Solar Thermal Course. Lecture 12 : Concentrated Solar Power (CSP): Parabolic trough collectors & CSP plants (cont)

Ivette Rodríguez Solar Thermal Energy Course ©2024 Solar Thermal Energy Course Prof. Ivette Rodríguez Copyright ©UPC [email protected] https://futur.upc.edu/TUAREG MASTER DEGREE IN ENERGY ENGINEERING Lecture 12: Concentrated Solar Power (CSP): Parabolic trough collectors & CSP plants (cont) Ivette Rodríguez Solar Thermal Energy Course ©2024 ❑Evaluation of the solar field ❑Evaluation of the solar plant Outline Ivette Rodríguez Solar Thermal Energy Course ©2024 Parabolic trough plant exercise 3 The diagram corresponds to a CSP plant with the following data. The plant has a nominal capacity of 100MW and the power block has an efficiency of 0.358. The solar field is composed of 156 loops, each of them with 4 PTC in series. Each PTC has 150m long and 5.6m of aperture. The efficiency curve of the PTC is:" ⌘=0.7859 0.17(TfiTa) DNI cos ✓5.8⇥105(TfiTa)2 DNI cos ✓ <latexit sha1_base64="blrMCL4ymicvPG1yGTKhJLHhufo=">AAACUXicbVHLSgNBEOys7/iKevQyGIR4SNgVQ+JBCOpBL6KQaCAbw+xk1gzOPpjpFcKyv+hBT/6HFw+Kk8dBjQUDRXUX3VPtxVJotO23nDU3v7C4tLySX11b39gsbG3f6ihRjLdYJCPV9qjmUoS8hQIlb8eK08CT/M57PBvV75640iIKmziMeTegD6HwBaNopF5h4HKk5ITYlVq9ekzKhjg14vqKsrTU9EW5SQ+y9Pzqkrgs0sTFgenPytVK3UURcO3Y92m5mv023B/OWnqFol2xxyCzxJmSIkxx3Su8uP2IJQEPkUmqdcexY+ymVKFgkmd5N9E8puyRPvCOoSE123TTcSIZ2TdKn/iRMi9EMlZ/OlIaaD0MPNMZUBzov7WR+F+tk6Bf76YijBPkIZsM8hNJMCKjeElfKM5QDg2hTAmzK2EDasJBc4S8CcH5++VZcntYccwZbo6KjdNpHMuwC3tQAgdq0IALuIYWMHiGd/iEr9xr7sMCy5q0WrmpZwd+wVr9BmBXryY=</latexit> <latexit sha1_base64="blrMCL4ymicvPG1yGTKhJLHhufo=">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</latexit> <latexit sha1_base64="blrMCL4ymicvPG1yGTKhJLHhufo=">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</latexit> <latexit sha1_base64="blrMCL4ymicvPG1yGTKhJLHhufo=">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</latexit> At nominal capacity, the plant operates without requiring the gas burner, achieving a temperature difference of 100ºC in the solar field. The auxiliary system is designed to supply the heat necessary to maintain the power block at nominal output." The solar field can operate with mass flow rates