"Capacitor Power Conversion Chart - Alpes Technologies"

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How to calculate the power of capacitors
(continued)
CaPaCiTOr POwEr CalCulaTiON TaBlE
Conversion table
Based on the power of a receiver in kW, this table can be used to calculate the power of the capacitors to change
from an initial power factor to a required power factor. It also gives the equivalence between cos ø and tg ø .
Final power factor
Capacitor power in kVAr to be installed per kW of load to increase the power factor to:
cos ø
0.90
0.91
0.92
0.93
0.94
0.95
0.96
0.97
0.98
0.99
1
tg ø
0.48
0.46
0.43
0.40
0.36
0.33
0.29
0.25
0.20
0.14
0.0
0.40
2.29
1.805
1.832
1.861
1.895
1.924
1.959
1.998
2.037
2.085
2.146
2.288
0.41
2.22
1.742
1.769
1.798
1.831
1.840
1.896
1.935
1.973
2.021
2.082
2.225
0.42
2.16
1.681
1.709
1.738
1.771
1.800
1.836
1.874
1.913
1.961
2.002
2.164
0.43
2.10
1.624
1.651
1.680
1.713
1.742
1.778
1.816
1.855
1.903
1.964
2.107
0.44
2.04
1.558
1.585
1.614
1.647
1.677
1.712
1.751
1.790
1.837
1.899
2.041
0.45
1.98
1.501
1.532
1.561
1.592
1.626
1.659
1.695
1.737
1.784
1.846
1.988
0.46
1.93
1.446
1.473
1.502
1.533
1.567
1.600
1.636
1.677
1.725
1.786
1.929
0.47
1.88
1.397
1.425
1.454
1.485
1.519
1.532
1.588
1.629
1.677
1.758
1.881
0.48
1.83
1.343
1.730
1.400
1.430
1.464
1.467
1.534
1.575
1.623
1.684
1.826
0.49
1.78
1.297
1.326
1.355
1.386
1.420
1.453
1.489
1.530
1.578
1.639
1.782
0.50
1.73
1.248
1.276
1.303
1.337
1.369
1.403
1.441
1.481
1.529
1.590
1.732
0.51
1.69
1.202
1.230
1.257
1.291
1.323
1.357
1.395
1.435
1.483
1.544
1.686
0.52
1.64
1.160
1.188
1.215
1.249
1.281
1.315
1.353
1.393
1.441
1.502
1.644
0.53
1.60
1.116
1.144
1.171
1.205
1.237
1.271
1.309
1.349
1.397
1.458
1.600
0.54
1.56
1.075
1.103
1.130
1.164
1.196
1.230
1.268
1.308
1.356
1.417
1.559
0.55
1.52
1.035
1.063
1.090
1.124
1.156
1.190
1.228
1.268
1.316
1.377
1.519
0.56
1.48
0.996
1.024
1.051
1.085
1.117
1.151
1.189
1.229
1.277
1.338
1.480
0.57
1.44
0.958
0.986
1.013
1.047
1.079
1.113
1.151
1.191
1.239
1.300
1.442
0.58
1.40
0.921
0.949
0.976
1.010
1.042
1.073
1.114
1.154
1.202
1.263
1.405
0.59
1.37
0.884
0.912
0.939
0.973
1.005
1.039
1.077
1.117
1.165
1.226
1.368
0.60
1.33
0.849
0.878
0.905
0.939
0.971
1.005
1.043
1.083
1.131
1.192
1.334
0.61
1.30
0.815
0.843
0.870
0.904
0.936
0.970
1.008
1.048
1.096
1.157
1.299
0.62
1.27
0.781
0.809
0.836
0.870
0.902
0.936
0.974
1.014
1.062
1.123
1.265
0.63
1.23
0.749
0.777
0.804
0.838
0.870
0.904
0.942
0.982
1.030
