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Meta-heuristics applied to the AC model in transmission network expansion planning

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Author(s):
José Nicolás Melchor Gutiérrez
Total Authors: 1
Document type: Doctoral Thesis
Press: Ilha Solteira. 2019-07-04.
Institution: Universidade Estadual Paulista (Unesp). Faculdade de Engenharia. Ilha Solteira
Defense date:
Advisor: Rubén Augusto Romero Lázaro
Abstract

The future power systems will have a dynamic behaviour due to a significant amount of renewable generation, especially wind and solar generation, will be installed in the power systems of many countries in the world including Brazil.The uncertainty introduced by the renewable energy resources is a problem that has to be solved. The development of a flexible network is necessary to solve the aforementioned problem. The installation of energy storage in the power system will be necessary to manage the new uncertainties and to maintain the adequate system’s operation. Additionally, the transmission system will become more active though new flexible technologies, which allows having an optimal control of the power system. The new technologies include Flexible AC Transmission System (FACTS), High Voltage Direct current (HVDC) transmission systems and other technologies, which allow controlling the power flow direction without changing the power injections of generation or demand. Therefore, in this thesis are studied different mathematical formulations using the AC power flow equations for the optimal power flow (OPF) problem, the transmission expansion planning (TEP) problem and the reactive power planning (RPP) problem. Furthermore, two additional contributions have been made. The first contribution is the development of new mathematical formulations for the multiperiod optimal power flow for active transmission systems that includes FACTS, HVDC and batteries. The second contribution is the development of effective and efficient heuristics and metaheuristics to solve the static and multistage AC TEP. The test systems that has been used to assess the AC OPF formulations are the IEEE 30, IEEE 118 and IEEE 300. Moreover, the Garver, IEEE 24, IEEE 118, South Brazilian and North-Northeast Brazilian power systems have been used to test the formulations and solution techniques for the AC TEP problem. The mathematical formulations have been implemented in the mathematical programming language AMPL and the heuristics and metaheuristics have been implemented in C++. The different mathematical formulations have been solved with the solver CPLEX, Knitro and Baron. The results show the good quality of the nonlinear formulations to represent the AC OPF problem. Additionally, the effectiveness of the solution techniques for the AC TEP problem is proven. (AU)

FAPESP's process: 15/04190-4 - Meta-heuristics applied to the AC model in transmission network expansion planning
Grantee:José Nicolás Melchor Gutiérrez
Support Opportunities: Scholarships in Brazil - Doctorate