ranging from 2 to 11 kg/s. If there is no output from the solar field, the power block shuts down. The temperature of the heat transfer fluid (HTF) entering the solar field is maintained at 290ºC." Heat losses in the plant have been estimated at 22.6 MW. The HTF used is oil, which has a specific heat capacity of 2.45 kJ/kg·K." Ivette Rodríguez Solar Thermal Energy Course ©2024 Parabolic trough plant exercise 4 Determine:" a) The solar field output" b) The auxiliary power" c) The solar field efficiency" d) The solar production" Cp=2450 J/kgK Ivette Rodríguez Solar Thermal Energy Course ©2024 Parabolic trough solar field 5 ⌘=0.7859 0.17(TfiTa) DNI cos ✓5.8⇥105(TfiTa)2 DNI cos ✓ <latexit sha1_base64="blrMCL4ymicvPG1yGTKhJLHhufo=">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</latexit> <latexit sha1_base64="blrMCL4ymicvPG1yGTKhJLHhufo=">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</latexit> <latexit sha1_base64="blrMCL4ymicvPG1yGTKhJLHhufo=">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</latexit> <latexit sha1_base64="blrMCL4ymicvPG1yGTKhJLHhufo=">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</latexit> There are 4 collectors in the loop. For each collector, the efficiency can be evaluated from the curve:" And the temperature at the inlet of each collector can be evaluated from:" 1.- Assume the mass flow rate in the loop" 2. For N=1 to N collectors in the loop" $Evaluate the efficiency " ⌘=0.7859 0.17(TfiTa) DNI cos ✓5.8⇥105(TfiTa)2 DNI cos ✓ <latexit sha1_base64="blrMCL4ymicvPG1yGTKhJLHhufo=">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</latexit> <latexit sha1_base64="blrMCL4ymicvPG1yGTKhJLHhufo=">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</latexit> <latexit sha1_base64="blrMCL4ymicvPG1yGTKhJLHhufo=">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</latexit> <latexit sha1_base64="blrMCL4ymicvPG1yGTKhJLHhufo=">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</latexit> 3. The solar field output is " <latexit