Correlation of spacecraft thermal mathematical models to reference data

Torralbo Gimeno, Ignacio and Perez Grande, M. Isabel and Sanz Andres, Angel Pedro and Piqueras Carreño, Javier (2017). Correlation of spacecraft thermal mathematical models to reference data. "Acta Astronautica" (n. 144); pp. 305-319. ISSN 0094-5765.


Title: Correlation of spacecraft thermal mathematical models to reference data
  • Torralbo Gimeno, Ignacio
  • Perez Grande, M. Isabel
  • Sanz Andres, Angel Pedro
  • Piqueras Carreño, Javier
Item Type: Article
Título de Revista/Publicación: Acta Astronautica
Date: November 2017
ISSN: 0094-5765
Faculty: E.T.S.I. Aeronáuticos (UPM)
Department: Mecánica de Fluidos y Propulsión Aeroespacial
Creative Commons Licenses: Recognition - No derivative works - Non commercial

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Model-to-test correlation is a frequent problem in spacecraft-thermal control design. The idea is to determine the values of the parameters of the thermal mathematical model (TMM) that allows reaching a good ?t between the TMM results and test data, in order to reduce the uncertainty of the mathematical model. Quite often, this task is performed manually, mainly because a good engineering knowledge and experience is needed to reach a successful compromise, but the use of a mathematical tool could facilitate this work. The correlation process can be considered as the minimization of the error of the model results with regard to the reference data. In this paper, a simple method is presented suitable to solve the TMM-to-test correlation problem, using Jacobian matrix formulation and Moore-Penrose pseudo-inverse, generalized to include several load cases. Aside, in simple cases, this method also allows for analytical solutions to be obtained, which helps to analyze some problems that appear when the Jacobian matrix is singular. To show the implementation of the method, two problems have been considered, one more academic, and the other one the TMM of an electronic box of PHI instrument of ESA Solar Orbiter mission, to be ?own in 2019. The use of singular value decomposition of the Jacobian matrix to analyze and reduce these models is also shown. The error in parameter space is used to assess the quality of the correlation results in both models.

Funding Projects

Government of SpainESP2013-47439-C6-4-RUnspecifiedUnspecifiedParticipación de DR/UPM en solar/orbiter: fabricación, integración y verificación de PHI ; contribución a la ingeniería de sistemas de EPD
Government of SpainESP2014-56169-C6-6-RUnspecifiedUnspecifiedParticipación IDR/UPM en fabricación e integración de los modelos QM, FM y FS de solar orbiter SO/PHI. Contribución a ingeniería de sistemas de sistemas de solar orbiter EPD
Government of Spain2016-77548-C5-3-RUnspecifiedUnspecifiedFísica solar desde el espacio. PHI para solar orbiter e IMAX y SP para sunrise
Government of SpainFPU15/05618UnspecifiedUnspecifiedUnspecified

More information

Item ID: 50247
DC Identifier:
OAI Identifier:
DOI: 10.1016/j.actaastro.2017.12.033
Official URL:
Deposited by: Memoria Investigacion
Deposited on: 23 Jul 2018 11:30
Last Modified: 01 Dec 2019 23:30
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