Jan Rusek, AGH University of Technology, Krakow, Poland

Email                      gerusek@cyf-kr.edu.pl

Home          http://galaxy.uci.agh.edu.pl/~gerusek/

Category2                http://galaxy.uci.agh.edu.pl/~gerusek/Category2.htm

update 2002-02-28

 

_____Category_____

 

SQUIRREL-CAGE INDUCTION MACHINES,  pole-pairs=1…6,  rotor slots=10…130.

 

SIX TABLES (produced by Category.exe) OF:

PARAMETER hMin (or h in (2.33)[1]),

CATEGORY of the machine (or the class, as in [1], page 27),

FREQUENCIES (depending on slip s) OF SLOT HARMONICS,IN SUPPLY CURRENTS

(fSlot_1st_pair, fSlot_2nd_pair),in Hz,

ORDER OF PARASITIC SYNCHRONOUS TORQUE OF TYPE "B" (betB, as in (2.54) of [1]),

SLIP BY WHICH THE ABOVE TORQUE COMPONENT FALLS INTO SYNCHRONISM (s_synB)

FREQUENCY OF THE TORQUE COMPONENT fB, in Hz.

 

[1] Rusek, J "Komputerowa analiza maszyny indukcyjnej z wykorzystaniem bilansu harmonicznych"

(Computer analysis of the induction machine utilizing harmonic balance),

AGH, Uczelniane Wydawnictwa Naukowo-Dydaktyczne, Krakow 2000.

 

==============================================================================

PolePairs=1, SupplyFreq=50, s==Slip             synchronousTorque_betB

______________________________________________________________________________

NR hMin Category fSlot_1st_pair fSlot_2nd_pair  betB  s_synB     fB[Hz]

