Knowledge (XXG)

Armature Controlled DC Motor

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These two facts, in addition to the cheaper price of a permanent magnet motor with respect to a standard DC motor (because only the rotor coils need to be wound), are the main reasons why armature controlled motors are widely used. However, several disadvantages arise from this control technique, of
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flux proportional to the current is produced. When the flux from the field interacts with the flux from the armature, it results in motion of the rotor. Armature control is the most common control technique for DC motors. In order to implement this control, the stator flux must be kept constant. To
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Separately excited DC motors are suitable for control applications because of separate field and armature circuit. Two ways to control DC separately excited motors are: Armature Control and Field Control.
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A DC motor consists of two parts: a rotor and a stator. The stator consists of field windings while the rotor (also called the armature) consists of an armature winding. When both the armature and the
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In addition, the motor has an intrinsic negative feedback structure, hence at the steady state, the speed ω is proportional to the reference input Va.
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governing the operation of motor are made linear by simplifying the effects of the magnetic field from the stator to only its flux,
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Modelling of armature control DC motor is discussed in the article: representing basic structure of separately excited DC motor
526: 659: 455: 19: 1518:{\displaystyle \omega (s)={\begin{bmatrix}W_{1}(s)&W_{2}(s)\end{bmatrix}}{\begin{bmatrix}V_{a}\\T_{L}(s)\end{bmatrix}}} 920: 1700:{\displaystyle W_{1}(s)={\frac {K_{a}K_{\phi }K_{m}\phi }{(1+\tau _{a}s)(1+\tau _{m}s)+K_{a}K_{m}(K_{\phi }\phi )^{2}}}} 859: 393:
which major is the flow of large currents during transients. For example, when started speed ω is zero initially, hence
593: 91:. In the latter case, the motor is said to be a permanent magnet DC motor and is driven by the armature coils only. 1883:{\displaystyle W_{2}(s)={\frac {K_{m}(1+\tau _{a}s)}{(1+\tau _{a}s)(1+\tau _{m}s)+K_{a}K_{m}(K_{\phi }\phi )^{2}}}} 818: 201: 543: 406: 2036: 1147: 1302: 1098: 36: 1253: 328: 1200: 289: 1951: 1907: 398: 265: 518:
which will be very high causing increase in heating of machine and it may damage the insulation.
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is armature current. When field flux is constant, equation (1) becomes
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A motor is an actuator, converting electrical energy in to rotational
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are excited by a DC supply, current flows through the windings and a
