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Calculation of Stabilizing Resistance for Motor Earth Fault Protection (For SPACOM & RE series Relay) Parameter description
Symbol
Value
Unit
Rated Power
Pnm
= 160
kW
Rated Voltage
Unm
= 0.415
kV
Length of cable connecting CT to Relay
L
= 10
m
DC Resistance of the cable
Rcable
= 8.82
CT Primary Rated Current
I1
= 300
A
CT Secondary Rated Current
I2
= 1
A
= 7.2
-
Peak factor for during motor starting Imax
= 400
A
Relay input impedance
Rr
= 0.1
Ω
Rated Current
Inm
= 290
A
Internal Resistance of the CT
Rct
= 0.28
Ω
Magnetizing current of the CT at the voltage Ukn
Iekn
= 100
Knee point voltage of CT
Ukn
= 20
V
= 15
%
L&T to put the value
mA L&T to put the value
CT Ratio
n
= 300
-
Startup current (primary value) of the motor
Istart
= 2088
A
Resistance of the longest loop of the CT secondary circuit
Rm
= 0.18
Ω
Primary current at which relay starts
Iprim
= 43.5
A
Start current(secondary value) of the earth fault protection
Is
= 0.09735
A
Magnetizing current of the CT at the voltage Us
Ie
= 15.88
Relay setting
L&T to verify the value
Ω/km L&T to verify the value
Maximum earth fault current
Motor earth fault setting
Remarks
L&T to put the value
mA
= 0.09735
-
Stabilizing voltage
Us
= 3.176544
V
Maximum voltage across relay duting fault (ignoring CT saturation)
Uf
= 44.25
V
Peak voltage across relay during fault (considering CT saturation)
Upeak
= 62.29
V
Stabilizing resistance
Rs
= 32.63
Ω
Result
Power rating of stabilizing resistor
Ps
= 12.26
W
Result
Should be less than Relay Permissible Voltage Should be less than Relay Permissible Voltage
Calculation of Stabilizing Resistance for Motor Earth Fault Protection (For SPACOM & RE series Relay) Parameter description
Symbol
Value
Unit
Rated Power
Pnm
= 132
kW
Rated Voltage
Unm
= 0.415
kV
Length of cable connecting CT to Relay
L
= 10
m
DC Resistance of the cable
Rcable
= 8.82
CT Primary Rated Current
I1
= 300
A
CT Secondary Rated Current
I2
= 1
A
= 7.2
-
Peak factor for during motor starting Imax
= 400
A
Relay input impedance
Rr
= 0.02
Ω
Rated Current
Inm
= 240
A
Internal Resistance of the CT
Rct
= 0.28
Ω
Magnetizing current of the CT at the voltage Ukn
Iekn
= 100
Knee point voltage of CT
Ukn
= 20
V
= 15
%
n
= 300
-
Startup current (primary value) of the motor
Istart
= 1728
A
Resistance of the longest loop of the CT secondary circuit
Rm
= 0.18
Ω
Primary current at which relay starts
Iprim
= 36
A
Start current(secondary value) of the earth fault protection
Is
= 0.08
A
Magnetizing current of the CT at the voltage Us
Ie
= 13.14
mA
= 0.08
-
= 2.628864
V
= 44.14
V
Stabilizing voltage
Us
Maximum voltage across relay duting fault (ignoring CT saturation) Uf
L&T to put the value
mA L&T to put the value
CT Ratio
Relay setting
L&T to verify
Ω/km L&T to verify
Maximum earth fault current
Motor earth fault setting
Remarks
L&T to put the value
Should be less than Relay Permissible Voltage Should be less than Relay Permissible Voltage
Peak voltage across relay during fault (considering CT saturation)
Upeak
= 62.15
V
Stabilizing resistance
Rs
= 32.63
Ω
Result
Power rating of stabilizing resistor
Ps
= 12.26
W
Result
