Financing of residential rooftop photovoltaic projects under a net metering policy framework: the case of the colombian caribbean region
The inclusion of photovoltaic energy in the Colombian energy matrix has had several difficulties due to the lack of energy policies and regulations in renewable energy projects. The lack of government support with subsidies that extend the coverage of PV energy projects in residential areas has made...
- Autores:
-
Ospino C., Adalberto
Robles Algarín, Carlos
Tobón-Perez, Juan
Peña Gallardo, Rafael
Acosta-Coll, Melisa
- Tipo de recurso:
- Article of journal
- Fecha de publicación:
- 2020
- Institución:
- Corporación Universidad de la Costa
- Repositorio:
- REDICUC - Repositorio CUC
- Idioma:
- eng
- OAI Identifier:
- oai:repositorio.cuc.edu.co:11323/7976
- Acceso en línea:
- https://hdl.handle.net/11323/7976
https://doi.org/10.32479/ijeep.9560
https://repositorio.cuc.edu.co/
- Palabra clave:
- PV systems
Net metering
Discounted cash flow method
Optimal debt rati
- Rights
- openAccess
- License
- CC0 1.0 Universal
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dc.title.spa.fl_str_mv |
Financing of residential rooftop photovoltaic projects under a net metering policy framework: the case of the colombian caribbean region |
title |
Financing of residential rooftop photovoltaic projects under a net metering policy framework: the case of the colombian caribbean region |
spellingShingle |
Financing of residential rooftop photovoltaic projects under a net metering policy framework: the case of the colombian caribbean region PV systems Net metering Discounted cash flow method Optimal debt rati |
title_short |
Financing of residential rooftop photovoltaic projects under a net metering policy framework: the case of the colombian caribbean region |
title_full |
Financing of residential rooftop photovoltaic projects under a net metering policy framework: the case of the colombian caribbean region |
title_fullStr |
Financing of residential rooftop photovoltaic projects under a net metering policy framework: the case of the colombian caribbean region |
title_full_unstemmed |
Financing of residential rooftop photovoltaic projects under a net metering policy framework: the case of the colombian caribbean region |
title_sort |
Financing of residential rooftop photovoltaic projects under a net metering policy framework: the case of the colombian caribbean region |
dc.creator.fl_str_mv |
Ospino C., Adalberto Robles Algarín, Carlos Tobón-Perez, Juan Peña Gallardo, Rafael Acosta-Coll, Melisa |
dc.contributor.author.spa.fl_str_mv |
Ospino C., Adalberto Robles Algarín, Carlos Tobón-Perez, Juan Peña Gallardo, Rafael Acosta-Coll, Melisa |
dc.subject.spa.fl_str_mv |
PV systems Net metering Discounted cash flow method Optimal debt rati |
topic |
PV systems Net metering Discounted cash flow method Optimal debt rati |
description |
The inclusion of photovoltaic energy in the Colombian energy matrix has had several difficulties due to the lack of energy policies and regulations in renewable energy projects. The lack of government support with subsidies that extend the coverage of PV energy projects in residential areas has made the collection of funds more challenging. This paper presents a techno-economic analysis for the implementation of grid-connected photovoltaic projects on the roofs of residential areas, under the net metering policy framework. For the profitability analysis, the discounted cash flow (DCF) method was used. The revenues were obtained from the forecasts of the electrical power production of the PV system, based on the characteristics of the Colombian Caribbean Region. For this purpose, the meteorological data (2013-2017) of this region were used as an input for the calculation of the economic benefits that can be achieved with the implementation of PV systems. Based on the technical sizing and economic assumptions, it was proved that the DCF method allows to accurately determine the optimal debt ratio. After evaluating the three scenarios proposed, it was demonstrated that profitability and self-sustainability, with investment from creditors, is obtained from the implementation of PV systems of at least 3 kWp. |
