SIMULAÇÃO TÉRMICA E GERAÇÃO DE ENERGIA DE UM CUBESAT

Detalhes bibliográficos
Autor(a) principal: SANTANA, André Luís Rodrigues
Data de Publicação: 2023
Tipo de documento: Dissertação
Idioma: por
Título da fonte: Biblioteca Digital de Teses e Dissertações da UFMA
Texto Completo: https://tedebc.ufma.br/jspui/handle/tede/tede/5480
Resumo: CubeSat is a standard satellite based on the dimensions of a cube with 10 × 10 × 10 cm, about which academia and industry have already carried out several successful missions in the last decade and still have significant growth potential in the coming years. In space, these small satellites must survive in the vacuum environment, with intense temperature variation and thermal gradient, usually above 60◦C and, in a few minutes, below-30◦C. One of the critical subsystems of CubeSat is thermal control, which maintains temperature stability between the operational bands of the subsystems. Another equally critical subsystem is the power system, responsible for generating electrical energy used during the orbit. This dissertation focuses on the thermal and power simulation of a typical CubeSat 1U. The heat transfer simulation is divided between the irradiance and thermal models. The irradiance model determines the magnitude of heat sources, which are made up of solar radiation, albedo, and infrared emission from the earth; such sources depend on the attitude model (Pointing of CubeSat), orbit (orbital dynamics), and altitude (vertical distance). From the variation of the model, different thermal scenarios faced by CubeSat along the orbit are investigated. Then, to investigate heat transfer in space, a thermal model based on the Finite Volumes Method (FVM) is structured, using the irradiance model as a contour condition on the external surfaces of the solar panel. In total, five orbits are simulated: maximum solar exposure with eclipse (MES-0), maximum sun exposure without eclipse (MES-90), detumbling with eclipse (DET-0), detumbling without eclipse (DET-90), and maximum exposure to the eclipse coupled to a heat tube (MES-0-HP). In addition, recognizing that heat is an energy source, this work simulates a thermoelectric generator (TEG) coupled to the CubeSat, evaluating the potential of TEG for power generation. The results indicate that the different scenarios of the orbit impact the power generation and thermal control of CubeSat, being essential to predict the thermal conditions for the design of small satellites. During thermal simulations, a heat tube (HP) between solar panels is considered in the model, improving the power generation and performance of the photovoltaic panel and thermoelectric generator, compared to simulations without the heat pipe. However, the simulations show that the power of the thermoelectric generator is still low. In addition, the simulations show the impact of contact resistances (RTC) on the temperature and power generation of CubeSat.
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spelling SOUZA, Francisco das Chagas dehttp://lattes.cnpq.br/2405363087479257MORSCH FILHO, Edemarhttp://lattes.cnpq.br/4761700506192613SOUZA, Francisco das Chagas dehttp://lattes.cnpq.br/2405363087479257MORSCH FILHO, Edemarhttp://lattes.cnpq.br/4761700506192613MOREIRA, Edvanhttp://lattes.cnpq.br/9406912742121871SERRA, Ginalber Luiz de Oliveirahttp://lattes.cnpq.br/0831092299374520https://lattes.cnpq.br/4712973528456733SANTANA, André Luís Rodrigues2024-08-29T14:37:58Z2023-02-28SANTANA, André Luís Rodrigues. Simulação térmica e geração de energia de um Cubesat 2023. 159 f. Dissertação( Programa de Pós-graduação em Engenharia Aeroespacial/CCET) - Universidade Federal do Maranhão, São Luís, 2023.https://tedebc.ufma.br/jspui/handle/tede/tede/5480CubeSat is a standard satellite based on the dimensions of a cube with 10 × 10 × 10 cm, about which academia and industry have already carried out several successful missions in the last decade and still have significant growth potential in the coming years. In space, these small satellites must survive in the vacuum environment, with intense temperature variation and thermal gradient, usually above 60◦C and, in a few minutes, below-30◦C. One of the critical subsystems of CubeSat is thermal control, which maintains temperature stability between the operational bands of the subsystems. Another equally critical subsystem is the power system, responsible for