sha1_base64="EewtI7NTonDtOM6xCGqp55oPQRc=">AAACCHicbVDLSgMxFM3UV62vUZcuDBbBVZmRoiII9bHQzdCCfUBnOmTStA3NPEgyQhm6dOOvuHGhiFs/wZ1/Y6adhbYeCDmcc+9N7vEiRoU0jG8tt7C4tLySXy2srW9sbunbOw0RxhyTOg5ZyFseEoTRgNQllYy0Ik6Q7zHS9IbXqd98IFzQMLiXo4g4PuoHtEcxkkpy9f2am8TjjnVhE4lcC9rn8Ma6S69LNaZjuXrRKBkTwHliZqQIMlRd/cvuhjj2SSAxQ0K0TSOSToK4pJiRccGOBYkQHqI+aSsaIJ8IJ5ksMoaHSunCXsjVCSScqL87EuQLMfI9VekjORCzXir+57Vj2TtzEhpEsSQBnj7UixmUIUxTgV3KCZZspAjCnKq/QjxAHGGpsiuoEMzZledJ47hknpTKtXKxcpXFkQd74AAcAROcggq4BVVQBxg8gmfwCt60J+1Fe9c+pqU5LevZBX+gff4AudeX3w==</latexit> QN u=⌘NDNI AreaN <latexit sha1_base64="guHVZyFZ1XQK0JN2fuGl91flrOk=">AAACEHicbZBNS8MwGMfT+TbnW9Wjl+AQ58HRylAvwnAXT7LB3mCrJc3SLSxtSpIKo+wjePGrePGgiFeP3vw2plsPOv1D4Mf/eZ4kz9+LGJXKsr6M3NLyyupafr2wsbm1vWPu7rUljwUmLcwZF10PScJoSFqKKka6kSAo8BjpeONaWu/cEyEpD5tqEhEnQMOQ+hQjpS3XPG64STy9u73qD7iCAaxFsNR0E59rD57CFKnGE9csWmVrJvgX7AyKIFPdNT/1jTgOSKgwQ1L2bCtSToKEopiRaaEfSxIhPEZD0tMYooBIJ5ktNIVH2hlAnwt9QgVn7s+JBAVSTgJPdwZIjeRiLTX/q/Vi5V86CQ2jWJEQzx/yYwYVh2k6cEAFwYpNNCAsqP4rxCMkEFY6w4IOwV5c+S+0z8r2ebnSqBSr11kceXAADkEJ2OACVMENqIMWwOABPIEX8Go8Gs/Gm/E+b80Z2cw++CXj4xs6mptz</latexit> QN u=˙mCp(TN fo TN fi) <latexit sha1_base64="nT82pYoZxBjdPsbDR2vcbXeA2rI=">AAACDXicbZDLSsNAFIYn9VbrLerSzWAVKkJNpKgbodiNK2mhN2hrmEwn7dCZJMxMhBL6Am58FTcuFHHr3p1v46TNQlt/GPj4zzmcOb8bMiqVZX0bmaXlldW17HpuY3Nre8fc3WvKIBKYNHDAAtF2kSSM+qShqGKkHQqCuMtIyx1VknrrgQhJA7+uxiHpcTTwqUcxUtpyzKO6E3vB5P7uGiZENcFTWHPiSNMZLHBYCU8cM28VrangItgp5EGqqmN+dfsBjjjxFWZIyo5thaoXI6EoZmSS60aShAiP0IB0NPqIE9mLp9dM4LF2+tALhH6+glP390SMuJRj7upOjtRQztcS879aJ1LeVS+mfhgp4uPZIi9iUAUwiQb2qSBYsbEGhAXVf4V4iATCSgeY0yHY8ycvQvO8aF8US7VSvnyTxpEFB+AQFIANLkEZ3IIqaAAMHsEzeAVvxpPxYrwbH7PWjJHO7IM/Mj5/AG7xmd8=</latexit> TN fo =TN fi +QN u/(mCp) <latexit sha1_base64="3heUdQPGSlwljyc19Cd6yKQceq4=">AAACGXicbVC7TsMwFHV4U14FRhaLCompSgDxmhAsjCBRQGpK5bg3xcKxg32DqKL8Bgu/wsIAQoww8Tc4pQOvI1k6Oude2+dEqRQWff/DGxoeGR0bn5isTE3PzM5V5xdOrc4MhwbXUpvziFmQQkEDBUo4Tw2wJJJwFl0dlP7ZDRgrtDrBXgqthHWViAVn6KR21RcxDXfpSTuPdXGRS2axCBVc0/UdvzRChFs0Cc27mqKmQdGu1vy63wf9S4IBqZEBjtrVt7CjeZaAQu6ut83AT7GVM4OCSygqYWYhZfyKdaHpqGIJ2FbeT1bQFad0aKyNOwppX/2+kbPE2l4SucmE4aX97ZXif14zw3i7lQuVZgiKfz0UZ7LMWNZEO8IAR9lzhHEj3F8pv2SGcXRlVlwJwe/If8npWj3YrG8cb9T29gd1TJAlskxWSUC2yB45JEekQTi5Iw/kiTx7996j9+K9fo0OeYOdRfID3vsnQU2fNw==</latexit> if T last fo 6= 390 go to 1 <latexit