please, I need ASAP. I need it with details please Speed of DC motors is control

Question

please, I need ASAP. I need it with details please

Speed of DC motors is controlled by the applied voltage at their terminal. The DC-DC boost converters are mostly used to adjust the voltage at their terminals. The voltage of boost converters is adjusted by adjusting the PWM duty cycle of the switching transistor. This figure shows the duty cycle which needs to be adjusted by your controller. The objective is to keep the speed of the shaft at 1200 rpm while the load torque is changing. You need to disconnect the duty cycle control input block and replace it with your closed loop feedback controller. The simulation runs for 30 seconds. You need: Design a controller to keep the motor speed constant at 1200 rpm for entire 30 seconds. There should not be overshoot or undershoot of speed more than 10 rpm and settling time should be less than 5 seconds. The loads are applied in intervals of 5 seconds. Discuss why you selected the controller you have and what benefits it brings. Show that the voltage is adjusted properly according to the load. Measure the electric power delivery to the motor for entire 30 seconds. Write a professional report and document your work, insert clear high quality figures that shows you have achieved the control performance required.

Explanation / Answer

Power factor improvement of a boost converter
supplying a DC motor
A. A. Khalil H. A. Ashour Y. G. Desoki
akhalil@aast.edu hashour@eng.aast.edu ygd@aast.edu
Arab Academy for science & Technology and Mritime Transport
Department of Electrical and Control Eng.
Abstract
A study of boost-converter circuit utilized to drive a DC motor
as a load while improving the supply power factor is
demonstrated through this paper. A computer simulation of the
proposed circuit has been assessed using simulink under matlab
version (6) to show circuit behavior for different operation
modes: speed and voltage control. Experimental investigation
has been carried out to analyze the effect of circuit parameter
variations on the motor response.
Keywords: boost-converters, power factor correction
1 Introduction
The growing number of power electronic-based equipment,
both in the industrial and domestic sectors, tends to have
undesirable impacts on the quality of distribution and line
voltage networks. Single-phase dc power supplies usually
composed of a diode rectifier with capacitor filter. This circuit
generates a pulsed current with high harmonic content. To
reduce the harmonic distortion several methods are widely
used active power filter (APF), power factor correction
systems (PFC), various boost topologies and others [1-3]. The
boost topology is usually accomplished by inserting a boost
converter between the rectifier and the filtering stage. With
proper control, the boost converter permits to absorb a
sinusoidal line current in phase with the supply voltage.
Generally the control of the boost converter is made up of two
loops [4-11]:
- Current loop which compares the input current to the
reference current. This reference is often made
proportional to the input voltage.
- Voltage loop which regulates the output voltage to
the desired reference voltage by adjusting magnitude of
the reference current.
Simulation results achieved using Matlab-Simulink software
are presented. Simulation results show the effectiveness of the
proposed setup to improve the system power factor while
delivering a constant output voltage.
2 Circuit Operation principle
Circuit configuration of a boost-converter DC drive is shown
in fig(1). An AC supply is applied to an uncontrolled bridge
rectifier containing four diodes to supply the chopper circuit
with a full-wave rectified voltage Vs. The circuit has two
modes of operation depending on the chopper switch (SW)
condition, as shown in fig(2) and fig(3). When the chopper
switch is turned on, the rectified voltage (Vs ) supplies the
inductor (L) with energy. Therefore when the chopper switch
is turned off, the energy is transferred from both the input
voltage and the inductor to supply the capacitor (C) and
the DC motor. In case of the chopper switch is turned
on, the diode (D) is reverse biased hence the motor is
supplied from the energy stored in the capacitor .
Fig (1) Circuit diagram of a Dc motor drive.
Fig (2) Circuit diagram when the switch is on
system equations when the chopper switch is turned on
could be given as:
=
=
=
i dt
c
vm 1
i c i m
dt
di s
v s L
c
Fig.(3) Circuit diagram when the switch is off
(1)
(2)
(3)
DC Motor
DC Motor
DC Motor
63
And when the switch is turned off the system equations could
be written as:
=
+ =
= +
i c dt
c
1
v m
i c i m i s
v m
dt
v s L di s
3 Simulation analysis of the boost-converter
The computer simulation of the boost-converter DC motor
drive system has been carried out using Simulink under
matlab version (6), where the power cicuit diagram is
illustrated in fig(4).
Fig(4) Simulink circuit diagram of the open-loop system
A pulse generator with 50 Hz frequency and 50% duty cycle
ratio is applied to control the chopper switch. The simulation
