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Flywheel

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1278:, that can either produce or sink reactive power but would not affect the real power. The purposes for that application are to improve the power factor of the system or adjust the grid voltage. Typically, the flywheels used in this field are similar in structure and installation as the synchronous motor (but it is called synchronous compensator or synchronous condenser in this context). There are also some other kinds of compensator using flywheels, like the single phase induction machine. But the basic ideas here are the same, the flywheels are controlled to spin exactly at the frequency which you want to compensate. For a synchronous compensator, you also need to keep the voltage of rotor and stator in phase, which is the same as keeping the magnetic field of rotor and the total magnetic field in phase (in the 27: 1174:
failure, a superflywheel does not explode or burst into large shards like a regular flywheel, but instead splits into layers. The separated layers then slow a superflywheel down by sliding against the inner walls of the enclosure, thus preventing any further destruction. Although the exact value of energy density of a superflywheel would depend on the material used, it could theoretically be as high as 1200 Wh (4.4 MJ) per kg of mass for graphene superflywheels. The first superflywheel was patented in 1964 by the Soviet-Russian scientist
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In this context, using lead for a flywheel in a child's toy is not efficient; however, the flywheel velocity never approaches its burst velocity because the limit in this case is the pulling-power of the child. In other applications, such as an automobile, the flywheel operates at a specified angular
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A flywheel may also be used to supply intermittent pulses of energy at power levels that exceed the abilities of its energy source. This is achieved by accumulating energy in the flywheel over a period of time, at a rate that is compatible with the energy source, and then releasing energy at a much
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The efficiency of a flywheel is determined by the maximum amount of energy it can store per unit weight. As the flywheel's rotational speed or angular velocity is increased, the stored energy increases; however, the stresses also increase. If the hoop stress surpass the tensile strength of the
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consists of a solid core (hub) and multiple thin layers of high-strength flexible materials (such as special steels, carbon fiber composites, glass fiber, or graphene) wound around it. Compared to conventional flywheels, superflywheels can store more energy and are safer to operate. In case of
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Flywheels are made from many different materials; the application determines the choice of material. Small flywheels made of lead are found in children's toys. Cast iron flywheels are used in old steam engines. Flywheels used in car engines are made of cast or nodular iron, steel or aluminum.
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with respect to the mechanical velocity (angular, or otherwise) of the system. More precisely, a flywheel's stored energy will donate a surge in power output upon a drop in power input and will conversely absorb any excess power input (system-generated power) in the form of rotational energy.
891:. Calculation of the flywheel's moment of inertia can be more easily analysed by applying various simplifications. One method is to assume the spokes, shaft and hub have zero moments of inertia, and the flywheel's moment of inertia is from the rim alone. Another is to 121: 1371: 531: 1840: 671: 1062:
eliminates the annulus holes, shaft or hub. It has higher energy density than conventional design but requires a specialized magnetic bearing and control system. The specific energy of a flywheel is determined
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Flywheels are often used to provide continuous power output in systems where the energy source is not continuous. For example, a flywheel is used to smooth the fast angular velocity fluctuations of the
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Ibn Bassal (AD 1038–75) of Al Andalus (Andalusia) pioneered the use of a flywheel mechanism in the noria and saqiya to smooth out the delivery of power from the driving device to the driven machine
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Li, Xiaojun; Palazzolo, Alan (2018-05-07). "Multi-Input–Multi-Output Control of a Utility-Scale, Shaftless Energy Storage Flywheel With a Five-Degrees-of-Freedom Combination Magnetic Bearing".
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An electric motor-powered flywheel is common in practice. The output power of the electric motor is approximately equal to the output power of the flywheel. It can be calculated by
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velocity and is constrained by the space it must fit in, so the goal is to maximize the stored energy per unit volume. The material selection therefore depends on the application.
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Weissbach, R. S.; Karady, G.G.; Farmer, R. G. (April 2001). "A combined uninterruptible power supply and dynamic voltage compensator using a flywheel energy storage system".