publishDate |
2020 |
dc.date.issued.none.fl_str_mv |
2020-08-22 |
dc.date.accessioned.none.fl_str_mv |
2021-03-10T15:23:18Z |
dc.date.available.none.fl_str_mv |
2021-03-10T15:23:18Z |
dc.type.spa.fl_str_mv |
Artículo de revista |
dc.type.coar.fl_str_mv |
http://purl.org/coar/resource_type/c_2df8fbb1 |
dc.type.coar.spa.fl_str_mv |
http://purl.org/coar/resource_type/c_6501 |
dc.type.content.spa.fl_str_mv |
Text |
dc.type.driver.spa.fl_str_mv |
info:eu-repo/semantics/article |
dc.type.redcol.spa.fl_str_mv |
http://purl.org/redcol/resource_type/ART |
dc.type.version.spa.fl_str_mv |
info:eu-repo/semantics/acceptedVersion |
format |
http://purl.org/coar/resource_type/c_6501 |
status_str |
acceptedVersion |
dc.identifier.issn.spa.fl_str_mv |
21464553 |
dc.identifier.uri.spa.fl_str_mv |
https://hdl.handle.net/11323/7976 |
dc.identifier.doi.spa.fl_str_mv |
https://doi.org/10.32479/ijeep.9560 |
dc.identifier.instname.spa.fl_str_mv |
Corporación Universidad de la Costa |
dc.identifier.reponame.spa.fl_str_mv |
REDICUC - Repositorio CUC |
dc.identifier.repourl.spa.fl_str_mv |
https://repositorio.cuc.edu.co/ |
identifier_str_mv |
21464553 Corporación Universidad de la Costa REDICUC - Repositorio CUC |
url |
https://hdl.handle.net/11323/7976 https://doi.org/10.32479/ijeep.9560 https://repositorio.cuc.edu.co/ |
dc.language.iso.none.fl_str_mv |
eng |
language |
eng |
dc.relation.references.spa.fl_str_mv |
Abdin, G.C., Noussan, M. (2018), Electricity storage compared to net metering in residential PV applications. Journal of Cleaner Production, 176, 175-186 Akter, M.N., Mahmud, M.A., Oo, A.M. (2017), Comprehensive economic evaluations of a residential building with solar photovoltaic and battery energy storage systems: An Australian case study. Energy and Buildings, 138, 332-346 Asumadu, S.S., Owusu, P.A. (2016), The potential and economic viability of solar photovoltaic power in Ghana. Energy Sources, Part A: Recovery, Utilization, and Environmental Effects, 38(5), 709-716 Banrep. (2017), Banco de la República, Tasas de Captación Semanales y Mensuales. Available from: http://www.banrep.gov.co/es/tasascaptacion-semanales-y-mensuales. [Last accessed on 2019 Apr 10] Burke, M.J., Stephens, J.C. (2018), Political power and renewable energy futures: A critical review. Energy Research and Social Science, 35, 78-93 Chamorro, M.V., Silvera, O.C., Ochoa, G.V., Ortiz, E.V., Castro, A.O. (2017), Cálculo de las radiaciones total, directa y difusa a través de la transmisibilidad atmosférica en los departamentos del Cesar, La Guajira y Magdalena (Colombia). Espacios, 38(7), 1-8 DANE. (2017), Departamento Administrativo Nacional de Estadística. Encuesta Anual Manufacturera (EAM), 1997-2015. Available from: http://www.dane.gov.co/index.php/estadisticas-portema/industria/ encuesta-anual-manufacturera-enam/eam-historicos. [Last accessed on 2018 Jun 11] DANE. (2018), Departamento Administrativo Nacional de Estadística. Índice de Precios al Consumidor-IPC. Available from: https://www. dane.gov.co/index.php/estadisticas-por-tema/precios-y-costos/ indice-de-precios-al-consumidor-ipc. [Last accessed on 2018 Jan 15] Dellosa, J.T. (2015), Financial Payback of Solar PV Systems and Analysis of the Potential IMPACT of Net-metering in Butuan city. Philippines: IEEE 15th International Conference on Environment and Electrical Engineering. p1453-1458. Dufo-López, R., Bernal-Agustín, J.L. (2015), A comparative assessment of net metering and net billing policies. Study cases for Spain. Energy, 84, 684-694 EIA. (2018), Energy Information Administration, Capacity Factors for Utility Scale Generators Primarily Using Fossil Fuels. Available from: https://www.eia.gov/electricity/monthly/epm_table_grapher. php?t=epmt_6_07_b. [Last accessed on 2019 Jan 