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Title: Multi-Timescale Three-Phase Unbalanced Distribution System Operation With Variable Renewable Generations

Abstract

This paper proposes a multi-timescale operational approach for a three-phase unbalanced distribution system, which contains hourly scheduling at substation level and minutes power flow operation at feeder level. In the substation scheduling model, the objective is to minimize the system cost with variable renewable generations. The given error distribution model of renewable generation is formulated as a chance constraint, and derived into a deterministic form by Gaussian mixture model (GMM) with genetic algorithm-based expectation-maximization (GAEM). In the feeder scheduling model, the system cost is further reduced with the optimal power flow (OPF) at a timescale of minutes. Considering the nonconvexity of the three-phase unbalanced OPF problem in distribution systems, the semidefinite programming (SDP) is used to relax the problem into a convex problem, and a distributed computation approach is built based on alternating direction method of multiplier (ADMM). The IEEE 123-bus distribution system, DU (University of Denver) campus distribution system, and the IEEE 8500-bus distribution system are used as the test bench for the proposed approach. And the numerical results demonstrate the effectiveness and validity of the proposed method.

Authors:
 [1];  [2];  [3];  [2];  [4];  [2]
  1. Univ. of Denver, CO (United States)
  2. National Renewable Energy Lab. (NREL), Golden, CO (United States)
  3. Univ. of Denver, CO (United States); Qingdao Academy of Intelligent Industries (China)
  4. Kansas State Univ., Manhattan, KS (United States)
Publication Date:
Research Org.:
National Renewable Energy Lab. (NREL), Golden, CO (United States)
Sponsoring Org.:
USDOE Office of Energy Efficiency and Renewable Energy (EERE)
OSTI Identifier:
1467101
Report Number(s):
NREL/JA-5D00-72247
Journal ID: ISSN 1949-3053
Grant/Contract Number:  
AC36-08GO28308
Resource Type:
Journal Article: Accepted Manuscript
Journal Name:
IEEE Transactions on Smart Grid
Additional Journal Information:
Journal Volume: 10; Journal Issue: 4; Journal ID: ISSN 1949-3053
Publisher:
IEEE
Country of Publication:
United States
Language:
English
Subject:
24 POWER TRANSMISSION AND DISTRIBUTION; Gaussian mixture model; expectation-maximization; chance constraint; alternating direction method of multiplier; optimal power flow; distribution system; semidefinite programming

Citation Formats

Gu, Yi, Jiang, Huaiguang, Zhang, Jun Jason, Zhang, Yingchen, Wu, Hongyu, and Muljadi, Eduard. Multi-Timescale Three-Phase Unbalanced Distribution System Operation With Variable Renewable Generations. United States: N. p., 2018. Web. doi:10.1109/TSG.2018.2861736.
Gu, Yi, Jiang, Huaiguang, Zhang, Jun Jason, Zhang, Yingchen, Wu, Hongyu, & Muljadi, Eduard. Multi-Timescale Three-Phase Unbalanced Distribution System Operation With Variable Renewable Generations. United States. doi:10.1109/TSG.2018.2861736.
Gu, Yi, Jiang, Huaiguang, Zhang, Jun Jason, Zhang, Yingchen, Wu, Hongyu, and Muljadi, Eduard. Tue . "Multi-Timescale Three-Phase Unbalanced Distribution System Operation With Variable Renewable Generations". United States. doi:10.1109/TSG.2018.2861736. https://www.osti.gov/servlets/purl/1467101.
@article{osti_1467101,
title = {Multi-Timescale Three-Phase Unbalanced Distribution System Operation With Variable Renewable Generations},
author = {Gu, Yi and Jiang, Huaiguang and Zhang, Jun Jason and Zhang, Yingchen and Wu, Hongyu and Muljadi, Eduard},
abstractNote = {This paper proposes a multi-timescale operational approach for a three-phase unbalanced distribution system, which contains hourly scheduling at substation level and minutes power flow operation at feeder level. In the substation scheduling model, the objective is to minimize the system cost with variable renewable generations. The given error distribution model of renewable generation is formulated as a chance constraint, and derived into a deterministic form by Gaussian mixture model (GMM) with genetic algorithm-based expectation-maximization (GAEM). In the feeder scheduling model, the system cost is further reduced with the optimal power flow (OPF) at a timescale of minutes. Considering the nonconvexity of the three-phase unbalanced OPF problem in distribution systems, the semidefinite programming (SDP) is used to relax the problem into a convex problem, and a distributed computation approach is built based on alternating direction method of multiplier (ADMM). The IEEE 123-bus distribution system, DU (University of Denver) campus distribution system, and the IEEE 8500-bus distribution system are used as the test bench for the proposed approach. And the numerical results demonstrate the effectiveness and validity of the proposed method.},
doi = {10.1109/TSG.2018.2861736},
journal = {IEEE Transactions on Smart Grid},
issn = {1949-3053},
number = 4,
volume = 10,
place = {United States},
year = {2018},
month = {7}
}

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