A Method for Distributed Control of Reactive Power and Voltage in a Power Grid: A Game-Theoretic Approach

Ikponmwosa Idehen, Shiny Abraham and Gregory V. Murphy
Additional contact information
Ikponmwosa Idehen: Electrical & Computer Engineering, Texas A&M University, College Station, TX 77840, USA
Shiny Abraham: Electrical & Computer Engineering, Seattle University, Seattle, WA 98122, USA
Gregory V. Murphy: Electrical Engineering, Tuskegee University, Tuskegee, AL 36088, USA

Energies, 2018, vol. 11, issue 4, 1-22

Abstract: The efficiency of a power system is reduced when voltage drops and losses occur along the distribution lines. While the voltage profile across the system buses can be improved by the injection of reactive power, increased line flows and line losses could result due to uncontrolled injections. Also, the determination of global optimal settings for all power-system components in large power grids is difficult to achieve. This paper presents a novel approach to the application of game theory as a method for the distributed control of reactive power and voltage in a power grid. The concept of non-cooperative, extensive = form games is used to model the interaction among power-system components that have the capacity to control reactive power flows in the system. A centralized method of control is formulated using an IEEE 6-bus test system, which is further translated to a method for distributed control using the New England 39-bus system. The determination of optimal generator settings leads to an improvement in load-voltage compliance. Finally, renewable-energy (reactive power) sources are integrated to further improve the voltage-compliance level.

Keywords: game theory; Nash equilibrium; backward induction; power systems; reactive power and voltage control; distributed control (search for similar items in EconPapers)
JEL-codes: Q Q0 Q4 Q40 Q41 Q42 Q43 Q47 Q48 Q49 (search for similar items in EconPapers)
Date: 2018
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (3)

Downloads: (external link)
https://www.mdpi.com/1996-1073/11/4/962/pdf (application/pdf)
https://www.mdpi.com/1996-1073/11/4/962/ (text/html)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:gam:jeners:v:11:y:2018:i:4:p:962-:d:141640

Access Statistics for this article

Energies is currently edited by Ms. Agatha Cao

More articles in Energies from MDPI
Bibliographic data for series maintained by MDPI Indexing Manager ().