20] Electrificadora del Caribe S.A. E.S.P. (2018), Tarifas y Subsidios. Available from: http://www.electricaribe.co/tu-energia/#2017. [Last accessed on 2019 Jan 15] Eras, J.J.C., Morejón, M.B., Gutiérrez, A.S., García, A.P., Ulloa, M.C., Martínez, F.J.R., Rueda-Bayona, J.G. (2018), A look to the electricity generation from non-conventional renewable energy sources in Colombia. International Journal of Energy Economics and Policy, 9(1), 15-25. Gaona, E.E., Trujillo, C.L., Guacaneme, J.A. (2015), Rural microgrids and its potential application in Colombia. Renewable and Sustainable Energy Reviews, 51, 125-137. García, J., Gutierrez, A., Tobón, L.V., Velasquez, H. (2018), Smart Grids and Demand Response Mechanism: The Case of the Colombian Electricity Market. United States: Center for Research in Economics and Finance (CIEF), Working Papers, 18-20 Griffiths, S., Mills, R. (2016), Potential of rooftop solar photovoltaics in the energy system evolution of the United Arab Emirates. Energy Strategy Reviews, 9, 1-7. Ioannou, A.K., Stefanakis, N.E., Boudouvis, A.G. (2014), Design optimization of residential grid-connected photovoltaics on rooftops. Energy and Buildings, 76, 588-596 Jamil, I., Zhao, J., Zhang, L., Jamil, R., Rafique, S.F. (2017), Evaluation of energy production and energy yield assessment based on feasibility, design, and execution of 3×50 MW grid-connected solar PV pilot project in Nooriabad. International Journal of Photoenergy, 2017, 1-18. Karki, I.B. (2015), Effect of temperature on the IV characteristics of a polycrystalline solar cell. Journal of Nepal Physical Society, 3(1), 35-40 Kumar, N.M., Kumar, M.R., Rejoice, P.R., Mathew, M. (2017), Performance analysis of 100 kWp grid connected Si-poly photovoltaic system using PVsyst simulation tool. Energy Procedia, 117, 180-189. Lima, D.A. (2019), Stochastic analysis of economic viability of photovoltaic panels installation for big consumers in Brazil. Electric Power Systems Research, 173, 164-172. Lüdeke-Freund, F., Loock, M. (2011), Debt for brands: Tracking down a bias in financing photovoltaic projects in Germany. Journal of Cleaner Production, 19(12), 1356-1364 Malvoni, M., Leggieri, A., Maggiotto, G., Congedo, P.M., De Giorgi, M.G. (2017), Long term performance, losses and efficiency analysis of a 960 kWP photovoltaic system in the Mediterranean climate. Energy conversion and management, 145, 169-18 Miranda, R.F., Szklo, A., Schaeffer, R. (2015), Technical-economic potential of PV systems on Brazilian rooftops. Renewable Energy, 75, 694-713. Mojonero, D.H., Villacorta, A.R., Kuong, J.L., Mojonero, D.H. (2018), Impact assessment of net metering for residential photovoltaic distributed generation in Peru. International Journal of Renewable Energy Research, 8(3), 1-10 Muñoz, Y., Zafra, D., Acevedo, V., Ospino, A. (2014), Analysis of energy production with different photovoltaic technologies in the Colombian geography. IOP Conference Series: Materials Science and Engineering, 59(1), 1-12. Núñez, J.R., Benítez, I.F., Proenza, R., Vázquez, L., Díaz, D. (2019), Metodología de diagnóstico de fallos para sistemas fotovoltaicos de conexión a red. Revista Iberoamericana de Automática e Informática Industrial, 17(1), 94-105 Ospino-Castro, A., Peña-Gallardo, R., Hernández-Rodríguez, A., Segundo-Ramírez, J., Muñoz-Maldonado, Y.A. (2017), Technoeconomic Evaluation of a Grid-connected Hybrid PV-wind Power Generation System in San Luis Potosi. Mexico: Power, Electronics and Computing (ROPEC). p1-6. Paez, A.F., Maldonado, Y.M., Castro, A.O., Hernandez, N., Conde, E., Pacheco, L., Sotelo, O. (2017), Future scenarios and trends of energy demand in Colombia using long-range energy alternative planning. International Journal of Energy Economics and Policy, 7(5), 178-190 Park, J., Kim, H.G., Cho, Y., Shin, C. (2014), Simple modeling and simulation of photovoltaic panels using Matlab/Simulink. Advanced Science and Technology Letters, 73, 147-155. Peña-Gallardo, R., Ospino-Castro, A., Medina-Ríos, A. (2020), An