B B A A A A B B B B B A A A B B B B B SIX TABLES (produced by Category

 

Jan Rusek, AGH University of Technology, Krakow, Poland

Email                gerusek@cyf-kr.edu.pl

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

update 2002-02-28

_____Category2_____

 

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

 

Six TABLES (produced by  Category2.exe, for  polePairs p= 1…6 (for supply frequency of 50 Hz) of:

1. Number NR of rotor slots,

2. Parameter  hMin  (or h in (2.33)[1]),

3. Category of the machine (or the class, as in [1], page 27),

4. Frequencies (depending on slip s) of slot harmonics in supply currents:  fSlot1st Pair [ Hz],

5. Frequencies (depending on slip s) of slot harmonics in supply currents:  fSlot2nd Pair [ Hz],

6. Derivative Df/Drpm of the frequency of the 1st–pair slot harmonics with respect to Rotations Per Minute,

7. Order of parasitic synchronous Torque of type "B" (betB, as in (2.54) of [1]),

8. Slip by which the above Torque component falls into synchronism (s_synB),

9. Frequency fB of the Torque component betB, in Hz.

 

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

(“Computer analysis of the induction machine utilizing harmonic balance”, in Polish),

AGH, Uczelniane Wydawnictwa Naukowo-Dydaktyczne, Krakow 2000.

 

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

PolePairs=1, SupplyFreq=50

s==Slip, Df/Drpm==Deriv(fSlot1stPair over rot.per.min)

                                                    synchronousTorque_betB

__________________________________________________________________________________

NR hMin Category fSlot1stPair fSlot2ndPair Df/Drpm  betB   s_synB     fB[Hz]

__________________________________________________________________________________

10   1    210     550-500*s                  0.17     10   1.2000  |100+500(1-s)|

                               950-1000*s                                        

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

11   2    210    1150-1100*s                 0.37     22   1.0909  |100+1100(1-s)|

                              2150-2200*s                                        

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

12   1    111     650-600*s   1250-1200*s    0.20                                

                  550-600*s   1150-1200*s                                        

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

13   2    012                 2650-2600*s    0.43    -26   0.9231  |100-1300(1-s)|

                 1250-1300*s                                                     

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

14   1    012                 1450-1400*s    0.23    -14   0.8571  |100-700(1-s)|

                  650-700*s                                                      

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

15   2    111    1550-1500*s  3050-3000*s    0.50                                

                 1450-1500*s  2950-3000*s                                        

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

16   1    210     850-800*s                  0.27     16   1.1250  |100+800(1-s)|

                              1550-1600*s                                        

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

17   2    210    1750-1700*s                 0.57     34   1.0588  |100+1700(1-s)|

                              3350-3400*s                                        

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

18   1    111     950-900*s   1850-1800*s    0.30                                

                  850-900*s   1750-1800*s                                        

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

19   2    012                 3850-3800*s    0.63    -38   0.9474  |100-1900(1-s)|

                 1850-1900*s                                                     

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

20   1    012                 2050-2000*s    0.33    -20   0.9000  |100-1000(1-s)|

                  950-1000*s                                                     

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

21   2    111    2150-2100*s  4250-4200*s    0.70                                

                 2050-2100*s  4150-4200*s                                        

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

22   1    210    1150-1100*s                 0.37     22   1.0909  |100+1100(1-s)|

                              2150-2200*s                                        

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

23   2    210    2350-2300*s                 0.77     46   1.0435  |100+2300(1-s)|

                              4550-4600*s                                        

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

24   1    111    1250-1200*s  2450-2400*s    0.40                                 

                 1150-1200*s  2350-2400*s                                        

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

25   2    012                 5050-5000*s    0.83    -50   0.9600  |100-2500(1-s)|

                 2450-2500*s                                                     

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

26   1    012                 2650-2600*s    0.43    -26   0.9231  |100-1300(1-s)|

                 1250-1300*s                                                     

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

27   2    111    2750-2700*s  5450-5400*s    0.90                                

                 2650-2700*s  5350-5400*s                                        

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

28   1    210    1450-1400*s                 0.47     28   1.0714  |100+1400(1-s)|

                              2750-2800*s                                        

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

29   2    210    2950-2900*s                 0.97     58   1.0345  |100+2900(1-s)|

                              5750-5800*s                                        

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

30   1    111    1550-1500*s  3050-3000*s    0.50                                

                 1450-1500*s  2950-3000*s                                        

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

31   2    012                 6250-6200*s    1.03    -62   0.9677  |100-3100(1-s)|

                 3050-3100*s                                                      

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

32   1    012                 3250-3200*s    0.53    -32   0.9375  |100-1600(1-s)|

                 1550-1600*s                                                      

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

33   2    111    3350-3300*s  6650-6600*s    1.10                                

                 3250-3300*s  6550-6600*s                                         

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

34   1    210    1750-1700*s                 0.57     34   1.0588  |100+1700(1-s)|

