**ECE 1041 Numerical Solution of Field Problems**

Introduction to the general method of moments. Numerical solution of the electrostatic capacitance problem and the wire antenna problem by Harrington´s moment method. Finite element and finite difference solution of Laplace´s, Poisson´s and Helmholtz´s equations. Application to bounded electrostatic, magnetostatic and homogeneous waveguide and cavity problems. Eddy current and skin effect problems; finite element solution of the diffusion equation in one and two dimensions. Relationship between field and circuit quantities. This course requires a basic background in computer programming.

**ECE 1042 High-Voltage Engineering**

An introductory course on high voltage engineering principles and techniques. Computational methods related to quasi-stationary electric fields in complex geometries. Generation and measurement of basic voltage forms employed in high voltage engineering, and their relevance to high voltage design. This course requires a basic background in fields and waves and circuit theory.

**ECE 1049 Special Topics in Power Devices and Systems**

Power Networks

**ECE 1055 Dynamics of HVdc/ac Transmission Systems**

General aspects of high voltage ac/dc systems, principles of HVdc systems, HVdc control, harmonics and filters. Small-signal dynamics of HVdc/ac systems and eigen analysis, subsynchronous oscillations, interarea oscillations, harmonic instability. Large-signal dynamics in HVdc/ac systems. Introduction to the EMTP and the EMTDC software packages for the analysis and design of HVdc/ac systems. Introduction to multi-terminal HVdc systems. A basic background in power system analysis is strongly recommended.

**ECE 1059 Special Topics in Power Systems: Overvoltages and Insulation Co-ordination**

**ECE 1063 Application of Power Devices**

Safe operating requirements for GTO´s, SCR´s BIPOLAR, MOSFET, IGBT, cascode switches power diodes, high voltage tubes and surge arrestors. Base drive circuits for power devices. Protection of power devices. Illustrative design process for the selection and protection of power devices. This course requires a basic background in circuit theory and electronic circuits.

**ECE 1065 Space Vector Theory & Control**

The course presents the general theory of dynamic modelling and control of the voltage source converter using space vectors. Applications include custom power controllers, FACTS (flexible AC Transmission Systems) controllers, VSC based HVDC systems and motor drives. Co-ordinate transforms necessary for the analysis of these devices are presented: space vectors, synchronous reference frame quantities, complex Fourier components and their relations. Converter controls are developed using both continuous time and discrete time space vector control concepts. In addition, state space modelling methods are employed for the study of interactions between a dc/ac converter and the network. The course typically includes an extensive laboratory component. Prerequisite: ECE 533 or equivalent, or instructor approval.

**ECE 1066 Design of High-Frequency Switch-Mode Power Supplies I (Advanced Control Techniques)**

Design, analysis, and practical implementation of advanced controllers for high-frequency switch-mode power supplies (SMPS) are covered. The topics include: continuous and discrete time modeling of switching converters; current-program mode control, power factor correction rectifiers; practical implementation of analog and digital controllers. The course also has a laboratory portion, where a high-frequency switching converter and its controller are designed and fabricated.

**ECE 1067 Switch-Mode Power Supplies (SMPS)**

This course covers the design and analysis of switch-mode power supplies used in virtually all electronic devices, including small mobile applications, computers, medical devices, consumer electronics, motor drives, electric vehicles, and power systems. Topics to be covered include: switch-mode power supplies topologies; analysis of the steady-state operation; components; modeling and control of switch-mode power supplies; practical control loop implementation.

**ECE 1068 Introduction to Electromagnetic Compatibility (EMC)**

This course provides a fundamental understanding of the means by which electromagnetic interference arises. Techniques to reduce, overcome, or to protect sensitive electronic equipment from electromagnetic interference are covered. Course content: source of noise, modes of noise coupling, preventative measures, transmitters and receivers, grounding, surge protection. The course concludes with a case study. This course requires a basic background in circuit theory, fields and waves, and some knowledge in power electronics.

**ECE 1072 AC Drive System Dynamics**

Analysis of dynamics of ac drive systems supplied by variable voltage and frequency converters: machine and converter modeling for ac drives, field oriented ac machine controls, observers for stator flux and rotor flux, closed loop torque control. Synthesis of closed loop control systems for torque, current and position applying linear and nonlinear control theory, and dynamic models of ac machines. The course includes assignments to study drive systems by computer simulation (Personal Computers) using the drive simulation package ISIPC developed at the University of Toronto, or other packages familiar to the students. It is recommended that students take ECE 533H. This course requires a basic background in controls and electric machines.

**ECE 1081 Application of the Finite Element Method to Field Problems**

The objective is to provide students having a basic knowledge of electromagnetic field theory and numerical analysis with hands-on experience in applying the finite element method to solve field problems. The subject material will be selected from the following: (1) Introduction to the finite element method; application to linear, two-dimensional boundary value problems in electrostatics and magnetostatics. (2) Finite element solution of the nonlinear magnetostatic problem. (3) Vector finite element formulations; eigenvalue problems; spurious solutions; edge elements. (4) Finite element solution of eddy current and skin effect problems; the integrodifferential formulation. (5) Finite element formulation of coupled problems. (6) Maxwell stress tensor and electromagnetic forces. (7) Review of recent developments in finite element methods for 2D and 3D electromagnetic field problems.

