Abstract
In this article, we study the monitoring and control of long-term voltage stability considering load tap changer (LTC) dynamics. We show that under generic conditions, the LTC dynamics admit a unique stable equilibrium. For the stable equilibrium, we characterize an explicit inner approximation of its largest region of attraction (ROA). Compared to existing results, the computational complexity of the ROA characterization is drastically reduced. We propose a quadratically constrained linear program formulation for the ROA characterization problem. In addition, we formulate a second-order cone program for online voltage stability monitoring and control exploiting the proposed ROA characterization. We demonstrate the efficacy of the proposed formulations on the ROA characterization and stability monitoring and control using a standard IEEE test system.
Original language | American English |
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Pages (from-to) | 1506-1517 |
Number of pages | 12 |
Journal | IEEE Transactions on Control of Network Systems |
Volume | 9 |
Issue number | 3 |
DOIs | |
State | Published - 2022 |
Bibliographical note
Publisher Copyright:2325-5870 © 2022 IEEE.
NREL Publication Number
- NREL/JA-5D00-84153
Keywords
- Nonlinear dynamical systems
- power flow
- power system dynamics
- power system stability