                              3350-3400*s                                         

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

35   2    210    3550-3500*s                 1.17     70   1.0286  |100+3500(1-s)|

                              6950-7000*s                                         

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

36   1    111    1850-1800*s  3650-3600*s    0.60                                

                 1750-1800*s  3550-3600*s                                         

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

37   2    012                 7450-7400*s    1.23    -74   0.9730  |100-3700(1-s)|

                 3650-3700*s                                                      

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

38   1    012                 3850-3800*s    0.63    -38   0.9474  |100-1900(1-s)|

                 1850-1900*s                                                      

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

39   2    111    3950-3900*s  7850-7800*s    1.30                                

                 3850-3900*s  7750-7800*s                                        

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

40   1    210    2050-2000*s                 0.67     40   1.0500  |100+2000(1-s)|

                              3950-4000*s                                        

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

41   2    210    4150-4100*s                 1.37     82   1.0244  |100+4100(1-s)|

                              8150-8200*s                                        

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

42   1    111    2150-2100*s  4250-4200*s    0.70                                

                 2050-2100*s  4150-4200*s                                        

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

43   2    012                 8650-8600*s    1.43    -86   0.9767  |100-4300(1-s)|

                 4250-4300*s                                                     

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

44   1    012                 4450-4400*s    0.73    -44   0.9545  |100-2200(1-s)|

                 2150-2200*s                                                     

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

45   2    111    4550-4500*s  9050-9000*s    1.50                                

                 4450-4500*s  8950-9000*s                                        

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

46   1    210    2350-2300*s                 0.77     46   1.0435  |100+2300(1-s)|

                              4550-4600*s                                        

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

47   2    210    4750-4700*s                 1.57     94   1.0213  |100+4700(1-s)|

                              9350-9400*s                                        

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

48   1    111    2450-2400*s  4850-4800*s    0.80                                

                 2350-2400*s  4750-4800*s                                        

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

49   2    012                 9850-9800*s    1.63    -98   0.9796  |100-4900(1-s)|

                 4850-4900*s                                                     

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

50   1    012                 5050-5000*s    0.83    -50   0.9600  |100-2500(1-s)|

                 2450-2500*s                                                     

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

51   2    111    5150-5100*s 10250-10200*s   1.70                                

                 5050-5100*s 10150-10200*s                                       

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

52   1    210    2650-2600*s                 0.87     52   1.0385  |100+2600(1-s)|

                              5150-5200*s                                        

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

53   2    210    5350-5300*s                 1.77    106   1.0189  |100+5300(1-s)|

                             10550-10600*s                                       

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

54   1    111    2750-2700*s  5450-5400*s    0.90                                

                 2650-2700*s  5350-5400*s                                        

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

55   2    012                11050-11000*s   1.83   -110   0.9818  |100-5500(1-s)|

                 5450-5500*s                                                     

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

56   1    012                 5650-5600*s    0.93    -56   0.9643  |100-2800(1-s)|

                 2750-2800*s                                                     

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

57   2    111    5750-5700*s 11450-11400*s   1.90                                

                 5650-5700*s 11350-11400*s                                       

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

58   1    210    2950-2900*s                 0.97     58   1.0345  |100+2900(1-s)|

                              5750-5800*s                                        

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

59   2    210    5950-5900*s                 1.97    118   1.0169  |100+5900(1-s)|

                             11750-11800*s                                       

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

60   1    111    3050-3000*s  6050-6000*s    1.00                                 

                 2950-3000*s  5950-6000*s                                        

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

61   2    012                12250-12200*s   2.03   -122   0.9836  |100-6100(1-s)|

                 6050-6100*s                                                     

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

62   1    012                 6250-6200*s    1.03    -62   0.9677  |100-3100(1-s)|

                 3050-3100*s                                                     

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

63   2    111    6350-6300*s 12650-12600*s   2.10                                

                 6250-6300*s 12550-12600*s                                       

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

64   1    210    3250-3200*s                 1.07     64   1.0313  |100+3200(1-s)|

                              6350-6400*s                                        

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

65   2    210    6550-6500*s                 2.17    130   1.0154  |100+6500(1-s)|

                             12950-13000*s                                       

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

66   1    111    3350-3300*s  6650-6600*s    1.10                                

                 3250-3300*s  6550-6600*s                                        

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

67   2    012                13450-13400*s   2.23   -134   0.9851  |100-6700(1-s)|

                 6650-6700*s                                                     

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

68   1    012                 6850-6800*s    1.13    -68   0.9706  |100-3400(1-s)|

                 3350-3400*s                                                      

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

69   2    111    6950-6900*s 13850-13800*s   2.30                                

                 6850-6900*s 13750-13800*s                                       

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

70   1    210    3550-3500*s                 1.17     70   1.0286  |100+3500(1-s)|

                              6950-7000*s                                         

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

71   2    210    7150-7100*s                 2.37    142   1.0141  |100+7100(1-s)|