______________________________________________________________________________

10   1    210      550-500*s                     10   1.2000  |100+500(1-s)| 

                                  950-1000*s                                 

------------------------------------------------------------------------------

11   2    210     1150-1100*s                    22   1.0909  |100+1100(1-s)|

                                 2150-2200*s                                 

------------------------------------------------------------------------------

12   1    111      650-600*s     1250-1200*s                                 

                   550-600*s     1150-1200*s                                 

------------------------------------------------------------------------------

13   2    012                    2650-2600*s    -26   0.9231  |100-1300(1-s)|

                  1250-1300*s                                                

------------------------------------------------------------------------------

14   1    012                    1450-1400*s    -14   0.8571  |100-700(1-s)| 

                   650-700*s                                                 

------------------------------------------------------------------------------

15   2    111     1550-1500*s    3050-3000*s                                 

                  1450-1500*s    2950-3000*s                                 

------------------------------------------------------------------------------

16   1    210      850-800*s                     16   1.1250  |100+800(1-s)| 

                                 1550-1600*s                                 

------------------------------------------------------------------------------

17   2    210     1750-1700*s                    34   1.0588  |100+1700(1-s)|

                                 3350-3400*s                                  

------------------------------------------------------------------------------

18   1    111      950-900*s     1850-1800*s                                 

                   850-900*s     1750-1800*s                                  

------------------------------------------------------------------------------

19   2    012                    3850-3800*s    -38   0.9474  |100-1900(1-s)|

                  1850-1900*s                                                

------------------------------------------------------------------------------

20   1    012                    2050-2000*s    -20   0.9000  |100-1000(1-s)|

                   950-1000*s                                                

------------------------------------------------------------------------------

21   2    111     2150-2100*s    4250-4200*s                                 

                  2050-2100*s    4150-4200*s                                 

------------------------------------------------------------------------------

22   1    210     1150-1100*s                    22   1.0909  |100+1100(1-s)|

                                 2150-2200*s                                 

------------------------------------------------------------------------------

23   2    210     2350-2300*s                    46   1.0435  |100+2300(1-s)|

                                 4550-4600*s                                 

------------------------------------------------------------------------------

24   1    111     1250-1200*s    2450-2400*s                                 

                  1150-1200*s    2350-2400*s                                 

------------------------------------------------------------------------------

25   2    012                    5050-5000*s    -50   0.9600  |100-2500(1-s)|

                  2450-2500*s                                                

------------------------------------------------------------------------------

26   1    012                    2650-2600*s    -26   0.9231  |100-1300(1-s)|

                  1250-1300*s                                                

------------------------------------------------------------------------------

27   2    111     2750-2700*s    5450-5400*s                                  

                  2650-2700*s    5350-5400*s                                 

------------------------------------------------------------------------------

28   1    210     1450-1400*s                    28   1.0714  |100+1400(1-s)|

                                 2750-2800*s                                 

------------------------------------------------------------------------------

29   2    210     2950-2900*s                    58   1.0345  |100+2900(1-s)|

                                 5750-5800*s                                 

------------------------------------------------------------------------------

30   1    111     1550-1500*s    3050-3000*s                                 

                  1450-1500*s    2950-3000*s                                 

------------------------------------------------------------------------------

31   2    012                    6250-6200*s    -62   0.9677  |100-3100(1-s)|

                  3050-3100*s                                                 

------------------------------------------------------------------------------

32   1    012                    3250-3200*s    -32   0.9375  |100-1600(1-s)|

                  1550-1600*s                                                 

------------------------------------------------------------------------------

33   2    111     3350-3300*s    6650-6600*s                                 

                  3250-3300*s    6550-6600*s                                 

------------------------------------------------------------------------------