sha1_base64="kyWU2tmBFfNQ4vdSgv6tO+ixJPc=">AAACDnicbVC7SgNBFJ2Nrxhfq5Y2gyEQm7grQW2EYBorScA8IBuX2ckkGTKzu8xDCEu+wMZfsbFQxNbazr9xkmyhiQcuHM65l3vvCWJGpXKcbyuzsrq2vpHdzG1t7+zu2fsHTRlpgUkDRywS7QBJwmhIGooqRtqxIIgHjLSCUXXqtx6IkDQK79Q4Jl2OBiHtU4yUkXy7wP1koImUkyvoSc2Tuq/vbyenxWrsKcqJhK7jnPh23ik5M8Bl4qYkD1LUfPvL60VYcxIqzJCUHdeJVTdBQlHMyCTnaUlihEdoQDqGhshs6iazdyawYJQe7EfCVKjgTP09kSAu5ZgHppMjNZSL3lT8z+to1b/sJjSMtSIhni/qawZVBKfZwB4VBCs2NgRhQc2tEA+RQFiZBHMmBHfx5WXSPCu556VyvZyvXKdxZMEROAZF4IILUAE3oAYaAINH8AxewZv1ZL1Y79bHvDVjpTOH4A+szx/P4ptK</latexit> mguess =XQN u/(Cp⇥100) <latexit sha1_base64="+/phIUbY/Io6enoaeiLoxfZmyXA=">AAACFnicbVDLSgMxFM3UV62vqks3wSK4scxIUTdCURBXpUXbCn0MmTS1oZnJkNwIZZivcOOvuHGhiFtx59+YPha+DgQO59zLzTlBLLgG1/10MnPzC4tL2eXcyura+kZ+c6uhpVGU1akUUt0ERDPBI1YHDoLdxIqRMBCsGQzPx37zjinNZXQNo5h1QnIb8T6nBKzk5w9q3eTqIvUTaSA2kJ7itjZhUvNNt5LiNvCQaVzxEyFlrFM/X3CL7gT4L/FmpIBmqPr5j3ZPUhOyCKggWrc8N4ZOQhRwKliaaxvNYkKH5Ja1LI2IPddJJrFSvGeVHu5LZV8EeKJ+30hIqPUoDOxkSGCgf3tj8T+vZaB/0kl4ZAOziE4P9Y3AIPG4I9zjilEQI0sIVdz+FdMBUYSCbTJnS/B+R/5LGodF76hYqpUK5bNZHVm0g3bRPvLQMSqjS1RFdUTRPXpEz+jFeXCenFfnbTqacWY72+gHnPcvX/WgJQ==</latexit> QSF output =XQN u⇥Nloops Ivette Rodríguez Solar Thermal Energy Course ©2024 Parabolic trough solar field 6 5. The auxiliary requirement can be taken from a heat balance of the plant:" QPB =QSF output Qlosses +Qaux <latexit sha1_base64="mt0drZ1GlJTK+wtlOeZ2vhDOOMg=">AAACDHicbVDNSsNAGNzUv1r/oh69BIugiCURQS9CqSAeW7Q/0Maw2X5tl26yYXcjlpBX0JfRk6g3T76Ab+O25qCtc5qdmYVvxo8Ylcq2v4zc3PzC4lJ+ubCyura+YW5uNSSPBYE64YyLlo8lMBpCXVHFoBUJwIHPoOkPL8Z+8w6EpDy8UaMI3AD3Q9qjBCsteeZBzUuqlfS8dptcX6ZewmMVxSo90jLjUoJMDzXF8X3qmUW7ZE9gzRInI0WUoeqZn50uJ3EAoSIMS9l27Ei5CRaKEgZpoRNLiDAZ4j60NQ1xANJNJpVSa6/HhaUGYE3ev7MJDqQcBb7OBFgN5LQ3Fv/z2rHqnbkJDXU/CImOaK8XM0txa7yM1aUCiGIjTTARVF9pkQEWmCi9X0HXd6bLzpLGccmxS07tpFiuZEPk0Q7aRfvIQaeojK5QFdURQY/oGb2hd+PBeDJejNefaM7I/myjPzA+vgH+P5wo</latexit> <latexit sha1_base64="mt0drZ1GlJTK+wtlOeZ2vhDOOMg=">AAACDHicbVDNSsNAGNzUv1r/oh69BIugiCURQS9CqSAeW7Q/0Maw2X5tl26yYXcjlpBX0JfRk6g3T76Ab+O25qCtc5qdmYVvxo8Ylcq2v4zc3PzC4lJ+ubCyura+YW5uNSSPBYE64YyLlo8lMBpCXVHFoBUJwIHPoOkPL8Z+8w6EpDy8UaMI3AD3Q9qjBCsteeZBzUuqlfS8dptcX6ZewmMVxSo90jLjUoJMDzXF8X3qmUW7ZE9gzRInI0WUoeqZn50uJ3EAoSIMS9l27Ei5CRaKEgZpoRNLiDAZ4j60NQ1xANJNJpVSa6/HhaUGYE3ev7MJDqQcBb7OBFgN5LQ3Fv/z2rHqnbkJDXU/CImOaK8XM0txa7yM1aUCiGIjTTARVF9pkQEWmCi9X0HXd6bLzpLGccmxS07tpFiuZEPk0Q7aRfvIQaeojK5QFdURQY/oGb2hd+PBeDJejNefaM7I/myjPzA+vgH+P5wo</latexit> <latexit