1.091
1.233
0.64
1.20
0.716
0.744
0.771
0.805
0.837
0.871
0.909
0.949
0.997
1.058
1.200
0.65
1.17
0.685
0.713
0.740
0.774
0.806
0.840
0.878
0.918
0.966
1.007
1.169
0.66
1.14
0.654
0.682
0.709
0.743
0.775
0.809
0.847
0.887
0.935
0.996
1.138
0.67
1.11
0.624
0.652
0.679
0.713
0.745
0.779
0.817
0.857
0.905
0.966
1.108
0.68
1.08
0.595
0.623
0.650
0.684
0.716
0.750
0.788
0.828
0.876
0.937
1.079
0.69
1.05
0.565
0.593
0.620
0.654
0.686
0.720
0.758
0.798
0.840
0.907
1.049
0.70
1.02
0.536
0.564
0.591
0.625
0.657
0.691
0.729
0.796
0.811
0.878
1.020
0.71
0.99
0.508
0.536
0.563
0.597
0.629
0.663
0.701
0.741
0.783
0.850
0.992
0.72
0.96
0.479
0.507
0.534
0.568
0.600
0.634
0.672
0.721
0.754
0.821
0.963
0.73
0.94
0.452
0.480
0.507
0.541
0.573
0.607
0.645
0.685
0.727
0.794
0.936
0.74
0.91
0.425
0.453
0.480
0.514
0.546
0.580
0.618
0.658
0.700
0.767
0.909
0.75
0.88
0.398
0.426
0.453
0.487
0.519
0.553
0.591
0.631
0.673
0.740
0.882
0.76
0.86
0.371
0.399
0.426
0.460
0.492
0.526
0.564
0.604
0.652
0.713
0.855
0.77
0.83
0.345
0.373
0.400
0.434
0.466
0.500
0.538
0.578
0.620
0.687
0.829
0.78
0.80
0.319
0.347
0.374
0.408
0.440
0.474
0.512
0.552
0.594
0.661
0.803
0.79
0.78
0.292
0.320
0.347
0.381
0.413
0.447
0.485
0.525
0.567
0.634
0.776
0.80
0.75
0.266
0.294
0.321
0.355
0.387
0.421
0.459
0.499
0.541
0.608
0.750
0.81
0.72
0.240
0.268
0.295
0.329
0.361
0.395
0.433
0.473
0.515
0.582
0.724
0.82
0.70
0.214
0.242
0.269
0.303
0.335
0.369
0.407
0.447
0.489
0.556
0.698
0.83
0.67
0.188
0.216
0.243
0.277
0.309
0.343
0.381
0.421
0.463
0.530
0.672
0.84
0.65
0.162
0.190
0.217
0.251
0.283
0.317
0.355
0.395
0.437
0.504
0.645
0.85
0.62
0.136
0.164
0.191
0.225
0.257
0.291
0.329
0.369
0.417
0.478
0.602
0.86
0.59
0.109
0.140
0.167
0.198
0.230
0.264
0.301
0.343
0.390
0.450
0.593
0.87
0.57
0.083
0.114
0.141
0.172
0.204
0.238
0.275
0.317
0.364
0.424
0.567
0.88
0.54
0.054
0.085
0.112
0.143
0.175
0.209
0.246
0.288
0.335
0.395
0.538
0.89
0.51
0.028
0.059
0.086
0.117
0.149
0.183
0.230
0.262
0.309
0.369
0.512
0.90
0.48
0.031
0.058
0.089
0.121
0.155
0.192
0.234
0.281
0.341
0.484
Example: 200 kW motor - cos ø = 0.75 - required cos ø = 0.93 - Qc = 200 x 0.487 = 98 kVAr
12
How to calculate the power of capacitors
(continued)
CaPaCiTOr POwEr CalCulaTiON TaBlE
Conversion table
Based on the power of a receiver in kW, this table can be used to calculate the power of the capacitors to change
from an initial power factor to a required power factor. It also gives the equivalence between cos ø and tg ø .
