Teaching
@Tongji University
Power Electronics (Spring 2024)
@The University of Hong Kong
ELEC8404 Advanced Topics in Modern Power Systems (Fall 2021)
Section 1 – Introduction
Role of optimization tools in modern power systems
Overview of OPF
Section 2 – Linear programming with application to OPF
Power flow modeling and linearization
Linear programming: formulations, optimality conditions and duality
DC-OPF and electricity pricing
OPF as bilevel optimization
Section 3 – Convex programming with application to OPF
Convex programming: formulations, optimality conditions and duality
Convex relaxation of OPF
Distributed optimization in OPF
Section 4 – Addressing uncertainties in OPF
OPF as robust programming
OPF as chance-constrained programming
Network reconfiguration as mixed-integer programming
ELEC8405 Math Tools for Modern Power System Analysis (Spring 2021, Fall 2022)
Section 1 - Power system modelling as dynamical networks
Introduction
Basic modelling of power systems
Basics of network science/graph theory
Revisiting power system models from a network-based perspective
Section 2 - Rotor angle stability
Basics of stability theory and dynamical networks
Small-signal angle stability: classic results and network-based results
Transient stability: classic results and network-based results
Section 3 - Voltage stability
Review of traditional methods (continuation power flow, point of collapse)
Network-based interpretation for voltage stability
Fixed-point theorem in voltage stability
Network reconfiguration for voltage regulation
Section 4 - Stability constrained optimal power flow
Basics of optimal power flow
Convexification and approximation of stability constraints