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Binary cycle

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The Carnot efficiency gives the efficiency of an ideal thermodynamic cycle, operating between two reservoirs of different temperatures, as such it provides a theoretical maximum to the efficiency of any heat engine. For this reason, a geothermal power plant producing hot geofluid at 180°C (≈450 K)
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Two secondary cycles are operated in tandem, each with a separate working fluid and boiling point. This improves efficiency by reducing the exergetic losses of the heat introduction process, by ensuring a closer match between the geofluid cooling curve and the working fluids' heating curves.
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The working fluid is evaporated at two different pressure levels, and thus temperatures. This improves efficiency by reducing exergetic losses in the primary heat exchanger by maintaining a closer match between the geofluid cooling curve and the working fluid heating curve.
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As of December 2014, there were 203 binary cycle geothermal power plants across 15 countries worldwide, representing 35% of all geothermal power plants, but only generating 10.4% of total geothermal power (about 1250 MW).
2020:{\displaystyle \eta _{\text{II}}^{\text{util}}={\frac {{\dot {W}}_{\text{net}}}{{\dot {E}}_{\text{geofluid}}}}={\frac {{\dot {W}}_{\text{turbine}}-{\dot {W}}_{\text{pump}}}{{\dot {m}}_{\text{geofluid}}*}}} 1721: 587: 163:, thus cooling in the process. The cold geofluid is then reinjected into the geothermal reservoir via a separate wellbore, where it is reheated. The primary cycle is considered an "open" cycle. 1638:{\displaystyle \eta _{\text{I}}^{\text{th}}={\frac {{\dot {W}}_{\text{net}}}{{\dot {Q}}_{\text{PHE}}}}={\frac {{\dot {W}}_{\text{turbine}}-{\dot {W}}_{\text{pump}}}{{\dot {Q}}_{\text{PHE}}}}} 1172: 2179:
A saturation dome that resembles an inverted U - this prevents liquid drop out in the turbine, which reduces efficiency, damages the turbine blades and thus reduces the turbine's lifetime.
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High thermal conductivity - improves the heat transfer in the primary heat exchanger and the condenser, reducing the total heat transfer area required and therefore cost of the plant.
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Binary cycles permit electricity generation even from low temperature geothermal resources (<180°C) that would otherwise produce insufficient quantities of steam to make
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A critical temperature and pressure above the cycle maximum temperature and pressure - most of the heat is transferred at the maximum temperature, increasing efficiency.
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The working fluid plays a pivotal role in any binary cycle and must be selected with care. Some criteria for selecting a suitable fluid are given below.
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Cold high-pressure working fluid is heated and vapourised in a heat exchanger by the hot geofluid. The hot high-pressure vapour is expanded in a
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Schematic of a Binary Cycle. Streams a & c are geofluid. Streams 1, 2, 3 & 4 are working fluid. Streams x & y are coolant
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is the specific enthalpy of the working fluid at the turbine outlet, assuming isentropic expansion in the turbine, in kJ/kg
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economically viable. However, due to the lower temperatures binary cycles have low overall efficiencies of about 10-13%.
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Geothermal energy as a source of electricity. A worldwide survey of the design and operation of geothermal power plants
1306:{\displaystyle {\dot {Q}}_{\text{PHX}}={\dot {m}}_{\text{wf}}*(h_{1}-h_{4})={\dot {m}}_{\text{geofluid}}*(h_{a}-h_{c})} 2884: 2807: 2802: 2792: 2737: 2732: 2727: 2712: 1493: 1166:
The equation below can be used to determine the primary heat exchanger duty and mass flow rate of geofluid required.
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is the specific enthalpy of the working fluid at the feed pump outlet, assuming isentropic compression, in kJ/kg
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are the specific enthalpy of the geofluid at the primary heat exchanger inlet and outlet respectively, in kJ/kg
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There are a number of different definitions of efficiency that may be considered; these are discussed below.
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are the specific enthalpy of the working fluid at the condenser inlet and outlet respectively, in kJ/kg
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The equation below can be used to determine the condenser duty and mass flow rate of coolant required.
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The performance of a simple binary cycle and its individual components can be calculated as follows:
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Ronald DiPippo (January 2015). "Geothermal power plants: Evolution and performance assessments".