76:. As with other types of accumulators, a flywheel inherently smooths sufficiently small deviations in the power output of a system, thereby effectively playing the role of a 124: 1144: 865: 753: 1164: 825: 729: 698: 408: 1166:
the density. While a typical flywheel has a shape factor of 0.3, the shaftless flywheel has a shape factor close to 0.6, out of a theoretical limit of about 1.
1124: 987: 845: 338: 286: 413: 318: 100:, etc. Flywheels are typically made of steel and rotate on conventional bearings; these are generally limited to a maximum revolution rate of a few thousand 969:. For example, if the moments of inertia of hub, spokes and shaft are deemed negligible, and the rim's thickness is very small compared to its mean radius ( 895:
moments of inertia of spokes, hub and shaft may be estimated as a percentage of the flywheel's moment of inertia, with the majority from the rim, so that
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is the angle between two voltages. Increasing amounts of rotation energy can be stored in the flywheel until the rotor shatters. This happens when the
1879: 1903: 1383:, "Breakthrough in Ricardo Kinergy ‘second generation’ high-speed flywheel technology"; Press release date: 22 August 2011. retrieved 2012-07-03 578:. The flywheel material with the highest specific tensile strength will yield the highest energy storage per unit mass. This is one reason why 2478: 1838:
https://pserc.wisc.edu/documents/general_information/presentations/presentations_by_pserc_university_members/heydt_synchronous_mach_sep03.pdf
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applied on a spinning object (i.e. the higher the moment of inertia, the slower it will accelerate when a given torque is applied). The
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Flywheels can be used to control direction and oppose unwanted motions. Flywheels in this context have a wide range of applications:
161:. The use of the flywheel as a general mechanical device to equalize the speed of rotation is, according to the American medievalist 61:
revolving about some fixed axis) then the stored (rotational) energy is directly associated with the square of its rotational speed.
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Flywheel Rotor And Containment Technology Development, FY83. Livermore, Calif: Lawrence Livermore National Laboratory, 1983. pp. 1–2
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Flywheels made from high-strength steel or composites have been proposed for use in vehicle energy storage and braking systems.
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material, the flywheel will break apart. Thus, the tensile strength limits the amount of energy that a flywheel can store.
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in a reciprocating engine. In this case, a crankshaft flywheel stores energy when torque is exerted on it by a firing
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is a material of interest. For a given design the stored energy is proportional to the hoop stress and the volume.
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and then returns that energy to the piston to compress a fresh charge of air and fuel. Another example is the
547: 92:, delivering energy at higher rates than the source, controlling the orientation of a mechanical system using 57:. In particular, assuming the flywheel's moment of inertia is constant (i.e., a flywheel with fixed mass and 2298: 1275: 227: 89: 770: 2120: 1357:; "Flywheels move from steam age technology to Formula 1"; Jon Stewart | 1 July 2012, retrieved 2012-07-03 2237: 2078: 1059: 177: 58: 1863: 343: 2232: 2004: 1526:"A Utility Scale Flywheel Energy Storage System with a Shaftless, Hubless, High Strength Steel Rotor" 1291: 892: 880: 170: 85: 73: 33:'s 1802 steam locomotive, which used a flywheel to evenly distribute the power of its single cylinder 64:
Since a flywheel serves to store mechanical energy for later use, it is natural to consider it as a
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of the flywheel about its axis of symmetry. The moment of inertia is a measure of resistance to
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higher rate over a relatively short time when it is needed. For example, flywheels are used in
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Li, Xiaojun; Anvari, Bahar; Palazzolo, Alan; Wang, Zhiyang; Toliyat, Hamid (2018-08-14).