was carried out with the following parameters: a load torque
of 1 N.m, a capacitance of 150F, an inductance of 0.184 H, a
supply voltage 150V and a filed voltage of 150V. The Switch
gate signal, motor speed, motor torque, motor current and
motor voltage are shown in fig(5).
(a) MOSFET gate Signal
(b) Motor speed
(c) Motor torque
(d) Motor current
(e) Motor voltage
Fig(5) Simulation waveforms of the boost converter.
4 Simulation results of the power factor correction
The computer simulation of the boost converter DC motor
drive in closed-loop control mode to improve the supply
power factor was carried out using Simulink under Matlab
version (6). The model of the system enables a close look at
the system response while circuit parameters were adjusted
to obtain adequate results.
4.1 Closed-loop motor voltage control
The power circuit diagram of a boost-converter DC motor
drive is shown in fig(6-a), and the chopper switch control
circuit is illustrated in fig(6-b)..
(4)
(5)
(6)
64
(a) Boost-converter power circuit.
(b) Chopper switch control circuit.
Fig(6) Closed-loop armature voltage control
The motor armature voltage feedback signal (vm) is compared
with a command voltage signal (Vref) of 225 volt then
multiplied by the rectified sinusoidal voltage Vs. A PI
controller is used to control the voltage error signal.
Therefore, the controller output is compared with the rectifier
output current (Is) and the current error signal is applied to a
PWM circuit with 20KHz frequency to drive the chopper
switch. The objective of this converter is to control the
voltage applied to the DC motor while improving the system
power factor by controlling the supply current waveforms to
be nearly as the input supply voltage. Fig(7-a) shows the
motor armature voltage response which satisfies the
command input voltage of 225 volt. The source voltage and
current response with improved power factor is also shown in
fig(7-b).
(a)
(b)
Fig(7) (a) Motor armature voltage response.
(b) (----) Source voltage, and ( ___ ) current.
4.2 Closed-loop motor speed control
The objective here is to control motor speed with improving
supply power factor.
(a) Boost-converter power circuit.
(b) Chopper switch control circuit.
Fig(8) Closed-loop speed control.
As shown in fig(8), the motor speed feedback signal is
compared with a command speed signal(wref) then
multiplied by the rectified sinusoidal voltage Vs. A PI
controller is used to control the speed error signal.
Therefore, the controller output is compared with the
rectifier output current (Is) and the current error signal is
applied to a 20 kHz PWM circuit to drive the chopper
switch. Fig(9-a) shows the motor speed response which
satisfies the command speed signal. The source voltage and
current response with improved power factor is also shown
in fig(9-b).
65
(a)
(b)
Fig(9) (a) Motor speed response.
(b) (----) Source voltage, and (___ ) current.
5 Experimental Investigation
The experimental control circuit of the chopper switch is
shown in fig(10). A voltage transformer is used to step down
the AC voltage source from 220V to 6V, which is then
connected to the input terminals of an uncontrolled bridge
rectifier. This rectified signal is compared using an LM311
comparator with a variable DC voltage using a variable
resistance to produce the control signal applied to the gate
drive circuit of the boost-converter chopper switch
(MOSFET). The analysis curves which represents motor
current, load torque, and motor voltage versus motor speed at
different operating conditions such as duty cycle, inductance
and capacitance variations, were drawn from the experimental
results.
Fig.(10) Experimental Chopper control circuit
5.1 Effect of variable duty cycle ratio.
The supply voltage was adjusted to 150V & the motor field
voltage to150V. The experimental investigation of the motor
armature voltage, armature current and motor load torque was
carried out for different duty cycle ratio of the chopper.
The voltage across the load can be controlled by varying
the duty cycle ratio (K). The minimum value of the motor
voltage that can be obtained when the duty cycle ratio
(K=0). The capacitance value is 150F and the inductance
value is 0.184 H.
90
110
130
150
170
190
210
450 950
speed (r.p.m.)
voltage (V)
K=0.6
K=0.4
K=0.2
K=0
Fig (11) Voltage-speed curve
Fig (11) shows a directly proportional relation between the
motor voltage and the speed of the machine. For a zero
value of duty cycle ratio (K=0) The armature voltage is at
its smallest value so, the rated speed cannot be achieved.
0
0.5
1
1.5
2
2.5
450 950 1450
speed (r.p.m.)
current (A)
K=0.6
K=0.4
K=0.2
K=0
Fig.(12) Current-speed curve
Fig.(12) shows an increase in motor current with an
increase of duty cycle ratio, thus improving the
performance of the motor. The armature current value at
starting is the same for all values of duty cycle ratios; for
lower values of duty cycle ratio the current slope is much
sharper.
0
0.5
1
1.5
2
2.5
3
450 950 1450
speed (r.p.m.)
torque (N.M)
K=0.6
K=0.4
K=0.2
K=0
Fig.(13) Torque-speed curve.
An inversely proportional relation between the motor
