Solving AC Power Flow with Graph Neural Networks under Realistic Constraints

Abstract

In this paper, we propose a graph neural network architecture to solve the AC power flow problem under realistic constraints. To ensure a safe and resilient operation of distribution grids, AC power flow calculations are the means of choice to determine grid operating limits or analyze grid asset utilization in planning procedures. In our approach, we demonstrate the development of a framework that uses graph neural networks to learn the physical constraints of the power flow. We present our model architecture on which we perform unsupervised training to learn a general solution of the AC power flow formulation independent of the specific topologies and supply tasks used for training. Finally, we demonstrate, validate and discuss our results on medium voltage benchmark grids. In our approach, we focus on the physical and topological properties of distribution grids to provide scalable solutions for real grid topologies. Therefore, we take a data-driven approach, using large and diverse data sets consisting of realistic grid topologies, for the unsupervised training of the AC power flow graph neural network architecture and compare the results to a prior neural architecture and the Newton-Raphson method. Our approach shows a high increase in computation time and good accuracy compared to state-of-the-art solvers. It also out-performs that neural solver for power flow in terms of accuracy.

Authors 8

1. Luis Böttcher Aachen

   RWTH Aachen University

   Affiliation as printed

   IAEW RWTH Aachen University,Aachen,Germany

   IAEW RWTH Aachen University, Aachen, Germany

2. Hinrikus Wolf Aachen Computer Science

   RWTH Aachen University

   Affiliation as printed

   RWTH Aachen University,Computer Science,Aachen,Germany

   Computer Science, RWTH Aachen University, Aachen, Germany

3. Bastian Jung Aachen

   RWTH Aachen University

   Affiliation as printed

   IAEW RWTH Aachen University,Aachen,Germany

   IAEW RWTH Aachen University, Aachen, Germany

4. Philipp Lutat Aachen

   RWTH Aachen University

   Affiliation as printed

   IAEW RWTH Aachen University,Aachen,Germany

   IAEW RWTH Aachen University, Aachen, Germany

5. Marc Trageser Aachen

   RWTH Aachen University

   Affiliation as printed

   IAEW RWTH Aachen University,Aachen,Germany

   IAEW RWTH Aachen University, Aachen, Germany

6. Xiaohu Tao

   E.ON (Germany)

   Affiliation as printed

   E.ON SE,Essen,Germany

   E.ON SE, Essen, Germany

7. Andreas Ulbig Aachen

   RWTH Aachen University

   Affiliation as printed

   IAEW RWTH Aachen University,Aachen,Germany

   IAEW RWTH Aachen University, Aachen, Germany

8. Martin Grohe Aachen Computer Science

   RWTH Aachen University

   Affiliation as printed

   RWTH Aachen University,Computer Science,Aachen,Germany

   Computer Science, RWTH Aachen University, Aachen, Germany