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                                                        its excitation voltage, the magnitude of  which depends
                                                        upon the p.f. of the system, will appear across the motor
                                                        terminals or any other appliances connected on the same
                                                        circuit. The motor, after disconnection from supply, will
                                                        receive the self-excitation voltage from the capacitor and
                       V, > ES (1.R ignored)            while  running  may  act  as  a  generator,  giving  rise  to
                                                        voltages at the motor terminals considerably higher than
             (a)  Receiving end voltage rises with leading p.f.'s
                                                        the system voltage itself. The solution to this problem is
                                                        to select a capacitor with its capacitive current slightly
                                                        less than the magnetizing current, I,,,,  of the motor, say,
                                                        90% of it. See also Figure  1.15.
                                                          At voltages lower than rated, the no-load current, In,,
                                                        and the magnetizing current, Z,,  of the motor is low and
                                                        rises with the voltage. At loads lower than rated, although
                                                        the p.f. will diminish sharply as discussed in Section 1.8,
                                                        the reactive component I,  and the no-load  current Ink,
                      I   V, < E, (/.R ignored)
                                                        i.e. component OA of Figure 1.16, will remain the same.
              (b)  Receiving end voltage diminishes with lagging p.f.'s   If these facts are not borne in mind when selecting the
                                                        capacitor rating, particularly when the p.f. of the motor
                                                        is assumed to be lower than the rated p.f. at full load,
          Figure 23.30                                  then at certain loads and voltages it is possible that the



          Table 23.7  Recommended capacitor  ratings for direct switching with induction motors, to improve power factor to 0.95 or better at
          -
          all loads
          Motor   Capacitor rating  in kVAr ut a motor rp.m   Motor   Capacitor ruting  in KVAr at a motor r.p.m.
          H. p:                                         H. p:
                 3000   1500   1000   750   600   500          3000   1500   1000   750   600   500
                 rp.m.   %p.m.   rp.m.   rp.m.   rp.m.   rp.m   rp.m.   rp.m.   rp.m.   rp.m.   rp.m.   rp.m
                                                        __-~
            2.5   1     I      1.5   2     2.5   2.5     105   22     24    27     29    36    41
            5    2      2     2.5    3.5   4     4       110   23     25    28     30    38    43
            7.5   2.5   3     3.5    4.5   5     5.5     115   24     26    29     31    39    44
           10    3      4     4.5    5.5   6     6.5     120   25     27    30     32    40    46
           12.5   3.5   4.5   5      6.5   7.5   8       125   26     28    31     33    41    47
           15    4      5     6      7.5   8.5   9       130   27     29    32     34    43    49
           17.5   4.5   5.5   6.5    8     10    10.5    135   28     30    33     35    44    50
           20    5      6     7      9     I1    12      140   29     31    34     36    46    52
           22.5   5.5   6.5   8      10    12    13      145   30     32    35     37    47    54
           25    6      I     9      10.5   13   14.5    1 50   31    33    36     38    48    55
                              __
           27.5   6.5   7.5   9.5    11.5   14   16      155   32     34    37     39    49    56
           30    7      8      10    12    15    17      160   33     35    38     40    50    57
           32.5   7.5   8.5    I1    13    16    18      165   34     36    39     41    51    59
           35    8      9      11.5   13.5   17   19     170   35     37    40     42    53    60
           37.5   8.5   9.5    12    14    18    20      175   36     38    41     43    54    61
           40    9      10     13    15    19    21      180   37     39    42     44    55    62
           42.5   9.5   11     14    16    20    22      185   38     40    43     45    56    63
           45     10    11.5   14.5   16.5   21   23     190   38     40    43     45    58    65
           47.5   10.5   12    15    17    22    24      195   39     41    44     46    59    66
           50     11    12.5   16    18    23    25      200   40     42    45     47    60    61
           55     12    13.5   17    19    24    26      205   41     43    46     48    61    68
           60     13    14.5   18    20    26    28      210   42     44    47     49    61    69
           65     14    15.5   19    21    27    29      215   42     44    47     49    62    70
           70     15    16.5   20    22    28    31      220   43     45    48     50    63    71
           75     16    17     21    23    29    32      225   44     46    49     51    64    72
           80     17    19     22    24    30    34      230   45     47    50     52    65    73
           85     18    20     23    25    31    35      235   46     48    51     53    65    74
           90     19    21     24    26    33    37      240   46     48    51     53    66    75
           95    20     22     25    27    34    38      245   41     49    52     54    67    75
           100   21     23     26    28    35    40      250   48     50    53     55    68    76
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