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Towards more reliable flux density prediction using uncertainty quantification of neural networks

Sievers, Leon Tim Engelbert and Maldonado Quinto, Daniel and Hoffschmidt, Bernhard (2025) Towards more reliable flux density prediction using uncertainty quantification of neural networks. Solar Energy, 300, p. 113739. Elsevier. doi: 10.1016/j.solener.2025.113739. ISSN 0038-092X.

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Official URL: https://www.sciencedirect.com/journal/solar-energy

Abstract

Solar tower power plants represent a renewable source of dispatchable energy. By concentrating incoming sunlight via tens of thousands of heliostats, they render large amounts of energy in the form of heat that is usable as a source of electricity or in an industrial context. In this work, we propose an uncertainty-aware prediction framework using Monte-Carlo Dropout and a random forest classifier to flag unreliable flux predictions of said heliostats. Precise knowledge about the shape and position of the heliostat’s reflections is crucial to an efficient and safe operation of the plant. As their facets exhibit surface imperfections and the reflections span distances of hundreds of meters, the flux density distributions generated by a heliostat’s reflection on the receiver differ greatly from an assumed ideal. Occlusion caused by shading or blocking, rare misalignment scenarios or extreme flux distributions represent edge cases for flux density prediction. Therefore, each heliostat bears an individual behavior concerning the produced flux density distribution. To predict this individual behavior, researchers have employed data-driven methods showing an improvement over state-of-the-art approaches by allowing a seamless integration into the calibration process of the camera-target method using the same calibration images as training data. Their approach shows strong performance, with an error analysis yielding an estimate of 4.5%, where the neural network contributes 1.5%. However, the analysis uses the network’s mean training error as a component, leaving edge cases unanswered. As neural networks are uninterpretable models, their integration into safety-critical operations requires thorough uncertainty analysis. In our work, our aim is to equip the data-driven approach with a layer of security by reasoning about network uncertainties, resulting in an algorithm that filters out certain samples to increase the predictive qualities of the overall process.

Item URL in elib:https://elib.dlr.de/218168/
Document Type:Article
Title:Towards more reliable flux density prediction using uncertainty quantification of neural networks
Authors:
AuthorsInstitution or Email of AuthorsAuthor's ORCID iDORCID Put Code
Sievers, Leon Tim Engelbertl.sievers (at) dlr.dehttps://orcid.org/0009-0006-2095-9923UNSPECIFIED
Maldonado Quinto, DanielDaniel.MaldonadoQuinto (at) dlr.dehttps://orcid.org/0000-0003-2929-8667195570865
Hoffschmidt, BernhardBernhard.Hoffschmidt (at) dlr.deUNSPECIFIEDUNSPECIFIED
Date:1 November 2025
Journal or Publication Title:Solar Energy
Refereed publication:Yes
Open Access:Yes
Gold Open Access:No
In SCOPUS:Yes
In ISI Web of Science:Yes
Volume:300
DOI:10.1016/j.solener.2025.113739
Page Range:p. 113739
Editors:
EditorsEmailEditor's ORCID iDORCID Put Code
Ho, CliffordSandia National Laboratories, Albuquerque, NMUNSPECIFIEDUNSPECIFIED
Publisher:Elsevier
ISSN:0038-092X
Status:Published
Keywords:Flux Density Neural Nets encode more data than they use for prediction. • Uncertainty metrics explain faults, yielding up to 80% F1 scores in fault detection. • Solar power tower Heliostat Deep learning Flux density prediction Uncertainty quantification
HGF - Research field:Aeronautics, Space and Transport
HGF - Program:Space
HGF - Program Themes:Robotics
DLR - Research area:Raumfahrt
DLR - Program:R RO - Robotics
DLR - Research theme (Project):R - Synergy project SKIAS 2.0
Location: Köln-Porz
Institutes and Institutions:Institute of Solar Research > Concentrating Solar Technologies
Deposited By: Sievers, Leon
Deposited On:30 Oct 2025 09:26
Last Modified:03 Dec 2025 17:46

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