lab instructions ees 612 electrical machines and actuators ...jkoch/courses/ees612... · 3...
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Faculty of Engineering, Architecture and Science
Department of Electrical and Computer Engineering
LAB INSTRUCTIONS
EES 612 – Electrical Machines and Actuators
Experiment # 4: DC Motor Control
1. Introduction
Pulse-Width Modulation (PWM) is the most widely used method for controlling electric
machines of DC or AC type. A few typical applications include: 1) speed control of vehicles,
elevators and escalators, hoist and conveyors, and pumps and fans; 2) motion control of disc
drive heads, robot arms, surgical tools, and machine tools; 3) current control of electromagnets
and other static loads, and 4) illumination control of displays and monitors.
The PWM method relies on periodic, intermittent (on-off), connection of the load to the power
source. If the mentioned switching process is exercised fast enough, that is, if the switching
period is sufficiently small, then an inertial load responds only to the average of the pulsating
voltage and not to its fluctuations. Moreover, the average voltage can be controlled by the ratio of
the “on time” to the switching period . The ratio, , is known as the “duty ratio” or
“duty cycle”. Electronic semiconductor switches are employed due to their ease of control, high
on/off speed, and long lifespan. This experiment is concerned with the PWM technique and its
enabling solid-state hardware.
2. Pre-lab Assignment
2.1) For the H-bridge converter of Fig. 2.1, draw the missing waveforms in Fig. 2.2 and explain
whether the switching process illustrated by Fig. 2.2 corresponds to a half- or to a full-bridge
operation. Then derive an expression for the average of the load voltage , as a function
of .
Fig. 2.1. H-Bridge Converter.
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Fig. 2.2. A possible switching scenario for the H-bridge converter.
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2.2) Now draw the missing waveforms of Fig. 2.3 and explain whether they correspond to a half-
bridge operation or to a full-bridge operation. Then, derive an expression for the average of the
load voltage as a function of .
Fig 2.3. Another possible switching scenario for the H-bridge converter.
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3. Lab Work
General Safety Note
To prevent injury to persons or damage to equipment, the power source must be turned
OFF prior to the completion (or change) of any circuit connections.
Equipment
L298 H-Bridge Driver Module (hereinafter, referred in this document to as the “H-
Bridge Box”)
Bench-top power supply
Function generator
4-channel oscilloscope
55- inductor
15- Resistor
Digital multimeter
Tachometer
Experiments
3.1. Half-bridge energization of a resistive load
3.1.1) Connect the power supply to the terminals +12V and COM- on the rear panel of the H-
bridge box. Observe the polarities.
3.1.2) Connect the electrical terminals VA and VB of the H-bridge box to the terminals of the
15- resistor. The resistor will act as the load in this experiment.
3.1.3) Set the toggle switches of the H-bridge box as per Table 3.1.1.
Table 3.1.1. Toggle switch positions for Experiment 3.1.
Toggle Switch Position
1 HB CW/HB CCW HB CW
2 Full/Half Half
3 Brake/Run Brake
3.1.4) Connect the TTL pulse output of the function generator to the BNC of the H-bridge
box.
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3.1.5) Connect the oscilloscope channels to the other BNCs of the H-bridge box, according to
Table 3.1.2 below. This is to monitor the signals , , , and , as labeled on the
schematic diagram below:
Fig. 3.1.1. H-Bridge Converter.
Table 3.1.2. Signals to be monitored in Experiment 3.1.
Signal BNC Oscilloscope Channel
1 g1 Ch1
2 VA Ch2
3 VB Ch3
4 IL Ch4
3.1.6) Turn on the power supply and set its output voltage to 15 V. This results in
for the H-bridge converter of Fig. 3.1.1.
3.1.7) Set the oscilloscope channels Ch1-Ch4 to the DC coupling mode and the oscilloscope
trigger to Source 1. Turn on the function generator and set its frequency range to 100
kHz and its waveform to Square. Monitor the waveform (i.e., Ch1 of the
oscilloscope). Set the switching frequency and duty ratio to and ,
respectively. Note that these two parameters correspond to a 5-kHz even-symmetrical
pulse train for .
3.1.8) Change the switch Brake/Run from “Brake” position to “Run” position and, using the
oscilloscope, monitor and plot on Fig. 3.1.2 the waveforms , , for two
periods. To monitor , utilize the mathematical functionalities of the
oscilloscope.
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Fig. 3.1.2. Load voltage waveform for a duty ratio of 50%.
3.1.9) Maintain the frequency, but change the duty ratio in steps of 0.1, according to Table
3.1.3. Using the multimeter, measure the corresponding DC (average) and AC voltages
that drop across the resistor, and complete Table 3.1.3. To change the duty cycle, press
down the SYMMETRY button on the function generator and then adjust the
CENTER CAL SYMMETRY knob to obtain the desired duty ratio.