torque and speed is noted from fig.(13). For a fixed speed
value the torque curve is pushed upwards with an increase
66
in the duty cycle ratio. However, it could be concluded that
the effect of increasing the duty cycle ratio is equivalent to
increasing the armature voltage in the conventional drive.
5.2 Effect of inductance variation
At a fixed duty cycle ratio (K=0.4) and capacitance value is
150F.The experiment was done using two values of the
Inductance: L1=0.184 H, L2=0.368 H. The armature voltage,
armature current, and load torque versus motor speed are
shown in fig(14), fig(15) and fig(16) respectively.
K=0.4
50
100
150
200
250
450 950 1450
speed (r.p.m.)
voltage (V)
L=0.184 H
L=0.368 H
Fig .(14) Voltage-Speed curve
K=0.4
0
2
4
6
8
450 950 1450
speed (r.p.m.)
current (A)
L=0.184 H
L=0.368 H
Fig.(15) Current-Speed curve
K=0.4
0
2
4
6
8
450 950 1450
speed (r.p.m.)
torque (N.M)
L=0.184 H
L=0.368 H
Fig.(16) Torque-Speed curves
From fig(14) it can be seen that the variation of the
inductance does not much affect the voltage and speed values.
The armature current increase with the increase in the
inductance value as shown in fig(15). Increasing the
Inductance will result in an increase of the torque as
illustrated in fig(16) at the same speed level. This could be
considered a method to provide a higher torque for heavy
loads. It could be concluded that the effect of increasing the
inductance is equivalent to increasing the armature voltage
in the conventional drive.
5.3 Effect of capacitance variation
At a fixed duty cycle ratio (K=0.4) and the inductance value
is 0.184H with two capacitance values C1=150F,
C2=60F. The armature voltage, armature current, and load
torque versus motor speed are shown in fig(17), fig(18) and
fig(19) respectively.
K=0.4
50
100
150
200
250
450 950 1450
speed (r.p.m.)
voltage (V)
C=150E-6 F
C=60E-6 F
Fig.(17) Voltage-Speed curves
The variation of the Capacitance value will neither affect
the voltage nor the speed of the motor as shown in fig(17).
K=0.4
0
0.5
1
1.5
2
2.5
3
450 950 1450
speed (r.p.m.)
current (A)
C=150E-6 F
C=60E-6 F
Fig.(18) Current-Speed curve
Decreasing the Capacitance will result in an increase of the
armature current as shown in Fig.(18).
K=0.4
0
0.5
1
1.5
2
2.5
3
450 950 1450
speed (r.p.m.)
torque (N.M)
C=150E-6 F
C=60E-6 F
Fig.(19) Torque-Speed curves
Increasing the Capacitance will slightly shift the torque
speed curve upwards as shown in Fig.(19). Similarly here,
it could be concluded that, the effect of increasing the
capacitance is equivalent to decreasing the armature voltage
in the conventional drive.
67
6 Conclusion
Simulink under Matlab version (6) has been used to simulate
a boost-converter driving a DC motor as a load while
improving the supply power factor. Effect of boost-converter
parameter variations, such as duty cycle, inductance and
capacitance on the motor voltage, current and speed have
been experimentally studied. Simulation results validate the
use of the boost-converter to drive the DC motor with
improving power factor in both speed and voltage control
modes.
7 References
[1] J. Dixon and B. T. Ooi, “Indirect current control of a
unity power factor sinusoidal boost type 3 phase rectifier,”
IEEE Trans. Ind. Electron., vol. 35, Nov. 1988.
[2] E. Wernekinck, A. Kawamura, and R. Hoft, “A high
frequency ac/dc converter with unity power factor and
minimum harmonic distortion,” IEEE Trans. Power Electron.,
vol. 6, Jully. 1991.
[3] Karel Jezernik, “VSS control of unity power factor”, IEEE
Trans. Ind. Electron.,, vol. 46, April 1999.
[4] Alexander E. Emanuel and Kalyan K. Sen, “Steady-State
Performance of the DC Motor Supplied from Single-Phase
Rectifier with Step-Up Converter. A Unity Power Factor
Converter”, IEEE Trans. on Energy Conversion, Vol. 3, No.
1, March 1988.
[5] Simone Buso, Paolo Mattavelli, Leopoldo Rossetto, and
Giorgio Spazzi, “Simple Digital Control Improving Dynamic
Performance of Power Factor Preregulators”, IEEE Trans. on
Power Electronics, Vol. 13, No. 5, Septemper 1998.
[6] Ahmed A. Elwogoud, “Single Phase Unity Power Factor
Rectifier”, M.sc. Thesis, Alexandria University, Novamber
1998.
[7] Sam Ben-Yaakov, and Ilya Zelter, “The Dynamics of a
PWM Boost Converter With Resistive Input”, IEEE Trans. on
Industrial Electronics, Vol. 46, No. 3, June 1999.
[8] Jee-Woo Lim and Bong-Hwan Kwon,”A Power-Factor
Controller for Single-Phase PWM Rectifiers”, IEEE Trans. on
Industrial Electronics, Vol. 46, No. 5, October 1999.
[9] Atsushi Nakajima, Shin-ichi Motegl and Akeshi Maeda, “
Comparison of the Characteristics between Buck and Buck-
Boost High-Power-Factor Converters with Pulse-Space-
Modulation”, IEEE IECON ’99 Conference.
[10] J.Ch. Le Bunetel, and M. Machmoum, “Control of Boost
Unity Power Factor Correction Systems”, IEEE IECON ’99
Conference.
[11] Jun-ichi Itoh and Kouetsu Fujita, “Novel Unity Power
Factor Circuits Using Zero-Vector Control for Single-Phase
Input Systems”, IEEE Trans. on Power Electronics, Vol. 15,
No. 1, January 2000.

Related Questions

Navigate

• Browse (All)
• Browse P
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.