4.7 Article

Explicit Data-Driven Small-Signal Stability Constrained Optimal Power Flow

Journal

IEEE TRANSACTIONS ON POWER SYSTEMS
Volume 37, Issue 5, Pages 3726-3737

Publisher

IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TPWRS.2021.3135657

Keywords

Power system stability; Thermal stability; Generators; Stability criteria; Numerical stability; Support vector machines; Voltage; Optimal power flow; small-signal stability; sensitivity analysis; support vector machine

Funding

  1. National Key R&D Program of China [2021YFE0191000]
  2. National Natural Science Foundation of China [52077016, TPWRS-00706-2021]

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This paper proposes a data-driven small-signal stability constrained optimal power flow (SSSC-OPF) method with high computational efficiency. The method avoids repeating the computational expense small-signal stability analysis during the iterative OPF process and instead develops a computationally cheap surrogate constraint. By using an efficient sample generation strategy and support vector machine (SVM), the small-signal stability constraint is learned and embedded into the OPF model for generator control.
This paper proposes a data-driven small-signal stability constrained optimal power flow (SSSC-OPF) method with high computational efficiency. Instead of repeating the computational expense small-signal stability analysis via differential and algebraic equations during the iterative OPF process, a computationally cheap surrogate constraint for small-signal stability is developed. To reduce the learning difficulty for small-signal stability boundaries, an efficient sample generation strategy is proposed with sampling space compression. This allows us to use the support vector machine (SVM) with a kernel function to derive the explicit data-driven surrogate constraint for small-signal stability. Penalty factor optimization is proposed to compensate for the error caused by SVM. The learned small-signal stability constraint is embedded into the OPF model for generator control. An examination strategy is also developed to avoid the small-signal instability of re-dispatch caused by the error of the data-driven surrogate model. Comparison results with other model-based and data-driven methods on the IEEE 39-bus and 118-bus systems demonstrate the high computational efficiency and economic benefits of the proposed method.

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