Electrical Engineering and Systems Science > Systems and Control
[Submitted on 29 Jun 2022 (v1), last revised 23 Apr 2023 (this version, v2)]
Title:Continuous Switch Model and Heuristics for Mixed-Integer Problems in Power Systems
View PDFAbstract:Many power systems operation and planning computations (e.g., transmission and generation switching and placement) solve a mixed-integer nonlinear problem (MINLP) with binary variables representing the decision to connect devices to the grid. Binary variables with nonlinear AC network constraints make this problem NP-hard. For large real-world networks, obtaining an AC feasible optimum solution for these problems is computationally challenging and often unattainable with state-of-the-art tools today. In this work, we map the MINLP decision problem into a set of equivalent circuits by representing binary variables with a circuit-based continuous switch model. We characterize the continuous switch model by a controlled nonlinear impedance that more closely mimics the physical behavior of a real-world switch. This mapping effectively transforms the MINLP problem into an NLP problem. We mathematically show that this transformation is a tight relaxation of the MINLP problem. For fast and robust convergence, we develop physics-driven homotopy and Newton-Raphson damping methods. To validate this approach, we empirically show robust convergences for large, realistic systems ($>$ 70,000 buses) in a practical wall-clock time to an AC-feasible optimum. We compare our results and show improvement over industry-standard tools and other binary relaxation methods.
Submission history
From: Aayushya Agarwal [view email][v1] Wed, 29 Jun 2022 10:06:12 UTC (1,060 KB)
[v2] Sun, 23 Apr 2023 12:23:21 UTC (9,152 KB)
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