sha1_base64="mt0drZ1GlJTK+wtlOeZ2vhDOOMg=">AAACDHicbVDNSsNAGNzUv1r/oh69BIugiCURQS9CqSAeW7Q/0Maw2X5tl26yYXcjlpBX0JfRk6g3T76Ab+O25qCtc5qdmYVvxo8Ylcq2v4zc3PzC4lJ+ubCyura+YW5uNSSPBYE64YyLlo8lMBpCXVHFoBUJwIHPoOkPL8Z+8w6EpDy8UaMI3AD3Q9qjBCsteeZBzUuqlfS8dptcX6ZewmMVxSo90jLjUoJMDzXF8X3qmUW7ZE9gzRInI0WUoeqZn50uJ3EAoSIMS9l27Ei5CRaKEgZpoRNLiDAZ4j60NQ1xANJNJpVSa6/HhaUGYE3ev7MJDqQcBb7OBFgN5LQ3Fv/z2rHqnbkJDXU/CImOaK8XM0txa7yM1aUCiGIjTTARVF9pkQEWmCi9X0HXd6bLzpLGccmxS07tpFiuZEPk0Q7aRfvIQaeojK5QFdURQY/oGb2hd+PBeDJejNefaM7I/myjPzA+vgH+P5wo</latexit> <latexit sha1_base64="mt0drZ1GlJTK+wtlOeZ2vhDOOMg=">AAACDHicbVDNSsNAGNzUv1r/oh69BIugiCURQS9CqSAeW7Q/0Maw2X5tl26yYXcjlpBX0JfRk6g3T76Ab+O25qCtc5qdmYVvxo8Ylcq2v4zc3PzC4lJ+ubCyura+YW5uNSSPBYE64YyLlo8lMBpCXVHFoBUJwIHPoOkPL8Z+8w6EpDy8UaMI3AD3Q9qjBCsteeZBzUuqlfS8dptcX6ZewmMVxSo90jLjUoJMDzXF8X3qmUW7ZE9gzRInI0WUoeqZn50uJ3EAoSIMS9l27Ei5CRaKEgZpoRNLiDAZ4j60NQ1xANJNJpVSa6/HhaUGYE3ev7MJDqQcBb7OBFgN5LQ3Fv/z2rHqnbkJDXU/CImOaK8XM0txa7yM1aUCiGIjTTARVF9pkQEWmCi9X0HXd6bLzpLGccmxS07tpFiuZEPk0Q7aRfvIQaeojK5QFdURQY/oGb2hd+PBeDJejNefaM7I/myjPzA+vgH+P5wo</latexit> 4. Once evaluated the solar field, " I f · mloop < 2 then QSF output = 0 I f · mloop > 11 then · m= 11 Recalculate QSF output" ηPB =Pnominal QPB QPB =Pnominal ηPB 6. The solar field efficiency is: " ηSF =QSF output DNI ×AreaSF 7. The Solar output of the plant is the power generated with only solar " Qsolar PB =QSF output −Qlosses Psolar =ηPB ×Qsolar PB Ivette Rodríguez Solar Thermal Energy Course ©2024 Parabolic trough solar field 7 Tfo 1 0.662 315.81 2 0.648 341.8 3 0.634 365.81 4 0.62 390 η Quloop = 1.507MW;· m= 6.15kg/s QSF output =qloop ×Nloops = 235.22MW Solar field (from last week) QPB =QSF output Qlosses +Qaux <latexit sha1_base64="mt0drZ1GlJTK+wtlOeZ2vhDOOMg=">AAACDHicbVDNSsNAGNzUv1r/oh69BIugiCURQS9CqSAeW7Q/0Maw2X5tl26yYXcjlpBX0JfRk6g3T76Ab+O25qCtc5qdmYVvxo8Ylcq2v4zc3PzC4lJ+ubCyura+YW5uNSSPBYE64YyLlo8lMBpCXVHFoBUJwIHPoOkPL8Z+8w6EpDy8UaMI3AD3Q9qjBCsteeZBzUuqlfS8dptcX6ZewmMVxSo90jLjUoJMDzXF8X3qmUW7ZE9gzRInI0WUoeqZn50uJ3EAoSIMS9l27Ei5CRaKEgZpoRNLiDAZ4j60NQ1xANJNJpVSa6/HhaUGYE3ev7MJDqQcBb7OBFgN5LQ3Fv/z2rHqnbkJDXU/CImOaK8XM0txa7yM1aUCiGIjTTARVF9pkQEWmCi9X0HXd6bLzpLGccmxS07tpFiuZEPk0Q7aRfvIQaeojK5QFdURQY/oGb2hd+PBeDJejNefaM7I/myjPzA+vgH+P5wo</latexit> <latexit