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The earliest example of a binary cycle geothermal power plant is thought to have been located on
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are the specific enthalpy of coolant at the condenser inlet and outlet respectively, in kJ/kg
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The geothermal reservoir's hot in-situ fluid (or geofluid) is produced to the surface via a
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is the specific enthalpy of the working fluid at the primary heat exchanger inlet, in kJ/kg
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Geothermal Power Plants: Principles, Applications, Case Studies and Environmental Impact
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Geothermal Power Plants: Principles, Applications, Case Studies and Environmental Impact
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taking place at the same time, not much is known about this particular installation.
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is the rate of heat added to the working fluid within the primary heat exchanger, kW
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Another binary cycle geothermal power plant was taken into operation in 1967 near
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as the working fluid at an effective capacity of 250 kW. However, owing to the
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is the specific enthalpy of the working fluid at the feed pump inlet, in kJ/kg
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is the rate of work done by the pump to repressurise the working fluid, in kW
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and rejecting heat at 25°C (≈298 K) has a maximum efficiency of just 34%.
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is the rate of heat removed from the working fluid in the condenser, in kW
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There are numerous binary cycle power stations in commercial production.
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In contrast to conventional geothermal power generation methods like
2604: 2450: 2380:. U.S. DOE Energy Efficiency and Renewable Energy (EERE). 2010-07-06 143:, the main difference being the heat source and the choice of cycle 223: 203: 72: 441: 180: 156: 112: 47: 2608: 1716:{\displaystyle \eta _{\text{Carnot}}=1-{\frac {T_{C}}{T_{H}}}} 131:. Thermodynamically, binary cycle power plants are similar to 2374:"Geothermal Technologies Program: Hydrothermal Power Systems" 1780:
are the hot and cold absolute temperature respectively, in K
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and provides this to the secondary cycle, which converts
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Process diagram of a binary cycle geothermal power plant
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Thermodynamics: An Engineering Approach, Seventh Edition
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of the working fluid at the turbine inlet, in kJ/kg