image processing-based method to assess the monthly energetic complementarity of solar and wind energy in Colombia. Energies, 13(5), 1033. Pradhan, P., Gadkari, P., Mahajani, S.M., Arora, A. (2019), A conceptual framework and techno-economic analysis of a pelletizationgasification based bioenergy system. Applied Energy, 249, 1-13 Ramírez-Cerpa, E., Acosta-Coll, M., Vélez-Zapata, J. (2017), Analysis of the climatic conditions for short-term precipitation in urban areas: A case study Barranquilla, Colombia. IDESIA, 35(2), 87-94. Ramírez-Sagner, G., Mata-Torres, C., Pino, A., Escobar, R.A. (2017), Economic feasibility of residential and commercial PV technology: The Chilean case. Renewable Energy, 111, 332-343 Rekioua, D., Matagne, E. (2012), Optimization of Photovoltaic Power Systems: Modelization, Simulation and Control. Berlin, Germany: Springer Science and Business Media. REN 21. (2017), Renewables Now. Policy Landscape. Available from: http://www.ren21.net/gsr-2017/chapters/chapter_05/chapter_05. [Last accessed on 2019 Jan 18]. Robles, A.C.A., Giraldo, J.A.T., Castro, A.J.O. (2018), A procedure for criteria selection in the energy planning of Colombian rural areas. Información Tecnológica, 29(3), 71-80 Rocha, L.C.S., Aquila, G., de Oliveira Pamplona, E., de Paiva, A.P., Chieregatti, B.G., Lima, J.D.S. (2017), Photovoltaic electricity production in Brazil: A stochastic economic viability analysis for small systems in the face of net metering and tax incentives. Journal of Cleaner Production, 168, 1448-1462 Rodrigues, S., Chen, X., Morgado-Dias, F.J.E. (2017), Economic analysis of photovoltaic systems for the residential market under China’s new regulation. Energy Policy, 101, 467-472 Rodrigues, S., Torabikalaki, R., Faria, F., Cafôfo, N., Chen, X., Ivaki, A.R., Morgado-Dias, F.J.S. (2016), Economic feasibility analysis of small scale PV systems in different countries. Solar Energy, 131, 81-95 Sajjad, I.A., Manganelli, M., Martirano, L., Napoli, R., Chicco, G., Parise, G. (2018), Net-Metering benefits for residential customers: The economic advantages of a proposed user-centric model in Italy. IEEE Industry Applications Magazine, 24(4), 39-49. Schelly, C., Louie, E.P., Pearce, J.M. (2017), Examining interconnection and net metering policy for distributed generation in the United States. Renewable Energy Focus, 22, 10-19. Secretaría Distrital de Planeación. (2012), Observatorio: Dinámicas Del Territorio DC. Available from: http://www.sdp.gov.co/sites/default/ files/dice145-tamanospromedios-29052012.pdf. [Last accessed on 2019 Mar 15]. Shivalkar], R.S., Jadhav, H.T., Deo, P. (2015), Feasibility Study for the Net Metering Implementation Energy Consumers. India: International Conference on Circuit, Power and Computing Technologies. p1-6 Sommerfeldt, N., Madani, H. (2017a), Revisiting the techno-economic analysis process for building-mounted, grid-connected solar photovoltaic systems: Part one-review. Renewable and Sustainable Energy Reviews, 74, 1379-1393. Sommerfeldt, N., Madani, H. (2017b), Revisiting the techno-economic analysis process for building-mounted, grid-connected solar photovoltaic systems: Part two-application. Renewable and Sustainable Energy Reviews, 74, 1394-1404. SUI. (2018), Sistema Único de Información de Servicios Públicos, Superintendencia de Servicios Públicos Domiciliarios. Available from: http://www.sui.gov.co/SUIAuth/portada.jsp?servicioPortada=4. [Last accessed on 2018 Nov 16]. Ur Rehman, W., Sajjad, I.A., Malik, T.N., Martirano, L., Manganelli, M. (2017), Economic Analysis of Net Metering Regulations for Residential Consumers in Pakistan. United States: Conference Proceedings-2017 17th IEEE International Conference on Environment and Electrical Engineering (EEEIC). Watts, D., Valdes, M.F., Jara, D., Watson, A. (2015), Potential residential PV development in Chile: The effect of net metering and net billing schemes for grid-connected PV systems. Renewable and Sustainable Energy Reviews, 41, 1037-1051. Wen, I.J., Pei-Chi, C., Che-Ming, C., Chi-Ming, L. (2008), Performance assessment of ventilated BIPV roofs collocating with outdoor and indoor openings. Journal of Applied Sciences, 8(20), 3572-3582. Yamaya, H., Ohigashi, T., Matsukawa, H., Kaizuka, I., Ikki, O. (2014), Feed-in tariff program and its impact on PV market in Japan. Tampa, FL, USA: Photovoltaic Specialist Conference, (PVSC). p910-913 |
