Topology-aware Graph Neural Networks for Learning Feasible and Adaptive
ac-OPF Solutions
- URL: http://arxiv.org/abs/2205.10129v1
- Date: Mon, 16 May 2022 23:36:37 GMT
- Title: Topology-aware Graph Neural Networks for Learning Feasible and Adaptive
ac-OPF Solutions
- Authors: Shaohui Liu, Chengyang Wu, Hao Zhu
- Abstract summary: We develop a new topology-informed graph neural network (GNN) approach for predicting the optimal solutions of ac-OPF problem.
To incorporate grid topology to the NN model, the proposed GNN-for-OPF framework exploits the locality property of locational marginal prices and voltage magnitude.
The advantages of our proposed designs include reduced model complexity, improved generalizability and feasibility guarantees.
- Score: 18.63828570982923
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: Solving the optimal power flow (OPF) problem is a fundamental task to ensure
the system efficiency and reliability in real-time electricity grid operations.
We develop a new topology-informed graph neural network (GNN) approach for
predicting the optimal solutions of real-time ac-OPF problem. To incorporate
grid topology to the NN model, the proposed GNN-for-OPF framework innovatively
exploits the locality property of locational marginal prices and voltage
magnitude. Furthermore, we develop a physics-aware (ac-)flow feasibility
regularization approach for general OPF learning. The advantages of our
proposed designs include reduced model complexity, improved generalizability
and feasibility guarantees. By providing the analytical understanding on the
graph subspace stability under grid topology contingency, we show the proposed
GNN can quickly adapt to varying grid topology by an efficient re-training
strategy. Numerical tests on various test systems of different sizes have
validated the prediction accuracy, improved flow feasibility, and topology
adaptivity capability of our proposed GNN-based learning framework.
Related papers
- Constraints and Variables Reduction for Optimal Power Flow Using Hierarchical Graph Neural Networks with Virtual Node-Splitting [0.24554686192257422]
Power system networks are often modeled as homogeneous graphs, which limits the ability of graph neural network (GNN) to capture individual generator features at the same nodes.
By introducing the proposed virtual node-splitting strategy, generator-level attributes like costs, limits, and ramp rates can be fully captured by GNN models.
Two-stage adaptive hierarchical GNN is developed to (i) predict critical lines that would be congested, and then (ii) predict base generators that would operate at the maximum capacity.
arXiv Detail & Related papers (2024-11-09T19:46:28Z) - Graph Neural Network-Accelerated Network-Reconfigured Optimal Power Flow [0.24554686192257422]
This paper proposes a machine learning (ML)-based approach, particularly utilizing graph neural network (GNN)
The GNN model is trained offline to predict the best topology before entering the optimization stage.
A fast online post-ML selection layer is also proposed to analyze GNN predictions and then select a subset of predicted NR solutions with high confidence.
arXiv Detail & Related papers (2024-10-22T22:35:09Z) - DFA-GNN: Forward Learning of Graph Neural Networks by Direct Feedback Alignment [57.62885438406724]
Graph neural networks are recognized for their strong performance across various applications.
BP has limitations that challenge its biological plausibility and affect the efficiency, scalability and parallelism of training neural networks for graph-based tasks.
We propose DFA-GNN, a novel forward learning framework tailored for GNNs with a case study of semi-supervised learning.
arXiv Detail & Related papers (2024-06-04T07:24:51Z) - Edge Rewiring Goes Neural: Boosting Network Resilience via Policy
Gradient [62.660451283548724]
ResiNet is a reinforcement learning framework to discover resilient network topologies against various disasters and attacks.
We show that ResiNet achieves a near-optimal resilience gain on multiple graphs while balancing the utility, with a large margin compared to existing approaches.
arXiv Detail & Related papers (2021-10-18T06:14:28Z) - Leveraging power grid topology in machine learning assisted optimal
power flow [0.5076419064097734]
Machine learning assisted optimal power flow (OPF) aims to reduce the computational complexity of non-linear and non- constrained power flow problems.
We assess the performance of a variety of FCNN, CNN and GNN models for two fundamental approaches to machine assisted OPF.
For several synthetic grids with interconnected utilities, we show that locality properties between feature and target variables are scarce.
arXiv Detail & Related papers (2021-10-01T10:39:53Z) - Graph Neural Networks for Learning Real-Time Prices in Electricity
Market [21.402299307739558]
We propose a new graph neural network (GNN) framework for predicting the electricity market prices from solving OPFs.
The proposed GNN-for-OPF framework innovatively exploits the locality property of prices and introduces physics-aware regularization.
Numerical tests have validated the learning efficiency and adaptivity improvements of our proposed method over existing approaches.
arXiv Detail & Related papers (2021-06-19T16:34:56Z) - Learning to Solve the AC-OPF using Sensitivity-Informed Deep Neural
Networks [52.32646357164739]
We propose a deep neural network (DNN) to solve the solutions of the optimal power flow (ACOPF)
The proposed SIDNN is compatible with a broad range of OPF schemes.
It can be seamlessly integrated in other learning-to-OPF schemes.
arXiv Detail & Related papers (2021-03-27T00:45:23Z) - A Meta-Learning Approach to the Optimal Power Flow Problem Under
Topology Reconfigurations [69.73803123972297]
We propose a DNN-based OPF predictor that is trained using a meta-learning (MTL) approach.
The developed OPF-predictor is validated through simulations using benchmark IEEE bus systems.
arXiv Detail & Related papers (2020-12-21T17:39:51Z) - Deep learning architectures for inference of AC-OPF solutions [0.4061135251278187]
We present a systematic comparison between neural network (NN) architectures for inference of AC-OPF solutions.
We demonstrate the efficacy of leveraging network topology in the models by constructing abstract representations of electrical grids in the graph domain.
arXiv Detail & Related papers (2020-11-06T13:33:18Z) - Modeling from Features: a Mean-field Framework for Over-parameterized
Deep Neural Networks [54.27962244835622]
This paper proposes a new mean-field framework for over- parameterized deep neural networks (DNNs)
In this framework, a DNN is represented by probability measures and functions over its features in the continuous limit.
We illustrate the framework via the standard DNN and the Residual Network (Res-Net) architectures.
arXiv Detail & Related papers (2020-07-03T01:37:16Z) - Resource Allocation via Graph Neural Networks in Free Space Optical
Fronthaul Networks [119.81868223344173]
This paper investigates the optimal resource allocation in free space optical (FSO) fronthaul networks.
We consider the graph neural network (GNN) for the policy parameterization to exploit the FSO network structure.
The primal-dual learning algorithm is developed to train the GNN in a model-free manner, where the knowledge of system models is not required.
arXiv Detail & Related papers (2020-06-26T14:20:48Z)
This list is automatically generated from the titles and abstracts of the papers in this site.
This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.