ECE 330

• Power and Energy Systems

Credit is not given toward graduate degrees in Electrical and Computer Engineering.

To provide an introduction to three phase circuits, transformers, and electromechanical systems with emphasis on analysis and some design insight.

• Complex and reactive power in single- and three-phase circuits (6 hrs)
• Magnetic circuits and transformers (6 hrs)
• Energy conversion principles (6 hrs)
• Electromechanical systems (6 hrs)
• Synchronous machines (6 hrs)
• Induction machines (6 hrs)
• DC and single-phase machines (6 hrs)
• Power Electronics
• Distributed Energy Resources

To provide an introduction to three phase circuits, transformers, and electromechanical systems with emphasis on analysis and some design insight.

Topics:

• Complex and reactive power in single- and three-phase circuits (8 hrs)
• Magnetic circuits and transformers (8 hrs)
• Energy conversion principles (8 hrs)
• Electromechanical systems (6 hrs)
• Synchronous machines (6 hrs)
• Induction machines (6 hrs)
• Power Electronics
• Distributed Energy Resources

Credit is not given toward graduate degrees in Electrical and Computer Engineering.

One homework problem in numerical solution of power circuits and electromechanical systems.

• Basic circuit analysis
• Maxwell's equations
• Differential equations

Power Circuits and Electromechanics, 2nd Edition by K.R. Davis & M.A. Pai
Dept. of Electrical and Computer Engineering
Texas A&M University
University of Illinois

Copyright 2022, K.R. Davis & M.A. Pai, with contributions from P.W. Sauer
Published by Stipes Publishing L.L.C.
www.stipes.com

Engineering Science: 90%
Engineering Design: 10%

This is one of the technical electives (3 out of 5) in the EE curriculum. The goals are to impart basics of three phase power circuits, transformers and electromechanical systems with an emphasis on rotating machines. This addresses the ECE department Program Educational Objectives to provide depth, breadth, and learning environment.

A. At the end of three weeks of classes the students should be able to analyze single and three phase sinusoidal balanced circuits (1, 7). This includes being knowledgeable in the following topics:

• Phasors; r.m.s. values; peak values; phase angle
• power factor (leading (capacitive) or lagging (inductive))
• complex power; real and reactive power; lagging and leading power factor
• apparent power (volt amps); rated VA; rated volts; rated amps
• use of phasors to calculate all complex power variables
• conservation of complex power
• Y and D connections; line and phase voltages and currents for Y and D connections
• Y-D transformation (balanced only); power in 3-phase circuit, per phase calculations
• Improvement of power factor

B. At the end of six weeks of classes, the students should be able to analyze magnetic circuits (1, 2, 7). This includes being knowledgeable in the following topics:

• flux (f), magneto-motive force (MMF) (Ni); reluctance (Â)
• calculation of fluxes; flux linkages and inductances (self and mutual)
• coefficient of coupling for coupled coils; polarity dot marking; coupled coil equations
• ideal transformers; transformer equivalent circuits
• current, voltage and impedance relations for transformers
• losses in transformers; efficiency,
• approximate transformer equivalent circuits; voltage regulation
• open and short circuit tests to determine transformer parameters

C. At the end of nine weeks of classes, the students should understand basic principles of electromechanical energy conversion, compute forces and torques of electric origin in magnetic devices such as relays, transducers etc. (1, 6, 7). This includes being knowledgeable in the following topics:

• flux linkage (self and mutual); use of magnetic circuits to calculate flux linkages
• calculation of energy W_m (path of integration); use of energy to calculate f^e
• use of energy to calculate T^e; calculation of co-energy
• calculation of co-energy (paths and integration)
• f^e and T^e using co-energy (single and multiple terminal pair systems)
• dynamics of lumped mechanical systems

D. At the end of twelve weeks of classes, the students should be able to Simulate numerically simple electromechanical systems and find the stability of the equilibria. (1, 7). This includes being knowledgeable in the following topics:

• nonlinear dynamic model; static equilibrium points
• dynamic equations of motion; graphical method of computing equilibrium points
• state space formulation
• Euler’s method to integrate non-linear differential equations (numerical)
• linearization of dynamic equations and stability of static equilibrium points

E. By the end of the semester the student should be able to analyze the basic steady-state operation of synchronous machines, induction machines and DC machines (1, 2, 6). This includes being knowledgeable in the following topics:

• form of flux linkages; calculation of torque,
• per-phase equivalent circuit; power relations; motor and generator operation
• multiple pole machines-speed of operation
• power and efficiency calculations; torque-speed curves