Teaching
Operation of Modern Power Systems (ECE 61020)
Course Overview
Computational methods related to the management, monitoring, and control of modern and future power systems are at the focus of this course. Advanced methods are currently utilized in the everyday operation of power systems. Building on mathematical optimization, this course provides an overview of solution methods employed in different facets of power system operation ranging from grid monitoring, generation scheduling, real-time adjustments, energy markets, and contingency practices. Having successfully completed this course, the student will be able to: i) Understand the solution methods of economic dispatch and static state estimation and explain the automatic generation control of a multi-area system; ii) Apply the gradient and the Newton’s method to unconstrained nonlinear optimization problems; iii) Apply the Lagrange’s method to the economic dispatch of thermal units; iv) Explain the automatic generation control and carry out a small-signal analysis of a multi-area system; and v) Understand and derive the weighted least-squares state estimation method of an electric power system.
Textbook and Additional References
- A. J. Wood, B. F. Wollenberg, and G. B. Sheble, Power Generation, Operation, and Control, 3rd ed., Wiley, 2014.
- Gomez-Exposito, A.-J. Conejo, and C. Canizares, Electric Energy Systems: Analysis and Operation, CRC Press, 2009.
- Boyd and L. Vandenberghe, Convex Optimization, Cambridge University Press, 2004.
- Josh Taylor, Convex Optimization of Power Systems, Cambridge University Press, 2015.
Lectures
- Mathematical background
- Introduction and generation units
- Convex sets and functions
- Optimization problems
- Duality and Lagrange multipliers
- Economic dispatch
- Unit commitment
- Power flow problem
- Network-constrained economic dispatch
- Secure operation of power systems
- Power system state estimation
- Automatic generation control
- Gradient descent and Newton's method