34   1    210     1750-1700*s                    34   1.0588  |100+1700(1-s)|

                                 3350-3400*s                                 

------------------------------------------------------------------------------

35   2    210     3550-3500*s                    70   1.0286  |100+3500(1-s)|

                                 6950-7000*s                                 

------------------------------------------------------------------------------

36   1    111     1850-1800*s    3650-3600*s                                 

                  1750-1800*s    3550-3600*s                                 

------------------------------------------------------------------------------

37   2    012                    7450-7400*s    -74   0.9730  |100-3700(1-s)|

                  3650-3700*s                                                

------------------------------------------------------------------------------

38   1    012                    3850-3800*s    -38   0.9474  |100-1900(1-s)|

                  1850-1900*s                                                

------------------------------------------------------------------------------

39   2    111     3950-3900*s    7850-7800*s                                 

                  3850-3900*s    7750-7800*s                                 

------------------------------------------------------------------------------

40   1    210     2050-2000*s                    40   1.0500  |100+2000(1-s)|

                                 3950-4000*s                                 

------------------------------------------------------------------------------

41   2    210     4150-4100*s                    82   1.0244  |100+4100(1-s)|

                                 8150-8200*s                                 

------------------------------------------------------------------------------

42   1    111     2150-2100*s    4250-4200*s                                 

                  2050-2100*s    4150-4200*s                                 

------------------------------------------------------------------------------

43   2    012                    8650-8600*s    -86   0.9767  |100-4300(1-s)|

                  4250-4300*s                                                

------------------------------------------------------------------------------

44   1    012                    4450-4400*s    -44   0.9545  |100-2200(1-s)|

                  2150-2200*s                                                 

------------------------------------------------------------------------------

45   2    111     4550-4500*s    9050-9000*s                                 

                  4450-4500*s    8950-9000*s                                  

------------------------------------------------------------------------------

46   1    210     2350-2300*s                    46   1.0435  |100+2300(1-s)|

                                 4550-4600*s                                 

------------------------------------------------------------------------------

47   2    210     4750-4700*s                    94   1.0213  |100+4700(1-s)|

                                 9350-9400*s                                 

------------------------------------------------------------------------------

48   1    111     2450-2400*s    4850-4800*s                                 

                  2350-2400*s    4750-4800*s                                 

------------------------------------------------------------------------------

49   2    012                    9850-9800*s    -98   0.9796  |100-4900(1-s)|

                  4850-4900*s                                                

------------------------------------------------------------------------------

50   1    012                    5050-5000*s    -50   0.9600  |100-2500(1-s)|

                  2450-2500*s                                                

------------------------------------------------------------------------------

51   2    111     5150-5100*s   10250-10200*s                                

                  5050-5100*s   10150-10200*s                                

------------------------------------------------------------------------------

52   1    210     2650-2600*s                    52   1.0385  |100+2600(1-s)|

                                 5150-5200*s                                 

------------------------------------------------------------------------------

53   2    210     5350-5300*s                   106   1.0189  |100+5300(1-s)|

                                10550-10600*s                                

------------------------------------------------------------------------------

54   1    111     2750-2700*s    5450-5400*s                                  

                  2650-2700*s    5350-5400*s                                 

------------------------------------------------------------------------------

55   2    012                   11050-11000*s  -110   0.9818  |100-5500(1-s)|

                  5450-5500*s                                                

------------------------------------------------------------------------------

56   1    012                    5650-5600*s    -56   0.9643  |100-2800(1-s)|

                  2750-2800*s                                                

------------------------------------------------------------------------------

57   2    111     5750-5700*s   11450-11400*s                                

                  5650-5700*s   11350-11400*s                                

------------------------------------------------------------------------------