526:{\textstyle {\frac {1}{2}}m({r_{\mathrm {external} }}^{2}+{r_{\mathrm {internal} }}^{2})} 383: 2374: 2344: 2199: 1966: 1607: 1414: 1311: 1264: 1260: 1256: 1225: 1203: 1109: 972: 830: 764: 323: 271: 213: 97: 65: 2561: 2546: 2437: 2430: 2407: 2252: 2184: 2179: 2143: 2060: 2000: 1961: 1951: 1525: 189: 1869: 1368:"Breakthrough in Ricardo Kinergy 'second generation' high-speed flywheel technology" 536:
For a given flywheel design, the kinetic energy is proportional to the ratio of the
2163: 2158: 2125: 2030: 2020: 1956: 1940: 1713: 1549: 1241: 579: 303: 185: 104:. High energy density flywheels can be made of carbon fiber composites and employ 1660: 149:, as well as circular sharpening stones in antiquity. In the early 11th century, 2541: 2425: 2242: 2194: 2153: 2110: 2040: 884: 756: 537: 2513: 2473: 2452: 2447: 2349: 2334: 2257: 2189: 2115: 2055: 1986: 1217: 181: 162: 150: 1888: 1812: 1584: 1541: 2468: 2209: 2204: 1991: 1971: 1689:
Proceedings of the 2020 USCToMM Symposium on Mechanical Systems and Robotics
1252: 173:(ca. 1070–1125) who records applying the device in several of his machines. 139: 93: 69: 1858: 1411:
Wind energy engineering: a handbook for onshore and offshore wind turbines
989:), the radius of rotation of the rim is equal to its mean radius and thus 2491: 2487: 2359: 2090: 1981: 1765:(4th ed.). Burlington, MA: Butterworth-Heinemann. pp. 142–146. 1731: 1662:
Kinetic Energy Storage: Theory and Practice of Advanced Flywheel Systems
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Lynn White, Jr., "Medieval Engineering and the Sociology of Knowledge",
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Genta, G. (1985), "Application of flywheel energy storage systems",
410:, and for a thick-walled empty cylinder with constant density it is 108:, enabling them to revolve at speeds up to 60,000 RPM (1  1202: 888: 203: 154: 119: 25: 2483: 1456:
Iron, Steam & Money: The Making of the Industrial Revolution
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Flywheels may also be used as an electric compensator, like a
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Common uses of a flywheel include smoothing a power output in
49:, a form of kinetic energy proportional to the product of its 962:{\displaystyle I_{\mathrm {rim} }=KI_{\mathrm {flywheel} }} 1399:, Vol. 5, No. 2. (Spring, 1964), Review, pp. 224–233 (233) 1342:"Flywheels move from steam age technology to Formula 1" 1048:{\textstyle I_{\mathrm {rim} }=M_{\mathrm {rim} }R^{2}} 380:, for a thin-walled empty cylinder it is approximately 1069: 995: 591: 550: 416: 386: 346: 306: 230: 196:
to transform reciprocating motion into rotary motion.
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contributed to the development of the flywheel in the
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can be calculated for cylindrical shapes using mass (
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is a mechanical device that uses the conservation of
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Journal of Dynamic Systems, Measurement, and Control
