**Course Format:**

This is a reading course in which there will be no formal lectures.

The students are responsible for studying the material and doing the assignments

as well as the final project as outlined in this course. Biweekly meetings with instructor

will be arranged wherein the students can report on the progress.

Email: jurij@ece.ubc.ca

This is a graduate course that may be useful for students interested in power electronics modeling and dynamics.

Recommended software for working on class assignments is Matlab/Simulink.

Please use Matlab as much as possible for carrying out calculations, simulations, and plotting the results.

Prerequisite: **EECE 549** or
approval by the instructor

**Grades:**

This course would not have mid term or final exams. The final grade will be based on all

assignment reports and the final project report-presentation. The late assignments will be

penalized 10% per day for up to 3 days delay, and zero thereafter.

1. Review of steady-state analysis of basic dc-dc converters, losses, and efficiency.

Discontinuous conduction mode (DCM), analysis of conversion ratio.

Converter topologies with transformer isolation

Reading Material [**B1**, Chaps. 2, 5, 6]

**Assignment
1:** Problems 2.3; 2.5; 2.9; 5.9; 5.10; 6.10 (Due on
Friday Feb. 1: Postponed to Feb 22)

2. Converter dynamics and control, basic modeling, state-space-averaging, circuit averaging, canonical models.

Equivalent circuit modeling of DCM, small-signal modeling, high-frequency dynamics.

Energy conservation principle. Converter transfer function and impedance measurement.

Design of PD, PI, and PID controllers, closed-loop stability, design of input filters;

Average switch model, high frequency dynamics in DCM

Current Controlled Converters

Reading Material [**B1**, Chaps. 7, 8, 9, 11, 12, and **Papers** 1 – 5]

**Assignment
2:** Textbook Problems, 7.10; 7.12; 8.9; 8.24; 9.3; 9.7; 11.7; 12.1; 12.2 (Due on Friday Feb 22: Postponed to Mar 1)

**Additional Problem 2-A:** Based on **P2** and **P5**, re-derive the equivalent average switching cell for DCM and CCM.

Note: the correction due to energy conservation principle will be different for CCM as apposed to DCM.

** Additional Problem 2-B:** Based on
**P1** and **P3**, explain the limitations of classical state-space-averaging for DCM and re-derive the corrected state-space-averaging model
for DCM.

3. Power and Harmonics. Line-commutated rectifiers, DCM and CCM; 6-, 12-, 18-, and 24-poles topologies, modes of operation, average-value modeling.

Reading Material [**B1**, Chaps. 16, 17; B2, Chap. 11 (In particular 11.3); and **Papers** 5 – 10]

**Assignment
3:** Textbook Problems: Book **B1** -
16.2; 16.3; 17.4; 17.7; Book B2 - Problem 11.6:
(Due on Friday Mar. 15)

**Additional Problem 3-A:** Based on **B2** – Re-derive AVM depicted on p. 423, develop Simulink model and
implement study shown on p.424 to confirm the correctness of your model.

4. Active PWM Rectifiers: Single- and three-phase rectifiers, power factor and harmonic correction; Resonant Converters, ARCP; Multi-level converters and MMC.

Reading Material [**B1**, Chaps. 18, 19 and 20; and **Papers**
11 – 16]

** Assignment 4:** Textbook
Problems: Book **B1** – 18.6; 18.8;
19.7; 20.6 (Due on Wed. Apr. 3)

**Final Project:** The project must include a design and modeling of a
power-electronic module

(e.g. a PWM rectifier supplying a machine drive system from EECE 549 demonstrating transient

behavior of the power transfer from ac sources to load and back from load to ac source)

with appropriate controls altogether verified using a detailed computer simulation. (Due on Monday Apr. 8)

The students will be making presentations of their final projects on December 7.

The location and time will be determined later, closer to the end of the term.

**Recommended
Books and Papers: **

**B1.** R. W. Erickson
& D. Maksimović, Fundamentals of Power
Electronics, 2nd Edition, Kluwer 2001, 912 pp.

**
**ISBN 0-7923-7270-0

**B2.** P.C. Krause, “Analysis of Electric Machinery and Drive Systems,
2nd Edition,” IEEE Press

2002, ISBN: 0-471-14326-X (Same book as was used for EECE 549)

**P1.** A. Davoudi, J. Jatskevich, and T.
DeRybel, “Numerical State-Space Average-Value Modeling of PWM DC-DC Converters
Operating in DCM and CCM,” IEEE Transactions on Power
Electronics, Vol. 21, No. 4, Jul. 2006, pp. 1002–1012.

