Home Back

Neutral Current Calculation in 3 Phase System

Neutral Current Formula:

\[ I_n = \sqrt{I_a^2 + I_b^2 + I_c^2 - I_a \times I_b - I_b \times I_c - I_c \times I_a} \]

amps
amps
amps
amps

Unit Converter ▲

Unit Converter ▼

From: To:

1. What is Neutral Current in a 3-Phase System?

Definition: Neutral current is the current flowing through the neutral conductor in a 3-phase wye (star) connected system.

Purpose: This calculation helps electrical engineers and technicians determine the current in the neutral wire, which is important for proper sizing of conductors and protection devices.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ I_n = \sqrt{I_a^2 + I_b^2 + I_c^2 - I_a \times I_b - I_b \times I_c - I_c \times I_a} \]

Where:

Explanation: The formula calculates the vector sum of the three phase currents to determine the current that would flow in the neutral conductor.

3. Importance of Neutral Current Calculation

Details: Proper calculation of neutral current ensures:

4. Using the Calculator

Tips: Enter the current values for all three phases in amps. The calculator will compute the neutral current. All values must be ≥ 0.

5. Frequently Asked Questions (FAQ)

Q1: When is the neutral current zero?
A: Neutral current is zero when all three phase currents are equal (balanced load).

Q2: What's the maximum possible neutral current?
A: In theory, the neutral current can be up to 173% of any single phase current (when two phases have zero current).

Q3: Does this formula work for harmonic currents?
A: No, this formula is for fundamental frequency only. Harmonic currents require different calculations.

Q4: What if one phase has zero current?
A: The formula still works. For example, if \( I_c = 0 \), then \( I_n = \sqrt{I_a^2 + I_b^2 - I_a \times I_b} \).

Q5: How does power factor affect neutral current?
A: This formula assumes all currents have the same phase angle. Different power factors would require a more complex vector calculation.

Neutral Current Calculation in 3 Phase System© - All Rights Reserved 2025