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(Feb., 1975), pp. 1–21 (6) 1530:IEEE Transactions on Industrial Electronics 1911: 1897: 1889: 1302:Diesel rotary uninterruptible power supply 1395:Lynn White, Jr., "Theophilus Redivivus", 1151: 1131: 1111: 1086: 1070: 1068: 1039: 1022: 1021: 1001: 1000: 994: 974: 931: 930: 907: 906: 900: 852: 832: 812: 791: 781: 772: 740: 715: 709: 684: 678: 651: 628: 615: 599: 590: 571:{\textstyle {\frac {\sigma _{t}}{\rho }}} 557: 551: 549: 514: 485: 484: 479: 469: 440: 439: 434: 417: 415: 394: 385: 364: 347: 345: 325: 305: 273: 248: 231: 229: 1977:Crankcase ventilation system (PCV valve) 1763:Materials Selection in Mechanical Design 1732:"Flywheels: Iron vs. Steel vs. Aluminum" 169:(On various arts) of the German artisan 1333: 257:{\textstyle {\frac {1}{2}}I\omega ^{2}} 1715:, "Маховик", issued 1964-05-15 1692:. Springer Nature. pp. 117–118. 800:{\displaystyle \rho r^{2}\omega ^{2}} 7: 1742:from the original on 10 October 2016 1146:the material's tensile strength and 1793:IEEE Transactions on Power Delivery 1269:Spin-stabilized magnetic levitation 847:is the radius of the cylinder, and 1608:10.1016/b978-0-408-01396-3.50007-2 1029: 1026: 1023: 1008: 1005: 1002: 953: 950: 947: 944: 941: 938: 935: 932: 914: 911: 908: 507: 504: 501: 498: 495: 492: 489: 486: 462: 459: 456: 453: 450: 447: 444: 441: 14: 373:{\textstyle {\frac {1}{2}}mr^{2}} 153:pioneered the use of flywheel in 1857: 1833:from the original on 2022-10-09. 1263:), keeping a toy spin spinning ( 827:is the density of the cylinder, 544:of a flywheel can be defined as 192:used a flywheel combined with a 2079:Overhead valve (pushrod) layout 1497:from the original on 2012-01-05 1374:from the original on 2012-07-05 1348:from the original on 2012-07-03 1481:"Tutorial – Moment of Inertia" 643: 637: 621: 608: 605: 592: 520: 430: 340:). For a solid cylinder it is 1: 1458:. Random House. p. 131. 1442:The Pacific Historical Review 1228:which powers devices such as 1211:tractor with exposed flywheel 759:within the rotor exceeds the 1874:Interesting Thing of the Day 1602:, Elsevier, pp. 27–46, 1409:Letcher, Trevor M. (2017). 1259:, satellite stabilization ( 220:) stored by the flywheel's 2586: 1920:Internal combustion engine 1821:"Synchronous Generators I" 1322:List of moments of inertia 18: 2537: 2388:Diesel particulate filter 2340:Idle air control actuator 2281:Engine control unit (ECU) 1926: 1665:. Butterworth-Heinemann. 761:ultimate tensile strength 542:specific tensile strength 21:Flywheel (disambiguation) 2453:Viscous fan (fan clutch) 2365:Throttle position sensor 2074:Overhead camshaft layout 1659:Genta, G. (2014-04-24). 1542:10.1109/TIE.2017.2772205 1454:Osbourne, Roger (2013). 1280:rotating frame reference 1236:for a given total mass. 208:A mass-produced flywheel 1992:Core plug (freeze plug) 1761:Ashby, Michael (2011). 1276:synchronous compensator 1139:{\displaystyle \sigma } 860:{\displaystyle \omega } 763:of the rotor material. 748:{\displaystyle \delta } 188:, and his contemporary 1600:Kinetic Energy Storage 1397:Technology and Culture 1212: 1160: 1140: 1120: 1100: 1049: 983: 963: 861: 841: 821: 801: 749: 725: 694: 667: 572: 527: 404: 374: 334: 314: 282: 258: 216:(or more specifically 209: 135: 53:and the square of its 34: 1255:for instrumentation, 1206: 1161: 1159:{\displaystyle \rho } 1141: 1126:is the shape factor, 1121: 1101: 1050: 984: 964: 862: 842: 822: 820:{\displaystyle \rho } 802: 767:can be calculated by 750: 726: 724:{\displaystyle V_{t}} 695: 693:{\displaystyle V_{i}} 668: 573: 528: 405: 375: 335: 315: 283: 259: 224:can be calculated by 207: 178:Industrial Revolution 167:De diversibus artibus 130: 86:reciprocating engines 59:second moment of area 29: 2233:Compression ignition 1866:at Wikimedia Commons 1417:. pp. 127–143. 