312-2316,
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ABSTRACT
Nowadays various power converters like AC-DC orDC-DCarewidely used due
to their flexible output voltage and high efficiency. But these converters take
the current in the form of pulses from the utility grid so that the high Total
Harmonic Distortion (THD) and poor Power Factor (PF) are the major
disadvantages of these converters. Hence there is a continuous need for PF
improvement and reduction of line current harmonics. The most popular
topology for Active Power Factor Correction (APFC) is a boost converter as it
draws continuous input current. This input current can be manipulated by
Hysteresis control technique. The boost converter can perform this type of
active power factor correction in many discontinuous and continuous modes.
The design and simulation of boost converter with power factor correction in
continuous conduction mode is represented by using MATLAB/SIMULINK
software.
KEYWORDS: APFC, Boost Converter, Hysteresis Control, PF, THD
I. INTRODUCTION
Most electronic devices are supplied by 50 Hz or 60 Hz utility power supplies.
Almost in all of the devices power is processed through some kinds of power
converters such as AC-DC or DC-DC or DC-AC. Rectifiers i.e. AC to DC power
converters are typically used in SMPSs (switch-mode power supplies), ASDs
(adjustable-speed drives), UPSs (uninterrupted power supplies), power
provisions for communication system devices, test devices etc [1].
An AC-DC converter consisting of line frequency diode
bridge rectifier with a large filter capacitor is cheap and
robust, but demands a harmonic rich AC line current. So the
input power factor is poor [2].These converters rectify the
input AC line voltage to obtain DC output voltage,butthis DC
voltage oscillates between zero to peak. The filter capacitor
is used to reduce the ripple present in the output voltage but
introduces distortion in the input current which results in
poor PF and high THD [3]. So the conventional capacitor
filter is replaced by boost converter which helps in making
power factor unity [4].
If there is no power factor correction circuit in the input
rectifier followed by a capacitive filter draws pulsating
currents from the utility grid. So the power quality become
poor and the higher harmonic contents in the power creates
bad affect to the other users fed from same grid. Higher
harmonics in the current affects the utility grid and other
users appliances as well [5].
Various power Factor correction (PFC) techniques are
employed to overcome these power quality problems out of
which the boost converter topology has been extensively
used in various AC-DC and DC-DC appliances [6].The boost
topology is very simple and allow low-distorted input
currents and almost unity power factor with different
control techniques [7]. Boost converter topology in
continuous conduction mode (CCM) is used in medium
power AC-DC converter, as it gives near unity power factor
at AC input [8].
A power factor correction circuit inserted between the line
and nonlinear load can give both stable output DC voltage
and input side high power factor [9]. PFC methods based on
passive and active topologies are discussed and by using
active PFC topology the source current is made sinusoidal
with minimum THD and almost unity powerfactor(PF)[10].
Fig.1, Block Diagram of Conventional AC-DC Boost
Converter
II. COMPONENTS OF SYSTEM
A. Diode Bridge Rectifier
A diode bridge rectifier is an arrangement of four diodes ina
bridge circuit configuration that provides the same polarity
of output for either polarity of input. When used in its most
common application, for conversion of alternating-current
input into a direct-current output, it is known as diode
bridge rectifier. The DC output voltage can be calculated by
(1)
π
2V
V
max
dc  (1)
rms
max V
2
V  (2)
IJTSRD27905