**P2.** A. Davoudi, J. Jatskevich, and P.
L. Chapman, “Averaged modeling of switched-inductor cells considering
conduction losses in discontinuous mode,” IET
Electric Power Applications, Vol. 1, Iss. 3, (Paper
EPA-2006-0329), pp. 402–406, May 2007.

**P3.** A. Davoudi and J. Jatskevich,
“Parasitics Realization in State-Space Average-Value Modeling of PWM Dc-Dc
Converters Using an Equal Area Method,” IEEE Transactions on Circuits and
Systems I, Regular Papers, (Paper TCAS-2801-2006) 8 pages, Accepted 23 April
2007.

**P4.** A. Davoudi, J. Jatskevich, and P.
L. Chapman, “Computer-Aided Average-Value Modeling of Fourth-Order PWM DC-DC
Converters,” Proc. of IEEE International Symposium on Circuits and Systems
(ISCAS’07), New Orleans, USA, May 27-30, 2007, pp. 793–796.

**P5.** Czarkowski,
D., and Kazimierczuk, M.K.:
‘Energy-conservation approach to modeling PWM dc-dc converters’, IEEE Trans. Aerosp. Electron. Syst., 1993, 29,
(3), pp. 1059–1063

**P6.** Yii-Shen Tzeng,
Nanming Chen, Ruay-Nan Wu,
“Modes of operation in parallel-connected 12-pulse uncontrolled bridge rectifiers
without an interphase transformer,” IEEE Transactions on Industrial
Electronics, Vol. 44, Iss. 3, June 1997, pp.
344 – 355.

**P7.** S. Choi, P. N. Enjeti, I. J. Pitel, “Polyphase transformer arrangements with reduced kVA capacities for harmonic current reduction in
rectifier-type utility interface,” IEEE Transactions on Power Electronics, Vol.
11, Iss. 5, Sept. 1996, pp. 680 – 690.

**P8.** B. Zhang, S. D. Pekarek, “Analysis
and Average Value Model of a Source-Commutated 5-Phase Rectifier,” 35th Annual
IEEE Power Electronics Specialists Conference,

**P9.** Z. Huiyu,
R. P. Burgos, F. Lacaux, A. Uan-Zo-li,
D. K. Lindner, F. Wang, D. Boroyevich, “Evaluation of
average models for nine-phase diode rectifiers with improved AC and DC
dynamics,” 21th IEEE Applied Power Electronics
Conference and Exposition (APEC '06), March 19-23, 2006, pp. 7.

**P10.**

**P11.** Pickert, V.; Johnson, C.M. “Three-phase soft-switching voltage source converters
for motor drives. I. Overview and analysis,” IEE Proceedings - Electric Power Applications, Vol. 146, Iss. 2, 1999, pp. 147 – 154.

**P12.**
Johnson, C.M.; Pickert, V. “Three-phase soft-switching voltage source
converters for motor drives. II. Fundamental
limitations and critical assessment,” IEE Proceedings
-Electric Power Applications, Vol. 146, Iss.
2, 1999, pp. 155 – 162.

**P13.**
Divan, D.M.; Skibinski, G. “Zero-switching-loss inverters for high-power
applications,” IEEE Transactions on Industry Applications, Vol. 25, Iss. 4, 1989, pp. 634 – 643.

**P14.**
Corzine, K.A.;
Baker, J.R. “Multilevel voltage-source duty-cycle
modulation: analysis and implementation,” IEEE Transactions on Industrial
Electronics, Vol. 49, Iss. 5, 2002, pp. 1009 – 1016.

**P15.** A. Lesnicar
and R.Marquardt, “An innovative modular multilevel
converter topology suitable for a wide power range,” presented at the IEEE
Power Tech Conf.,

**P16.** M. Saeedifard
and R. Iravani, “Dynamic performance of a modular
multilevel back-to-back HVDC system,” IEEE Trans.
Power

**Interested students** should contact the course instructor via email
as soon as possible so

that appropriate number of spaces can be allocated.