58   1    210     2950-2900*s                    58   1.0345  |100+2900(1-s)|

                                 5750-5800*s                                  

------------------------------------------------------------------------------

59   2    210     5950-5900*s                   118   1.0169  |100+5900(1-s)|

                                11750-11800*s                                 

------------------------------------------------------------------------------

60   1    111     3050-3000*s    6050-6000*s                                 

                  2950-3000*s    5950-6000*s                                 

------------------------------------------------------------------------------

61   2    012                   12250-12200*s  -122   0.9836  |100-6100(1-s)|

                  6050-6100*s                                                

------------------------------------------------------------------------------

62   1    012                    6250-6200*s    -62   0.9677  |100-3100(1-s)|

                  3050-3100*s                                                

------------------------------------------------------------------------------

63   2    111     6350-6300*s   12650-12600*s                                

                  6250-6300*s   12550-12600*s                                

------------------------------------------------------------------------------

64   1    210     3250-3200*s                    64   1.0313  |100+3200(1-s)|

                                 6350-6400*s                                 

------------------------------------------------------------------------------

65   2    210     6550-6500*s                   130   1.0154  |100+6500(1-s)|

                                12950-13000*s                                

------------------------------------------------------------------------------

66   1    111     3350-3300*s    6650-6600*s                                 

                  3250-3300*s    6550-6600*s                                 

------------------------------------------------------------------------------

67   2    012                   13450-13400*s  -134   0.9851  |100-6700(1-s)|

                  6650-6700*s                                                

------------------------------------------------------------------------------

68   1    012                    6850-6800*s    -68   0.9706  |100-3400(1-s)|

                  3350-3400*s                                                

------------------------------------------------------------------------------

69   2    111     6950-6900*s   13850-13800*s                                

                  6850-6900*s   13750-13800*s                                

------------------------------------------------------------------------------

70   1    210     3550-3500*s                    70   1.0286  |100+3500(1-s)|

                                 6950-7000*s                                 

------------------------------------------------------------------------------

71   2    210     7150-7100*s                   142   1.0141  |100+7100(1-s)|

                                14150-14200*s                                 

------------------------------------------------------------------------------

72   1    111     3650-3600*s    7250-7200*s                                 

                  3550-3600*s    7150-7200*s                                  

------------------------------------------------------------------------------

73   2    012                   14650-14600*s  -146   0.9863  |100-7300(1-s)|

                  7250-7300*s                                                

------------------------------------------------------------------------------

74   1    012                    7450-7400*s    -74   0.9730  |100-3700(1-s)|

                  3650-3700*s                                                

------------------------------------------------------------------------------

75   2    111     7550-7500*s   15050-15000*s                                

                  7450-7500*s   14950-15000*s                                

------------------------------------------------------------------------------

76   1    210     3850-3800*s                    76   1.0263  |100+3800(1-s)|

                                 7550-7600*s                                 

------------------------------------------------------------------------------

77   2    210     7750-7700*s                   154   1.0130  |100+7700(1-s)|

                                15350-15400*s                                

------------------------------------------------------------------------------

78   1    111     3950-3900*s    7850-7800*s                                 

                  3850-3900*s    7750-7800*s                                 

------------------------------------------------------------------------------

79   2    012                   15850-15800*s  -158   0.9873  |100-7900(1-s)|

                  7850-7900*s                                                

------------------------------------------------------------------------------

80   1    012                    8050-8000*s    -80   0.9750  |100-4000(1-s)|

                  3950-4000*s                                                

------------------------------------------------------------------------------

 

 

 

==============================================================================

PolePairs=2, SupplyFreq=50, s==Slip             synchronousTorque_betB

______________________________________________________________________________

NR hMin Category fSlot_1st_pair fSlot_2nd_pair  betB  s_synB     fB[Hz]

