Data-Driven Local Control Design for Active Distribution Grids Using Off-Line Optimal Power Flow and Machine Learning Techniques

The optimal control of distribution networks often requires monitoring and communication infrastructure, either centralized or distributed. However, most of the current distribution systems lack this kind of infrastructure and rely on sub-optimal, fit-and-forget, local controls to ensure the security of the network. In this paper, we propose a data-driven algorithm that uses historical data, advanced optimization techniques, and machine learning methods to design local controls that emulate the optimal behavior without the use of any communication. We demonstrate the performance of the optimized local control on a three-phase, unbalanced, low-voltage, distribution network. The results show that our data-driven methodology clearly outperforms standard industry local control and successfully imitates an optimal-power-flow-based control.

[1]  V. Muggeo Estimating regression models with unknown break‐points , 2003, Statistics in medicine.

[2]  Yi Guo,et al.  Data-Based Distributionally Robust Stochastic Optimal Power Flow—Part II: Case Studies , 2018, IEEE Transactions on Power Systems.

[3]  Line A. Roald,et al.  Stochastic AC optimal power flow with approximate chance-constraints , 2016, 2016 IEEE Power and Energy Society General Meeting (PESGM).

[4]  Yi Guo,et al.  Data-Based Distributionally Robust Stochastic Optimal Power Flow—Part I: Methodologies , 2018, IEEE Transactions on Power Systems.

[5]  Damien Ernst,et al.  Active Management of Low-Voltage Networks for Mitigating Overvoltages Due to Photovoltaic Units , 2016, IEEE Transactions on Smart Grid.

[6]  Stefano Barsali,et al.  Benchmark systems for network integration of renewable and distributed energy resources , 2014 .

[7]  Daniel K. Molzahn,et al.  Investigation of Non-zero Duality Gap Solutions to a Semidefinite Relaxation of the Optimal Power Flow Problem , 2014, 2014 47th Hawaii International Conference on System Sciences.

[8]  Sandro Zampieri,et al.  A Distributed Control Strategy for Reactive Power Compensation in Smart Microgrids , 2011, IEEE Transactions on Automatic Control.

[9]  S. Low,et al.  Zero Duality Gap in Optimal Power Flow Problem , 2012, IEEE Transactions on Power Systems.

[10]  Gabriela Hug,et al.  Optimal planning of distribution grids considering active power curtailment and reactive power control , 2016, 2016 IEEE Power and Energy Society General Meeting (PESGM).

[11]  Gabriela Hug,et al.  Hybrid approach for planning and operating active distribution grids , 2016, 1610.07863.

[12]  Claire J. Tomlin,et al.  Regression-based Inverter Control for Decentralized Optimal Power Flow and Voltage Regulation , 2019, ArXiv.

[13]  Gabriela Hug,et al.  Operational Planning of Active Distribution Grids under Uncertainty , 2017 .

[14]  Göran Andersson,et al.  Optimal sizing and placement of distributed storage in low voltage networks , 2016, 2016 Power Systems Computation Conference (PSCC).

[15]  Michael Chertkov,et al.  Chance-Constrained Optimal Power Flow: Risk-Aware Network Control under Uncertainty , 2012, SIAM Rev..

[16]  Gabriela Hug,et al.  A Centralised Control Method for Tackling Unbalances in Active Distribution Grids , 2018, 2018 Power Systems Computation Conference (PSCC).

[17]  J. Lofberg,et al.  YALMIP : a toolbox for modeling and optimization in MATLAB , 2004, 2004 IEEE International Conference on Robotics and Automation (IEEE Cat. No.04CH37508).

[18]  Göran Andersson,et al.  Chance-Constrained AC Optimal Power Flow: Reformulations and Efficient Algorithms , 2017, IEEE Transactions on Power Systems.

[19]  Ahmed S. Zamzam,et al.  Beyond Relaxation and Newton–Raphson: Solving AC OPF for Multi-Phase Systems With Renewables , 2016, IEEE Transactions on Smart Grid.

[20]  Math Bollen IEEE Richard Harold Kaufmann Award Call for Nominations , 2002 .

[21]  J. Teng A direct approach for distribution system load flow solutions , 2003 .

[22]  R Tonkoski,et al.  Coordinated Active Power Curtailment of Grid Connected PV Inverters for Overvoltage Prevention , 2011, IEEE Transactions on Sustainable Energy.

[23]  Florian Dörfler,et al.  Fast power system analysis via implicit linearization of the power flow manifold , 2015, 2015 53rd Annual Allerton Conference on Communication, Control, and Computing (Allerton).

[24]  R. M. Ciric,et al.  EVALUATION OF DISTRIBUTION SYSTEM LOSSES DUE TO LOAD UNBALANCE , 2005 .

[25]  D. Molzahn,et al.  Power System Optimization with Uncertainty and AC Power Flow: Analysis of an Iterative Algorithm , 2017 .

[26]  Gabriela Hug,et al.  Optimized Local Control for Active Distribution Grids using Machine Learning Techniques , 2018, 2018 IEEE Power & Energy Society General Meeting (PESGM).

[27]  Federico Girosi,et al.  Support Vector Machines: Training and Applications , 1997 .

[28]  Goran Andersson,et al.  Analytical reformulation of security constrained optimal power flow with probabilistic constraints , 2013, 2013 IEEE Grenoble Conference.

[29]  Nikos Hatziargyriou,et al.  Review, analysis and recommendations on recent guidelines for the provision of ancillary services by Distributed Generation , 2013, 2013 IEEE International Workshop on Inteligent Energy Systems (IWIES).

[30]  David Fridovich-Keil,et al.  Data-Driven Decentralized Optimal Power Flow , 2018, ArXiv.

[31]  Nikolaos Gatsis,et al.  KERNEL-BASED LEARNING FOR SMART INVERTER CONTROL , 2018, 2018 IEEE Global Conference on Signal and Information Processing (GlobalSIP).

[32]  Goran Andersson,et al.  Security Constrained Optimal Power Flow with Distributionally Robust Chance Constraints , 2015 .

[33]  William Kersting,et al.  Distribution System Modeling and Analysis , 2001, Electric Power Generation, Transmission, and Distribution: The Electric Power Engineering Handbook.

[34]  Gabriela Hug,et al.  Co-optimisation of planning and operation for active distribution grids , 2017, 2017 IEEE Manchester PowerTech.

[35]  Thierry Van Cutsem,et al.  Contribution to Bulk System Control and Stability by Distributed Energy Resources connected at Distribution Network , 2017 .

[36]  Ian A. Hiskens,et al.  Sparsity-Exploiting Moment-Based Relaxations of the Optimal Power Flow Problem , 2014, IEEE Transactions on Power Systems.

[37]  Robert Tibshirani,et al.  The Elements of Statistical Learning: Data Mining, Inference, and Prediction, 2nd Edition , 2001, Springer Series in Statistics.