Final power factor
Capacitor power in kVAr to be installed per kW of load to increase the power factor to:
cos ø
0.90
0.91
0.92
0.93
0.94
0.95
0.96
0.97
0.98
0.99
1
tg ø
0.48
0.46
0.43
0.40
0.36
0.33
0.29
0.25
0.20
0.14
0.0
0.40
2.29
1.805
1.832
1.861
1.895
1.924
1.959
1.998
2.037
2.085
2.146
2.288
0.41
2.22
1.742
1.769
1.798
1.831
1.840
1.896
1.935
1.973
2.021
2.082
2.225
0.42
2.16
1.681
1.709
1.738
1.771
1.800
1.836
1.874
1.913
1.961
2.002
2.164
0.43
2.10
1.624
1.651
1.680
1.713
1.742
1.778
1.816
1.855
1.903
1.964
2.107
0.44
2.04
1.558
1.585
1.614
1.647
1.677
1.712
1.751
1.790
1.837
1.899
2.041
0.45
1.98
1.501
1.532
1.561
1.592
1.626
1.659
1.695
1.737
1.784
1.846
1.988
0.46
1.93
1.446
1.473
1.502
1.533
1.567
1.600
1.636
1.677
1.725
1.786
1.929
0.47
1.88
1.397
1.425
1.454
1.485
1.519
1.532
1.588
1.629
1.677
1.758
1.881
0.48
1.83
1.343
1.730
1.400
1.430
1.464
1.467
1.534
1.575
1.623
1.684
1.826
0.49
1.78
1.297
1.326
1.355
1.386
1.420
1.453
1.489
1.530
1.578
1.639
1.782
0.50
1.73
1.248
1.276
1.303
1.337
1.369
1.403
1.441
1.481
1.529
1.590
1.732
0.51
1.69
1.202
1.230
1.257
1.291
1.323
1.357
1.395
1.435
1.483
1.544
1.686
0.52
1.64
1.160
1.188
1.215
1.249
1.281
1.315
1.353
1.393
1.441
1.502
1.644
0.53
1.60
1.116
1.144
1.171
1.205
1.237
1.271
1.309
1.349
1.397
1.458
1.600
0.54
1.56
1.075
1.103
1.130
1.164
1.196
1.230
1.268
1.308
1.356
1.417
1.559
0.55
1.52
1.035
1.063
1.090
1.124
1.156
1.190
1.228
1.268
1.316
1.377
1.519
0.56
1.48
0.996
1.024
1.051
1.085
1.117
1.151
1.189
1.229
1.277
1.338
1.480
0.57
1.44
0.958
0.986
1.013
1.047
1.079
1.113
1.151
1.191
1.239
1.300
1.442
0.58
1.40
0.921
0.949
0.976
1.010
1.042
1.073
1.114
1.154
1.202
1.263
1.405
0.59
1.37
0.884
0.912
0.939
0.973
1.005
1.039
1.077
1.117
1.165
1.226
1.368
0.60
1.33
0.849
0.878
0.905
0.939
0.971
1.005
1.043
1.083
1.131
1.192
1.334
0.61
1.30
0.815
0.843
0.870
0.904
0.936
0.970
1.008
1.048
1.096
1.157
1.299
0.62
1.27
0.781
0.809
0.836
0.870
0.902
0.936
0.974
1.014
1.062
1.123
1.265
0.63
1.23
0.749
0.777
0.804
0.838
0.870
0.904
0.942
0.982
1.030
1.091
1.233
0.64
1.20
0.716
0.744
0.771
0.805
0.837
0.871
0.909
0.949
0.997
1.058
1.200
0.65
1.17
0.685
0.713
0.740
0.774
0.806
0.840
0.878
0.918
0.966
1.007
1.169
0.66
1.14
0.654
0.682
0.709
0.743
0.775
0.809
0.847
0.887
0.935
0.996
1.138
0.67
1.11
0.624
0.652
0.679
0.713
0.745
0.779
0.817
0.857
0.905
0.966
1.108
0.68
1.08
0.595
0.623
0.650
0.684
0.716
0.750
0.788
0.828
0.876
0.937
1.079
0.69
1.05
0.565
0.593
0.620
0.654
0.686
0.720
0.758
0.798
0.840
0.907
1.049
0.70
1.02
0.536
0.564
0.591
0.625
0.657
0.691
0.729
0.796
0.811
0.878
1.020
0.71
0.99
0.508
0.536
0.563
0.597
0.629
0.663
0.701
0.741
0.783
0.850
0.992
0.72
0.96
0.479
0.507
0.534
0.568
0.600
0.634
0.672
0.721
0.754
0.821
0.963
0.73
0.94
0.452
0.480
0.507
0.541
0.573
0.607
0.645
0.685
0.727
0.794
0.936
0.74
0.91
0.425
0.453
0.480
0.514
0.546
0.580
0.618
0.658
0.700
0.767
0.909
0.75
0.88
0.398
0.426
0.453
0.487
0.519
0.553
0.591
0.631
0.673
0.740
0.882
0.76
0.86
0.371
0.399
0.426
0.460
0.492
0.526
0.564
0.604
0.652
0.713
0.855
0.77
0.83
0.345
0.373
0.400
0.434
0.466
0.500
0.538
0.578
0.620
0.687
0.829
0.78
0.80
0.319
0.347
0.374
0.408
0.440
0.474
0.512
0.552
0.594
0.661
0.803
0.79
0.78
0.292
0.320
0.347
0.381
0.413
0.447
0.485
0.525
0.567
0.634
0.776
