Local Voltage Control in Distribution Networks: A Game-Theoretic Perspective

Emiliano Dall-Anese; Xinyang Zhou; Jie Tian; Lijun Chen

doi:10.1109/NAPS.2016.7747940

Local Voltage Control in Distribution Networks: A Game-Theoretic Perspective

Emiliano Dall-Anese, Xinyang Zhou, Jie Tian, Lijun Chen

Power Systems Engineering

University of Colorado Boulder

Research output: Contribution to conference › Paper › peer-review

18 Scopus Citations

Abstract

Inverter-based voltage regulation is gaining importance to alleviate emerging reliability and power-quality concerns related to distribution systems with high penetration of photovoltaic (PV) systems. This paper seeks contribution in the domain of reactive power compensation by establishing stability of local Volt/VAr controllers. In lieu of the approximate linear surrogate used in the existing work, the paper establishes existence and uniqueness of an equilibrium point using nonlinear AC power flow model. Key to this end is to consider a nonlinear dynamical system with non-incremental local Volt/VAr control, cast the Volt/VAr dynamics as a game, and leverage the fixed-point theorem as well as pertinent contraction mapping argument. Numerical examples are provided to complement the analytical results.

Original language	American English
Number of pages	6
DOIs	https://doi.org/10.1109/NAPS.2016.7747940 https://doi.org/10.1109/NAPS.2016.7747940
State	Published - 17 Nov 2016
Event	48th North American Power Symposium, NAPS 2016 - Denver, United States Duration: 18 Sep 2016 → 20 Sep 2016

Conference

Conference	48th North American Power Symposium, NAPS 2016
Country/Territory	United States
City	Denver
Period	18/09/16 → 20/09/16

Bibliographical note

See NREL/CP-5D00-66847

NREL Publication Number

NREL/CP-5D00-67832

Keywords

Distribution systems
game theory
photovoltaic systems
stability
Volt/VAr control
voltage regulation

UN SDGs

This output contributes to the following UN Sustainable Development Goals (SDGs)

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Cite this

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title = "Local Voltage Control in Distribution Networks: A Game-Theoretic Perspective",

abstract = "Inverter-based voltage regulation is gaining importance to alleviate emerging reliability and power-quality concerns related to distribution systems with high penetration of photovoltaic (PV) systems. This paper seeks contribution in the domain of reactive power compensation by establishing stability of local Volt/VAr controllers. In lieu of the approximate linear surrogate used in the existing work, the paper establishes existence and uniqueness of an equilibrium point using nonlinear AC power flow model. Key to this end is to consider a nonlinear dynamical system with non-incremental local Volt/VAr control, cast the Volt/VAr dynamics as a game, and leverage the fixed-point theorem as well as pertinent contraction mapping argument. Numerical examples are provided to complement the analytical results.",

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AU - Tian, Jie

AU - Chen, Lijun

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N2 - Inverter-based voltage regulation is gaining importance to alleviate emerging reliability and power-quality concerns related to distribution systems with high penetration of photovoltaic (PV) systems. This paper seeks contribution in the domain of reactive power compensation by establishing stability of local Volt/VAr controllers. In lieu of the approximate linear surrogate used in the existing work, the paper establishes existence and uniqueness of an equilibrium point using nonlinear AC power flow model. Key to this end is to consider a nonlinear dynamical system with non-incremental local Volt/VAr control, cast the Volt/VAr dynamics as a game, and leverage the fixed-point theorem as well as pertinent contraction mapping argument. Numerical examples are provided to complement the analytical results.

AB - Inverter-based voltage regulation is gaining importance to alleviate emerging reliability and power-quality concerns related to distribution systems with high penetration of photovoltaic (PV) systems. This paper seeks contribution in the domain of reactive power compensation by establishing stability of local Volt/VAr controllers. In lieu of the approximate linear surrogate used in the existing work, the paper establishes existence and uniqueness of an equilibrium point using nonlinear AC power flow model. Key to this end is to consider a nonlinear dynamical system with non-incremental local Volt/VAr control, cast the Volt/VAr dynamics as a game, and leverage the fixed-point theorem as well as pertinent contraction mapping argument. Numerical examples are provided to complement the analytical results.

KW - Distribution systems

KW - game theory

KW - photovoltaic systems

KW - stability

KW - Volt/VAr control

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Y2 - 18 September 2016 through 20 September 2016

ER -

Local Voltage Control in Distribution Networks: A Game-Theoretic Perspective

Abstract

Conference

Bibliographical note

NREL Publication Number

Keywords

UN SDGs

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