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

Author: Rodríguez Pérez, Ivette María

Publisher: Universitat Politècnica de Catalunya

Year: 2025

Source: https://upcommons.upc.edu/bitstream/2117/422042/2/Solar_Thermal_Lecture12.pdf

I e e Rod íguez
Sola The mal Ene gy Cou se ©2024
Sola The mal Ene gy Cou se
P o . I e e Rod íguez
Copy igh ©UPC
[email p o ec ed]
h ps:// u u .upc.edu/TUAREG
MASTER DEGREE IN ENERGY ENGINEERING
Lec u e 12: Concen a ed Sola Powe (CSP):
Pa abolic ough collec o s & CSP plan s (con )
I e e Rod íguez
Sola The mal Ene gy Cou se ©2024
❑E alua ion o he sola ield
❑E alua ion o he sola plan
Ou line
I e e Rod íguez
Sola The mal Ene gy Cou se ©2024
Pa abolic ough plan exe cise
3
The diag am co esponds o a CSP plan wi h he
ollowing da a. The plan has a nominal capaci y o
100MW and he powe block has an eﬃciency o
0.358. The sola ield is composed o 156 loops, each
o hem wi h 4 PTC in se ies. Each PTC has 150m
long and 5.6m o ape u e. The eﬃciency cu e o he
PTC is:"
⌘=0.7859 0.17(T iTa)
DNI cos ✓5.8⇥105(T iTa)2
DNI cos ✓
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A nominal capaci y, he plan ope a es wi hou equi ing he gas bu ne , achie ing a
empe a u e diﬀe ence o 100ºC in he sola ield. The auxilia y sys em is designed o
supply he hea necessa y o main ain he powe block a nominal ou pu ."
The sola ield can ope a e wi h mass low a es anging om 2 o 11 kg/s. I he e is no
ou pu om he sola ield, he powe block shu s down. The empe a u e o he hea
ans e luid (HTF) en e ing he sola ield is main ained a 290ºC."
Hea losses in he plan ha e been es ima ed a 22.6 MW. The HTF used is oil, which has
a speci ic hea capaci y o 2.45 kJ/kg·K."
I e e Rod íguez
Sola The mal Ene gy Cou se ©2024
Pa abolic ough plan exe cise
4
De e mine:"
a) The sola ield ou pu "
b) The auxilia y powe "
c) The sola ield eﬃciency"
d) The sola p oduc ion"
Cp=2450 J/kgK
I e e Rod íguez
Sola The mal Ene gy Cou se ©2024
Pa abolic ough sola ield
5
⌘=0.7859 0.17(T iTa)
DNI cos ✓5.8⇥105(T iTa)2
DNI cos ✓
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The e a e 4 collec o s in he loop. Fo each collec o , he eﬃciency can be e alua ed om he cu e:"
And he empe a u e a he inle o each collec o can be e alua ed om:"
1.- Assume he mass low a e in he loop"
2. Fo N=1 o N collec o s in he loop"
$E alua e he eﬃciency "
⌘=0.7859 0.17(T iTa)
DNI cos ✓5.8⇥105(T iTa)2
DNI cos ✓
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3. The sola ield ou pu is "
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QN
u=⌘NDNI A eaN
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QN
u=˙mCp(TN
o TN
i)
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TN
o =TN
i +QN
u/(mCp)
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i T las
o 6= 390 go o 1
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mguess =XQN
u/(Cp⇥100)
<la exi sha1_base64="+/phIUbY/Io6enoaeiLox ZmyXA=">AAACFnicbVDLSgMxFM3UV62 qks3wSK4scxIUTdCURBXpUXbCn0MmTS1oZnJkNwIZZi cOO uHGhiF x59+YPha+DgQO59zLzTlBLLgG1/10MnPzC4 L2eXcyu a+kZ+c6uhpVGU1akUU 0ERDPBI1YHDoLdxIqRMBCsGQzPx37zjinNZXQNo5h1QnIb8T6nBKzk5w9q3eTqI UTaSA2kJ7i jZhU NN 5LiN CQaVzxEyFl FM/X3CL7gT4L/FmpIBmqP 5j3ZPUhOyCKggW c8N4ZOQhRwKliaax NYkKH5Ja1LI2IPddJJ FS GeVHu5LZV8EeKJ+30hIqPUoDOxkSGCg 3 j8T+ ZaB/0kl4ZAOziE4P9Y3AIPG4I9zjilEQI0sIVdz+FdMBUYSCbTJnS/B+R/5LGodF76hYqpUK5bNZHVm0g3bRP LQMSqjS1RFdUTRPXpEz+jFeXCenF nbTqacWY72+gHnPc X/WgJQ==</la exi >
QSF
ou pu =XQN
u⇥Nloops