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Boston: McGraw-Hill. pp. Chapter 10. 854:{\displaystyle {\dot {m}}_{\text{coolant}}} 433:{\displaystyle {\dot {W}}_{\text{turbine}}} 2627: 2613: 2605: 1419:is the mass flow rate of geofluid, in kg/s 510:is the turbine efficiency, non-dimensional 2131: 2125: 2104: 2098: 2077: 2071: 2048: 2037: 2036: 2033: 2002: 1989: 1973: 1957: 1944: 1925: 1914: 1913: 1904: 1893: 1892: 1882: 1871: 1870: 1866: 1855: 1844: 1843: 1836: 1825: 1824: 1821: 1812: 1807: 1801: 1764: 1758: 1737: 1731: 1705: 1695: 1689: 1674: 1668: 1627: 1616: 1615: 1607: 1596: 1595: 1585: 1574: 1573: 1569: 1558: 1547: 1546: 1539: 1528: 1527: 1524: 1515: 1510: 1504: 1459: 1453: 1432: 1426: 1403: 1392: 1391: 1388: 1365: 1359: 1336: 1325: 1324: 1321: 1294: 1281: 1265: 1254: 1253: 1240: 1227: 1211: 1200: 1199: 1189: 1178: 1177: 1174: 1141: 1135: 1112: 1106: 1083: 1077: 1054: 1043: 1042: 1039: 1015: 1006: 997: 984: 968: 957: 956: 946: 935: 934: 931: 901: 895: 874: 868: 861:is the mass flow rate of coolant, in kg/s 845: 834: 833: 830: 807: 801: 780: 774: 751: 740: 739: 736: 709: 696: 680: 669: 668: 655: 642: 626: 615: 614: 604: 593: 592: 589: 556: 550: 523: 517: 494: 488: 465: 454: 453: 450: 424: 413: 412: 409: 383: 370: 354: 341: 330: 329: 319: 308: 307: 304: 183:. The secondary cycle is a closed cycle. 1063:{\displaystyle {\dot {W}}_{\text{pump}}} 283: 2307: 1345:{\displaystyle {\dot {Q}}_{\text{PHX}}} 1157:is the pump efficiency, non-dimensional 175:before being cooled and condensed in a 2064:is the exergy rate of geofluid, in kW. 503:{\displaystyle \eta _{\text{turbine}}} 474:{\displaystyle {\dot {m}}_{\text{wf}}} 2581: 2579: 88: Secondary Cycle - Working fluid 7: 1789:The second law efficiency (from the 54:to drive the generator and generate 2475:. Amsterdam: Butterworth-Heinemann. 1492:The first law efficiency (from the 1150:{\displaystyle \eta _{\text{pump}}} 46:, and secondary cycle converts the 2185:Environmental compatibility - non- 25: 2412:10.1016/J.GEOTHERMICS.2014.07.005 2932: 2922: 2908: 2907: 2673: 2570:"Te Huka Geothermal Power Plant" 2491:United States, Patent No.3795103 27:Type of geothermal power station 2250:Kirchstockach (Munich), Germany 2208:Low cost and readily available. 2011: 2008: 1982: 1963: 1937: 1934: 1300: 1274: 1246: 1220: 1003: 977: 715: 689: 661: 635: 389: 363: 82: Primary Cycle - Geofluid 1: 1092:{\displaystyle h_{\text{4s}}} 565:{\displaystyle h_{\text{2s}}} 2572:. Global Energy Observatory. 1791:Second law of thermodynamics 2885:Energy return on investment 2235:, California, United States 1494:First law of thermodynamics 2975: 2854:Enhanced geothermal system 2239:Steamboat Springs (Nevada) 2165: 2155:or reinjection conditions. 1652: 2903: 2671: 2519:Ormat Technologies, Inc. 2199:ozone depletion potential 2544:. Ormat. 20 August 2009. 2195:global warming potential 18:Binary cycle power plant 2471:Ronald DiPippo (2008). 2441:Ronald DiPippo (1980), 2336:Ronald DiPippo (2016). 2269:Geothermie Unterhaching 2168:Working fluid selection 2162:Working fluid selection 2281:Geothermal electricity 2141: 2114: 2087: 2058: 2021: 1774: 1747: 1717: 1639: 1469: 1442: 1413: 1375: 1346: 1307: 1162:Primary Heat Exchanger 1151: 1122: 1093: 1064: 1025: 911: 884: 855: 817: 790: 761: 722: 566: 533: 504: 475: 434: 396: 289: 210:mixture respectively. 