0.80
0.75
0.266
0.294
0.321
0.355
0.387
0.421
0.459
0.499
0.541
0.608
0.750
0.81
0.72
0.240
0.268
0.295
0.329
0.361
0.395
0.433
0.473
0.515
0.582
0.724
0.82
0.70
0.214
0.242
0.269
0.303
0.335
0.369
0.407
0.447
0.489
0.556
0.698
0.83
0.67
0.188
0.216
0.243
0.277
0.309
0.343
0.381
0.421
0.463
0.530
0.672
0.84
0.65
0.162
0.190
0.217
0.251
0.283
0.317
0.355
0.395
0.437
0.504
0.645
0.85
0.62
0.136
0.164
0.191
0.225
0.257
0.291
0.329
0.369
0.417
0.478
0.602
0.86
0.59
0.109
0.140
0.167
0.198
0.230
0.264
0.301
0.343
0.390
0.450
0.593
0.87
0.57
0.083
0.114
0.141
0.172
0.204
0.238
0.275
0.317
0.364
0.424
0.567
0.88
0.54
0.054
0.085
0.112
0.143
0.175
0.209
0.246
0.288
0.335
0.395
0.538
0.89
0.51
0.028
0.059
0.086
0.117
0.149
0.183
0.230
0.262
0.309
0.369
0.512
0.90
0.48
0.031
0.058
0.089
0.121
0.155
0.192
0.234
0.281
0.341
0.484
Example: 200 kW motor - cos ø = 0.75 - required cos ø = 0.93 - Qc = 200 x 0.487 = 98 kVAr
12
A Group brand
rEaCTivE COmPENSaTiON Of aSyNCHrONOuS mOTOrS
(COmPENSaTiON aT mOTOr TErmiNalS)
The table below gives, for information purposes
if qc ≤ 90% io 3 u
only, the maximum power of the capacitor that
can be connected directly to the terminals of an
Power supply
asynchronous motor with no risk of self-excitation.
It will be necessary to check in all cases that the
C.1
maximum current of the capacitor does not exceed
90% of the magnetising current (off-load) of the motor.
Qc
M
Maximum power of the
Maximum speed rpm
motor
3000
1500
1000
HP
kW
Max. power in kVAr
11
8
2
2
3
if qc > 90% io 3 u
15
11
3
4
5
20
15
4
5
6
25
18
5
7
7.5
Power supply
30
22
6
8
9
40
30
7.5
10
11
50
37
9
11
12.5
C1
60
45
11
13
14
100
75
17
22
25
150
110
24
29
33
180
132
31
36
38
C2
218
160
35
41
44
M
274
200
43
47
53
Qc
340
250
52
57
63
380
280
57
63
70
Io: motor off-load current
482
355
67
76
86
U: supply voltage
If the capacitor power required to compensate
the motor is greater than the values given in the
above table or if, more generally: Qc > 90% Io 3 U,
compensation at the motor terminals will however
remain possible by inserting a contactor (C.2),
controlled by an auxiliary contact of the motor
contactor (C.1), in series with the capacitor.
13
How to calculate the power of capacitors
(continued)
rEaCTivE COmPENSaTiON Of TraNSfOrmErS
KVAr power to be provided for the internal
When defining a reactive energy compensation
Nominal
consumption of the transformer
installation, it is advisable to provide a fixed
power of the
capacitor corresponding to the internal reactive
Operation
transformer
consumption of the transformer at 75% load.
kVA
off-load
75% load
100% load
100
3
5
6
In order to operate correctly, a transformer requires
160
4
7.5
10
internal reactive energy to magnetise its windings.
200
4
9
12
250
5
11
15
The table opposite gives, for information purposes
315
6
15
20
only, the value of the fixed capacitor bank to be
400
8
20
25
installed according to the powers and loads of the
500
25
10
30
transformer. These values may change, depending on
630
12
30
40
the technology of the device. Each manufacturer can
800
20
40
55
1000
50
25
70
provide their own precise values.
1250
30
70
90
2000
50
100
150
2500
150
60
200
3150
90
200
250
4000
160
250
320
5000
200
300
425
14
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