Local Voltage Control in Distribution Networks: A GameTheoretic Perspective: Preprint
Abstract
Inverterbased voltage regulation is gaining importance to alleviate emerging reliability and powerquality 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 nonincremental local Volt/VAr control, cast the Volt/VAr dynamics as a game, and leverage the fixedpoint theorem as well as pertinent contraction mapping argument. Numerical examples are provided to complement the analytical results.
 Authors:
 Publication Date:
 Research Org.:
 National Renewable Energy Lab. (NREL), Golden, CO (United States)
 Sponsoring Org.:
 NREL Laboratory Directed Research and Development (LDRD)
 OSTI Identifier:
 1327210
 Report Number(s):
 NREL/CP5D0066847
 DOE Contract Number:
 AC3608GO28308
 Resource Type:
 Conference
 Resource Relation:
 Conference: Presented at the 2016 North American Power Symposium (NAPS), 1820 September 2016, Denver, Colorado
 Country of Publication:
 United States
 Language:
 English
 Subject:
 14 SOLAR ENERGY; 24 POWER TRANSMISSION AND DISTRIBUTION; distribution systems; photovoltaic systems; voltage regulation; Volt/VAr control; game theory; stability
Citation Formats
Zhou, Xinyang, Tian, Jie, Chen, Lijun, and Dall'Anese, Emiliano. Local Voltage Control in Distribution Networks: A GameTheoretic Perspective: Preprint. United States: N. p., 2016.
Web. doi:10.1109/NAPS.2016.7747940.
Zhou, Xinyang, Tian, Jie, Chen, Lijun, & Dall'Anese, Emiliano. Local Voltage Control in Distribution Networks: A GameTheoretic Perspective: Preprint. United States. doi:10.1109/NAPS.2016.7747940.
Zhou, Xinyang, Tian, Jie, Chen, Lijun, and Dall'Anese, Emiliano. 2016.
"Local Voltage Control in Distribution Networks: A GameTheoretic Perspective: Preprint". United States.
doi:10.1109/NAPS.2016.7747940. https://www.osti.gov/servlets/purl/1327210.
@article{osti_1327210,
title = {Local Voltage Control in Distribution Networks: A GameTheoretic Perspective: Preprint},
author = {Zhou, Xinyang and Tian, Jie and Chen, Lijun and Dall'Anese, Emiliano},
abstractNote = {Inverterbased voltage regulation is gaining importance to alleviate emerging reliability and powerquality 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 nonincremental local Volt/VAr control, cast the Volt/VAr dynamics as a game, and leverage the fixedpoint theorem as well as pertinent contraction mapping argument. Numerical examples are provided to complement the analytical results.},
doi = {10.1109/NAPS.2016.7747940},
journal = {},
number = ,
volume = ,
place = {United States},
year = 2016,
month = 9
}

Inverterbased voltage regulation is gaining importance to alleviate emerging reliability and powerquality 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 nonincremental local Volt/VAr control, cast the Volt/VAr dynamics as a game, and leverage the fixedpoint theorem as wellmore »

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