《现代电力系统运行优化理论与应用》 课程简介

Theory and Application of Optimization in Modern Power System Operation

课程名称 (Course Name) ：Theory and Application of Optimization in Modern Power System Operation

课程代码 (Course Code)：EE26007

学分/学时 (Credits/Credit Hours)：2/32

开课时间 (Course Term ) ：第一学期9～16周（冬季）

开课学院（School Providing the Course）: 电子信息与电气工程学院SEIEE

任课教师（Teacher）: 冯冬涵、许少伦、

课程讨论时数（Course Discussion Hours）: 30小时(Hours)

课程实验数（Lab Hours）:  2小时(Hours)

课程内容简介(Course Introduction):

This graduate-level course provides a fundamental understanding of the mathematics behind the operation of power grids. Following topics will be covered:

ü  Frontier practice of modeling power systems operation using linear programming, quadratic programming, mixed integer programming, convex optimization and other optimization techniques.

ü  Power systems operation problems such as state estimation, optimal dispatch, unit commitment, etc.

ü  Stochastic optimization for renewable energy

ü  Select topics on operating a smart grid

教学大纲(Course Teaching Outline):

1.        Traditional and new techniques for power systems modeling

2.        Mathematics for feasible operation regions

3.        Linearization and convex relaxation of power flow models

4.        Cutting-edge advances, challenges and technologies for operating a smart grid (intermittency and stochasticity, demand response, energy storage and vehicle electrification)

课程进度计划(Course Schedule):

1.      Week 1  (4 classes)：Time domain analysis, Fourier transformation and steady-state terms; mathematic essence of apparent, active and reactive power; conservation of energy, charge, and potential.

2.      Week 2  (4 classes)：mathematical essence of voltage maintenance, power transfer, transmission capacity in a three-phase power system; transformers and per-unit normalization; voltage collapse and P-V plane; P-Q plane, P1-P2 plane and feasible operation region;

3.      Week 3  (4 classes)：graph theory and impedance matrix; non-convexity and convex relaxation of optimal power flow, linearization of power flow models and direct current optimal power flow;

4.      Week 4  (4 classes)：rank one solution and optimization for distribution networks, relaxation, duality and KKT conditions; Lagrange multipliers and its physical implication; perturbation and sensitivity analysis;

5.      Week 5  (4 classes)： congestion, losses and merchandise surplus; transmission rights; degeneracy, convex hull and other recent advances;

6.      Week 6  (4 classes)： discussion class; laboratory tour;

7.      Week 7  (4 classes)：Centralized versus decentralized control; distributed decision and equilibrium; energy storage, demand response and vehicle electrification; rationality and complete information assumption;

8.      Week 8  (4 classes)： wind, solar, intermittency and stochasticity; smart meter, phase shifter, phasor measurement unit and flexible active current transmission system; multi-energy network; final project.

课程考核要求(Course Assessment Requirements)：

1.        25% homework

2.        20% active participation

3.        20% discussion class: presentation and debating 

4.        35% final project (final exam)

参考文献(Course References)：

[1].  Wood, Allen J., and Bruce F. Wollenberg. Power generation, operation, and control. John Wiley & Sons, 2012.

[2].  Arthur R. Bergen, Vijay Vittal, Pearson/Prentice Hall, 2000 - Electric power systems - 619 pages.