I e e Rod íguez
Sola The mal Ene gy Cou se ©2024
Pa abolic ough sola ield
6
5. The auxilia y equi emen can be aken om a hea balance o he plan :"
QPB =QSF
ou pu Qlosses +Qaux
<la exi sha1_base64="m 0d Z1GlJTK+w lOeZ2 hDOOMg=">AAACDHicbVDNSsNAGNzU 1 /oh69BIugiCURQS9CqSAeW7Q/0Maw2X5 l26yYXcjlpBX0J Rk6g3T76Ab+O25qC c5qdmYV xo8Ylcq2 4zc3PzC4lJ+ubCyu a+YW5uNSSPBYE64YyLlo8lMBpCXVHFoBUJwIHPoOkPL8Z+8w6EpDy8UaMI3AD3Q9qjBCs eeZBzUuql S8dp cX6ZewmMVxSo90jLjUoJMDzXF8X3qmUW7ZE9gzRInI0WUoeqZn50uJ3EAoSIMS9l27Ei5CRaKEgZpoRNLiDAZ4j60NQ1xANJNJpVSa6/HhaUGYE3e 7MJDqQcBb7OBFgN5LQ3F /z2 HqnbkJDXU/CImOaK8XM0 xa7yM1aUCiGIjTTARVF9pkQEWmCi9X0HXd6bLzpLGccmxS07 pFiuZEPk0Q7aR IQaeojK5QFdURQY/oGb2hd+PBeDJejNe aM7I/myjPzA+ gH+P5wo</la exi >
<la exi sha1_base64="m 0d Z1GlJTK+w lOeZ2 hDOOMg=">AAACDHicbVDNSsNAGNzU 1 /oh69BIugiCURQS9CqSAeW7Q/0Maw2X5 l26yYXcjlpBX0J Rk6g3T76Ab+O25qC c5qdmYV xo8Ylcq2 4zc3PzC4lJ+ubCyu a+YW5uNSSPBYE64YyLlo8lMBpCXVHFoBUJwIHPoOkPL8Z+8w6EpDy8UaMI3AD3Q9qjBCs eeZBzUuql S8dp cX6ZewmMVxSo90jLjUoJMDzXF8X3qmUW7ZE9gzRInI0WUoeqZn50uJ3EAoSIMS9l27Ei5CRaKEgZpoRNLiDAZ4j60NQ1xANJNJpVSa6/HhaUGYE3e 7MJDqQcBb7OBFgN5LQ3F /z2 HqnbkJDXU/CImOaK8XM0 xa7yM1aUCiGIjTTARVF9pkQEWmCi9X0HXd6bLzpLGccmxS07 pFiuZEPk0Q7aR IQaeojK5QFdURQY/oGb2hd+PBeDJejNe aM7I/myjPzA+ gH+P5wo</la exi >
<la exi sha1_base64="m 0d Z1GlJTK+w lOeZ2 hDOOMg=">AAACDHicbVDNSsNAGNzU 1 /oh69BIugiCURQS9CqSAeW7Q/0Maw2X5 l26yYXcjlpBX0J Rk6g3T76Ab+O25qC c5qdmYV xo8Ylcq2 4zc3PzC4lJ+ubCyu a+YW5uNSSPBYE64YyLlo8lMBpCXVHFoBUJwIHPoOkPL8Z+8w6EpDy8UaMI3AD3Q9qjBCs eeZBzUuql S8dp cX6ZewmMVxSo90jLjUoJMDzXF8X3qmUW7ZE9gzRInI0WUoeqZn50uJ3EAoSIMS9l27Ei5CRaKEgZpoRNLiDAZ4j60NQ1xANJNJpVSa6/HhaUGYE3e 7MJDqQcBb7OBFgN5LQ3F /z2 HqnbkJDXU/CImOaK8XM0 xa7yM1aUCiGIjTTARVF9pkQEWmCi9X0HXd6bLzpLGccmxS07 pFiuZEPk0Q7aR IQaeojK5QFdURQY/oGb2hd+PBeDJejNe aM7I/myjPzA+ gH+P5wo</la exi >
