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