generating electrical energy used during the orbit. This dissertation focuses on the thermal and power simulation of a typical CubeSat 1U. The heat transfer simulation is divided between the irradiance and thermal models. The irradiance model determines the magnitude of heat sources, which are made up of solar radiation, albedo, and infrared emission from the earth; such sources depend on the attitude model (Pointing of CubeSat), orbit (orbital dynamics), and altitude (vertical distance). From the variation of the model, different thermal scenarios faced by CubeSat along the orbit are investigated. Then, to investigate heat transfer in space, a thermal model based on the Finite Volumes Method (FVM) is structured, using the irradiance model as a contour condition on the external surfaces of the solar panel. In total, five orbits are simulated: maximum solar exposure with eclipse (MES-0), maximum sun exposure without eclipse (MES-90), detumbling with eclipse (DET-0), detumbling without eclipse (DET-90), and maximum exposure to the eclipse coupled to a heat tube (MES-0-HP). In addition, recognizing that heat is an energy source, this work simulates a thermoelectric generator (TEG) coupled to the CubeSat, evaluating the potential of TEG for power generation. The results indicate that the different scenarios of the orbit impact the power generation and thermal control of CubeSat, being essential to predict the thermal conditions for the design of small satellites. During thermal simulations, a heat tube (HP) between solar panels is considered in the model, improving the power generation and performance of the photovoltaic panel and thermoelectric generator, compared to simulations without the heat pipe. However, the simulations show that the power of the thermoelectric generator is still low. In addition, the simulations show the impact of contact resistances (RTC) on the temperature and power generation of CubeSat.CubeSat é um satélite padrão baseado nas dimensões de um cubo com 10 × 10 × 10 cm, a respeito do qual a academia e indústria já realizaram várias missões de sucesso na última década e ainda apresentam significativo potencial de crescimento nos próximos anos. No espaço, esses pequenos satélites devem sobreviver no ambiente de vácuo, com intensa variação de temperatura e gradiente térmico, normalmente acima de 60◦C e, em alguns minutos, abaixo de-30◦C. Umdos subsistemas críticos do CubeSat é o controle térmico, que mantém a estabilidade da temperatura entre as faixas operacionais dos subsistemas. Outro subsistema, igualmente, critico é o sistema de potência, responsável pela geração de energia elétrica utilizada durante a órbita. Esta dissertação se concentra na simulação térmica e de potência de um CubeSat 1U típico. Asimulação de transferência de calor divide-se entre os modelos de irradiância e térmico. O modelo de irradiância determina a magnitude das fontes de calor, as quais são constituídas pela radiação solar, albedo, e emissão infravermelho da terra; tais fontes dependem do modelo de atitude (apontamento do CubeSat), órbita (dinâmica orbital), e altitude (distância vertical). A partir da variação do modelo, investiga-se diferentes cenários térmicos enfrentados pelo CubeSat ao longo da órbita. Em seguida, para investigar a transferência de calor no espaço, um modelo térmico baseado no Método dos Volumes Finitos (FVM) é estruturado, utilizando o modelo de irradiância como condição de contorno nas superfícies externas do painel solar. No total, cinco órbitas são simuladas: máxima exposição solar com eclipse (MES-0), máxima exposição solar sem eclipse (MES-90), tombamento com eclipse ("detumbling" DET-0), tombamento sem eclipse ("detumbling" DET-90), e máxima exposição ao eclipse acoplado em um tubo de calor (MES-0-HP). Além disso, reconhecendo-se que o calor é uma fonte de energia, neste trabalho simula-se um gerador termoelétrico (TEG) acoplado ao CubeSat, avaliando o potencial do TEG para geração de energia. Os resultados indicam que os diferentes cenários da órbita impactam a geração de energia e controle térmico do CubeSat, sendo essencial à previsão das condições térmicas para o projeto de pequenos satélites. Durante as simulações térmicas, considera-se no modelo um tubo de calor (HP) entre os painéis solares, melhorando a geração de energia e desempenho do painel fotovoltaico e gerador termoelétrico, em comparação com