188:Organic Rankine cycles 96: 2342:Butterworth-Heinemann 2291:Organic Rankine cycle 2264:Husavik Power station 2245:Te Huka Power Station 2221:Organic Rankine cycle 2142: 2140:{\displaystyle T_{0}} 2115: 2113:{\displaystyle s_{0}} 2088: 2086:{\displaystyle h_{0}} 2059: 2022: 1785:Second law efficiency 1775: 1773:{\displaystyle T_{H}} 1748: 1746:{\displaystyle T_{C}} 1718: 1640: 1470: 1468:{\displaystyle h_{c}} 1443: 1441:{\displaystyle h_{a}} 1414: 1376: 1374:{\displaystyle h_{4}} 1347: 1308: 1152: 1123: 1121:{\displaystyle h_{3}} 1094: 1065: 1026: 912: 910:{\displaystyle h_{y}} 885: 883:{\displaystyle h_{x}} 856: 818: 816:{\displaystyle h_{3}} 791: 789:{\displaystyle h_{2}} 762: 723: 567: 534: 532:{\displaystyle h_{1}} 505: 476: 435: 397: 287: 76: 2344:. pp. 193–240. 2124: 2097: 2070: 2032: 1800: 1757: 1730: 1667: 1503: 1488:First law efficiency 1452: 1425: 1387: 1358: 1320: 1173: 1134: 1105: 1076: 1038: 930: 894: 867: 829: 800: 773: 735: 588: 549: 516: 487: 449: 408: 303: 141:Rankine Power Cycles 139:in that they employ 137:nuclear power plants 109:geothermal reservoir 36:geothermal resources 2655:Geothermal gradient 2556:"Steamboat Springs" 2521:"Binary Technology" 2205:, chemically inert. 1817: 1520: 2660:Geothermal heating 2487:"DUAL FLUID CYCLE" 2253:Traunreut, Germany 2137: 2110: 2083: 2054: 2017: 1803: 1770: 1743: 1713: 1635: 1506: 1465: 1438: 1409: 1371: 1342: 1303: 1147: 1118: 1089: 1060: 1021: 907: 880: 851: 813: 786: 757: 718: 562: 529: 500: 471: 430: 392: 290: 97: 63:flash power plants 2959:Geothermal energy 2946: 2945: 2650:Geothermal energy 2643:Geothermal energy 2636:Geothermal energy 2351:978-0-08-100879-9 2051: 2045: 2015: 1928: 1922: 1907: 1901: 1885: 1879: 1861: 1858: 1852: 1839: 1833: 1815: 1810: 1711: 1677: 1655:Carnot efficiency 1649:Carnot efficiency 1633: 1630: 1624: 1610: 1604: 1588: 1582: 1564: 1561: 1555: 1542: 1536: 1518: 1513: 1406: 1400: 1339: 1333: 1268: 1262: 1214: 1208: 1192: 1186: 1144: 1086: 1057: 1051: 1018: 987: 971: 965: 949: 943: 848: 842: 754: 748: 683: 677: 629: 623: 607: 601: 559: 497: 468: 462: 427: 421: 386: 357: 344: 338: 322: 316: 16:(Redirected from 2966: 2938:Renewable energy 2936: 2926: 2911: 2910: 2849:District heating 2677: 2665:Geothermal power 2629: 2622: 2615: 2606: 2599: 2598: 2596: 2594: 2583: 2574: 2573: 2566: 2560: 2559: 2552: 2546: 2545: 2538: 2532: 2531: 2529: 2527: 2516: 2510: 2509: 2501: 2495: 2494: 2483: 2477: 2476: 2468: 2462: 2461: 2438: 2432: 2431: 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Retrieved 2588:"Geothermal" 2564: 2550: 2536: 2524:. Retrieved 2514: 2505: 2499: 2490: 2481: 2472: 2466: 2442: 2436: 2403: 2399: 2393: 2382:. Retrieved 2377: 2368: 2337: 2296:Kalina cycle 2258:Kalina cycle 2216: 2213:Power plants 2171: 1788: 1658: 1491: 1483: 1165: 580: 299: 291: 274: 265: 251: 236: 217: 185: 170: 154: 127:and produce 98: 69:Introduction 60: 40:binary cycle 39: 32:binary cycle 31: 29: 2834:Aquaculture 2783:Philippines 2778:New Zealand 2718:El Salvador 2406:: 291–307. 