학술논문

Sample-Efficient Learning for a Surrogate Model of Three-Phase Distribution System
Document Type
Periodical
Source
IEEE Transactions on Power Systems IEEE Trans. Power Syst. Power Systems, IEEE Transactions on. 39(1):2361-2364 Jan, 2024
Subject
Power, Energy and Industry Applications
Components, Circuits, Devices and Systems
Training
Load modeling
Mathematical models
Testing
Predictive models
Voltage control
Computational modeling
Machine learning
stochastic gradient descent
surrogate model
three-phase distribution system
Language
ISSN
0885-8950
1558-0679
Abstract
A surrogate model that accurately predicts distribution system voltages is crucial for reliable smart grid planning and operation. This letter proposes a fixed-point data-driven surrogate modeling method that employs a limited dataset to learn the power-voltage relationship of an unbalanced three-phase distribution system. The proposed surrogate model is designed using a fixed-point load-flow equation, and the stochastic gradient descent method with an automatic differentiation technique is employed to update the parameters of the surrogate model using complex power and voltage samples. Numerical examples in IEEE 13-bus, 37-bus, and 123-bus systems demonstrate that the proposed surrogate model can outperform surrogate models based on the deep neural network and Gaussian process regarding prediction accuracy and sample efficiency.