Description
Analysis and Modeling of a Wound Field DC Machine and Drive
The consulting company that you are working for has been hired by an industrial manufacturer which
has used DC motors for the past 100 years. This company is not interested in changing their motor
technology, and has asked you to analyze/simulate the performance of these machines in new
applications. They have selected the two motors from Lenze, one small machine (1 kW) and one large
machine (90.8 kW). The data for each motor is given in the appendix.
Selected Motors:
Lenze Motor MGFQK 063-32 – 1 kW MGFQK 160-22 – 90.8 Kw
In order to evaluate the performance of the motors, you will look at the following properties:
1. Speed vs. Torque Curves (that you generate from the given data)
2. Start-up Transient Behavior with Ideal Voltage Source
a. Eigenvalue Analysis
b. Step Response
3. Compare the behavior of the DC Motor with a PWM DC Drive to the analysis above.
To do:
a. Develop the analytical speed vs. torque curves for both motors (speed on the y-axis).
b. Assume the field current is initially at its rated value and apply a step (zero to rated
voltage) to the armature. Using an ideal voltage source, simulate the following
conditions:
Lenze Motor MGFQK 063-32 – 1 kW MGFQK 160-22 – 90.8 Kw
Armature Voltage 170V 460V
Load Torque – case 1 0.1 Nm 1 Nm
Load Torque – case 2 7 Nm 300 Nm
Simulate:
i. The armature current
ii. The speed of the motor
iii. The electromagnetic torque
c. Calculate the eigenvalues of each motor. Does the step response yield the expected
shape?
d. Using a PWM controlled H-bridge inverter, simulate the motor operation at the
conditions of part b and compare.
Simulate:
i. An H-bridge inverter with a bus voltage of 680Vdc.
ii. Control the inverter using pulse width modulation to achieve the required
armature voltage for each motor.
iii. Plot the steady state speed and armature current.
iv. Does the speed and current correspond with the analysis above?
EE 56 – Electric Machines and Drives Prof. N.J. Nagel
Homework #1 –
Page 2
ia
if
field winding
armature winding
stator
Hand in:
1. Appropriately detailed discussion of important results and comparative findings not to exceed
4 pages. Use appendices for derivations, these are not counted toward the limit.
2. Include plots detailing the analysis and simulation.
3. Your PLECS model.
Motor I
Assume a field inductance of 15 mH and a motor damping 10−4 𝑁∙𝑚
𝑟𝑎𝑑
𝑠𝑒𝑐 ⁄
EE 56 – Electric Machines and Drives Prof. N.J. Nagel
Homework #1
Page 3
ia
if
field winding
armature winding
stator
Motor II
Assume a field inductance of 150 mH and a motor damping 10−3 𝑁∙𝑚
𝑟𝑎𝑑
𝑠𝑒𝑐 ⁄