2400:Geothermics 2227:Olkaria III 2191:carciogenic 280:Performance 245:peninsula, 200:refrigerant 196:hydrocarbon 129:electricity 121:Heat Engine 56:electricity 2683:By country 2459:Q112817289 2428:Q112813717 2384:2010-11-02 2360:Q112793147 2302:References 1480:Efficiency 271:Dual fluid 257:Variations 133:coal-fired 2875:Base load 2768:Lithuania 2743:Indonesia 2693:Australia 2420:0375-6505 2203:flammable 2043:˙ 1996:− 1980:∗ 1967:− 1951:− 1932:∗ 1920:˙ 1899:˙ 1889:− 1877:˙ 1850:˙ 1831:˙ 1805:η 1687:− 1672:η 1622:˙ 1602:˙ 1592:− 1580:˙ 1553:˙ 1534:˙ 1508:η 1398:˙ 1331:˙ 1288:− 1272:∗ 1260:˙ 1234:− 1218:∗ 1206:˙ 1184:˙ 1139:η 1049:˙ 1013:η 991:− 975:∗ 963:˙ 941:˙ 922:Feed Pump 840:˙ 753:condenser 746:˙ 703:− 687:∗ 675:˙ 649:− 633:∗ 621:˙ 606:condenser 599:˙ 577:Condenser 492:η 460:˙ 419:˙ 377:− 361:∗ 352:η 348:∗ 336:˙ 314:˙ 243:Kamchatka 190:(ORC) or 181:feed pump 177:condenser 125:generator 101:dry-steam 44:reservoir 2953:Category 2920:Portals: 2914:Category 2788:Portugal 2723:Ethiopia 2455:Wikidata 2424:Wikidata 2356:Wikidata 2275:See also 2153:wet-bulb 2050:geofluid 1927:geofluid 1857:geofluid 1405:geofluid 1267:geofluid 541:enthalpy 157:wellbore 2808:Ukraine 2793:Romania 2763:Lebanon 2738:Iceland 2733:Hungary 2728:Germany 2713:Denmark 2689:Armenia 2593:30 June 2526:30 June 2493:. 1974. 2229:, Kenya 2149:entropy 1884:turbine 1587:turbine 847:coolant 682:coolant 496:turbine 426:turbine 356:turbine 321:turbine 296:Turbine 241:on the 214:History 208:ammonia 202:) or a 173:turbine 2928:Energy 2803:Turkey 2798:Russia 2773:Mexico 2698:Canada 2457:  2426:  2418:  2358:  2348:  2201:, non- 2197:, low 2193:, low 2189:, non- 2120:& 1753:& 1676:Carnot 1448:& 890:& 796:& 247:Russia 220:Ischia 92:  86:  80:  2758:Kenya 2753:Japan 2748:Italy 2708:China 2703:Chile 2187:toxic 224:Italy 204:water 119:(see 115:into 105:flash 50:into 2595:2022 2528:2022 2416:ISSN 2346:ISBN 1906:pump 1814:util 1609:pump 1143:pump 1056:pump 1017:pump 948:pump 117:work 113:heat 52:work 48:heat 2447:doi 2408:doi 1838:net 1629:PHE 1560:PHE 1541:net 1338:PHX 1191:PHX 198:or 135:or 103:or 2955:: 2578:^ 2489:. 2453:, 2445:, 2422:. 2414:. 2404:53 2402:. 2376:. 2354:. 2310:^ 2093:, 1809:II 1517:th 1213:wf 1085:4s 986:4s 970:wf 628:wf 558:2s 467:wf 442:kW 385:2s 343:wf 222:, 147:. 58:. 30:A 2628:e 2621:t 2614:v 2597:. 2558:. 2530:. 2449:: 2430:. 2410:: 2387:. 2362:. 2133:0 2129:T 2106:0 2102:s 2079:0 2075:h 2040:E 2012:] 2009:) 2004:0 2000:s 1991:a 1987:s 1983:( 1975:0 1971:T 1964:) 1959:0 1955:h 1946:a 1942:h 1938:( 1935:[ 1917:m 1896:W 1874:W 1864:= 1847:E 1828:W 1819:= 1766:H 1762:T 1739:C 1735:T 1707:H 1703:T 1697:C 1693:T 1684:1 1681:= 1619:Q 1599:W 1577:W 1567:= 1550:Q 1531:W 1522:= 1512:I 1461:c 1457:h 1434:a 1430:h 1395:m 1367:4 1363:h 1328:Q 1301:) 1296:c 1292:h 1283:a 1279:h 1275:( 1257:m 1250:= 1247:) 1242:4 1238:h 1229:1 1225:h 1221:( 1203:m 1196:= 1181:Q 1114:3 1110:h 1081:h 1046:W 1008:/ 1004:) 999:3 995:h 982:h 978:( 960:m 953:= 938:W 903:y 899:h 876:x 872:h 837:m 809:3 805:h 782:2 778:h 743:Q 716:) 711:x 707:h 698:y 694:h 690:( 672:m 665:= 662:) 657:3 653:h 644:2 640:h 636:( 618:m 611:= 596:Q 554:h 525:1 521:h 457:m 416:W 390:) 381:h 372:1 368:h 364:( 333:m 326:= 311:W 206:- 20:)

Index

Binary cycle power plant
geothermal resources
reservoir
heat
work
electricity
flash power plants

dry-steam
flash
geothermal reservoir
heat
work
Heat Engine
generator
electricity
coal-fired
nuclear power plants
Rankine Power Cycles
working fluid
wellbore
heat exchanger
turbine
condenser
feed pump
Organic Rankine cycles
Kalina cycles
hydrocarbon
refrigerant
water

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