Voltage Drop Calculation
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Sample Voltage Drop Calculation Across Cable See figure 1 and figure 2 below CBL-0001: Given: Length = 1000 ft. PF = Cosθ = 0.26 R = 0.51 Ω /1000 ft.
I = 79.92 A Sinθ = Sin(Cos-1θ) = 0.966 X = 0.0796Ω/1000 ft.
Ract = (0.51Ω /1000 ft.)(1000ft.) = 0.51 Ω Xact = (0.0796Ω/1000 ft.)(1000 ft.) = 0.0796 Ω Voltage Drop Calculation: ÿ From IEEE Red Book VD = IRCosθ + IXSinθ VD = I[RCosθ + XSinθ] VD = 79.92 [(0.51)( 0.26) + (0.0796)(0.966)] = 16.74 V VD3θ = √3 X VD = √3 X 16.74 V = 28.99 V ÿ Same as PTW32 result V D3θ % = (28.99/4160V) X 100 = 0.698 % Figure 1 Input/Impedance Data UTIL-0001
Nominal Voltage 4160 V
BUS-0001
Length 1000.0 ft Rpos 0.5100 Ohm/1000 ft Xpos 0.0796 Ohm/1000 ft Rzero 1.6073 Ohm/1000 ft Xzero 0.1960 Ohm/1000 ft pu Rpos (100MVA Base) 2.9470 pu pu Xzero (100MVA Base) 1.1326 pu pu Rzero (100MVA Base) 9.2877 pu pu Xpos (100MVA Base) 0.4600 pu
CBL-0001
BUS-0002 Nominal Voltage 4160 V
XF2-0001
Nominal Voltage 480 V
Nominal kVA 300.0 kVA Rpos 1.7000 % Xpos 4.9600 % Rzero 1.7000 % Xzero 4.9600 % pu Rpos (100MVA Base) 5.6667 pu pu Xzero (100MVA Base) 16.5333 pu pu Rzero (100MVA Base) 5.6667 pu pu Xpos (100MVA Base) 16.5333 pu
BUS-0003
CBL-0002
Nominal Voltage 480 V
Length 1000.0 ft Rpos 0.2100 Ohm/1000 ft Xpos 0.0430 Ohm/1000 ft Rzero 0.6618 Ohm/1000 ft Xzero 0.1059 Ohm/1000 ft pu Rpos (100MVA Base) 22.7865 pu pu Xzero (100MVA Base) 11.4909 pu pu Rzero (100MVA Base) 71.8099 pu pu Xpos (100MVA Base) 4.6658 pu
BUS-0004
RatedSize 100.00 hp State Starting pu Rpos (100MVA Base) 14.58 pu pu Xneg (100MVA Base) 145.80 pu MTRI-0001
Figure 2
Load Flow and Voltage Drop UTIL-0001
NominalSysVoltage 4160 V LF Voltage 4160.00 V LF VD% 0.00 %
BUS-0001
LF Current 79.92 A LF Current Angle -74.65 deg LF VD% 0.69 % LF PF 0.26
CBL-0001
NominalSysVoltage 4160 V LF Voltage 4131.20 V LF VD% 0.69 %
BUS-0002
LF Current 79.92 A LF CurrentSec 692.62 A LF Current Angle -74.65 deg LF VD% 10.03 % LF PF 0.25
XF2-0001
NominalSysVoltage 480 V LF Voltage 428.53 V LF VD% 10.72 %
BUS-0003
CBL-0002
NominalSysVoltage 480 V LF Voltage 405.01 V LF VD% 15.62 %
LF Current 692.62 A LF Current Angle -74.65 deg LF VD% 4.90 % LF PF 0.24
BUS-0004
MTRI-0001 State Starting
I = 79.92 A Sinθ = Sin(Cos-1θ) = 0.966 X = 0.0796Ω/1000 ft.
Ract = (0.51Ω /1000 ft.)(1000ft.) = 0.51 Ω Xact = (0.0796Ω/1000 ft.)(1000 ft.) = 0.0796 Ω Voltage Drop Calculation: ÿ From IEEE Red Book VD = IRCosθ + IXSinθ VD = I[RCosθ + XSinθ] VD = 79.92 [(0.51)( 0.26) + (0.0796)(0.966)] = 16.74 V VD3θ = √3 X VD = √3 X 16.74 V = 28.99 V ÿ Same as PTW32 result V D3θ % = (28.99/4160V) X 100 = 0.698 % Figure 1 Input/Impedance Data UTIL-0001
Nominal Voltage 4160 V
BUS-0001
Length 1000.0 ft Rpos 0.5100 Ohm/1000 ft Xpos 0.0796 Ohm/1000 ft Rzero 1.6073 Ohm/1000 ft Xzero 0.1960 Ohm/1000 ft pu Rpos (100MVA Base) 2.9470 pu pu Xzero (100MVA Base) 1.1326 pu pu Rzero (100MVA Base) 9.2877 pu pu Xpos (100MVA Base) 0.4600 pu
CBL-0001
BUS-0002 Nominal Voltage 4160 V
XF2-0001
Nominal Voltage 480 V
Nominal kVA 300.0 kVA Rpos 1.7000 % Xpos 4.9600 % Rzero 1.7000 % Xzero 4.9600 % pu Rpos (100MVA Base) 5.6667 pu pu Xzero (100MVA Base) 16.5333 pu pu Rzero (100MVA Base) 5.6667 pu pu Xpos (100MVA Base) 16.5333 pu
BUS-0003
CBL-0002
Nominal Voltage 480 V
Length 1000.0 ft Rpos 0.2100 Ohm/1000 ft Xpos 0.0430 Ohm/1000 ft Rzero 0.6618 Ohm/1000 ft Xzero 0.1059 Ohm/1000 ft pu Rpos (100MVA Base) 22.7865 pu pu Xzero (100MVA Base) 11.4909 pu pu Rzero (100MVA Base) 71.8099 pu pu Xpos (100MVA Base) 4.6658 pu
BUS-0004
RatedSize 100.00 hp State Starting pu Rpos (100MVA Base) 14.58 pu pu Xneg (100MVA Base) 145.80 pu MTRI-0001
Figure 2
Load Flow and Voltage Drop UTIL-0001
NominalSysVoltage 4160 V LF Voltage 4160.00 V LF VD% 0.00 %
BUS-0001
LF Current 79.92 A LF Current Angle -74.65 deg LF VD% 0.69 % LF PF 0.26
CBL-0001
NominalSysVoltage 4160 V LF Voltage 4131.20 V LF VD% 0.69 %
BUS-0002
LF Current 79.92 A LF CurrentSec 692.62 A LF Current Angle -74.65 deg LF VD% 10.03 % LF PF 0.25
XF2-0001
NominalSysVoltage 480 V LF Voltage 428.53 V LF VD% 10.72 %
BUS-0003
CBL-0002
NominalSysVoltage 480 V LF Voltage 405.01 V LF VD% 15.62 %
LF Current 692.62 A LF Current Angle -74.65 deg LF VD% 4.90 % LF PF 0.24
BUS-0004
MTRI-0001 State Starting
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