International Journal of Trend in Scientific Research and Development (IJTSRD)
@ IJTSRD | Unique Paper ID – IJTSRD27905
Where, Vmax=maximum peak value
Vrms=root means square of voltage
Fig. 2, Circuit diagram of the diode bridge rectifier
B. Smoothing Capacitor
A smoothing capacitor is used in conjunction with a rectifier
circuit. It acts to smooth or even out fluctuations in a signal.
It is placed across the output of the rectifier and in parallel
with the load. Usually when choosing the smoothing
capacitor, it is used from anywhere from 10µF to a few
thousand µF. The greater the amplitude of the fluctuations
and greater the waveform, the larger capacitor will be
necessary.
r(pp)
max
f
2fRV
V
C 
Assuming,
Vr(pp) = 5%of output voltage
(peak to peak ripple voltage, V)
f = line frequency (50 Hz)
R = load resistance (Ω)
Fig. 3, Resultant output waveform with and without
smoothing capacitor
C. DC-DC Boost Converter
Power of the boost converter can come from any suitable DC
sources, such as DC generators, batteries, solar panels and
rectifiers. The method that changes one DC
different DC voltage is called DC to DC conversion.Generally,
a boost converter is a DC to DC converter with an output
voltage greater than the source voltage. It is sometimes
called a step-up converter since it “step
voltage. It is a class of switched-mode power supply (SMPS)
consists of a power MOSFET, a diode,inductorandcapacitor.
This converter has the filter inductor on the input side,
which provides a smooth continuous input current
waveform. Capacitor is normally added to the output of the
boost converter to reduce the output voltage ripple.
in
out V
D
1
1
V


Here, D is the duty cycle. Vin is the rectified input voltage
and Vout is the output voltage.
International Journal of Trend in Scientific Research and Development (IJTSRD) @ www.ijtsrd.com
27905 | Volume – 3 | Issue – 5 | July - August 2019
Vrms=root means square of voltage
Fig. 2, Circuit diagram of the diode bridge rectifier
A smoothing capacitor is used in conjunction with a rectifier
acts to smooth or even out fluctuations in a signal.
It is placed across the output of the rectifier and in parallel
with the load. Usually when choosing the smoothing
capacitor, it is used from anywhere from 10µF to a few
itude of the fluctuations
and greater the waveform, the larger capacitor will be
(3)
Fig. 3, Resultant output waveform with and without
Power of the boost converter can come from any suitable DC
sources, such as DC generators, batteries, solar panels and
rectifiers. The method that changes one DC voltage to a
different DC voltage is called DC to DC conversion.Generally,
a boost converter is a DC to DC converter with an output
voltage greater than the source voltage. It is sometimes
up converter since it “step-up” the source
mode power supply (SMPS)
consists of a power MOSFET, a diode,inductorandcapacitor.
This converter has the filter inductor on the input side,
which provides a smooth continuous input current
to the output of the
boost converter to reduce the output voltage ripple.
(4)
Here, D is the duty cycle. Vin is the rectified input voltage
Fig. 4, Mode (1) Operation of DC
When the switch is ON,
in
L
V
dt
di
L 
Fig. 5, Mode (2) Operation of DC
When the switch is OFF,
out
in
L
V
V
dt
di
L 

During mode (1) operation, energy is stored in the inductor.
Load is supplied by capacitor current. During mode (2)
operation, energy stored in the inductor is transferredtothe
load together with the input voltage.Energyischargedin the
capacitor.
The design calculation of the boost converter can be
calculated by the following eq
rectified line voltage Vin can be calculated by
rms
in V
2
V 
Maximum and minimum value of DC voltage Transfer
function is given by (8)
max)
in(min,
out
min)
VDC(max,
V
V
M 
Maximum and minimum load resistance is given
relation
max)
o(min,
out
min)
L(max,
I
V
R 
Maximum and minimum value of duty cycle can be
calculated from equation
min)
VDC(max,
min)
(max,
M
η
1
D 

Assuming the switching frequency, fs =100 kHz and
minimum inductance value can be calculated by
s
2
min
min
lmax
min
2f
)
D
(1
D
R
L


And also minimum capacitance value is obtained by
cpp
lmin
s
out
max
min
V
R
f
V
D
C 
www.ijtsrd.com eISSN: 2456-6470
August 2019 Page 2313
Fig. 4, Mode (1) Operation of DC-DC Boost Converter
(5)
Fig. 5, Mode (2) Operation of DC-DC Boost Converter
(6)
During mode (1) operation, energy is stored in the inductor.
capacitor current. During mode (2)
operation, energy stored in the inductor is transferredtothe
load together with the input voltage.Energyischargedin the
The design calculation of the boost converter can be
calculated by the following equations. The single-phase
rectified line voltage Vin can be calculated by
(7)
Maximum and minimum value of DC voltage Transfer
(8)
Maximum and minimum load resistance is given by the
(9)
Maximum and minimum value of duty cycle can be
(10)
Assuming the switching frequency, fs =100 kHz and
minimum inductance value can be calculated by
(11)
And also minimum capacitance value is obtained by
(12)