simulações sem o tubo de calor. Entretanto, as simulações mostram que a potência do gerador termoelétrico ainda é baixa. Ademais, as simulação evidenciam o impacto das resistências de contato (RTC) sob a temperatura e geração de energia do CubeSat.Submitted by Maria Aparecida (cidazen@gmail.com) on 2024-08-29T14:37:58Z No. of bitstreams: 1 André Luís Rodrigues Santana.pdf: 19074618 bytes, checksum: 176879802bec67c173dd2148fe3d17d8 (MD5)Made available in DSpace on 2024-08-29T14:37:58Z (GMT). No. of bitstreams: 1 André Luís Rodrigues Santana.pdf: 19074618 bytes, checksum: 176879802bec67c173dd2148fe3d17d8 (MD5) Previous issue date: 2023-02-28application/pdfporUniversidade Federal do MaranhãoPROGRAMA DE PÓS-GRADUAÇÃO EM ENGENHARIA AEROESPACIAL/CCETUFMABrasilDEPARTAMENTO DE ENGENHARIA DA ELETRICIDADE/CCETCubeSat;Gerador Termoelétrico;Simulação de Potência;Simulação Térmica;Tubo de CalorCubeSat;Thermoelectric Generator;Power Simulation;Thermal Simulation;Heat PipeSistemas de TelecomunicaçõesSIMULAÇÃO TÉRMICA E GERAÇÃO DE ENERGIA DE UM CUBESATTHERMAL SIMULATION AND POWER GENERATION OF A CUBESATinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/masterThesisinfo:eu-repo/semantics/openAccessreponame:Biblioteca Digital de Teses e Dissertações da UFMAinstname:Universidade Federal do Maranhão (UFMA)instacron:UFMAORIGINALAndré Luís Rodrigues Santana.pdfAndré Luís Rodrigues Santana.pdfapplication/pdf19074618http://tedebc.ufma.br:8080/bitstream/tede/5480/2/Andr%C3%A9+Lu%C3%ADs+Rodrigues+Santana.pdf176879802bec67c173dd2148fe3d17d8MD52LICENSElicense.txtlicense.txttext/plain; charset=utf-82255http://tedebc.ufma.br:8080/bitstream/tede/5480/1/license.txt97eeade1fce43278e63fe063657f8083MD51tede/54802024-08-29 11:37:58.507oai:tede2: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Biblioteca Digital de Teses e Dissertaçõeshttps://tedebc.ufma.br/jspui/PUBhttp://tedebc.ufma.br:8080/oai/requestrepositorio@ufma.br||repositorio@ufma.bropendoar:21312024-08-29T14:37:58Biblioteca Digital de Teses e Dissertações da UFMA - Universidade Federal do Maranhão (UFMA)false
dc.title.por.fl_str_mv SIMULAÇÃO TÉRMICA E GERAÇÃO DE ENERGIA DE UM CUBESAT
dc.title.alternative.eng.fl_str_mv THERMAL SIMULATION AND POWER GENERATION OF A CUBESAT
title SIMULAÇÃO TÉRMICA E GERAÇÃO DE ENERGIA DE UM CUBESAT
spellingShingle SIMULAÇÃO TÉRMICA E GERAÇÃO DE ENERGIA DE UM CUBESAT
SANTANA, André Luís Rodrigues
CubeSat;
Gerador Termoelétrico;
Simulação de Potência;
Simulação Térmica;
Tubo de Calor
CubeSat;
Thermoelectric Generator;
Power Simulation;
Thermal Simulation;
Heat Pipe
Sistemas de Telecomunicações
title_short SIMULAÇÃO TÉRMICA E GERAÇÃO DE ENERGIA DE UM CUBESAT
title_full SIMULAÇÃO TÉRMICA E GERAÇÃO DE ENERGIA DE UM CUBESAT
title_fullStr SIMULAÇÃO TÉRMICA E GERAÇÃO DE ENERGIA DE UM CUBESAT
title_full_unstemmed SIMULAÇÃO TÉRMICA E GERAÇÃO DE ENERGIA DE UM CUBESAT
title_sort SIMULAÇÃO TÉRMICA E GERAÇÃO DE ENERGIA DE UM CUBESAT
author SANTANA, André Luís Rodrigues
author_facet SANTANA, André Luís Rodrigues
author_role author
dc.contributor.advisor1.fl_str_mv SOUZA, Francisco das Chagas de
dc.contributor.advisor1Lattes.fl_str_mv http://lattes.cnpq.br/2405363087479257
dc.contributor.advisor-co1.fl_str_mv MORSCH FILHO, Edemar
dc.contributor.advisor-co1Lattes.fl_str_mv http://lattes.cnpq.br/4761700506192613
dc.contributor.referee1.fl_str_mv SOUZA, Francisco das Chagas de
dc.contributor.referee1Lattes.fl_str_mv http://lattes.cnpq.br/2405363087479257
dc.contributor.referee2.fl_str_mv MORSCH FILHO, Edemar
dc.contributor.referee2Lattes.fl_str_mv http://lattes.cnpq.br/4761700506192613
dc.contributor.referee3.fl_str_mv MOREIRA, Edvan
dc.contributor.referee3Lattes.fl_str_mv http://lattes.cnpq.br/9406912742121871
dc.contributor.referee4.fl_str_mv SERRA, Ginalber Luiz de Oliveira
dc.contributor.referee4Lattes.fl_str_mv http://lattes.cnpq.br/0831092299374520
dc.contributor.authorLattes.fl_str_mv https://lattes.cnpq.br/4712973528456733
dc.contributor.author.fl_str_mv SANTANA, André Luís Rodrigues
contributor_str_mv SOUZA, Francisco das Chagas de
MORSCH FILHO, Edemar
SOUZA, Francisco das Chagas de
MORSCH FILHO, Edemar
MOREIRA, Edvan
SERRA, Ginalber Luiz de Oliveira
dc.subject.por.fl_str_mv CubeSat;
Gerador Termoelétrico;
Simulação de Potência;
Simulação Térmica;
Tubo de Calor
topic CubeSat;
Gerador Termoelétrico;
Simulação de Potência;
Simulação Térmica;
Tubo de Calor
CubeSat;
Thermoelectric Generator;
