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Main Authors: Schmitt, Victor, Pourahmadi, Farzaneh, Flores-Quiroz, Angela, Apablaza, Pablo, Mancarella, Pierluigi
Format: Preprint
Published: 2026
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Online Access:https://arxiv.org/abs/2604.17026
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author Schmitt, Victor
Pourahmadi, Farzaneh
Flores-Quiroz, Angela
Apablaza, Pablo
Mancarella, Pierluigi
author_facet Schmitt, Victor
Pourahmadi, Farzaneh
Flores-Quiroz, Angela
Apablaza, Pablo
Mancarella, Pierluigi
contents Transmission expansion planning (TEP) plays a critical role in ensuring power system reliability and facilitating the integration of renewable energy resources. However, this process requires planners to constantly deal with significant uncertainty. While multistage stochastic TEP models provide a robust framework for identifying investment plans under uncertainty, the rapid growth in problem size hinders their computational tractability. To address this challenge, this paper develops a hybrid machine learning-optimisation framework for stochastic TEP. The proposed approach uses investment decisions and uncertainty scenarios as input features to train surrogate neural networks, which are then reformulated as mixed-integer linear constraints and embedded within an optimisation model. The surrogate model approximates expected operational costs to inform TEP decisions, reducing the burden arising from large operational problems. Case study applications on IEEE test systems demonstrate that, after training, the proposed approach achieves near-optimal investment costs while reducing total computational time by up to a factor of around 13 compared to a single full-optimisation stochastic formulation. This enables performing extensive multi-scenario analysis and stress testing that would otherwise be computationally prohibitive at scale.
format Preprint
id arxiv_https___arxiv_org_abs_2604_17026
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Learning a Non-linear Surrogate Model for Multistage Stochastic Transmission Planning
Schmitt, Victor
Pourahmadi, Farzaneh
Flores-Quiroz, Angela
Apablaza, Pablo
Mancarella, Pierluigi
Systems and Control
Transmission expansion planning (TEP) plays a critical role in ensuring power system reliability and facilitating the integration of renewable energy resources. However, this process requires planners to constantly deal with significant uncertainty. While multistage stochastic TEP models provide a robust framework for identifying investment plans under uncertainty, the rapid growth in problem size hinders their computational tractability. To address this challenge, this paper develops a hybrid machine learning-optimisation framework for stochastic TEP. The proposed approach uses investment decisions and uncertainty scenarios as input features to train surrogate neural networks, which are then reformulated as mixed-integer linear constraints and embedded within an optimisation model. The surrogate model approximates expected operational costs to inform TEP decisions, reducing the burden arising from large operational problems. Case study applications on IEEE test systems demonstrate that, after training, the proposed approach achieves near-optimal investment costs while reducing total computational time by up to a factor of around 13 compared to a single full-optimisation stochastic formulation. This enables performing extensive multi-scenario analysis and stress testing that would otherwise be computationally prohibitive at scale.
title Learning a Non-linear Surrogate Model for Multistage Stochastic Transmission Planning
topic Systems and Control
url https://arxiv.org/abs/2604.17026