20:
527:
392:
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
82:
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
1523:
1705:
1888:
1087:
811:
70:
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.
74:
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
717:
513:
983:
1391:
913:
652:
1531:
854:
237:
584:
447:
1712:
1189:
364:
1337:
1140:
320:
1288:
1224:
282:
1376:
174:
147:
384:
194:
120:
1246:
260:
389:
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.
988:
726:
102:
governing the operation of motor are made linear by simplifying the effects of the magnetic field from the stator to only its flux,
23:
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.
1352:
152:
125:
1344:
720:
587:
535:
48:
1931:
1379:
1294:
369:
179:
105:
79:
2013:
1231:
245:
32:
2030:
1340:
1192:
1976:
75:
60:
394:
122:, and a term that describes the effect of the stator field on the rotor,
99:
56:
52:
284:
is armature current. When field flux is constant, equation (1) becomes
84:
64:
47:
A motor is an actuator, converting electrical energy in to rotational
88:
78:
are excited by a DC supply, current flows through the windings and a
530:
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
1471:
1415:
176:
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:
1849:
1840:
1839:
1821:
1820:
1796:
1795:
1776:
1769:
1768:
1750:
1749:
1739:
1725:
1724:
1706:
1704:
1703:
1698:
1696:
1694:
1693:
1692:
1680:
1679:
1667:
1666:
1657:
1656:
1638:
1637:
1613:
1612:
1593:
1589:
1588:
1579:
1578:
1569:
1568:
1558:
1544:
1543:
1524:
1522:
1521:
1516:
1514:
1513:
1497:
1496:
1483:
1482:
1465:
1464:
1448:
1447:
1427:
1426:
1380:angular velocity
1377:
1375:
1374:
1369:
1338:
1336:
1335:
1330:
1328:
1320:
1315:
1314:
1295:viscous friction
1289:
1287:
1286:
1281:
1279:
1271:
1266:
1265:
1247:
1245:
1244:
1239:
1225:
1223:
1222:
1217:
1215:
1214:
1209:
1190:
1188:
1187:
1182:
1180:
1178:
1177:
1165:
1160:
1159:
1141:
1139:
1138:
1133:
1131:
1129:
1128:
1116:
1111:
1110:
1088:
1086:
1085:
1080:
1060:
1058:
1050:
1033:
1016:
1015:
984:
982:
981:
976:
965:
963:
955:
947:
939:
938:
914:
912:
911:
906:
895:
887:
886:
855:
853:
852:
847:
845:
837:
836:
812:
810:
809:
804:
802:
798:
796:
795:
786:
776:
775:
750:
718:
716:
715:
710:
708:
704:
702:
701:
692:
691:
690:
674:
653:
651:
650:
645:
628:
627:
606:
605:
585:
583:
582:
577:
569:
568:
556:
555:
514:
512:
511:
506:
504:
500:
498:
497:
488:
487:
486:
470:
448:
446:
445:
440:
432:
431:
419:
418:
385:
383:
382:
377:
365:
363:
362:
357:
352:
351:
339:
321:
319:
318:
313:
311:
306:
283:
281:
280:
275:
273:
261:
259:
258:
253:
238:
236:
235:
230:
228:
220:
219:
195:
193:
192:
187:
175:
173:
172:
167:
165:
164:
148:
146:
145:
140:
138:
137:
121:
119:
118:
113:
89:permanent magnet
67:and many more.
