Detuned reactor calculation
This example will show Calculations of detuned reactor installed series with capacitor banks of 80kVAr
525V and 100 kVAr 525V with factor reactor 7 % in 50Hz.
1. detuned reactor calculation in 80 kVAr 525 V
Capacitance from Capacitor bank 80kVAr / 525V
0.525
0.08
1
1
0.924
2
2
3.445Ω
Resonance frequency equation:
1
2 √
This detuned Reactor has a factor reactor 7 % . it means that when this filter operated
in 50 Hz system value of capacitance is 7% from reactance.
0.07
2
0.07
2
2
0.07
2
2 √
√0.07
50
With this value,we will get resonance frequency when detuned reactor applied in
capacitor bank.
1
2 √
50
√0.07
189
L at resonance frequency is
1
0.911Ω
2
0.911Ω
2
0.768
Xl and Xc when this filter applied in 50 Hz system are,
1
3.445Ω
2
2
0.241Ω
Reactive power output when detuned reactor applied with capacitor bank in series at
525V ,
0.525
3.445 0.241
86.025
if detuned reactor and capacitor bank installed in 400V so, the reactive power output will be
reduced.
400
525
86.025
49.9
2. detuned reactor calculation in 100 kVAr 525 V
Capacitance from Capacitor bank 100 kVAr / 525V
0.525
0.1
2.756Ω
1
1
2
1.155
2
Resonance frequency equation
1
2 √
This detuned Reactor has a factor reactor 7 % . it means that when this filter operated
in 50 Hz system value of capacitance is 7% from reactance.
0.07
2
0.07
2
2
0.07
2
√0.07
50
2 √
With this value,we will get resonance frequency when detuned reactor applied in
capacitor bank.
1
2 √
50
√0.07
189
L at resonance frequency is
1
0.729Ω
2
0.729Ω
2
0.614
Xl and Xc when this filter applied in 50 Hz system are,
1
2
2
2.756ΩΩ
0.193Ω
Reactive power output when detuned reactor applied with capacitor bank in series at
525V.
0.525
2.756 0.193
107.54
if detuned reactor and capacitor bank installed in 400V so, the reactive power output will be
reduced.
400
525
62.4
107.54