Optimal Power Flow Methods for DC Networks

This book thoroughly examines the latest research on optimal power flow (OPF) studies in direct current (DC) systems, focusing on implementing various OPF algorithms using Julia software. It is tailored for both students and professionals in the field of power systems, covering essential topics such as power flow analysis and optimal power flow in monopolar DC networks. The book highlights exact nonlinear programming formulations and convex approximations, offering practical examples and hands-on experience through Julia's optimization tools.

Optimal Power Flow Methods for DC Networks: A Convex Optimization Approach is a versatile resource that blends theoretical insights with practical applications. It equips undergraduate and graduate engineering students and industry professionals with the skills to effectively address modern power system challenges using advanced optimization techniques.

Explores optimal power flow with a focus on theoretical concepts and practical applications in monopolar DC networks Practical hands-on approach uses Julia programming language providing real-world examples and numerical results Offers solutions that balance complexity with solution quality for a wide range of power system applications

Autorentext

Oscar Danilo Montoya, PhD, Senior Member, IEEE, was born in Obando, Valle, Colombia, in 1989. He received the BEE, MSc, and PhD degrees in Electrical Engineering from Universidad Tecnológica de Pereira, Colombia, in 2012, 2014, and 2019, respectively. He is currently an associate professor of the Electrical Engineering program at Universidad Distrital Francisco José de Caldas, Colombia. His research interests include mathematical optimization, power systems planning and control, renewable energies, energy storage, protective devices, passivity-based control, and dynamical analysis.

Walter Gil-González, PhD, Senior Member, IEEE, received his BSc, MSc, and PhD degrees in Electrical Engineering from Universidad Tecnológica de Pereira, Colombia, in 2011, 2013, and 2019, respectively. He also holds a PhD in Renewable Energy from the University of Jaén, Spain, which he obtained in 2024. He worked as an adjunct professor at Institución Universitaria Pascual Bravo in 2021 and 2022. He currently serves as a professor at the Department of Electric Power Engineering of Universidad Tecnológica de Pereira. He is a senior member of IEEE and a senior researcher of the Colombian National Research System. His research interests include power systems control, stability, optimization, and operation.

Alejandro Garcés-Ruiz, PhD, is a Professor in the Department of Electric Power Engineering at Universidad Tecnológica de Pereira (UTP). His research interests include optimization and control in power systems with inverter-based resources. Prof. Garcés-Ruiz received his master's degree in electrical engineering from UTP in 2006 and his PhD in electrical engineering from the Norges Teknisk Naturvitenskapelige Universitet (NTNU), Norway, in 2012. He is an Associate Editor for the IEEE Transactions on Industrial Electronics and IET Renewable Power Generation . He is also a Member of CIGRE and the Colombian Section of the Society for Industrial and Applied Mathematics (CoSIAM). In 2020, he received the Georg Forster Research Fellowship for Experienced Researchers from the Alexander Von Humboldt Foundation in Germany. Prof. Garcés-Ruiz is a Senior Member of the IEEE.

Inhalt

A Review of DC Networks.- The Optimal Power Flow Problem.- Part I: Recursive Methods.- Product Approximation.- Hyperbolic Approximation.- First Conic Approximation.- Part II: Conic and Semidefinite Programming Models.- Semidefinit Programming Optimization.- Second Conic Approximation.- Third Conic Approximation.- Part III: Bipolar DC Networks.- Exact OPF Formulation.- Recursive Convex Approximation.- Second-Order Cone Approximation.