International Journal of Trend in Scientific Research and Development (IJTSRD) @ www.ijtsrd.com eISSN: 2456-6470
III. CONTROL SCHEME OF POWER FACTOR
CORRECTION BOOST CONVERTER
When a converter has less than unity power factor,it means
that the converter absorbs apparent power higher than
active power. So the harmonic currents are generatedbythe
converter. Higher harmonics in the current affects theutility
grid and other appliances as well. So the power factor
correction is needed.
A. Active Power Factor Correction
An active power factor correction approach is the most
effective way to correct power factor of electronic supplies.
The active PFC techniques can be classified as: (1) PWM PFC
techniques, (2) Resonant PFC techniques, (3) Soft switching
PFC techniques and so on. In PWM PFC approach, the power
switching device operates at pulse-width modulation mode.
Switching frequency of active power switch is constant, but
turned-on and turned-off mode is variable. Here a boost
converter is placed between thebridgerectifierand theload.
The converter tries to maintain a constant DC output bus
voltage and draws a current that is in phase with and at the
same frequency as the line voltage.
Advantages of boost APFC are as follows:
 Active wave shaping of input current
 Filtering of the high frequency switching
 Feedback sensing of the source current for waveform
control
 Feedback control to regulate output voltage
There are various types of control techniques present for
improvement of power factor with tight output voltage
regulation. They are:
 Peak current control
 Average current control method
 Borderline control method
 Discontinuous current PWM control method
 Hysteresis control method
There are different current mode control techniques to
manipulate continuous input current obtained from the
boost converter. Among them, Hysteresis Control Method is
used because of many advantages over other methods.
Hysteresis control method has the constant on-time and the
constant off-time control, in which only one current
command is used to limit either the minimum input current
or the maximum input current. Hysteresis comparators are
used to impose hysteresis band around the reference
current. The hysteresis control scheme provides excellent
dynamic performance because it acts quickly. Also, an
inherent peak current limiting capability is provided. This
type of control in which two sinusoidal current references
IP,ref, IV,ref are generated, one for the peak andtheotherfor
the valley of the inductor current. According to this control
method, the switch is turned on when the inductor current
goes below the lower reference IV,ref and is turnedoffwhen
the inductor current goes above the upper reference IP,ref,
giving rise to a variable frequency control. The block
diagram of the hysteresis controller is shown in Figure 6.
Advantages:
 no need of compensation ramp
 low distorted input current waveforms
Disadvantages:
 variable switching frequency
 inductor current must be sensed
 control sensitive to commutation noises
Fig. 6, Hysteresis control scheme
IV. DESIGN AND MODELLING FOR PFC BOOST
CONVERTER
In this paper, design calculation and modelling is executed
for conversion of 230 V single phase AC input voltage to 400
V DC at 3.4 kW output power. For thisconversion,Hysteresis
Controlled Mode based PFC boost converter is used. The
specifications for the system are as follow:
AC input Voltage = 230 V
DC output voltage = 400 V
Converter Rated Power = 3.4 kW
By using equations described in section II, the calculated
results for PFC boost converter are shown in TABLE I.
TABLE I. THE CALCULATED RESULTS OF SYSTEM DESIGN
PARAMETERS
Parameters Symbols Ratings
Maximum and minimum value of
single-phase rectified line voltage
Vin max
Vin min
325.27V
261.63V
Maximum and minimum value of
DC voltage transfer function
M VDC max
M VDC min
1.53
1.23
Maximum and minimum duty
cycle
D max
D min
0.419
0.268
Maximum and minimum load
resistance
R l max
R l min
941.18 Ω
47.06 Ω
Minimum inductance L min 0.692 mH
Minimum capacitance C min 17 µF
Smoothing capacitor C f 180 µF
For the modelling of PFC boosted converter,
MATLAB/SIMULINK software is applied. The model mainly
consists of DC-DC boost converter and PFC control circuit.
The Simulink models for designed system without PFC
control and with PFC control methods are shown in figure 7
and figure 8.