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Ospino C., AdalbertoRobles Algarín, CarlosTobón-Perez, JuanPeña Gallardo, RafaelAcosta-Coll, Melisa2021-03-10T15:23:18Z2021-03-10T15:23:18Z2020-08-2221464553https://hdl.handle.net/11323/7976https://doi.org/10.32479/ijeep.9560Corporación Universidad de la CostaREDICUC - Repositorio CUChttps://repositorio.cuc.edu.co/The inclusion of photovoltaic energy in the Colombian energy matrix has had several difficulties due to the lack of energy policies and regulations in renewable energy projects. The lack of government support with subsidies that extend the coverage of PV energy projects in residential areas has made the collection of funds more challenging. This paper presents a techno-economic analysis for the implementation of grid-connected photovoltaic projects on the roofs of residential areas, under the net metering policy framework. For the profitability analysis, the discounted cash flow (DCF) method was used. The revenues were obtained from the forecasts of the electrical power production of the PV system, based on the characteristics of the Colombian Caribbean Region. For this purpose, the meteorological data (2013-2017) of this region were used as an input for the calculation of the economic benefits that can be achieved with the implementation of PV systems. Based on the technical sizing and economic assumptions, it was proved that the DCF method allows to accurately determine the optimal debt ratio. After evaluating the three scenarios proposed, it was demonstrated that profitability and self-sustainability, with investment from creditors, is obtained from the implementation of PV systems of at least 3 kWp.Ospino C., Adalberto-will be generated-orcid-0000-0003-1466-0424-600Robles Algarín, Carlos-will be generated-orcid-0000-0002-5879-5243-600Tobón-Perez, JuanPeña Gallardo, Rafael-will be generated-orcid-0000-0001-7776-6547-600Acosta-Coll, Melisa-will be generated-orcid-0000-0002-5433-0414-600application/pdfengCorporación Universidad de la CostaCC0 1.0 Universalhttp://creativecommons.org/publicdomain/zero/1.0/info:eu-repo/semantics/openAccesshttp://purl.org/coar/access_right/c_abf2International Journal of Energy Economics and Policyhttp://www.econjournals.com/index.php/ijeep/article/view/9560/5460PV systemsNet meteringDiscounted cash flow methodOptimal debt ratiFinancing of residential rooftop photovoltaic projects under a net metering policy framework: the case of the colombian caribbean regionArtículo de revistahttp://purl.org/coar/resource_type/c_6501http://purl.org/coar/resource_type/c_2df8fbb1Textinfo:eu-repo/semantics/articlehttp://purl.org/redcol/resource_type/ARTinfo:eu-repo/semantics/acceptedVersionAbdin, G.C., Noussan, M. (2018), Electricity storage compared to net metering in residential PV applications. Journal of Cleaner Production, 176, 175-186Akter, M.N., Mahmud, M.A., Oo, A.M. (2017), Comprehensive economic evaluations of a residential building with solar photovoltaic and battery energy storage systems: An Australian case study. Energy and Buildings, 138, 332-346Asumadu, S.S., Owusu, P.A. (2016), The potential and economic viability of solar photovoltaic power in Ghana. Energy Sources, Part A: Recovery, Utilization, and Environmental Effects, 38(5), 709-716Banrep. (2017), Banco de la República, Tasas de Captación Semanales y Mensuales. Available from: http://www.banrep.gov.co/es/tasascaptacion-semanales-y-mensuales. [Last accessed on 2019 Apr 10]Burke, M.J., Stephens, J.C. (2018), Political power and renewable