                             14150-14200*s                                        

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

72   1    111    3650-3600*s  7250-7200*s    1.20                                

                 3550-3600*s  7150-7200*s                                         

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

73   2    012                14650-14600*s   2.43   -146   0.9863  |100-7300(1-s)|

                 7250-7300*s                                                      

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

74   1    012                 7450-7400*s    1.23    -74   0.9730  |100-3700(1-s)|

                 3650-3700*s                                                      

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

75   2    111    7550-7500*s 15050-15000*s   2.50                                

                 7450-7500*s 14950-15000*s                                       

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

76   1    210    3850-3800*s                 1.27     76   1.0263  |100+3800(1-s)|

                              7550-7600*s                                        

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

77   2    210    7750-7700*s                 2.57    154   1.0130  |100+7700(1-s)|

                             15350-15400*s                                       

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

78   1    111    3950-3900*s  7850-7800*s    1.30                                

                 3850-3900*s  7750-7800*s                                        

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

79   2    012                15850-15800*s   2.63   -158   0.9873  |100-7900(1-s)|

                 7850-7900*s                                                     

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

80   1    012                 8050-8000*s    1.33    -80   0.9750  |100-4000(1-s)|

                 3950-4000*s                                                     

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

 

 

 

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

PolePairs=2, SupplyFreq=50

s==Slip, Df/Drpm==Deriv(fSlot1stPair over rot.per.min)

                                                    synchronousTorque_betB

__________________________________________________________________________________

NR hMin Category fSlot1stPair fSlot2ndPair Df/Drpm  betB   s_synB     fB[Hz]

__________________________________________________________________________________

15   4    111    1550-1500*s  3050-3000*s    1.00                                

                 1450-1500*s  2950-3000*s                                        

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

16   1    012                  850-800*s     0.27    -16   0.7500  |100-400(1-s)|

                  350-400*s                                                      

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

17   4    210    1750-1700*s                 1.13     68   1.0588  |100+1700(1-s)|

                              3350-3400*s                                        

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

18   2    111     950-900*s   1850-1800*s    0.60                                

                  850-900*s   1750-1800*s                                        

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

19   4    012                 3850-3800*s    1.27    -76   0.9474  |100-1900(1-s)|

                 1850-1900*s                                                     

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

20   1    210     550-500*s                  0.33     20   1.2000  |100+500(1-s)|

                               950-1000*s                                        

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

21   4    111    2150-2100*s  4250-4200*s    1.40                                

                 2050-2100*s  4150-4200*s                                        

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

22   2    210    1150-1100*s                 0.73     44   1.0909  |100+1100(1-s)|

                              2150-2200*s                                        

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

23   4    210    2350-2300*s                 1.53     92   1.0435  |100+2300(1-s)|

                              4550-4600*s                                        

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

24   1    111     650-600*s   1250-1200*s    0.40                                

                  550-600*s   1150-1200*s                                        

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

25   4    012                 5050-5000*s    1.67   -100   0.9600  |100-2500(1-s)|

                 2450-2500*s                                                     

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

26   2    012                 2650-2600*s    0.87    -52   0.9231  |100-1300(1-s)|

                 1250-1300*s                                                     

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

27   4    111    2750-2700*s  5450-5400*s    1.80                                 

                 2650-2700*s  5350-5400*s                                        

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

28   1    012                 1450-1400*s    0.47    -28   0.8571  |100-700(1-s)|

                  650-700*s                                                      

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

29   4    210    2950-2900*s                 1.93    116   1.0345  |100+2900(1-s)|

                              5750-5800*s                                        

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

30   2    111    1550-1500*s  3050-3000*s    1.00                                

                 1450-1500*s  2950-3000*s                                        

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

31   4    012                 6250-6200*s    2.07   -124   0.9677  |100-3100(1-s)|

                 3050-3100*s                                                     

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

32   1    210     850-800*s                  0.53     32   1.1250  |100+800(1-s)|

                              1550-1600*s                                        

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

33   4    111    3350-3300*s  6650-6600*s    2.20                                

                 3250-3300*s  6550-6600*s                                        

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

34   2    210    1750-1700*s                 1.13     68   1.0588  |100+1700(1-s)|

                              3350-3400*s                                        

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

35   4    210    3550-3500*s                 2.33    140   1.0286  |100+3500(1-s)|

                              6950-7000*s                                        

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

36   1    111     950-900*s   1850-1800*s    0.60                                

                  850-900*s   1750-1800*s                                         

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

37   4    012                 7450-7400*s    2.47   -148   0.9730  |100-3700(1-s)|

                 3650-3700*s                                                      

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

38   2    012                 3850-3800*s    1.27    -76   0.9474  |100-1900(1-s)|

                 1850-1900*s                                                      

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

39   4    111    3950-3900*s  7850-7800*s    2.60                                

                 3850-3900*s  7750-7800*s                                         

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

40   1    012                 2050-2000*s    0.67    -40   0.9000  |100-1000(1-s)|