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block diagram of separately excited DC motor with armature control.
1932:"Armature & Field Control of DC Motors | Motor Speed Control" 1082:{\displaystyle T(s)-T_{L}(s)=J{d\omega (s) \over dt}+F\omega (s)} 806:{\displaystyle I(s)=\left({\frac {V(s)-E_{b}(s)}{R_{a}}}\right)} 51:. A motor requiring a DC power supply for operation is termed a 55:. DC motors are widely used in control applications like 1908:"Armature Circuit - an overview | ScienceDirect Topics" 712:{\displaystyle I=\left({\frac {V-E_{b}}{R_{a}}}\right)} 508:{\displaystyle I=\left({\frac {V-E_{b}}{R_{a}}}\right)} 87:
is kept constant or the stator coils are replaced by a
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is unlikely to be a constant and may be a function of
35:(DC) motor that uses a permanent magnet driven by the 1715: 1534: 1394: 1355: 1305: 1256: 1234: 1203: 1150: 1101: 991: 978:{\displaystyle T-T_{L}=J{d\omega \over dt}+F\omega } 923: 862: 821: 729: 662: 596: 546: 458: 409: 401:) governed by the following relation, would be zero. 372: 331: 292: 268: 248: 204: 182: 155: 128: 108: 1386:
The transfer matrix of the system may be written as
1882: 1699: 1517: 1370: 1331: 1282: 1240: 1218: 1183: 1134: 1081: 977: 908:{\displaystyle T(s)=K_{\phi }\Phi \mathrm {I} (s)} 907: 848: 805: 711: 646: 578: 507: 441: 378: 358: 314: 276: 254: 231: 188: 168: 141: 114: 647:{\displaystyle E_{b}(s)=K_{\phi }\phi \omega (s)} 2018:DC motors: dynamic model and control techniques 1092:Various parameters in figure are described as 8: 849:{\displaystyle T=K_{\phi }\Phi \mathrm {I} } 232:{\displaystyle T=K_{\phi }\Phi \mathrm {I} } 579:{\displaystyle E_{b}=K_{\phi }\phi \omega } 442:{\displaystyle E_{b}=K_{\phi }\phi \omega } 1871: 1858: 1845: 1835: 1816: 1791: 1764: 1745: 1738: 1720: 1714: 1688: 1675: 1662: 1652: 1633: 1608: 1584: 1574: 1564: 1557: 1539: 1533: 1492: 1478: 1466: 1443: 1422: 1410: 1393: 1354: 1319: 1310: 1304: 1270: 1261: 1255: 1233: 1210: 1205: 1202: 1184:{\displaystyle \tau _{a}={L \over R_{a}}} 1173: 1164: 1155: 1149: 1124: 1115: 1106: 1100: 1032: 1011: 990: 946: 934: 922: 891: 882: 861: 841: 832: 820: 791: 771: 749: 728: 697: 686: 673: 661: 623: 601: 595: 564: 551: 545: 493: 482: 469: 457: 427: 414: 408: 371: 347: 330: 307: 291: 269: 267: 247: 224: 215: 203: 181: 160: 154: 133: 127: 107: 525: 18: 1952:"Difference Between Stator & Rotor" 1899: 1248:is a constant depending on field flux. 1332:{\displaystyle \tau _{m}={J \over F}} 1135:{\displaystyle K_{a}={1 \over R_{a}}} 7: 452:Also, armature current is given by 1206: 892: 888: 842: 838: 373: 308: 270: 225: 221: 183: 109: 14: 1283:{\displaystyle K_{m}={1 \over F}} 359:{\displaystyle K'=K_{\phi }\phi } 1219:{\displaystyle \mathrm {T} _{m}} 315:{\displaystyle T=K'\mathrm {I} } 83:achieve this, either the stator 2002:Electric Machinery Fundamentals 522:Equations for transfer function 1868: 1851: 1825: 1803: 1800: 1778: 1773: 1751: 1732: 1726: 1685: 1668: 1642: 1620: 1617: 1595: 1551: 1545: 1504: 1498: 1455: 1449: 1434: 1428: 1404: 1398: 1365: 1359: 1076: 1070: 1047: 1041: 1023: 1017: 1001: 995: 