Power Simulation;
Thermal Simulation;
Heat Pipe
Sistemas de Telecomunicações
dc.subject.eng.fl_str_mv CubeSat;
Thermoelectric Generator;
Power Simulation;
Thermal Simulation;
Heat Pipe
dc.subject.cnpq.fl_str_mv Sistemas de Telecomunicações
description CubeSat is a standard satellite based on the dimensions of a cube with 10 × 10 × 10 cm, about which academia and industry have already carried out several successful missions in the last decade and still have significant growth potential in the coming years. In space, these small satellites must survive in the vacuum environment, with intense temperature variation and thermal gradient, usually above 60◦C and, in a few minutes, below-30◦C. One of the critical subsystems of CubeSat is thermal control, which maintains temperature stability between the operational bands of the subsystems. Another equally critical subsystem is the power system, responsible for generating electrical energy used during the orbit. This dissertation focuses on the thermal and power simulation of a typical CubeSat 1U. The heat transfer simulation is divided between the irradiance and thermal models. The irradiance model determines the magnitude of heat sources, which are made up of solar radiation, albedo, and infrared emission from the earth; such sources depend on the attitude model (Pointing of CubeSat), orbit (orbital dynamics), and altitude (vertical distance). From the variation of the model, different thermal scenarios faced by CubeSat along the orbit are investigated. Then, to investigate heat transfer in space, a thermal model based on the Finite Volumes Method (FVM) is structured, using the irradiance model as a contour condition on the external surfaces of the solar panel. In total, five orbits are simulated: maximum solar exposure with eclipse (MES-0), maximum sun exposure without eclipse (MES-90), detumbling with eclipse (DET-0), detumbling without eclipse (DET-90), and maximum exposure to the eclipse coupled to a heat tube (MES-0-HP). In addition, recognizing that heat is an energy source, this work simulates a thermoelectric generator (TEG) coupled to the CubeSat, evaluating the potential of TEG for power generation. The results indicate that the different scenarios of the orbit impact the power generation and thermal control of CubeSat, being essential to predict the thermal conditions for the design of small satellites. During thermal simulations, a heat tube (HP) between solar panels is considered in the model, improving the power generation and performance of the photovoltaic panel and thermoelectric generator, compared to simulations without the heat pipe. However, the simulations show that the power of the thermoelectric generator is still low. In addition, the simulations show the impact of contact resistances (RTC) on the temperature and power generation of CubeSat.
publishDate 2023
dc.date.issued.fl_str_mv 2023-02-28
dc.date.accessioned.fl_str_mv 2024-08-29T14:37:58Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/masterThesis
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status_str publishedVersion
dc.identifier.citation.fl_str_mv SANTANA, André Luís Rodrigues. Simulação térmica e geração de energia de um Cubesat 2023. 159 f. Dissertação( Programa de Pós-graduação em Engenharia Aeroespacial/CCET) - Universidade Federal do Maranhão, São Luís, 2023.
dc.identifier.uri.fl_str_mv https://tedebc.ufma.br/jspui/handle/tede/tede/5480
identifier_str_mv SANTANA, André Luís Rodrigues. Simulação térmica e geração de energia de um Cubesat 2023. 159 f. Dissertação( Programa de Pós-graduação em Engenharia Aeroespacial/CCET) - Universidade Federal do Maranhão, São Luís, 2023.
url https://tedebc.ufma.br/jspui/handle/tede/tede/5480
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language por
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
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dc.publisher.none.fl_str_mv Universidade Federal do Maranhão
dc.publisher.program.fl_str_mv PROGRAMA DE PÓS-GRADUAÇÃO EM ENGENHARIA AEROESPACIAL/CCET
dc.publisher.initials.fl_str_mv UFMA
dc.publisher.country.fl_str_mv Brasil
dc.publisher.department.fl_str_mv DEPARTAMENTO DE ENGENHARIA DA ELETRICIDADE/CCET
publisher.none.fl_str_mv Universidade Federal do Maranhão
dc.source.none.fl_str_mv reponame:Biblioteca Digital de Teses e Dissertações da UFMA
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