Fig. 7, DC-DC boost converter without PFC control method
Fig. 8, DC-DC boost converter with Hysteresis Control
based PFC Control Method
V. SIMULATION RESULTS FOR PFC BOOST
CONVERTER WITH HYSTEERESIS CONTROL
METHOD
To evaluate the performance of hysteresis control method
based PFC boost converter, the simulations are carried out
for DC-DC converter without PFC control and with PFC
control method. In both case, simulation time is set as 0.5
second and sampling time is 1 µsec.Themainmeasurements
are carried out for output DC voltage, input current, power
factor and total harmonic distortion of input current. The
simulation results are shown in following Figures.
Fig. 9, DC Output Voltage of boost converter without
control
Fig. 10, PF without PFC boost converter
Fig. 11, Input supply current waveform and FFT analysis
without PFC boost converter
Fig. 12, DC Output Voltage of boost converter with
hysteresis control
Fig. 13, Input Voltage and Input current of the rectifier
with hysteresis control
Fig. 14, PF with hysteresis control
Fig. 15, Input supply current waveform and FFT analysis
with hysteresis control

Comparative results of performance parameters for boost
converter without and with control method incorporated
from below TABLE II.
TABLE II COMPARATIVE RESULTS OF PERFORMANCE
PARAMETERS OF BOOST CONVERTER WITH VARIOUS
METHODS
Topology THD (%)
Power
Factor (PF)
Boost Converter
(without control method)
195.69% 0.8326
Hysteresis Control 1.09% 0.9968
VI. CONCLUSION
Design calculations of rectifier and boost converter and
simulation of PFC boost converter with hysteresis control
method by using MATLAB/SIMULINK are presented in this
paper. Various measurements consisting of THD and PF are
executed. The analysis of circuit with and without PFC boost
converter topology is shown. Without PFC boost converter
topology, there is a phase difference between input voltage
and current and moreover THD is very high. With PFC boost
topology, the harmonics distortion in the input current can
be removed; hence we can achieve the improvement of PF
and reduction of THD. The simulation results show that
hysteresis control offers power factor very closely to unity
and supply current THD is 1.09%.
ACKNOWLEDGMENT
The author is deeply gratitude to all her teachers from
Department of Electrical Power Engineering, Mandalay
Technological University, for the development of this paper.
Especially, the author would like to thanks her parents for
their help and encouragement and also thanks all her
friends.
REFERENCES
[1] Vijaya Vachak, Anula Khare, Amit Shrivatava, “Power
factor correction Circuit: Active Filter”, International
Journal of Engineering Research and General Science,
Volume2, Issue 5,August-September, 2014.
[2] Antonio P. Martins, Antonio M. Cardoso,“InputCurrent
Distortion and Output Voltage Regulation ofthePower
Factor Correction Boost Converter with Different
Control Techniques”, ICREPQ’12,28th to 30th March,
2012.
[3] A. Karaarslan, I. Iskender,“TheAnalysis ofAC-DC Boost
PFC Converter Based on Peak and Hysteresis Current
Control Techniques”, IJTPE, Volume 3, Issue 7, June
2011.
[4] Sukanta Kumar Sahoo, Hitesh R. Jariwala, “A New
Power Factor Correction Technique Using PFC Boost
Converter”, IEEE, 2012.
[5] Brijesha Patel, Jay Patel, Umang Wani, “A New Active
Power Factor Correction Controller Using Boost
Converter”, IJIRSET, Volume 5, Issue 5, May 2016.
[6] Santhosh Kumar R, Shreeshayana R, “Design and
Simulation Analysis of Power Factor Correction Using
Boost Converter with IC UC3854”, IJIREST, Volume 6,
Issue 5, May 2017.
[7] L. Rossetto, G. Spiazzi, P. Tenti, "ControlTechniques for
Power Factor Correction converters".

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