Stochastic loss minimization for power distribution networks

Vassilis Kekatos; Gang Wang; Georgios B. Giannakis

doi:10.1109/NAPS.2014.6965430

Stochastic loss minimization for power distribution networks

Vassilis Kekatos, Gang Wang, Georgios B. Giannakis

School of Automation

University of Minnesota Twin Cities

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

4 Citations (Scopus)

Abstract

Distribution systems will be critically challenged by reverse power flows and voltage fluctuations due to the integration of distributed renewable generation, demand response, and electric vehicles. Yet the same transformative changes coupled with advances in microelectronics offer new opportunities for reactive power management in distribution grids. In this context and considering the increasing time-variability of distributed generation and demand, a scheme for stochastic loss minimization is developed here. Given uncertain active power injections, a stochastic reactive control algorithm is devised. Leveraging the recent convex relaxation of optimal power flow problems, it is shown that the subgradient of the power losses can be obtained as the Lagrange multiplier of the related second-order cone program (SOCP). Numerical tests on a 47-bus test feeder with high photovoltaic penetration corroborates the power efficiency and voltage profile advantage of the novel stochastic method over its deterministic alternative.

Original language	English
Title of host publication	2014 North American Power Symposium, NAPS 2014
Publisher	Institute of Electrical and Electronics Engineers Inc.
ISBN (Electronic)	9781479959044
DOIs	https://doi.org/10.1109/NAPS.2014.6965430
Publication status	Published - 21 Nov 2014
Event	2014 North American Power Symposium, NAPS 2014 - Pullman, United States Duration: 7 Sept 2014 → 9 Sept 2014

Publication series

Name	2014 North American Power Symposium, NAPS 2014

Conference

Conference	2014 North American Power Symposium, NAPS 2014
Country/Territory	United States
City	Pullman
Period	7/09/14 → 9/09/14

Keywords

Voltage regulation
convex relaxation
optimal power flow
power loss minimization
second-order cone programming
stochastic approximation

UN SDGs

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

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10.1109/NAPS.2014.6965430

Cite this

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title = "Stochastic loss minimization for power distribution networks",

abstract = "Distribution systems will be critically challenged by reverse power flows and voltage fluctuations due to the integration of distributed renewable generation, demand response, and electric vehicles. Yet the same transformative changes coupled with advances in microelectronics offer new opportunities for reactive power management in distribution grids. In this context and considering the increasing time-variability of distributed generation and demand, a scheme for stochastic loss minimization is developed here. Given uncertain active power injections, a stochastic reactive control algorithm is devised. Leveraging the recent convex relaxation of optimal power flow problems, it is shown that the subgradient of the power losses can be obtained as the Lagrange multiplier of the related second-order cone program (SOCP). Numerical tests on a 47-bus test feeder with high photovoltaic penetration corroborates the power efficiency and voltage profile advantage of the novel stochastic method over its deterministic alternative.",

keywords = "Voltage regulation, convex relaxation, optimal power flow, power loss minimization, second-order cone programming, stochastic approximation",

author = "Vassilis Kekatos and Gang Wang and Giannakis, {Georgios B.}",

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Kekatos, V, Wang, G & Giannakis, GB 2014, Stochastic loss minimization for power distribution networks. in 2014 North American Power Symposium, NAPS 2014., 6965430, 2014 North American Power Symposium, NAPS 2014, Institute of Electrical and Electronics Engineers Inc., 2014 North American Power Symposium, NAPS 2014, Pullman, United States, 7/09/14. https://doi.org/10.1109/NAPS.2014.6965430

Stochastic loss minimization for power distribution networks. / Kekatos, Vassilis; Wang, Gang; Giannakis, Georgios B.
2014 North American Power Symposium, NAPS 2014. Institute of Electrical and Electronics Engineers Inc., 2014. 6965430 (2014 North American Power Symposium, NAPS 2014).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

TY - GEN

T1 - Stochastic loss minimization for power distribution networks

AU - Kekatos, Vassilis

AU - Wang, Gang

AU - Giannakis, Georgios B.

PY - 2014/11/21

Y1 - 2014/11/21

N2 - Distribution systems will be critically challenged by reverse power flows and voltage fluctuations due to the integration of distributed renewable generation, demand response, and electric vehicles. Yet the same transformative changes coupled with advances in microelectronics offer new opportunities for reactive power management in distribution grids. In this context and considering the increasing time-variability of distributed generation and demand, a scheme for stochastic loss minimization is developed here. Given uncertain active power injections, a stochastic reactive control algorithm is devised. Leveraging the recent convex relaxation of optimal power flow problems, it is shown that the subgradient of the power losses can be obtained as the Lagrange multiplier of the related second-order cone program (SOCP). Numerical tests on a 47-bus test feeder with high photovoltaic penetration corroborates the power efficiency and voltage profile advantage of the novel stochastic method over its deterministic alternative.

AB - Distribution systems will be critically challenged by reverse power flows and voltage fluctuations due to the integration of distributed renewable generation, demand response, and electric vehicles. Yet the same transformative changes coupled with advances in microelectronics offer new opportunities for reactive power management in distribution grids. In this context and considering the increasing time-variability of distributed generation and demand, a scheme for stochastic loss minimization is developed here. Given uncertain active power injections, a stochastic reactive control algorithm is devised. Leveraging the recent convex relaxation of optimal power flow problems, it is shown that the subgradient of the power losses can be obtained as the Lagrange multiplier of the related second-order cone program (SOCP). Numerical tests on a 47-bus test feeder with high photovoltaic penetration corroborates the power efficiency and voltage profile advantage of the novel stochastic method over its deterministic alternative.

KW - Voltage regulation

KW - convex relaxation

KW - optimal power flow

KW - power loss minimization

KW - second-order cone programming

KW - stochastic approximation

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M3 - Conference contribution

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T3 - 2014 North American Power Symposium, NAPS 2014

BT - 2014 North American Power Symposium, NAPS 2014

PB - Institute of Electrical and Electronics Engineers Inc.

T2 - 2014 North American Power Symposium, NAPS 2014

Y2 - 7 September 2014 through 9 September 2014

ER -

Stochastic loss minimization for power distribution networks

Abstract

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Keywords

UN SDGs

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