Calculation of Stabilizing Resistance for Motor Earth Fault Protection (For SPACOM & RE series Relay Parameter description
Symbol
Value
Unit
Rated Power
Pnm
= 110
kW
Rated Voltage
Unm
= 0.415
kV
Length of cable connecting CT to Relay
L
= 10
m
DC Resistance of the cable
Rcable
= 8.82
Ω/km
CT Primary Rated Current
I1
= 250
A
CT Secondary Rated Current
I2
= 1
A
= 7.2
-
Peak factor for during motor starting Maximum earth fault current
Imax
= 400
A
Relay input impedance
Rr
= 0.02
Ω
Rated Current
Inm
= 200
A
Internal Resistance of the CT
Rct
= 0.28
Ω
Magnetizing current of the CT at the voltage Ukn
Iekn
= 100
mA
Knee point voltage of CT
Ukn
= 20
V
= 15
%
Motor earth fault setting CT Ratio
n
= 250
-
Startup current (primary value) of the motor
Istart
= 1440
A
Resistance of the longest loop of the CT secondary circuit
Rm
= 0.18
Ω
Primary current at which relay starts
Iprim
= 30
A
Start current(secondary value) of the earth fault protection
Is
= 0.08
A
Magnetizing current of the CT at the voltage Us
Ie
= 13.14
mA
= 0.08
-
Relay setting Stabilizing voltage
Us
= 2.628864
V
Maximum voltage across relay duting fault (ignoring CT saturation)
Uf
= 52.97
V
Peak voltage across relay during fault (considering CT saturation)
Upeak
= 72.63
V
Stabilizing resistance
Rs
= 32.63
Ω
Power rating of stabilizing resistor
Ps
= 12.26
W
nce for Motor Earth Fault Protection (For SPACOM & RE series Relay) Remarks
L&T to verify L&T to verify
L&T to put the value L&T to put the value L&T to put the value
Should be less than Relay Permissible Voltage Should be less than Relay Permissible Voltage Result Result
Calculation of Stabilizing Resistance for Motor Earth Fault Protection (For SPACOM & RE series Relay Parameter description
Symbol
Value
Unit
Rated Power
Pnm
= 90
kW
Rated Voltage
Unm
= 0.415
kV
Length of cable connecting CT to Relay
L
= 10
m
DC Resistance of the cable
Rcable
= 8.82
Ω/km
CT Primary Rated Current
I1
= 200
A
CT Secondary Rated Current
I2
= 1
A
= 7.2
-
Peak factor for during motor starting Maximum earth fault current
Imax
= 400
A
Relay input impedance
Rr
= 0.02
Ω
Rated Current
Inm
= 165
A
Internal Resistance of the CT
Rct
= 0.28
Ω
Magnetizing current of the CT at the voltage Ukn
Iekn
= 100
mA
Knee point voltage of CT
Ukn
= 20
V
= 15
%
Motor earth fault setting CT Ratio
n
= 200
-
Startup current (primary value) of the motor
Istart
= 1188
A
Resistance of the longest loop of the CT secondary circuit
Rm
= 0.18
Ω
Primary current at which relay starts
Iprim
= 24.75
A
Start current(secondary value) of the earth fault protection
Is
= 0.08
A
Magnetizing current of the CT at the voltage Us
Ie
= 13.56
mA
= 0.08
-
Relay setting Stabilizing voltage
Us
= 2.711016
V
Maximum voltage across relay duting fault (ignoring CT saturation)
Uf
= 66.21
V
Peak voltage across relay during fault (considering CT saturation)
Upeak
= 85.99
V
Stabilizing resistance
Rs
= 32.63
Ω
Power rating of stabilizing resistor
Ps
= 12.26
W
ance for Motor Earth Fault Protection (For SPACOM & RE series Relay) Remarks
L&T to verify L&T to verify
L&T to put the value L&T to put the value L&T to put the value
Should be less than Relay Permissible Voltage Should be less than Relay Permissible Voltage Result Result