A quasi-Newton algorithm for solving the power flow problem in inverter-based power systems

This thesis addresses the power flow problem for electric power networks using inverter-interfaced resources. Several inverter control strategies have been proposed to facilitate the transition from synchronous machines to inverterbased generators within electric power networks. This transition necessitates the development of novel power system modeling and analysis techniques to solve the power flow problem. The control schemes of inverter-based resources operating in grid-forming and grid-following modes are considered. Grid-following inverters are modeled as negative loads and their control mechanism is not considered. However, consideration is given to grid-forming inverters control based on droop, virtual synchronous machine, and dispatchable virtual oscillator. A comprehensive power flow model that incorporates the terminal characteristics of these resources is developed. Then, Newton’s solution method for computing the unknowns in this power flow model is presented and the structure of the associated iterations is leveraged to formulate a quasi-Newton algorithm. This algorithm is shown to be closely related to the conventional power flow solution method that is widely adopted in the power systems literature. Commercial power flow solvers can therefore be adapted to solve the inverter-based power flow problem. Numerical results are presented to compare the performance of the proposed quasi-Newton method to that of Newton’s method.

Name thesis:degree_name

M.S.

Level thesis:degree_level

Thesis

Discipline thesis:degree_discipline

Electrical & Computer Engr

Grantor

University of Illinois Urbana-Champaign

Year dc:date

2025

Author dc:creator

• Amuda, Temitope Victor

Contributors dc:contributor

• Dominguez-Garcia, Alejandro D.

• power
• inverter

Statement dc:rights

• Copyright 2025 Temitope Amuda

Language dc:language

en, eng

Handle dc:identifier

https://hdl.handle.net/2142/129182

OAI record oai:identifier

https://www.ideals.illinois.edu/oai-pmh?verb=GetRecord&metadataPrefix=etdms&identifier=oai%3Awww.ideals.illinois.edu%3A2142%2F129182