Table 3.1.3. Resistor voltage versus duty ratio, for .
0.2 0.3 0.4 0.5 0.6 0.7 0.8
DC voltage across
the resistor
AC voltage across
the resistor
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3.1.10) Turn off the function generator and the power supply. Change the switch Brake/Run
from “Run” position to “Brake” position.
3.2. Half-bridge energization of a resistive-inductive (RL) load with a high switching
frequency
3.2.1) Repeat Experiment 3.2, but for . Reflect the results on Fig. 3.2.1 and Table
3.2.1.
Fig 3.2.1. Load voltage waveform for a duty ratio of 50%, for .
Table 3.2.1. Resistor voltage versus duty ratio for the RL load and .
0.2 0.3 0.4 0.5 0.6 0.7 0.8
DC voltage across
the resistor
AC voltage across
the resistor
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3.2.2) Change the switch Brake/Run from “Run” position to “Brake” position.
3.3. Full-bridge energization of a resistive-inductive (RL) load
For this experiment, the test setup is the same as that in Experiment 3.3. Also, monitoring Ch1 of
the oscilloscope, set the switching frequency to . However, in contrast to Experiment
3.3, leave the Full/Half toggle switch at “Full” position.
3.3.1) Change the switch Brake/Run from “Brake” position to “Run” position, and monitor
the waveform , , for at least two periods, for , , and
. For the three aforementioned values of duty cycle, plot the corresponding set
of waveforms on Fig. 3.3.1, Fig. 3.3.2, and Fig. 3.3.3, respectively.
Fig. 3.3.1. Load voltage waveform for a duty ratio of 20%.
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Fig. 3.3.2. Load voltage waveform for a duty ratio of 50%.
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Fig. 3.3.3. Load voltage waveform for a duty ratio of 80%.
3.3.2) Maintain the frequency, but change the duty ratio in steps of 0.1, according to Table
3.3.1. Use the multimeter and measure the corresponding DC (average) and AC
voltages that drop across the resistor; complete Table 3.3.1.
Table 3.3.1. Resistor voltage versus duty ratio, for .
0.2 0.3 0.4 0.5 0.6 0.7 0.8
DC voltage across
the resistor
AC voltage across
the resistor
3.3.3) Turn off the function generator and the power supply. Change the switch Brake/Run from
“Run” position to “Brake” position.
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3.4. Full-bridge energization of a DC motor
For this experiment, the test setup is the same as that in Experiment 3.3, with the exception that
the RL load is replaced with a DC motor.
The DC motor is a part of the H-bridge box, and its shaft has protruded out of the front panel of
the H-bridge box. To energize the motor, connect by short wires the electrical terminals VA and
VB to the electric terminals MTR+ and MTR-, respectively.
3.4.1) Turn on the power supply and the function generator. Change the switch Brake/Run
from “Brake” position to “Run” position, and monitor the waveforms ,
, for at least two periods, for , , and . For the three
aforementioned values of duty cycle, plot the corresponding set of waveforms on Fig.
3.4.1, Fig. 3.4.2, and Fig. 3.4.3, respectively.
Fig. 3.4.1. DC motor armature voltage waveform, for a duty ratio of 20%.
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Fig. 3.4.2. DC motor armature voltage waveform, for a duty ratio of 50%.
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Fig. 3.4.3. DC motor armature voltage waveform, for a duty ratio of 80%.
3.4.2) Slowly change the duty ratio from its minimum (of approximately zero) to its
maximum (of approximately unity) and observe that:
a) The motor stops at .
b) The direction of rotation is different for the values of larger than compared
to those smaller than .
c) The motor runs faster (irrespective of direction) as differs more from .
3.4.3) Change the duty ratio in steps of and, using the tachometer, measure the
corresponding shaft speeds. Complete Table 3.4.1.
Table 3.4.1. DC motor speed versus duty ratio.
0.2 0.3 0.4 0.5 0.6 0.7 0.8
motor speed in
rpm
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3.4.4) With the duty ratio set at (or, alternatively, at ), corresponding to a fast
rotation, change the Brake/Run switch to the “Brake” position, observe the response
of the dc motor. Repeat the experiment disconnecting the positive terminal from the dc
motor and compare the result with the first experiment. Explain the difference.
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4. Conclusions and Remarks
4.1) Comment on the AC and DC voltage measurements reported in the Tables 3.1.3, 3.2.1 and
3.3.1.
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4.2) Compare the DC voltage measurements you reported in Tables 3.2.1 and 3.3.1 with the
values that their formulas (that you derived in the Pre-Lab part) predict. Provide reasons for the
discrepancies.
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4.3) Comment on the measurements of Table 3.4.1.
Design of experiment and development of manual: A. Yazdani
Design and development of equipment: A. Yazdani and J. Koch
Last Updated May 1, 2015—RO