energy futures: A critical review. Energy Research and Social Science, 35, 78-93Chamorro, M.V., Silvera, O.C., Ochoa, G.V., Ortiz, E.V., Castro, A.O. (2017), Cálculo de las radiaciones total, directa y difusa a través de la transmisibilidad atmosférica en los departamentos del Cesar, La Guajira y Magdalena (Colombia). Espacios, 38(7), 1-8DANE. (2017), Departamento Administrativo Nacional de Estadística. Encuesta Anual Manufacturera (EAM), 1997-2015. Available from: http://www.dane.gov.co/index.php/estadisticas-portema/industria/ encuesta-anual-manufacturera-enam/eam-historicos. [Last accessed on 2018 Jun 11]DANE. (2018), Departamento Administrativo Nacional de Estadística. Índice de Precios al Consumidor-IPC. Available from: https://www. dane.gov.co/index.php/estadisticas-por-tema/precios-y-costos/ indice-de-precios-al-consumidor-ipc. [Last accessed on 2018 Jan 15]Dellosa, J.T. (2015), Financial Payback of Solar PV Systems and Analysis of the Potential IMPACT of Net-metering in Butuan city. Philippines: IEEE 15th International Conference on Environment and Electrical Engineering. p1453-1458.Dufo-López, R., Bernal-Agustín, J.L. (2015), A comparative assessment of net metering and net billing policies. Study cases for Spain. Energy, 84, 684-694EIA. (2018), Energy Information Administration, Capacity Factors for Utility Scale Generators Primarily Using Fossil Fuels. Available from: https://www.eia.gov/electricity/monthly/epm_table_grapher. php?t=epmt_6_07_b. [Last accessed on 2019 Jan 20]Electrificadora del Caribe S.A. E.S.P. (2018), Tarifas y Subsidios. Available from: http://www.electricaribe.co/tu-energia/#2017. [Last accessed on 2019 Jan 15]Eras, J.J.C., Morejón, M.B., Gutiérrez, A.S., García, A.P., Ulloa, M.C., Martínez, F.J.R., Rueda-Bayona, J.G. (2018), A look to the electricity generation from non-conventional renewable energy sources in Colombia. International Journal of Energy Economics and Policy, 9(1), 15-25.Gaona, E.E., Trujillo, C.L., Guacaneme, J.A. (2015), Rural microgrids and its potential application in Colombia. Renewable and Sustainable Energy Reviews, 51, 125-137.García, J., Gutierrez, A., Tobón, L.V., Velasquez, H. (2018), Smart Grids and Demand Response Mechanism: The Case of the Colombian Electricity Market. United States: Center for Research in Economics and Finance (CIEF), Working Papers, 18-20Griffiths, S., Mills, R. (2016), Potential of rooftop solar photovoltaics in the energy system evolution of the United Arab Emirates. Energy Strategy Reviews, 9, 1-7.Ioannou, A.K., Stefanakis, N.E., Boudouvis, A.G. (2014), Design optimization of residential grid-connected photovoltaics on rooftops. Energy and Buildings, 76, 588-596Jamil, I., Zhao, J., Zhang, L., Jamil, R., Rafique, S.F. (2017), Evaluation of energy production and energy yield assessment based on feasibility, design, and execution of 3×50 MW grid-connected solar PV pilot project in Nooriabad. International Journal of Photoenergy, 2017, 1-18.Karki, I.B. (2015), Effect of temperature on the IV characteristics of a polycrystalline solar cell. Journal of Nepal Physical Society, 3(1), 35-40Kumar, N.M., Kumar, M.R., Rejoice, P.R., Mathew, M. (2017), Performance analysis of 100 kWp grid connected Si-poly photovoltaic system using PVsyst simulation tool. Energy Procedia, 117, 180-189.Lima, D.A. (2019), Stochastic analysis of economic viability of photovoltaic panels installation for big consumers in Brazil. Electric Power Systems Research, 173, 164-172.Lüdeke-Freund, F., Loock, M. (2011), Debt for brands: Tracking down a bias in financing photovoltaic projects in Germany. Journal of Cleaner Production, 19(12), 1356-1364Malvoni, M., Leggieri, A., Maggiotto, G., Congedo, P.M., De Giorgi, M.G. (2017), Long term performance, losses and efficiency analysis of a 960 kWP photovoltaic system in the Mediterranean climate. Energy conversion and management, 145, 169-18Miranda, R.F., Szklo, A., Schaeffer, R. 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