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arXiv · 2607.18500

Large-Signal Stability Analysis of Optimization-Based Secondary Control for Distributed Energy Resources

Vivek Khatana·Soham Chakraborty·Murti V. Salapaka
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Abstract

This article develops a large-signal stability analysis for a sampled-data optimization-based secondary controller for distributed energy resources (DERs) in power systems. The induced closed loop combines nonlinear inverter power-flow dynamics, filtered active and reactive power measurements, constrained optimization updates, and interpolation-based actuation between sampling instants. We study this optimization-in-the-loop nonlinear sampled-data system beyond local linearization. The analysis provides computable bounds on the voltage, filtered reactive power, and the secondary control input. We further characterize steady-state operating points and establish how the optimizer objectives and constraints connect voltage regulation with equal per-unitized reactive power sharing. Finally, input-to-state stability of the frequency dynamics is established with respect to DER voltages and control inputs. These results provide a rigorous mathematical foundation for sampled-data optimization-based secondary control of DERs.

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Vivek Khatana, Soham Chakraborty, Murti V. Salapaka. 2026-07-20. Large-Signal Stability Analysis of Optimization-Based Secondary Control for Distributed Energy Resources. https://arxiv.org/abs/2607.18500

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