Load Embeddings for Scalable AC-OPF Learning
- URL: http://arxiv.org/abs/2101.03973v1
- Date: Mon, 11 Jan 2021 15:28:38 GMT
- Title: Load Embeddings for Scalable AC-OPF Learning
- Authors: Terrence W.K. Mak and Ferdinando Fioretto and Pascal VanHentenryck
- Abstract summary: AC Optimal Power Flow (AC-OPF) is a building block in power system optimization.
Recent work has shown that deep learning can be effective in providing highly accurate approximations of AC-OPF.
This paper addresses these scalability limitations and proposes a load embedding scheme using a 3-step approach.
- Score: 46.79747973916068
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: AC Optimal Power Flow (AC-OPF) is a fundamental building block in power
system optimization. It is often solved repeatedly, especially in regions with
large penetration of renewable generation, to avoid violating operational
limits. Recent work has shown that deep learning can be effective in providing
highly accurate approximations of AC-OPF. However, deep learning approaches may
suffer from scalability issues, especially when applied to large realistic
grids. This paper addresses these scalability limitations and proposes a load
embedding scheme using a 3-step approach. The first step formulates the load
embedding problem as a bilevel optimization model that can be solved using a
penalty method. The second step learns the encoding optimization to quickly
produce load embeddings for new OPF instances. The third step is a deep
learning model that uses load embeddings to produce accurate AC-OPF
approximations. The approach is evaluated experimentally on large-scale test
cases from the NESTA library. The results demonstrate that the proposed
approach produces an order of magnitude improvements in training convergence
and prediction accuracy.
Related papers
- Data-Driven Stochastic AC-OPF using Gaussian Processes [0.0]
The thesis focuses on developing a data-driven algorithm, based on machine learning, to solve the alternating current (AC) chance-constrained (CC) Power Flow (OPF) problem.
arXiv Detail & Related papers (2024-02-17T19:30:33Z) - Dual Conic Proxies for AC Optimal Power Flow [16.02181642119643]
No existing learning-based approach can provide valid dual bounds for AC-OPF.
This paper addresses this gap by training optimization proxies for a convex relaxation of AC-OPF.
The paper combines this new architecture with a self-supervised learning scheme, which alleviates the need for costly training data generation.
arXiv Detail & Related papers (2023-10-04T17:06:30Z) - Unsupervised Deep Learning for AC Optimal Power Flow via Lagrangian
Duality [3.412750324146571]
AC optimal power flow is a fundamental optimization problem in power system analysis.
Deep learning based approaches have gained intensive attention to conduct the time-consuming training process offline.
This paper proposes an end-to-end unsupervised learning based framework for AC-OPF.
arXiv Detail & Related papers (2022-12-07T22:26:45Z) - Data-Driven Chance Constrained AC-OPF using Hybrid Sparse Gaussian
Processes [57.70237375696411]
The paper proposes a fast data-driven setup that uses the sparse and hybrid Gaussian processes (GP) framework to model the power flow equations with input uncertainty.
We advocate the efficiency of the proposed approach by a numerical study over multiple IEEE test cases showing up to two times faster and more accurate solutions.
arXiv Detail & Related papers (2022-08-30T09:27:59Z) - Efficient Few-Shot Object Detection via Knowledge Inheritance [62.36414544915032]
Few-shot object detection (FSOD) aims at learning a generic detector that can adapt to unseen tasks with scarce training samples.
We present an efficient pretrain-transfer framework (PTF) baseline with no computational increment.
We also propose an adaptive length re-scaling (ALR) strategy to alleviate the vector length inconsistency between the predicted novel weights and the pretrained base weights.
arXiv Detail & Related papers (2022-03-23T06:24:31Z) - DeepOPF-V: Solving AC-OPF Problems Efficiently [12.512036656559683]
Deep neural network-based voltage-constrained approach (DeepOPF-V) is proposed to find feasible solutions with high computational efficiency.
DeepOPF-V achieves speedup up to three orders of magnitude and has better performance in preserving the feasibility of the solution.
arXiv Detail & Related papers (2021-03-22T12:59:06Z) - Self Normalizing Flows [65.73510214694987]
We propose a flexible framework for training normalizing flows by replacing expensive terms in the gradient by learned approximate inverses at each layer.
This reduces the computational complexity of each layer's exact update from $mathcalO(D3)$ to $mathcalO(D2)$.
We show experimentally that such models are remarkably stable and optimize to similar data likelihood values as their exact gradient counterparts.
arXiv Detail & Related papers (2020-11-14T09:51:51Z) - Combining Deep Learning and Optimization for Security-Constrained
Optimal Power Flow [94.24763814458686]
Security-constrained optimal power flow (SCOPF) is fundamental in power systems.
Modeling of APR within the SCOPF problem results in complex large-scale mixed-integer programs.
This paper proposes a novel approach that combines deep learning and robust optimization techniques.
arXiv Detail & Related papers (2020-07-14T12:38:21Z) - Extrapolation for Large-batch Training in Deep Learning [72.61259487233214]
We show that a host of variations can be covered in a unified framework that we propose.
We prove the convergence of this novel scheme and rigorously evaluate its empirical performance on ResNet, LSTM, and Transformer.
arXiv Detail & Related papers (2020-06-10T08:22:41Z)
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.