<la exi sha1_base64="m 0d Z1GlJTK+w lOeZ2 hDOOMg=">AAACDHicbVDNSsNAGNzU 1 /oh69BIugiCURQS9CqSAeW7Q/0Maw2X5 l26yYXcjlpBX0J Rk6g3T76Ab+O25qC c5qdmYV xo8Ylcq2 4zc3PzC4lJ+ubCyu a+YW5uNSSPBYE64YyLlo8lMBpCXVHFoBUJwIHPoOkPL8Z+8w6EpDy8UaMI3AD3Q9qjBCs eeZBzUuql S8dp cX6ZewmMVxSo90jLjUoJMDzXF8X3qmUW7ZE9gzRInI0WUoeqZn50uJ3EAoSIMS9l27Ei5CRaKEgZpoRNLiDAZ4j60NQ1xANJNJpVSa6/HhaUGYE3e 7MJDqQcBb7OBFgN5LQ3F /z2 HqnbkJDXU/CImOaK8XM0 xa7yM1aUCiGIjTTARVF9pkQEWmCi9X0HXd6bLzpLGccmxS07 pFiuZEPk0Q7aR IQaeojK5QFdURQY/oGb2hd+PBeDJejNe aM7I/myjPzA+ gH+P5wo</la exi >
4. Once e alua ed he sola ield, "
I ·
mloop < 2 hen QSF
ou pu = 0
I ·
mloop > 11 hen ·
m= 11 Recalcula e QSF ou pu "
ηPB =Pnominal
QPB
QPB =Pnominal
ηPB
6. The sola ield eﬃciency is: "
ηSF =QSF
ou pu
DNI ×A eaSF
7. The Sola ou pu o he plan is he powe gene a ed wi h only sola "
Qsola
PB =QSF
ou pu −Qlosses
Psola =ηPB ×Qsola
PB
I e e Rod íguez
Sola The mal Ene gy Cou se ©2024
Pa abolic ough sola ield
7
T o
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
ou pu =qloop ×Nloops = 235.22MW
Sola ield ( om las week)
QPB =QSF
ou pu Qlosses +Qaux
<la exi sha1_base64="m 0d Z1GlJTK+w lOeZ2 hDOOMg=">AAACDHicbVDNSsNAGNzU 1 /oh69BIugiCURQS9CqSAeW7Q/0Maw2X5 l26yYXcjlpBX0J Rk6g3T76Ab+O25qC c5qdmYV xo8Ylcq2 4zc3PzC4lJ+ubCyu a+YW5uNSSPBYE64YyLlo8lMBpCXVHFoBUJwIHPoOkPL8Z+8w6EpDy8UaMI3AD3Q9qjBCs eeZBzUuql S8dp cX6ZewmMVxSo90jLjUoJMDzXF8X3qmUW7ZE9gzRInI0WUoeqZn50uJ3EAoSIMS9l27Ei5CRaKEgZpoRNLiDAZ4j60NQ1xANJNJpVSa6/HhaUGYE3e 7MJDqQcBb7OBFgN5LQ3F /z2 HqnbkJDXU/CImOaK8XM0 xa7yM1aUCiGIjTTARVF9pkQEWmCi9X0HXd6bLzpLGccmxS07 pFiuZEPk0Q7aR IQaeojK5QFdURQY/oGb2hd+PBeDJejNe aM7I/myjPzA+ gH+P5wo</la exi >
