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Main Author: Abdullah, Mohammed Ezzaldin Babiker
Format: Preprint
Published: 2026
Subjects:
Online Access:https://arxiv.org/abs/2604.11807
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author Abdullah, Mohammed Ezzaldin Babiker
author_facet Abdullah, Mohammed Ezzaldin Babiker
contents The stable operation of off-grid photovoltaic systems requires accurate, computationally efficient solar forecasting. Contemporary deep learning models often suffer from massive computational overhead and physical blindness, generating impossible predictions. This paper introduces the Physics-Informed State Space Model (PISSM) to bridge the gap between efficiency and physical accuracy for edge-deployed microcontrollers. PISSM utilizes a dynamic Hankel matrix embedding to filter stochastic sensor noise by transforming raw meteorological sequences into a robust state space. A Linear State Space Model replaces heavy attention mechanisms, efficiently modeling temporal dependencies for parallel processing. Crucially, a novel Physics-Informed Gating mechanism leverages the Solar Zenith Angle and Clearness Index to structurally bound outputs, ensuring predictions strictly obey diurnal cycles and preventing nocturnal errors. Validated on a multi-year dataset for Omdurman, Sudan, PISSM achieves superior accuracy with fewer than 40,000 parameters, establishing an ultra-lightweight benchmark for real-time off-grid control.
format Preprint
id arxiv_https___arxiv_org_abs_2604_11807
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Physics-Informed State Space Models for Reliable Solar Irradiance Forecasting in Off-Grid Systems
Abdullah, Mohammed Ezzaldin Babiker
Machine Learning
Artificial Intelligence
Systems and Control
The stable operation of off-grid photovoltaic systems requires accurate, computationally efficient solar forecasting. Contemporary deep learning models often suffer from massive computational overhead and physical blindness, generating impossible predictions. This paper introduces the Physics-Informed State Space Model (PISSM) to bridge the gap between efficiency and physical accuracy for edge-deployed microcontrollers. PISSM utilizes a dynamic Hankel matrix embedding to filter stochastic sensor noise by transforming raw meteorological sequences into a robust state space. A Linear State Space Model replaces heavy attention mechanisms, efficiently modeling temporal dependencies for parallel processing. Crucially, a novel Physics-Informed Gating mechanism leverages the Solar Zenith Angle and Clearness Index to structurally bound outputs, ensuring predictions strictly obey diurnal cycles and preventing nocturnal errors. Validated on a multi-year dataset for Omdurman, Sudan, PISSM achieves superior accuracy with fewer than 40,000 parameters, establishing an ultra-lightweight benchmark for real-time off-grid control.
title Physics-Informed State Space Models for Reliable Solar Irradiance Forecasting in Off-Grid Systems
topic Machine Learning
Artificial Intelligence
Systems and Control
url https://arxiv.org/abs/2604.11807