902: 896: 872: 866: 783: 777: 761: 755: 739: 733: 641: 635: 613: 607: 1: 95:Equations for motor operation 277:{\displaystyle \mathrm {I} } 29:armature controlled DC motor 43:Basic operation of DC motor 2053: 1371:{\displaystyle \omega (s)} 169:{\displaystyle K_{\phi }} 142:{\displaystyle K_{\phi }} 534:Essential Equations for 1884: 1701: 1519: 1372: 1333: 1284: 1242: 1220: 1185: 1136: 1083: 979: 909: 850: 807: 713: 648: 580: 531: 509: 443: 380: 360: 316: 278: 256: 233: 190: 170: 143: 116: 24: 16:Type of electric motor 1912:www.sciencedirect.com 1885: 1702: 1520: 1373: 1334: 1285: 1243: 1221: 1186: 1137: 1084: 980: 910: 851: 808: 714: 649: 581: 529: 510: 444: 381: 379:{\displaystyle \Phi } 361: 317: 279: 257: 234: 191: 189:{\displaystyle \Phi } 171: 144: 117: 115:{\displaystyle \Phi } 22: 2000:Stephen J. Chapman, 1713: 1532: 1392: 1353: 1303: 1254: 1232: 1226:is the motor torque. 1201: 1148: 1099: 989: 921: 860: 819: 727: 660: 594: 544: 456: 407: 370: 329: 290: 266: 262:is motor torque and 246: 202: 180: 153: 126: 106: 1290:is mechanical gain. 399:electromotive force 1977:"Armature Winding" 1880: 1697: 1515: 1509: 1460: 1368: 1339:is the mechanical 1329: 1280: 1238: 1216: 1191:is the electrical 1181: 1142:is the rotor gain. 1132: 1079: 985:in Laplace domain 975: 905: 856:in Laplace domain 846: 803: 709: 644: 576: 532: 505: 439: 376: 356: 312: 274: 252: 229: 186: 166: 139: 112: 25: 1878: 1695: 1378:is the resulting 1345:moment of inertia 1327: 1278: 1241:{\displaystyle K} 1179: 1130: 1059: 964: 797: 703: 536:transfer function 499: 255:{\displaystyle T} 49:mechanical energy 2044: 2021: 2011: 2005: 1998: 1992: 1991: 1989: 1988: 1973: 1967: 1966: 1964: 1963: 1948: 1942: 1941: 1939: 1938: 1928: 1922: 1921: 1919: 1918: 1904: 1889: 1887: 1886: 1881: 1879: 1877: 1876: 1875: 1863: 1862: 1850: 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1452: 1444: 1440: 1431: 1423: 1419: 1412: 1407: 1401: 1395: 1387: 1381: 1362: 1356: 1349: 1346: 1343:, where J is 1342: 1341:time constant 1324: 1321: 1316: 1311: 1307: 1299: 1296: 1292: 1275: 1272: 1267: 1262: 1258: 1250: 1235: 1228: 1211: 1197: 1194: 1193:time constant 1174: 1170: 1166: 1161: 1156: 1152: 1144: 1125: 1121: 1117: 1112: 1107: 1103: 1095: 1094: 1093: 1090: 1073: 1067: 1064: 1061: 1055: 1052: 1044: 1038: 1035: 1029: 1026: 1020: 1012: 1008: 1004: 998: 992: 972: 969: 966: 960: 957: 952: 949: 943: 940: 935: 931: 927: 924: 916: 899: 883: 879: 875: 869: 863: 833: 829: 825: 822: 814: 799: 792: 788: 780: 772: 768: 764: 758: 752: 746: 742: 736: 730: 722: 705: 698: 694: 687: 683: 679: 676: 670: 666: 663: 655: 638: 632: 629: 624: 620: 616: 610: 602: 598: 589: 573: 570: 565: 561: 557: 552: 548: 539: 537: 528: 521: 519: 516: 501: 494: 490: 483: 479: 475: 472: 466: 462: 459: 450: 436: 433: 428: 424: 420: 415: 411: 402: 400: 396: 390: 387: 386:is constant. 353: 348: 344: 340: 336: 333: 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Retrieved 1983:. 2016-01-05 1980: 1971: 1960:. Retrieved 1958:. 2017-10-11 1955: 1946: 1935:. Retrieved 1926: 1915:. Retrieved 1911: 1902: 1709: 1527: 1388: 1385: 1347:of the load. 1297:coefficient. 