ANOCA: AC Network-aware Optimal Curtailment Approach for Dynamic Hosting Capacity (2403.18085v3)
Abstract: With exponential growth in distributed energy resources (DERs) coupled with at-capacity distribution grid infrastructure, prosumers cannot always export all extra power to the grid without violating technical limits. Consequently, a slew of dynamic hosting capacity (DHC) algorithms have emerged for optimal utilization of grid infrastructure while maximizing export from DERs. Most of these DHC algorithms utilize the concept of operating envelopes (OE), where the utility gives prosumers technical power export limits, and they are free to export power within these limits. Recent studies have shown that OE-based frameworks have drawbacks, as most develop power export limits based on convex or linear grid models. As OEs must capture extreme operating conditions, both convex and linear models can violate technical limits in practice because they approximate grid physics. However, AC models are unsuitable because they may not be feasible within the whole region of OE. We propose a new two-stage optimization framework for DHC built on three-phase AC models to address the current gaps. In this approach, the prosumers first run a receding horizon multi-period optimization to identify optimal export power setpoints to communicate with the utility. The utility then performs an infeasibility-based optimization to either accept the prosumer's request or dispatch an optimal curtail signal such that overall system technical constraints are not violated. To explore various curtailment strategies, we develop an L1, L2, and Linf norm-based dispatch algorithm with an exact three-phase AC model. We test our framework on a 1420 three-phase node meshed distribution network and show that the proposed algorithm optimally curtails DERs while guaranteeing the AC feasibility of the network.
- M. Bollen and M. Häger, “Power quality: interactions between distributed energy resources, the grid, and other customers,” Leonardo Energy, 2005.
- F. Capitanescu, L. F. Ochoa, H. Margossian, and N. D. Hatziargyriou, “Assessing the potential of network reconfiguration to improve distributed generation hosting capacity in active distribution systems,” IEEE Transactions on Power Systems, vol. 30, no. 1, pp. 346–356, 2014.
- M. Z. Liu, L. F. Ochoa, P. K. Wong, and J. Theunissen, “Using opf-based operating envelopes to facilitate residential der services,” IEEE Transactions on Smart Grid, vol. 13, no. 6, pp. 4494–4504, 2022.
- Y. Yi and G. Verbič, “Fair operating envelopes under uncertainty using chance constrained optimal power flow,” Electric Power Systems Research, vol. 213, p. 108465, 2022.
- P. Astero and L. Söder, “Improving pv dynamic hosting capacity using adaptive controller for statcoms,” IEEE Transactions on Energy Conversion, vol. 34, no. 1, pp. 415–425, 2018.
- B. Liu and J. H. Braslavsky, “Robust dynamic operating envelopes for der integration in unbalanced distribution networks,” IEEE Transactions on Power Systems, p. 1–15, 2023.
- D. Gebbran, S. Mhanna, A. C. Chapman, and G. Verbič, “Multiperiod der coordination using admm-based three-block distributed ac optimal power flow considering inverter volt-var control,” IEEE Transactions on Smart Grid, 2022.
- M. Mahmoodi and L. Blackhall, “Der hosting capacity envelope in unbalanced distribution systems,” in 2021 IEEE PES Innovative Smart Grid Technologies Europe (ISGT Europe), pp. 1–6, IEEE, 2021.
- H. Moring and J. L. Mathieu, “Inexactness of second order cone relaxations for calculating operating envelopes,” in 2023 IEEE International Conference on Communications, Control, and Computing Technologies for Smart Grids (SmartGridComm), pp. 1–6, IEEE, 2023.
- N. Nazir and M. Almassalkhi, “Grid-aware aggregation and realtime disaggregation of distributed energy resources in radial networks,” IEEE Transactions on Power Systems, vol. 37, no. 3, pp. 1706–1717, 2021.
- E. Foster, A. Pandey, and L. Pileggi, “Three-phase infeasibility analysis for distribution grid studies,” Electric Power Systems Research, vol. 212, p. 108486, 2022.
- M. Jereminov, D. M. Bromberg, A. Pandey, X. Li, G. Hug, and L. Pileggi, “An equivalent circuit formulation for three-phase power flow analysis of distribution systems,” in 2016 IEEE/PES Transmission and Distribution Conference and Exposition (T&D), pp. 1–5, IEEE, 2016.
- P. A. Garcia, J. L. R. Pereira, S. Carneiro, V. M. Da Costa, and N. Martins, “Three-phase power flow calculations using the current injection method,” IEEE Transactions on power systems, vol. 15, no. 2, pp. 508–514, 2000.
- M. Jereminov, A. Pandey, and L. Pileggi, “Equivalent circuit formulation for solving ac optimal power flow,” IEEE Transactions on Power Systems, vol. 34, no. 3, pp. 2354–2365, 2018.
- M. Elsaadany and M. R. Almassalkhi, “Battery optimization for power systems: Feasibility and optimality,” in 2023 62nd IEEE Conference on Decision and Control (CDC), pp. 562–569, IEEE, 2023.
- T. McNamara, A. Pandey, A. Agarwal, and L. Pileggi, “Two-stage homotopy method to incorporate discrete control variables into ac-opf,” Electric Power Systems Research, vol. 212, p. 108283, 2022.
- M. Almassalkhi, S. Brahma, N. Nazir, H. Ossareh, P. Racherla, S. Kundu, S. P. Nandanoori, T. Ramachandran, A. Singhal, D. Gayme, et al., “Hierarchical, grid-aware, and economically optimal coordination of distributed energy resources in realistic distribution systems,” Energies, vol. 13, no. 23, p. 6399, 2020.
- International Energy Agency (IEA), “Real-time electricity tracker.” https://www.iea.org/data-and-statistics/data-tools/real-time-electricity-tracker, 2022.
- Accessed: 2023-01-07.
- Distribution System Analysis Subcommittee, IEEE 4 Node Test Feeder Revised. IEEE Power Engineering Society, Knoxville, TN, 9 2006. Revised September 19, 2006.
- K. Schneider, P. Phanivong, and J.-S. Lacroix, “Ieee 342-node low voltage networked test system,” in 2014 IEEE PES general meeting— conference & exposition, pp. 1–5, IEEE, 2014.
- A. Wächter and L. T. Biegler, “On the implementation of an interior-point filter line-search algorithm for large-scale nonlinear programming,” Mathematical programming, vol. 106, pp. 25–57, 2006.
- L. Gurobi Optimization, “Gurobi optimizer reference manual (2020),” 2021.
- D. P. Chassin, K. Schneider, and C. Gerkensmeyer, “Gridlab-d: An open-source power systems modeling and simulation environment,” in 2008 IEEE/PES Transmission and Distribution Conference and Exposition, pp. 1–5, IEEE, 2008.