Base Current Calculator

✖Base power is the product of base voltage & base current. It is denoted as P_b .ⓘ Base Power [P_b]			+10% -10%
✖Base Voltage is chosen as the nominal rated voltage of the system.ⓘ Base Voltage [V_base]			+10% -10%

✖Base Current (PU) in the per unit system is the rated current of the machine in the power system.ⓘ Base Current [I_pu(b)]

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Formula

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Base Current

Formula

`"I"_{"pu(b)"} = "P"_{"b"}/"V"_{"base"}`

Example

`"40A"="10000VA"/"250V"`

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Base Current Solution

STEP 0: Pre-Calculation Summary

Formula Used

Base Current (PU) = Base Power/Base Voltage
I_pu(b) = P_b/V_base
This formula uses 3 Variables

Variables Used

Base Current (PU) - (Measured in Ampere) - Base Current (PU) in the per unit system is the rated current of the machine in the power system.
Base Power - (Measured in Watt) - Base power is the product of base voltage & base current. It is denoted as P_b .
Base Voltage - (Measured in Volt) - Base Voltage is chosen as the nominal rated voltage of the system.

STEP 1: Convert Input(s) to Base Unit

Base Power: 10000 Volt Ampere --> 10000 Watt (Check conversion here)
Base Voltage: 250 Volt --> 250 Volt No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

I_pu(b) = P_b/V_base --> 10000/250

Evaluating ... ...

I_pu(b) = 40

STEP 3: Convert Result to Output's Unit

40 Ampere --> No Conversion Required

FINAL ANSWER

40 Ampere <-- Base Current (PU)

(Calculation completed in 00.004 seconds)

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Credits

Created by Prahalad Singh

Jaipur Engineering College and Research Centre (JECRC), Jaipur

Prahalad Singh has created this Calculator and 100+ more calculators!

Verified by Payal Priya

Birsa Institute of Technology (BIT), Sindri

Payal Priya has verified this Calculator and 1900+ more calculators!

< 15 Line Performance Characteristics Calculators

Receiving End Real Power Component

Go Real Power = ((Receiving End Voltage*Sending End Voltage/B Parameter)*sin(Beta B-Parameter-Alpha A-Parameter))-((A Parameter*(Receiving End Voltage^2)*sin(Beta B-Parameter-Alpha A-Parameter))/B Parameter)

B-Parameter using Receiving End Reactive Power Component

Go B Parameter = (((Receiving End Voltage*Sending End Voltage)*cos(Beta B-Parameter-Alpha A-Parameter))-(A Parameter*(Receiving End Voltage^2)*cos(Beta B-Parameter- Alpha A-Parameter)))/Reactive Power

B-Parameter using Receiving End Real Power Component

Go B Parameter = (((Receiving End Voltage*Sending End Voltage)*sin(Beta B-Parameter-Alpha A-Parameter))-(A Parameter*Receiving End Voltage^2*sin(Beta B-Parameter-Alpha A-Parameter)))/Real Power

Penetration Depth of Eddy Currents

Go Penetration Depth = 1/sqrt(pi*Frequency*Magnetic Permeability of Medium*Electrical Conductivity)

Skin Depth in Conductor

Go Skin Depth = sqrt(Specific Resistance/(Frequency*Relative Permeability*4*pi*10^-7))

Dielectric Loss due to Heating in Cables

Go Dielectric Loss = Angular Frequency*Capacitance*Voltage^2*tan(Loss Angle)

Sag of Transmission Line

Go Sag of Transmission Line = (Weight of Conductor*Span Length^2)/(8*Working Tension)

Base Current for Three-Phase System

Go Base Current = Base Power/(sqrt(3)*Base Voltage)

Base Impedance given Base Current

Go Base Impedance = Base Voltage/Base Current (PU)

Complex Power given Current

Go Complex Power = Electric Current^2*Impedance

Base Current

Go Base Current (PU) = Base Power/Base Voltage

Base Voltage

Go Base Voltage = Base Power/Base Current (PU)

Base Power

Go Base Power = Base Voltage*Base Current

Phase Current for Balanced Three-Phase Delta Connection

Go Phase Current = Line Current/sqrt(3)

Phase Voltage for Balanced Three-Phase Star Connection

Go Phase Voltage = Line Voltage/sqrt(3)

Base Current Formula

Base Current (PU) = Base Power/Base Voltage
I_pu(b) = P_b/V_base

What is per unit value of a system?

The per-unit value of any quantity is defined as the ratio of actual value in any unit to the base or reference value in the same unit. Any quantity is converted into per unit quantity by dividing the numeral value by the chosen base value of the same dimension. The per-unit value is dimensionless.

How to Calculate Base Current?

Base Current calculator uses Base Current (PU) = Base Power/Base Voltage to calculate the Base Current (PU), Base Current is the ratio of the base power to the base voltage of system. It is denoted as I_base. Base Current (PU) is denoted by I_pu(b) symbol.

How to calculate Base Current using this online calculator? To use this online calculator for Base Current, enter Base Power (P_b) & Base Voltage (V_base) and hit the calculate button. Here is how the Base Current calculation can be explained with given input values -> 50 = 10000/250.

FAQ

What is Base Current?

Base Current is the ratio of the base power to the base voltage of system. It is denoted as I_base and is represented as I_pu(b) = P_b/V_base or Base Current (PU) = Base Power/Base Voltage. Base power is the product of base voltage & base current. It is denoted as P_b & Base Voltage is chosen as the nominal rated voltage of the system.

How to calculate Base Current?

Base Current is the ratio of the base power to the base voltage of system. It is denoted as I_base is calculated using Base Current (PU) = Base Power/Base Voltage. To calculate Base Current, you need Base Power (P_b) & Base Voltage (V_base). With our tool, you need to enter the respective value for Base Power & Base Voltage and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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