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

Electrical and Computer Engineering

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

4 Scopus citations

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 (US)
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
State	Published - Nov 21 2014
Event	2014 North American Power Symposium, NAPS 2014 - Pullman, United States Duration: Sep 7 2014 → Sep 9 2014

Publication series

Name	2014 North American Power Symposium, NAPS 2014

Other

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

Bibliographical note

Publisher Copyright:
© 2014 IEEE.

Keywords

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

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

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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

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, 9/7/14. https://doi.org/10.1109/NAPS.2014.6965430

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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.",

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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.

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Stochastic loss minimization for power distribution networks

Abstract

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Bibliographical note

Keywords

UN SDGs

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