Voltage at Ith Bus Calculator

✖Number of Buses is defined as the number of point in the power system where multiple electrical components, such as generators, loads, and transmission lines, are connected.ⓘ Number of Buses [n]			+10% -10%
✖Bus Impedance is defined as the impedance of a bus or node in the system.ⓘ Bus Impedance [Z_i]			+10% -10%
✖Bus Current is defined as the electric current that electrical current flowing into or out of a specific bus or node.ⓘ Bus Current [I_k]			+10% -10%
✖Change in Bus Current is defined as the variation in electrical current at a specific bus or node within an electrical power system.ⓘ Change in Bus Current [ΔI_k]			+10% -10%

✖Bus Voltage is defined as the voltage level at a specific point in a power distribution network.ⓘ Voltage at Ith Bus [V_i]

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Formula

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Voltage at Ith Bus

Formula

`"V"_{"i"} = sum(x,1,"n",("Z"_{"i"}*("I"_{"k"}+"ΔI"_{"k"})))`

Example

`"330V"=sum(x,1,"2",("11Ω"*("10A"+"5A")))`

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Voltage at Ith Bus Solution

STEP 0: Pre-Calculation Summary

Formula Used

Bus Voltage = sum(x,1,Number of Buses,(Bus Impedance*(Bus Current+Change in Bus Current)))
V_i = sum(x,1,n,(Z_i*(I_k+ΔI_k)))
This formula uses 1 Functions, 5 Variables

Functions Used

sum - Summation or sigma (∑) notation is a method used to write out a long sum in a concise way., sum(i, from, to, expr)

Variables Used

Bus Voltage - (Measured in Volt) - Bus Voltage is defined as the voltage level at a specific point in a power distribution network.
Number of Buses - Number of Buses is defined as the number of point in the power system where multiple electrical components, such as generators, loads, and transmission lines, are connected.
Bus Impedance - (Measured in Ohm) - Bus Impedance is defined as the impedance of a bus or node in the system.
Bus Current - (Measured in Ampere) - Bus Current is defined as the electric current that electrical current flowing into or out of a specific bus or node.
Change in Bus Current - (Measured in Ampere) - Change in Bus Current is defined as the variation in electrical current at a specific bus or node within an electrical power system.

STEP 1: Convert Input(s) to Base Unit

Number of Buses: 2 --> No Conversion Required
Bus Impedance: 11 Ohm --> 11 Ohm No Conversion Required
Bus Current: 10 Ampere --> 10 Ampere No Conversion Required
Change in Bus Current: 5 Ampere --> 5 Ampere No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V_i = sum(x,1,n,(Z_i*(I_k+ΔI_k))) --> sum(x,1,2,(11*(10+5)))

Evaluating ... ...

V_i = 330

STEP 3: Convert Result to Output's Unit

330 Volt --> No Conversion Required

FINAL ANSWER

330 Volt <-- Bus Voltage

(Calculation completed in 00.004 seconds)

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Credits

Created by Dipanjona Mallick

Heritage Insitute of technology (HITK), Kolkata

Dipanjona Mallick has created this Calculator and 50+ more calculators!

Verified by Aman Dhussawat

GURU TEGH BAHADUR INSTITUTE OF TECHNOLOGY (GTBIT), NEW DELHI

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< 2 Power Flow Analysis Calculators

Voltage at Ith Bus

Go Bus Voltage = sum(x,1,Number of Buses,(Bus Impedance*(Bus Current+Change in Bus Current)))

Voltage Profile Enhancement

Go Profile Voltage = Minimum Voltage*sum(x,1,Number of Buses,modulus(Bus Voltage-1))

Voltage at Ith Bus Formula

Bus Voltage = sum(x,1,Number of Buses,(Bus Impedance*(Bus Current+Change in Bus Current)))
V_i = sum(x,1,n,(Z_i*(I_k+ΔI_k)))

What do you mean by Voltage at ith Bus?

In the Context of Power Flow Analysis, electrical potential difference at a specific bus or node in the system. and this bus represents a point where various electrical components, such as generators, loads, and transmission lines, are connected. Each bus in a power system has an associated voltage, and the voltage at the ith bus is denoted as V_i which represents the magnitude and phase angle of the electrical potential at that particular node.

How to Calculate Voltage at Ith Bus?

Voltage at Ith Bus calculator uses Bus Voltage = sum(x,1,Number of Buses,(Bus Impedance*(Bus Current+Change in Bus Current))) to calculate the Bus Voltage, The Voltage at ith Bus formula is defined as the electrical potential difference at a specific bus or node in the system. The term ith Bus means the magnitude and phase angle of the electrical potential at that particular node. Bus Voltage is denoted by V_i symbol.

How to calculate Voltage at Ith Bus using this online calculator? To use this online calculator for Voltage at Ith Bus, enter Number of Buses (n), Bus Impedance (Z_i), Bus Current (I_k) & Change in Bus Current (ΔI_k) and hit the calculate button. Here is how the Voltage at Ith Bus calculation can be explained with given input values -> 330 = sum(x,1,2,(11*(10+5))).

FAQ

What is Voltage at Ith Bus?

The Voltage at ith Bus formula is defined as the electrical potential difference at a specific bus or node in the system. The term ith Bus means the magnitude and phase angle of the electrical potential at that particular node and is represented as V_i = sum(x,1,n,(Z_i*(I_k+ΔI_k))) or Bus Voltage = sum(x,1,Number of Buses,(Bus Impedance*(Bus Current+Change in Bus Current))). Number of Buses is defined as the number of point in the power system where multiple electrical components, such as generators, loads, and transmission lines, are connected, Bus Impedance is defined as the impedance of a bus or node in the system, Bus Current is defined as the electric current that electrical current flowing into or out of a specific bus or node & Change in Bus Current is defined as the variation in electrical current at a specific bus or node within an electrical power system.

How to calculate Voltage at Ith Bus?

The Voltage at ith Bus formula is defined as the electrical potential difference at a specific bus or node in the system. The term ith Bus means the magnitude and phase angle of the electrical potential at that particular node is calculated using Bus Voltage = sum(x,1,Number of Buses,(Bus Impedance*(Bus Current+Change in Bus Current))). To calculate Voltage at Ith Bus, you need Number of Buses (n), Bus Impedance (Z_i), Bus Current (I_k) & Change in Bus Current (ΔI_k). With our tool, you need to enter the respective value for Number of Buses, Bus Impedance, Bus Current & Change in Bus Current 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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