sha1_base64="mt0drZ1GlJTK+wtlOeZ2vhDOOMg=">AAACDHicbVDNSsNAGNzUv1r/oh69BIugiCURQS9CqSAeW7Q/0Maw2X5tl26yYXcjlpBX0JfRk6g3T76Ab+O25qCtc5qdmYVvxo8Ylcq2v4zc3PzC4lJ+ubCyura+YW5uNSSPBYE64YyLlo8lMBpCXVHFoBUJwIHPoOkPL8Z+8w6EpDy8UaMI3AD3Q9qjBCsteeZBzUuqlfS8dptcX6ZewmMVxSo90jLjUoJMDzXF8X3qmUW7ZE9gzRInI0WUoeqZn50uJ3EAoSIMS9l27Ei5CRaKEgZpoRNLiDAZ4j60NQ1xANJNJpVSa6/HhaUGYE3ev7MJDqQcBb7OBFgN5LQ3Fv/z2rHqnbkJDXU/CImOaK8XM0txa7yM1aUCiGIjTTARVF9pkQEWmCi9X0HXd6bLzpLGccmxS07tpFiuZEPk0Q7aRfvIQaeojK5QFdURQY/oGb2hd+PBeDJejNefaM7I/myjPzA+vgH+P5wo</latexit> <latexit sha1_base64="mt0drZ1GlJTK+wtlOeZ2vhDOOMg=">AAACDHicbVDNSsNAGNzUv1r/oh69BIugiCURQS9CqSAeW7Q/0Maw2X5tl26yYXcjlpBX0JfRk6g3T76Ab+O25qCtc5qdmYVvxo8Ylcq2v4zc3PzC4lJ+ubCyura+YW5uNSSPBYE64YyLlo8lMBpCXVHFoBUJwIHPoOkPL8Z+8w6EpDy8UaMI3AD3Q9qjBCsteeZBzUuqlfS8dptcX6ZewmMVxSo90jLjUoJMDzXF8X3qmUW7ZE9gzRInI0WUoeqZn50uJ3EAoSIMS9l27Ei5CRaKEgZpoRNLiDAZ4j60NQ1xANJNJpVSa6/HhaUGYE3ev7MJDqQcBb7OBFgN5LQ3Fv/z2rHqnbkJDXU/CImOaK8XM0txa7yM1aUCiGIjTTARVF9pkQEWmCi9X0HXd6bLzpLGccmxS07tpFiuZEPk0Q7aRfvIQaeojK5QFdURQY/oGb2hd+PBeDJejNefaM7I/myjPzA+vgH+P5wo</latexit> <latexit sha1_base64="mt0drZ1GlJTK+wtlOeZ2vhDOOMg=">AAACDHicbVDNSsNAGNzUv1r/oh69BIugiCURQS9CqSAeW7Q/0Maw2X5tl26yYXcjlpBX0JfRk6g3T76Ab+O25qCtc5qdmYVvxo8Ylcq2v4zc3PzC4lJ+ubCyura+YW5uNSSPBYE64YyLlo8lMBpCXVHFoBUJwIHPoOkPL8Z+8w6EpDy8UaMI3AD3Q9qjBCsteeZBzUuqlfS8dptcX6ZewmMVxSo90jLjUoJMDzXF8X3qmUW7ZE9gzRInI0WUoeqZn50uJ3EAoSIMS9l27Ei5CRaKEgZpoRNLiDAZ4j60NQ1xANJNJpVSa6/HhaUGYE3ev7MJDqQcBb7OBFgN5LQ3Fv/z2rHqnbkJDXU/CImOaK8XM0txa7yM1aUCiGIjTTARVF9pkQEWmCi9X0HXd6bLzpLGccmxS07tpFiuZEPk0Q7aRfvIQaeojK5QFdURQY/oGb2hd+PBeDJejNefaM7I/myjPzA+vgH+P5wo</latexit> ηPB =Pnominal QPB QPB =Pnominal ηPB Qaux =QPB +Qlosses −QSF output = 66.71MW QPB =100 0.358 = 279.33MW Ivette Rodríguez Solar Thermal Energy Course ©2024 Parabolic trough solar field 8 Solar Production = (QSF output −Qlosses)×ηPB Solar Production = 76.12M W A n n u a l Pr o d u c t i on =∫Sol a rPr o d u c t i on d t CF =SolarProduction Pnominal ×τyear ηSE =Solar production DNIyear ×Area Ivette Rodríguez Solar Thermal Energy Course ©2024 Any Questions?