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Transcript
SPEED CONTROL OF DC MOTOR USING COMBINED
ARMATURE AND FIELD CONTROL
Mustafa Aboelhassan
Doctoral Degree Programme (2), FEEC BUT
E-mail: [email protected]
Supervised by: Jiří Skalický
E-mail: [email protected]
ABSTRACT
The aim of this investigation is to describe the principle of DC motor speed control using
nonlinear combined control (armature voltage and field current). For the armature control
mode, the field current is held constant and an adjustable voltage is applied to the armature. In
the field control mode, the armature voltage is held constant and an adjustable voltage is
applied to the field. The mathematical model of a separately excited DC motor (SEDM) with
independent armature/filed control can be obtained by considering the electrical system,
electromagnetic interaction and mechanical system. Simulation models of DC motor speed
control methods and feedback control system for DC motor drives have been developed using
MATLAB/Simulink.
1. INTRODUCTION
DC motors consist of rotor-mounted windings (armature) and stationary windings (field
poles). In all DC motors, except permanent magnet brushless motors, current must be
conducted to the armature windings by passing current through carbon brushes that slide over
a set of copper surfaces called a commutator, which is mounted on the rotor.
The commutator bars are soldered to armature coils. The brush/commutator combination
makes a sliding switch that energizes particular portions of the armature, based on the
position of the rotor. This process creates north and south magnetic poles on the rotor that are
attracted to or repelled by north and south poles on the stator, which are formed by passing
direct current through the field windings. It's this magnetic attraction and repulsion that causes
the rotor to rotate.
The greatest advantage of DC motors may be speed control. Since speed is directly
proportional to armature voltage and inversely proportional to the magnetic flux produced by
the poles, adjusting the armature voltage and/or the field current will change the rotor speed.
Today, adjustable frequency drives can provide precise speed control for AC motors, but they
do so at the expense of power quality, as the solid-state switching devices in the drives
produce a rich harmonic spectrum. The DC motor has no adverse effects on power quality.
The dynamic behavior of the DC machine is mainly determined by the type of the connection
between the excitation winding and the armature winding including the commutation and
compensation winding:
 Separately excited DC machine: excitation and armature winding supplied at
separate voltages.
 Shunt DC machine: excitation and armature winding are connected in parallel (i.e.
fed by the same source).
 Series-wound machine: the excitation and the armature winding connected in series;
if the stator is laminated, series-wound machines can operate at AC current.
 Compound machine: This is a combination of shunt DC machine and series-wound
machine (both shunt and series winding are available).
In special cases shunt-, series-, and separate excitation can be combined
There are three methods of controlling the speed of the shunt and separately excited dc motor,
armature voltage speed control, field flux speed control and armature resistance speed conrol
(speed may be controlled by changing Ra).
2. VOLTAGE SPEED CONTROL OF A SEPARATELY EXCITED DC MOTOR
The field current, if, is constant (and hence the flux density B is constant), and the armature
voltage is varied. A constant field current is obtained by separately exciting the field from
a fixed dc source. The flux is produced by the field current, therefore, essentials constant.
Thus the torque is proportional only to the armature current.
3. FIELD SPEED CONTROL OF A SEPARATELY EXCITED DC MOTOR
We can also control the dc motor, that is vary its speed by varying the field flux. The method
of control is generally used when the motor has to run above its rated speed. To understand
the operation of field control suppose that the dc motor running at a constant speed. If the
field current is reduced by reducing the voltage across the field coil, the flux density will be
reduced. This will reduce the back emf instantaneously and will cause armature current to
increase resulting in the motor speed increasing. Consequently the back emf will increase and
a new equilibrium will be established at a higher speed. With field control one can achieve as
high a speed as five time the rated speed.
The armature current, ia, is kept constant and the flux density B is varied by varying if.
4. COMBINED ARMATURE AND FIELD CONTROL OF SEDM
The speed of a separately excited dc motor could be varied from zero to rated speed mainly by
varying armature voltage in the constant torque region. Whereas in the constant power region,
field flux should be reduced to achieve speed above the rated speed. Torque and limitations in
combined armature voltage and field control can be shown in figure 1.
Torque
Pm
Torque
Pm
Armature Voltage
Control
m
Field Control
rated
Speed
Fig. 1: Combined armature voltage and field current control
5. MODELING AND CONTROL OF SEDM USING MATLAB/SIMULINK
scope Ia
Scope ome
Armature Current
Step
0.04s+1
0.06s+1
40
0.02s
0.266s
0.00167s+1
PI - Controller (ome)
PI - Controller (ia)
Out1
Step TL
In1
Armature Current Limiter
Out1
Armature Converter
In1
In1
In2
Out1
Angular Velocity
Out2
Out3
Bach EMF Voltage
Out4
DC motor
Field Current
Limiter
all
370
Constant
1
0.001s+1
0.01s+1
0.4s
PI - Controller (E)
Out1
0.3s+1
0.003s
PI - Controller (ib)
18
Scope E
0.005s+1
Exciter Converter
Scope Ib
In1
Field Current Limiter
Fig. 2: Block diagram of combined armature voltage and field current control
Armature Current ia [A]
Field Current if [A]
100
4.5
4
50
3.5
3
0
2.5
2
-50
1.5
1
-100
0.5
-150
0
100
200
300
400
500
600
Time (Seconds)
700
800
900
1000
0
0
200
400
600
Time (Seconds)
a)
800
1000
1200
b)
Fig. 3: a) Step response of armature current b) Step response of field current
Back EMF voltage [V]
Angular Velocity ome[rad/sec]
500
250
400
200
300
150
200
100
100
50
0
0
-50
-100
0
200
400
600
Time (Seconds)
a)
800
1000
1200
-200
0
200
400
600
Time (seconds)
800
b)
Fig. 4: a) Angular velocity step response b) Back EMF voltage Step response
1000
1200
6. CONCLUSION
Non-linearity of the combined field and armature control system has been studied and carried
out using Matlab/Simulink. A DC motor drive for the armature and associated field winding
of the motor includes an armature feedback loop responsive to the current flow in the
armature, an input command signal such as a speed control signal, and the actual speed of the
armature for providing a control of the current supplied by a DC source means to the armature
to thereby provide speed control of the motor. A field feedback loop control is also provided
and includes means responsive to the voltage across the armature and to the line voltage
supplied to the armature for providing a control of the field intensity to assure that the back
EMF of the armature is always less than the available DC voltage supplied to the armature.
This dual feedback control provides for a faster response time of the armature throughout its
total speed range together with the feature of a constant torque for different speeds.
REFERENCES
[1]
Isaac, A., Victor, S.: Mathematical Modeling and Computer Simulation of a
Separately Excited dc Motor with Independent Armature/field control. In proc.
IEEE. Ind. Electron., vol. 37.
[2]
IEM RWTH, Institut Fur Elektrische Machinen, Lab electrical Power Engineering 1.
Operating behaviour of the DC machine.
[3]
John, J., Constantine, H., Stuart, N.: Linear Control System Analysis and Design
with MATLAB, CRC Press, 2003.
[4]
Michael A., Mohammad, H.: PID Control, New Identification and Design Methods
2006.
[5]
Mongkol, K.: Electric motor drive, lecure 4, KMUTT
[6]
Muhamad, Z.: Electrical machina, DC Motor-2
[7]
http://ecmweb.com/ops/electric_direct_current_motor/
[8]
Zuo L., Fang L., Muhammad H.: Speed Nonlinear Control of DC Motor Drive With
Field Weakening. IEEE. Ind. Applications., vol. 39. no 2, March/April 2003.