1091: 917: 815: 656: 540: 533: 517: 451: 403: 391: 388: 324: 286: 241: 198: 98: 73: 69: 46: 39:coils only. 28: 26: 61:tape drives 1987:2021-01-08 1962:2021-01-08 1937:2021-01-08 1917:2021-01-08 1894:References 1865:ϕ 1860:ϕ 1814:τ 1789:τ 1762:τ 1682:ϕ 1677:ϕ 1631:τ 1606:τ 1591:ϕ 1576:ϕ 1396:ω 1357:ω 1308:τ 1153:τ 1068:ω 1039:ω 1005:− 973:ω 953:ω 928:− 889:Φ 884:ϕ 839:Φ 834:ϕ 765:− 680:− 633:ω 630:ϕ 625:ϕ 574:ω 571:ϕ 566:ϕ 476:− 437:ω 434:ϕ 429:ϕ 374:Φ 354:ϕ 349:ϕ 222:Φ 217:ϕ 184:Φ 162:ϕ 135:ϕ 110:Φ 100:Equations 2031:Category 395:back EMF 337:′ 304:′ 80:magnetic 65:machines 57:robotics 53:DC motor 37:armature 723:domain 721:Laplace 590:domain 588:Laplace 85:voltage 1528:where 325:where 242:where 1890:(11) 1707:(10) 1293:F is 31:is a 1525:(9) 1089:(8) 915:(7) 813:(6) 654:(5) 515:(4) 449:(3) 322:(2) 239:(1) 719:in 586:in 366:as 27:An 2033:: 2016:, 1979:. 1954:. 1910:. 538:: 196:: 149:. 63:, 59:, 2020:. 2004:. 1990:. 1965:. 1940:. 1920:. 1873:2 1869:) 1856:K 1852:( 1847:m 1843:K 1837:a 1833:K 1829:+ 1826:) 1823:s 1818:m 1810:+ 1807:1 1804:( 1801:) 1798:s 1793:a 1785:+ 1782:1 1779:( 1774:) 1771:s 1766:a 1758:+ 1755:1 1752:( 1747:m 1743:K 1736:= 1733:) 1730:s 1727:( 1722:2 1718:W 1690:2 1686:) 1673:K 1669:( 1664:m 1660:K 1654:a 1650:K 1646:+ 1643:) 1640:s 1635:m 1627:+ 1624:1 1621:( 1618:) 1615:s 1610:a 1602:+ 1599:1 1596:( 1586:m 1582:K 1572:K 1566:a 1562:K 1555:= 1552:) 1549:s 1546:( 1541:1 1537:W 1511:] 1505:) 1502:s 1499:( 1494:L 1490:T 1480:a 1476:V 1469:[ 1462:] 1456:) 1453:s 1450:( 1445:2 1441:W 1435:) 1432:s 1429:( 1424:1 1420:W 1413:[ 1408:= 1405:) 1402:s 1399:( 1382:. 1366:) 1363:s 1360:( 1325:F 1322:J 1317:= 1312:m 1276:F 1273:1 1268:= 1263:m 1259:K 1236:K 1212:m 1207:T 1195:. 1175:a 1171:R 1167:L 1162:= 1157:a 1126:a 1122:R 1118:1 1113:= 1108:a 1104:K 1077:) 1074:s 1071:( 1065:F 1062:+ 1056:t 1053:d 1048:) 1045:s 1042:( 1036:d 1030:J 1027:= 1024:) 1021:s 1018:( 1013:L 1009:T 1002:) 999:s 996:( 993:T 970:F 967:+ 961:t 958:d 950:d 944:J 941:= 936:L 932:T 925:T 903:) 900:s 897:( 893:I 880:K 876:= 873:) 870:s 867:( 864:T 843:I 830:K 826:= 823:T 800:) 793:a 789:R 784:) 781:s 778:( 773:b 769:E 762:) 759:s 756:( 753:V 747:( 743:= 740:) 737:s 734:( 731:I 706:) 699:a 695:R 688:b 684:E 677:V 671:( 667:= 664:I 642:) 639:s 636:( 621:K 617:= 614:) 611:s 608:( 603:b 599:E 562:K 558:= 553:b 549:E 502:) 495:a 491:R 484:b 480:E 473:V 467:( 463:= 460:I 425:K 421:= 416:b 412:E 397:( 345:K 341:= 334:K 309:I 301:K 297:= 294:T 271:I 250:T 226:I 213:K 209:= 206:T 158:K 131:K

Index


direct current
armature
mechanical energy
DC motor
robotics
tape drives
machines
field windings
magnetic
voltage
permanent magnet
Equations
back EMF
electromotive force

transfer function
Laplace
Laplace
time constant
viscous friction
time constant
moment of inertia
angular velocity
"Armature Circuit - an overview | ScienceDirect Topics"
"Armature & Field Control of DC Motors | Motor Speed Control"
"Difference Between Stator & Rotor"
"Armature Winding"
Luca Zaccarian
Category

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