**ECE 1082 Mathematics for Advanced Electromagnetics**

The understanding of numerous methods of analysis used in advanced electromagnetics depends on in-depth knowledge of complex variables, linear analysis, the Dirac delta function, Sturm-Liouville operator theory and boundary value problems, Green´s functions, spectral representations, and others. The course material comprises linear analysis leading to the introduction of the method of moments; electromagnetic boundary value problems of the Sturm-Liouville type in one-, two- and three-dimensions; modal expansion methods; Green´s function methods; mathematical representation of electromagnetic voltage and current sources. The course belongs sufficiently in the class of applied mathematics courses to also attract graduate students from outside the Power Group.

**ECE 1083 Harmonic Balance and the Finite Element Method**

The course will start with an explanation of harmonic balance theory and a description of its use for the analysis of nonlinear circuits in general. This will be followed by a brief review of nonlinear magnetic circuits and the classical finite element method for magnetostatic field problems. Attention will then be focused on the implementation and application of the harmonic balance finite element method. Examples found in the literature will be used to illustrate the usefulness of this steady state nonlinear circuit analysis technique.

**ECE 1089 Special Topics in Electromagnetics: Practical Application of Finite Element Method**

**ECE 533 Power Electronics**

Switched mode power supply design for telecommunication computer and information applications; steady state analysis, component ratings, EMC regulatory issues, control loop modelling and control loop design. Prerequisites: ECE 315 or ECE 359 (these prerequisites are only for undergraduate students)

**ECE1057 Static Power Converters I—Principles of Operation and Applications**

Principles of operation of AC-DC, DC-AC and direct AC-AC power converters, applications of static converters for power transmission: (i) point-to-point and back-to-back HVDC, (ii) wind power conversion system, and (iii) micro-turbine system, applications of static converters for compensation: (i) series compensation, (ii) shunt compensation, (iii) and hybrid compensation. Distributed generation/storage and micro-grid, impact of static converters on transient stability.

**ECE1057 Static Power Converters I—Principles of Operation and Applications**

Principles of operation of AC-DC, DC-AC and direct AC-AC power converters, applications of static converters for power transmission: (i) point-to-point and back-to-back HVDC, (ii) wind power conversion system, and (iii) micro-turbine system, applications of static converters for compensation: (i) series compensation, (ii) shunt compensation, (iii) and hybrid compensation. Distributed generation/storage and micro-grid, impact of static converters on transient stability.

**ECE1058 Static Power Converters II—Dynamics and Control**

Small-Signal models of AC-DC, DC-AC and AC-AC converter systems, HVDC controls, controls of wind power conversion system, controls of micro-turbine system, controls of series-compensator, controls of shunt-compensator, controls of hybrid-compensator, controls of distributed generation/storage and dynamics of micro-grid, islanding detection and issues, small-signal modeling and analysis of large electric power systems.

**ECE1084 Design of Advanced High-Efficiency Switched Mode Power Supplies**

This course is focused on the design and implementation of high-efficiency switched mode power supplies (SMPS). The primary emphasis is on converter efficiency optimization and related control techniques, from the system down to the transistor level. A significant portion of the course is dedicated to integrated (on-chip) SMPS, including high-frequency power-stage design, loss calculations, inductor selection, light-load optimization techniques (PFM/pulse skip), adaptive dead-time control, active gate-charge management, EMI issues, frequency scaling, layout issues, low-voltage power semiconductors. segmented power-stages, self-protection circuits, senSing techniques, system-level issues, and practical SMPS applications.

**ECE1084 Design of Advanced High-Efficiency Switched Mode Power Supplies**

This course is focused on the design and implementation of high-efficiency switched mode power supplies (SMPS). The primary emphasis is on converter efficiency optimization and related control techniques, from the system down to the transistor level. A significant portion of the course is dedicated to integrated (on-chip) SMPS, including high-frequency power-stage design, loss calculations, inductor selection, light-load optimization techniques (PFM/pulse skip), adaptive dead-time control, active gate-charge management, EMI issues, frequency scaling, layout issues, low-voltage power semiconductors. segmented power-stages, self-protection circuits, senSing techniques, system-level issues, and practical SMPS applications.

**ECE1085 Power System Optimization**

Explore techniques for the optimization of power system operations, including the following topics: state estimation, power system security, economic dispatch, power markets, and unit commitment.

**ECE510 Introduction to Lighting Systems**

An introduction to the physics of lighting systems (e.g. plasma physics, radiation spectrum, physics of light-emitting diodes) and the corresponding power electronic driver circuits (ballasts). The operating principles and the science behind different types of lamps are covered. These include incandescent, fluorescent, low and high pressure sodium, mercury, metal halide lamps and LED lighting systems. The designs and technical challenges of the electronic ballasts for each type of lighting source are discussed. Emphasis is given to issues related to lighting regulations, layout, delivery, efficiency and control. In addition, the economic and environmental assessment of current lighting systems is also addressed.