Base Current for Three-Phase System 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 is a crucial current of bipolar junction transistor. Without the base current, the transistor cannot turn on.ⓘ Base Current for Three-Phase System [I_b]

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Formula

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Base Current for Three-Phase System

Formula

`"I"_{"b"} = "P"_{"b"}/(sqrt(3)*"V"_{"base"})`

Example

`"23.09401A"="10000VA"/(sqrt(3)*"250V")`

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Base Current for Three-Phase System Solution

STEP 0: Pre-Calculation Summary

Formula Used

Base Current = Base Power/(sqrt(3)*Base Voltage)
I_b = P_b/(sqrt(3)*V_base)
This formula uses 1 Functions, 3 Variables

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

Base Current - (Measured in Ampere) - Base Current is a crucial current of bipolar junction transistor. Without the base current, the transistor cannot turn on.
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_b = P_b/(sqrt(3)*V_base) --> 10000/(sqrt(3)*250)

Evaluating ... ...

I_b = 23.094010767585

STEP 3: Convert Result to Output's Unit

23.094010767585 Ampere --> No Conversion Required

FINAL ANSWER

23.094010767585 ≈ 23.09401 Ampere <-- Base Current

(Calculation completed in 00.004 seconds)

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Created by Prahalad Singh

Jaipur Engineering College and Research Centre (JECRC), Jaipur

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Birsa Institute of Technology (BIT), Sindri

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< 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 for Three-Phase System Formula

Base Current = Base Power/(sqrt(3)*Base Voltage)
I_b = P_b/(sqrt(3)*V_base)

What is the condition for power and voltage to calculate "Base Current " in three phase system?

Base kVA and base voltage in kV to mean base kVA for the total of the three phases and base voltage from line to line.

How to Calculate Base Current for Three-Phase System?

Base Current for Three-Phase System calculator uses Base Current = Base Power/(sqrt(3)*Base Voltage) to calculate the Base Current, Base Current for Three-phase System is the ratio of the base kVA to √3 of base voltage where voltage is line to line voltage. Base Current is denoted by I_b symbol.

How to calculate Base Current for Three-Phase System using this online calculator? To use this online calculator for Base Current for Three-Phase System, enter Base Power (P_b) & Base Voltage (V_base) and hit the calculate button. Here is how the Base Current for Three-Phase System calculation can be explained with given input values -> 23.09401 = 10000/(sqrt(3)*250).

FAQ

What is Base Current for Three-Phase System?

Base Current for Three-phase System is the ratio of the base kVA to √3 of base voltage where voltage is line to line voltage and is represented as I_b = P_b/(sqrt(3)*V_base) or Base Current = Base Power/(sqrt(3)*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 for Three-Phase System?

Base Current for Three-phase System is the ratio of the base kVA to √3 of base voltage where voltage is line to line voltage is calculated using Base Current = Base Power/(sqrt(3)*Base Voltage). To calculate Base Current for Three-Phase System, 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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