______________________________________________________________________________

15   4    111     1550-1500*s    3050-3000*s                                 

                  1450-1500*s    2950-3000*s                                 

------------------------------------------------------------------------------

16   1    012                     850-800*s     -16   0.7500  |100-400(1-s)| 

                   350-400*s                                                 

------------------------------------------------------------------------------

17   4    210     1750-1700*s                    68   1.0588  |100+1700(1-s)|

                                 3350-3400*s                                 

------------------------------------------------------------------------------

18   2    111      950-900*s     1850-1800*s                                 

                   850-900*s     1750-1800*s                                 

------------------------------------------------------------------------------

19   4    012                    3850-3800*s    -76   0.9474  |100-1900(1-s)|

                  1850-1900*s                                                

------------------------------------------------------------------------------

20   1    210      550-500*s                     20   1.2000  |100+500(1-s)| 

                                  950-1000*s                                 

------------------------------------------------------------------------------

21   4    111     2150-2100*s    4250-4200*s                                  

                  2050-2100*s    4150-4200*s                                 

------------------------------------------------------------------------------

22   2    210     1150-1100*s                    44   1.0909  |100+1100(1-s)|

                                 2150-2200*s                                 

------------------------------------------------------------------------------

23   4    210     2350-2300*s                    92   1.0435  |100+2300(1-s)|

                                 4550-4600*s                                 

------------------------------------------------------------------------------

24   1    111      650-600*s     1250-1200*s                                 

                   550-600*s     1150-1200*s                                 

------------------------------------------------------------------------------

25   4    012                    5050-5000*s   -100   0.9600  |100-2500(1-s)|

                  2450-2500*s                                                 

------------------------------------------------------------------------------

26   2    012                    2650-2600*s    -52   0.9231  |100-1300(1-s)|

                  1250-1300*s                                                 

------------------------------------------------------------------------------

27   4    111     2750-2700*s    5450-5400*s                                 

                  2650-2700*s    5350-5400*s                                 

------------------------------------------------------------------------------

28   1    012                    1450-1400*s    -28   0.8571  |100-700(1-s)| 

                   650-700*s                                                 

------------------------------------------------------------------------------

29   4    210     2950-2900*s                   116   1.0345  |100+2900(1-s)|

                                 5750-5800*s                                 

------------------------------------------------------------------------------

30   2    111     1550-1500*s    3050-3000*s                                 

                  1450-1500*s    2950-3000*s                                 

------------------------------------------------------------------------------

31   4    012                    6250-6200*s   -124   0.9677  |100-3100(1-s)|

                  3050-3100*s                                                

------------------------------------------------------------------------------

32   1    210      850-800*s                     32   1.1250  |100+800(1-s)| 

                                 1550-1600*s                                 

------------------------------------------------------------------------------

33   4    111     3350-3300*s    6650-6600*s                                 

                  3250-3300*s    6550-6600*s                                 

------------------------------------------------------------------------------

34   2    210     1750-1700*s                    68   1.0588  |100+1700(1-s)|

                                 3350-3400*s                                 

------------------------------------------------------------------------------

35   4    210     3550-3500*s                   140   1.0286  |100+3500(1-s)|

                                 6950-7000*s                                 

------------------------------------------------------------------------------

36   1    111      950-900*s     1850-1800*s                                  

                   850-900*s     1750-1800*s                                 

------------------------------------------------------------------------------

37   4    012                    7450-7400*s   -148   0.9730  |100-3700(1-s)|

                  3650-3700*s                                                

------------------------------------------------------------------------------

38   2    012                    3850-3800*s    -76   0.9474  |100-1900(1-s)|

                  1850-1900*s                                                 

------------------------------------------------------------------------------

39   4    111     3950-3900*s    7850-7800*s                                 

                  3850-3900*s    7750-7800*s                                  

------------------------------------------------------------------------------

40   1    012                    2050-2000*s    -40   0.9000  |100-1000(1-s)|

                   950-1000*s                                                 

------------------------------------------------------------------------------

41   4    210     4150-4100*s                   164   1.0244  |100+4100(1-s)|

                                 8150-8200*s                                 

------------------------------------------------------------------------------

42   2    111     2150-2100*s    4250-4200*s                                 

                  2050-2100*s    4150-4200*s                                 

------------------------------------------------------------------------------

43   4    012                    8650-8600*s   -172   0.9767  |100-4300(1-s)|

                  4250-4300*s                                                

------------------------------------------------------------------------------

44   1    210     1150-1100*s                    44   1.0909  |100+1100(1-s)|

                                 2150-2200*s                                 

------------------------------------------------------------------------------

45   4    111     4550-4500*s    9050-9000*s                                 

                  4450-4500*s    8950-9000*s                                 

------------------------------------------------------------------------------

46   2    210     2350-2300*s                    92   1.0435  |100+2300(1-s)|

                                 4550-4600*s                                 

------------------------------------------------------------------------------

47   4    210     4750-4700*s                   188   1.0213  |100+4700(1-s)|

                                 9350-9400*s                                 

------------------------------------------------------------------------------

48   1    111     1250-1200*s    2450-2400*s                                  

                  1150-1200*s    2350-2400*s                                 

------------------------------------------------------------------------------

49   4    012                    9850-9800*s   -196   0.9796  |100-4900(1-s)|

                  4850-4900*s                                                

------------------------------------------------------------------------------

50   2    012                    5050-5000*s   -100   0.9600  |100-2500(1-s)|

                  2450-2500*s                                                

------------------------------------------------------------------------------

51   4    111     5150-5100*s   10250-10200*s                                

                  5050-5100*s   10150-10200*s                                

------------------------------------------------------------------------------

52   1    012                    2650-2600*s    -52   0.9231  |100-1300(1-s)|

                  1250-1300*s                                                 

------------------------------------------------------------------------------

53   4    210     5350-5300*s                   212   1.0189  |100+5300(1-s)|

                                10550-10600*s                                 

------------------------------------------------------------------------------

54   2    111     2750-2700*s    5450-5400*s                                 

                  2650-2700*s    5350-5400*s                                 

------------------------------------------------------------------------------

55   4    012                   11050-11000*s  -220   0.9818  |100-5500(1-s)|

                  5450-5500*s                                                

------------------------------------------------------------------------------

56   1    210     1450-1400*s                    56   1.0714  |100+1400(1-s)|

                                 2750-2800*s                                 

------------------------------------------------------------------------------

57   4    111     5750-5700*s   11450-11400*s                                

                  5650-5700*s   11350-11400*s                                

------------------------------------------------------------------------------

58   2    210     2950-2900*s                   116   1.0345  |100+2900(1-s)|

                                 5750-5800*s                                 

------------------------------------------------------------------------------

59   4    210     5950-5900*s                   236   1.0169  |100+5900(1-s)|

                                11750-11800*s                                

------------------------------------------------------------------------------

60   1    111     1550-1500*s    3050-3000*s                                 

                  1450-1500*s    2950-3000*s                                 

------------------------------------------------------------------------------

61   4    012