2052:
2051:
2047:
2046:
2045:
2043:
2042:
2041:
2037:Electric motors
2027:
2026:
2025:
2024:
2012:
2008:
1999:
1995:
1986:
1984:
1975:
1974:
1970:
1961:
1959:
1950:
1949:
1945:
1936:
1934:
1930:
1929:
1925:
1916:
1914:
1906:
1905:
1901:
1896:
1867:
1854:
1841:
1831:
1812:
1787:
1777:
1760:
1741:
1740:
1716:
1711:
1710:
1684:
1671:
1658:
1648:
1629:
1604:
1594:
1580:
1570:
1560:
1559:
1535:
1530:
1529:
1508:
1507:
1488:
1485:
1484:
1474:
1467:
1459:
1458:
1439:
1437:
1418:
1411:
1390:
1389:
1351:
1350:
1306:
1301:
1300:
1257:
1252:
1251:
1230:
1229:
1204:
1199:
1198:
1169:
1151:
1146:
1145:
1120:
1102:
1097:
1096:
1051:
1034:
1007:
987:
986:
956:
948:
930:
919:
918:
878:
858:
857:
828:
817:
816:
787:
767:
751:
745:
725:
724:
693:
682:
675:
669:
658:
657:
619:
597:
592:
591:
560:
547:
542:
541:
524:
489:
478:
471:
465:
454:
453:
423:
410:
405:
404:
368:
367:
343:
332:
327:
326:
299:
288:
287:
264:
263:
244:
243:
211:
200:
199:
178:
177:
156:
151:
150:
129:
124:
123:
104:
103:
97:
45:
17:
12:
11:
5:
2050:
2048:
2040:
2039:
2029:
2028:
2023:
2022:
2014:Luca Zaccarian
2006:
1993:
1968:
1943:
1923:
1898:
1897:
1895:
1892:
1874:
1870:
1866:
1861:
1857:
1853:
1848:
1844:
1838:
1834:
1830:
1827:
1824:
1819:
1815:
1811:
1808:
1805:
1802:
1799:
1794:
1790:
1786:
1783:
1780:
1775:
1772:
1767:
1763:
1759:
1756:
1753:
1748:
1744:
1737:
1734:
1731:
1728:
1723:
1719:
1691:
1687:
1683:
1678:
1674:
1670:
1665:
1661:
1655:
1651:
1647:
1644:
1641:
1636:
1632:
1628:
1625:
1622:
1619:
1616:
1611:
1607:
1603:
1600:
1597:
1592:
1587:
1583:
1577:
1573:
1567:
1563:
1556:
1553:
1550:
1547:
1542:
1538:
1512:
1506:
1503:
1500:
1495:
1491:
1487:
1486:
1481:
1477:
1473:
1472:
1470:
1463:
1457:
1454:
1451:
1446:
1442:
1438:
1436:
1433:
1430:
1425:
1421:
1417:
1416:
1414:
1409:
1406:
1403:
1400:
1397:
1384:
1383:
1367:
1364:
1361:
1358:
1348:
1326:
1323:
1318:
1313:
1309:
1298:
1291:
1277:
1274:
1269:
1264:
1260:
1249:
1237:
1227:
1213:
1208:
1196:
1176:
1172:
1168:
1163:
1158:
1154:
1143:
1127:
1123:
1119:
1114:
1109:
1105:
1078:
1075:
1072:
1069:
1066:
1063:
1057:
1054:
1049:
1046:
1043:
1040:
1037:
1031:
1028:
1025:
1022:
1019:
1014:
1010:
1006:
1003:
1000:
997:
994:
974:
971:
968:
962:
959:
954:
951:
945:
942:
937:
933:
929:
926:
904:
901:
898:
894:
890:
885:
881:
877:
874:
871:
868:
865:
844:
840:
835:
831:
827:
824:
801:
794:
790:
785:
782:
779:
774:
770:
766:
763:
760:
757:
754:
748:
744:
741:
738:
735:
732:
707:
700:
696:
689:
685:
681:
678:
672:
668:
665:
643:
640:
637:
634:
631:
626:
622:
618:
615:
612:
609:
604:
600:
575:
572:
567:
563:
559:
554:
550:
523:
520:
503:
496:
492:
485:
481:
477:
474:
468:
464:
461:
438:
435:
430:
426:
422:
417:
413:
375:
355:
350:
346:
342:
338:
335:
310:
305:
302:
298:
295:
272:
251:
227:
223:
218:
214:
210:
207:
185:
163:
159:
136:
132:
111:
96:
93:
76:field windings
44:
41:
33:direct current
15:
13:
10:
9:
6:
4:
3:
2:
2049:
2038:
2035:
2034:
2032:
2019:
2015:
2010:
2007:
2003:
1997:
1994:
1982:
1981:Circuit Globe
1978:
1972:
1969:
1957:
1956:Circuit Globe
1953:
1947:
1944:
1933:
1927:
1924:
1913:
1909:
1903:
1900:
1893:
1891:
1872:
1864:
1859:
1855:
1846:
1842:
1836:
1832:
1828:
1822:
1817:
1813:
1809:
1806:
1797:
1792:
1788:
1784:
1781:
1770:
1765:
1761:
1757:
1754:
1746:
1742:
1735:
1729:
1721:
1717:
1708:
1689:
1681:
1676:
1672:
1663:
1659:
1653:
1649:
1645:
1639:
1634:
1630:
1626:
1623:
1614:
1609:
1605:
1601:
1598:
1590:
1585:
1581:
1575:
1571:
1565:
1561:
1554:
1548:
1540:
1536:
1526:
1510:
1501:
1493:
1489:
1479:
1475:
1468:
1461:
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:
323:
303:
300:
296:
293:
285:
249:
240:
216:
212:
208:
205:
197:
161:
157:
134:
130:
101:
94:
92:
90:
86:
81:
77:
72:
68:
66:
62:
58:
54:
50:
42:
40:
38:
34:
30:
21:
2017:
2009:
2001:
1996:
1985:. 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
Text is available under the Creative Commons Attribution-ShareAlike License. Additional terms may apply.