<la exi sha1_base64="m 0d Z1GlJTK+w lOeZ2 hDOOMg=">AAACDHicbVDNSsNAGNzU 1 /oh69BIugiCURQS9CqSAeW7Q/0Maw2X5 l26yYXcjlpBX0J Rk6g3T76Ab+O25qC c5qdmYV xo8Ylcq2 4zc3PzC4lJ+ubCyu a+YW5uNSSPBYE64YyLlo8lMBpCXVHFoBUJwIHPoOkPL8Z+8w6EpDy8UaMI3AD3Q9qjBCs eeZBzUuql S8dp cX6ZewmMVxSo90jLjUoJMDzXF8X3qmUW7ZE9gzRInI0WUoeqZn50uJ3EAoSIMS9l27Ei5CRaKEgZpoRNLiDAZ4j60NQ1xANJNJpVSa6/HhaUGYE3e 7MJDqQcBb7OBFgN5LQ3F /z2 HqnbkJDXU/CImOaK8XM0 xa7yM1aUCiGIjTTARVF9pkQEWmCi9X0HXd6bLzpLGccmxS07 pFiuZEPk0Q7aR IQaeojK5QFdURQY/oGb2hd+PBeDJejNe aM7I/myjPzA+ gH+P5wo</la exi >
<la exi sha1_base64="m 0d Z1GlJTK+w lOeZ2 hDOOMg=">AAACDHicbVDNSsNAGNzU 1 /oh69BIugiCURQS9CqSAeW7Q/0Maw2X5 l26yYXcjlpBX0J Rk6g3T76Ab+O25qC c5qdmYV xo8Ylcq2 4zc3PzC4lJ+ubCyu a+YW5uNSSPBYE64YyLlo8lMBpCXVHFoBUJwIHPoOkPL8Z+8w6EpDy8UaMI3AD3Q9qjBCs eeZBzUuql S8dp cX6ZewmMVxSo90jLjUoJMDzXF8X3qmUW7ZE9gzRInI0WUoeqZn50uJ3EAoSIMS9l27Ei5CRaKEgZpoRNLiDAZ4j60NQ1xANJNJpVSa6/HhaUGYE3e 7MJDqQcBb7OBFgN5LQ3F /z2 HqnbkJDXU/CImOaK8XM0 xa7yM1aUCiGIjTTARVF9pkQEWmCi9X0HXd6bLzpLGccmxS07 pFiuZEPk0Q7aR IQaeojK5QFdURQY/oGb2hd+PBeDJejNe aM7I/myjPzA+ gH+P5wo</la exi >
<la exi sha1_base64="m 0d Z1GlJTK+w lOeZ2 hDOOMg=">AAACDHicbVDNSsNAGNzU 1 /oh69BIugiCURQS9CqSAeW7Q/0Maw2X5 l26yYXcjlpBX0J Rk6g3T76Ab+O25qC c5qdmYV xo8Ylcq2 4zc3PzC4lJ+ubCyu a+YW5uNSSPBYE64YyLlo8lMBpCXVHFoBUJwIHPoOkPL8Z+8w6EpDy8UaMI3AD3Q9qjBCs eeZBzUuql S8dp cX6ZewmMVxSo90jLjUoJMDzXF8X3qmUW7ZE9gzRInI0WUoeqZn50uJ3EAoSIMS9l27Ei5CRaKEgZpoRNLiDAZ4j60NQ1xANJNJpVSa6/HhaUGYE3e 7MJDqQcBb7OBFgN5LQ3F /z2 HqnbkJDXU/CImOaK8XM0 xa7yM1aUCiGIjTTARVF9pkQEWmCi9X0HXd6bLzpLGccmxS07 pFiuZEPk0Q7aR IQaeojK5QFdURQY/oGb2hd+PBeDJejNe aM7I/myjPzA+ gH+P5wo</la exi >
ηPB =Pnominal
QPB
QPB =Pnominal
ηPB
Qaux =QPB +Qlosses −QSF
ou pu = 66.71MW
QPB =100
0.358 = 279.33MW
I e e Rod íguez
Sola The mal Ene gy Cou se ©2024
Pa abolic ough sola ield
8
Sola P oduc ion = (QSF
ou pu −Qlosses)×ηPB
Sola P oduc ion = 76.12M W
A n n u a l P o d u c i on =∫Sol a P o d u c i on d
CF =Sola P oduc ion
Pnominal ×τyea
ηSE =Sola p oduc ion
DNIyea ×A ea
I e e Rod íguez
Sola The mal Ene gy Cou se ©2024
Any Ques ions?

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