Electrical Machine Analysis & Control (3 credits)

Course Description

This course deals with developing dynamic models for electromechanical systems, especially rotating machines. The scope of using such models to develop high performance control schemes for the machines will be discussed.

Prerequisites

• Electrical Machines (EE2200) or equivalent

• Basic understanding of differential equations and matrix theory

Topics that will be discussed

• Review of magnetostatics and introduction to simple electromechanical systems

  • Magnetostatics fundamentals – Coupled linear magnetic circuits – Modeling simple linear motion electromechanical systems – Cylindrical motion electromechanical systems – Multiply excited electromechanical systems – Nonlinear magnetic systems – Energy and Co-energy methods – Elementary ac motor – Simulation methods – General considerations on modeling and simulating electric machines in Simulink

• Modeling Three-phase induction machines

  • Distributed windings – Inductance of a distributed winding – Three phase distributed windings – Mutual inductances of three phase distributed windings – Three phase induction machine – Stator to rotor mutual inductances – Air gap mmf – Voltage and flux linkage equations in phase variables – MMF equivalence and change of variables – Amplitude invariant and Power Invariant Transformations – Machine model in stationary frame – Transforming to rotor reference frame – Machine model in arbitrary rotating reference frame – Equations in special rotating reference frames – Space vector notations – Model using space vectors – Generalised model for system of coils – Turns ratio transformations – Γ and inverse Γ models – Electrical transients at constant speed – The constant speed eigenvalues – Sudden short circuit of unloaded induction motor

• Modeling Three-phase synchronous machines

  • Salient pole wound field synchronous machines – Air gap permeance function – Inductances in salient pole machines – Model in phase variables – Transformation to stationary frame – Model in sychronous rotating reference frame – Effect of damper windings – d and q-axis equivalent circuits – Machine equations in operational impedances – open circuit and short circuit time constants – Modeling the sudden short circuit behaviour of an unloaded alternator – Permanent Magnet Characteristics – Permanent magnet synchronous machine – IPMSM models in stationary and rotating reference frames – Surface mount PMSM model – Modeling trapezoidal back-emf machines

Textbook

• P. C. Krause. Analysis of Electric Machinery and Drive Systems. Wiley, 2013.

Grading

• Assignments: 40%

• Midterm exam: 20%

• Final exam: 40%