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Optimal Power Flow With State Estimation in the Loop for Distribution Networks

Journal Article · · IEEE Systems Journal
 [1];  [2];  [3];  [4];  [5]
  1. Eidgenoessische Technische Hochschule (ETH), Zurich (Switzerland)
  2. National Renewable Energy Laboratory (NREL), Golden, CO (United States)
  3. Chinese University of Hong Kong (China)
  4. University of Colorado, Boulder, CO (United States)
  5. University of Texas at Dallas, Richardson, TX (United States)

Here in this article, we propose a framework for running optimal control-estimation synthesis in distribution networks. Our approach combines a primal-dual gradient-based optimal power flow solver with a state estimation feedback loop based on a limited set of sensors for system monitoring, instead of assuming exact knowledge of all states. The estimation algorithm reduces uncertainty on unmeasured grid states based on certain online state measurements and noisy "pseudomeasurements." We analyze the convergence of the proposed algorithm and quantify the statistical estimation errors based on a weighted least-squares estimator. The numerical results on a 4521-node network demonstrate that this approach can scale to extremely large networks and provide robustness to both large pseudomeasurement variability and inherent sensor measurement noise.

Research Organization:
National Renewable Energy Laboratory (NREL), Golden, CO (United States)
Sponsoring Organization:
USDOE Office of Energy Efficiency and Renewable Energy (EERE), Renewable Power Office. Solar Energy Technologies Office; ETH Zürich Postdoctoral Fellowship; Hong Kong RGC Early Career; National Science Foundation (NSF)
Grant/Contract Number:
AC36-08GO28308; EE0007998
OSTI ID:
1971902
Report Number(s):
NREL/JA--5D00-86083; MainId:86856; UUID:802717ec-0ad9-40e9-853d-e819511045e6; MainAdminID:69376
Journal Information:
IEEE Systems Journal, Journal Name: IEEE Systems Journal Journal Issue: 3 Vol. 17; ISSN 1932-8184
Publisher:
IEEECopyright Statement
Country of Publication:
United States
Language:
English

References (47)

Optimal power flow using particle swarm optimization journal October 2002
Fast power system analysis via implicit linearization of the power flow manifold
  • Bolognani, Saverio; Dorfler, Florian
  • 2015 53rd Annual Allerton Conference on Communication, Control and Computing (Allerton), 2015 53rd Annual Allerton Conference on Communication, Control, and Computing (Allerton) https://doi.org/10.1109/allerton.2015.7447032
conference September 2015
Network Observability: Theory journal May 1985
Convex Relaxation of Optimal Power Flow—Part I: Formulations and Equivalence journal March 2014
Optimal Load Flow with Steady-State Security journal May 1974
A Game-Theoretic Data-Driven Approach for Pseudo-Measurement Generation in Distribution System State Estimation text January 2018
Power system state estimation: a survey journal April 1990
Optimal power flow using particle swarm optimization journal October 2002
Asynchronous distributed voltage control in active distribution networks journal December 2020
A composable method for real-time control of active distribution networks with explicit power setpoints. Part I: Framework journal August 2015
State estimator for electrical distribution systems based on an optimization model journal November 2017
Stochastic optimal power flow based on conditional value at risk and distributional robustness journal November 2015
Multi-terminal phase-changing soft open point SDP modeling for imbalance mitigation in active distribution networks journal November 2022
Distribution system state estimation-A step towards smart grid journal January 2018
A fast distributed implementation of optimal power flow journal January 1999
Linear approximations to AC power flow in rectangular coordinates
  • Dhople, Sairaj V.; Guggilam, Swaroop S.; Chen, Yu Christine
  • 2015 53rd Annual Allerton Conference on Communication, Control and Computing (Allerton), 2015 53rd Annual Allerton Conference on Communication, Control, and Computing (Allerton) https://doi.org/10.1109/ALLERTON.2015.7447006
conference September 2015
Linear power-flow models in multiphase distribution networks conference September 2017
An Online Gradient Algorithm for Optimal Power Flow on Radial Networks journal March 2016
Distribution System State Estimation Using PV Separation Strategy in LV Feeders With High Levels of Unmonitored PV Generation journal March 2023
Moving-Horizon State Estimation for Power Networks and Synchronous Generators conference October 2022
Distributed Reactive Power Feedback Control for Voltage Regulation and Loss Minimization journal April 2015
An Incentive-Based Online Optimization Framework for Distribution Grids journal July 2018
Convex Relaxation of Optimal Power Flow—Part I: Formulations and Equivalence journal March 2014
Online Optimization as a Feedback Controller: Stability and Tracking journal March 2020
Real-Time Feedback-Based Optimization of Distribution Grids: A Unified Approach journal September 2019
Feedback Power Cost Optimization in Power Distribution Networks With Prosumers journal December 2022
Observers for Differential Algebraic Equation Models of Power Networks: Jointly Estimating Dynamic and Algebraic States journal September 2022
Optimal Power Flow Solutions journal October 1968
Power System Static-State Estimation, Part I: Exact Model journal January 1970
Optimal Load Flow with Steady-State Security journal May 1974
Network Observability: Theory journal May 1985
Real Time Estimation of Loads in Radial and Unsymmetrical Three-Phase Distribution Networks journal November 2013
A Review on Distribution System State Estimation journal September 2017
Data-Driven Learning-Based Optimization for Distribution System State Estimation journal November 2019
Accelerated Voltage Regulation in Multi-Phase Distribution Networks Based on Hierarchical Distributed Algorithm journal May 2020
An Online Feedback-Based Linearized Power Flow Model for Unbalanced Distribution Networks journal September 2022
Online Voltage Control for Unbalanced Distribution Networks Using Projected Newton Method journal November 2022
Optimal Co-Planning of ESSs and Line Reinforcement Considering the Dispatchability of Active Distribution Networks journal May 2023
Trade-Offs in PMU Deployment for State Estimation in Active Distribution Grids journal June 2012
Optimal Power Flow Pursuit journal March 2018
A Survey on State Estimation Techniques and Challenges in Smart Distribution Systems journal March 2019
A Game-Theoretic Data-Driven Approach for Pseudo-Measurement Generation in Distribution System State Estimation journal November 2019
Gradient-Based Multi-Area Distribution System State Estimation journal November 2020
Optimal Co-Planning of ESSs and Line Reinforcement Considering the Dispatchability of Active Distribution Networks journal May 2023
Multiuser Optimization: Distributed Algorithms and Error Analysis journal July 2011
A Survey of Relaxations and Approximations of the Power Flow Equations journal January 2019
Solving Optimal Power Flow for Distribution Networks with State Estimation Feedback conference July 2020

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