1292:Accumulator (energy) 1150: 1130: 1110: 1067: 993: 973: 899: 851: 831: 811: 771: 739: 708: 677: 589: 548: 414: 384: 344: 324: 304: 272: 228: 171:Theophilus Presbyter 70:electrical capacitor 19:For other uses, see 2383:Catalytic converter 1736:Fidanza Performance 403:{\textstyle mr^{2}} 2509:Knocking / pinging 2101:Combustion chamber 1870:Flywheel batteries 1843:2017-08-30 at the 1307:Dual-mass flywheel 1234:rotational inertia 1213: 1156: 1136: 1116: 1096: 1060:shaftless flywheel 1045: 979: 959: 857: 837: 817: 797: 745: 721: 700:is the voltage of 690: 663: 568: 523: 400: 370: 330: 310: 278: 254: 210: 165:, recorded in the 136: 35: 2555: 2554: 2524:Stratified charge 2291:Electrical system 2273:Engine management 2106:Compression ratio 2046:Starter ring gear 1945:rotating assembly 1862:Media related to 1805:10.1109/61.915493 1772:978-0-08-095223-9 1699:978-3-030-43929-3 1672:978-1-4831-0159-0 1577:10.1115/1.4039857 1317:Flywheel training 1246:riveting machines 1119:{\displaystyle K} 1094: 1078: 982:{\displaystyle R} 871:of the cylinder. 840:{\displaystyle r} 657: 566: 425: 355: 333:{\displaystyle r} 298:moment of inertia 290:moment of inertia 281:{\displaystyle I} 239: 218:rotational energy 133:Leonardo da Vinci 128: 106:magnetic bearings 51:moment of inertia 47:rotational energy 2575: 2398:Exhaust manifold 2263:Spark plug wires 2149:Boost controller 2136:Forced induction 1913: 1906: 1899: 1890: 1861: 1834: 1832: 1825: 1816: 1777: 1776: 1758: 1752: 1751: 1749: 1747: 1728: 1722: 1721: 1720: 1716: 1710: 1704: 1703: 1683: 1677: 1676: 1656: 1650: 1649: 1647: 1646: 1637:. 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1265:friction motor 1261:reaction wheel 1257:ship stability 1226:friction motor 1200: 1197: 1183: 1180: 1155: 1135: 1115: 1093: 1090: 1085: 1082: 1077: 1074: 1042: 1038: 1031: 1028: 1025: 1020: 1016: 1010: 1007: 1004: 999: 978: 955: 952: 949: 946: 943: 940: 937: 934: 929: 925: 922: 916: 913: 910: 905: 876: 873: 856: 836: 816: 794: 790: 784: 780: 776: 765:Tensile stress 744: 718: 714: 687: 683: 661: 654: 650: 645: 642: 639: 636: 633: 627: 623: 618: 614: 610: 607: 602: 598: 594: 565: 560: 556: 522: 517: 509: 506: 503: 500: 497: 494: 491: 488: 483: 477: 472: 464: 461: 458: 455: 452: 449: 446: 443: 438: 432: 429: 424: 421: 397: 393: 389: 367: 363: 359: 354: 351: 329: 320:) and radius ( 313:{\textstyle m} 309: 277: 251: 247: 243: 238: 235: 214:kinetic energy 201: 198: 147:potter's wheel 117: 114: 98:reaction wheel 90:energy storage 66:kinetic energy 15: 13: 10: 9: 6: 4: 3: 2: 2581: 2580: 2569: 2566: 2565: 2563: 2548: 2545: 2543: 2540: 2539: 2536: 2530: 2527: 2525: 2522: 2520: 2517: 2515: 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Index

Flywheel (disambiguation)

Trevithick
angular momentum
rotational energy
moment of inertia
rotational speed
second moment of area
kinetic energy
electrical capacitor
accumulator
low-pass filter
reciprocating engines
energy storage
gyroscope
reaction wheel
RPM
magnetic bearings
kHz
Leonardo da Vinci
Neolithic
spindle
potter's wheel
Ibn Bassal
noria
saqiyah
Lynn White
Theophilus Presbyter
Industrial Revolution
James Watt

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