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Load Shedding for Voltage Regulation With Probabilistic Agent Compliance

Conference ·

With the increased observability and controllability of distribution systems, the share of behind-the-meter systems is trending upwards rapidly. As a consequence, the impact of human behaviors on system performance can no longer be ignored and should be reflected in the energy management system models. In this paper, we discuss the problem of distribution system voltage control by active power curtailment where the agent compliance of the load curtailment signal is probabilistic. We discuss the modeling of the optimal voltage control problem with probabilistic agent compliance as a chance-constrained optimization problem, its tractable safe approximation using convex restriction, and a scenario-based mixed-integer reformulation as well as the associated solution method based on augmented Lagrangian method. The numerical simulation on IEEE test system validates the effectiveness of the proposed approach in obtaining high-quality feasible load curtailment signal with low computational cost, which makes it a viable tool for real time decision making.

Research Organization:
National Renewable Energy Laboratory (NREL), Golden, CO (United States)
Sponsoring Organization:
USDOE National Renewable Energy Laboratory (NREL), Laboratory Directed Research and Development (LDRD) Program
DOE Contract Number:
AC36-08GO28308
OSTI ID:
2228319
Report Number(s):
NREL/CP-5D00-88170; MainId:88945; UUID:953fe1b8-a8cc-48ac-ae2b-b95d677ef155; MainAdminID:71170
Resource Relation:
Conference: Presented at the the 2023 IEEE Power & Energy Society General Meeting (PESGM), 16-20 July 2023, Orlando, Florida
Country of Publication:
United States
Language:
English

References (12)

A Generalized LinDistFlow Model for Power Flow Analysis conference December 2021
Chance-Constrained AC Optimal Power Flow: A Polynomial Chaos Approach journal November 2019
Convex Approximations of Chance Constrained Programs journal January 2007
Graph Algorithms for Topology Identification Using Power Grid Probing journal October 2018
Stochastic optimal power flow based on convex approximations of chance constraints conference August 2014
Distribution Voltage Regulation Through Active Power Curtailment With PV Inverters and Solar Generation Forecasts journal January 2017
Robust Optimization book December 2009
An Augmented Lagrangian Decomposition Method for Chance-Constrained Optimization Problems journal July 2021
Personalized optimization with user’s feedback journal September 2021
Distributed Personalized Gradient Tracking With Convex Parametric Models journal January 2023
A review on price-driven residential demand response journal November 2018
Data-driven modelling of energy demand response behaviour based on a large-scale residential trial journal June 2021