There will be about 6 assignments throughout
the course. Some assignments will require use of Matlab/Simulink.

The Problems are given assuming (2012) 2^{nd}
Edition of the textbook.

Assignment 1: Due
in class on Thursday, Jan. 23

Follow through Example 1A, and do Study Problem, SP1.2-2, SP1.2-4

Follow through Example 1B, and do Study Problems SP1.3-1, SP1.3-3

Follow through Example 1D, and do Study Problems SP1.5-2 and SP1.5-3.

Textbook Chapter 1 Problem(s): 3, 8, 9, 15, and 16.

Assignment 2: Due in class on Thursday, Feb. 6

Follow through Example 2A and 2B, and do
Study Problem: SP2.3-3

Textbook Chapter 2 Problem(s): 4, 7, 13,
14, 18, and 19.

Assignment 3: **Part 1:** (Two Parts) Due in class on Thursday, Feb. 27
(together with Lab-2 Reports)

**Part 1:**

Follow through Examples 3A, 3B and 3C. Do
Study Problems: SP3.4-1, SP3.4-2, and SP3.6-2.

Textbook Chapter 3 Problem(s): 1, 2, 7.

Additional Problems:

**Problem A:** Consider a 100V series DC motor. The motor consumes
100W at full load while operating at speed of 2000rpm when it is supplied from
nominal voltage of 100V.

The
armature and field winding resistances are: Ra = 2 Ohms and Rf = 1 Ohms, respectively.
Calculate the stall torque (or the maximum starting torque) of this motor.

**Problem B: **Develop the time-domain block diagram for
a series-connected dc machine. You will also need this for Part 2 of this
Assignment.

Assignment 3: **Part 2 (Simulink Model):**

Assignment 4

Stepper Motors: Due in class on Thursday, Mar. 5

Do Study Problem: SP9.2-2, SP9.3-1, SP9.3-2,
SP9.4-2, and SP9.6-1

Textbook Chapter 9 Problem(s): 1, 2, 5, and
8.

Assignment 5: Due in class on Thursday, Mar. 19

Synchronous Machines: Do Study Problems:
SP7.3-2, SP7.4-1, SP7.4-3. Also, do the examples 7B
and 7C (absolutely vital), and SP7.7-4.

Textbook Chapter 7 Problem(s) - 3, 9, 10, and
11.

Assignment 6 (2
parts): Due in class
on Tuesday, Apr. 7

**Assignment 6, Part 1:** Use the Matlab/Simulink and
develop a model of the 2-Phase Brushless PM Motor:

Vdc = 6 V (rater –
nominal voltage); Lms = 10.1e-3H; Lls = 0.1e-3H; Rs = 5.2 Ohms;

J = 2.12e-6; Dm = 6.04e-6 N*m*s; Lamda_m = 1.65e-2 V*s/rad;

Nominal load
torque: Tm = 3.53e-3 N*m;

Here are Simulink Model and Parameter File

Implement the
following study:

Start the
motor with zero initial conditions. At time t = 0.5 sec, apply the constant
nominal torque to the motor shaft. Use the step function **Step** that can be found under the **Sources** in the **Simulink ****Library**.

You should
observe the start-up transient followed by the response to the applied
mechanical load.

Change your
model such that it implements the 3-Phase Brushless PM Motor with otherwise the
same parameters, and repeat the study. You will need to use eq. (8.13-5) – (8.13-7)
to implement the correct phase voltages with 6-step waveforms.

Comment on
how similar/different this motor response to the Series and PM Brushed motors
modeled earlier.

**Assignment 6, Part 2:** Do Study Problem: SP6.2-2 and
SP6.2-3; SP6.8-4, and do the Example 6C (this will help you for the Lab-5!) and
Example 6D. Textbook Chapter
Problem(s): 15 and 21.

**Additional Problem:**

Consider a
25hp, 3-phase, Y-connected, 220V line-to-line, 60Hz Induction Motor NEMA* Type B. The motor operates at full nominal load and
the following is known: input electrical power *Pe,in*
= 20.8kW; output mechanical power *Pm,out* = 25
HP; stator phase current *Ias* = 64A (rms); motor shaft speed *n* = 830 rpm. Establish
and/or calculate the following:

a) Number of magnetic poles *P*

b) Actual electrical frequency of the rotor
currents *fr**
*(assuming stator frequency *fs = fe* is 60Hz)

c) Input power factor pf as seen by the source

d) Mechanical (load) torque *Tm*

e) Motor efficiency under the given load