Safety & Protection calculator

NGR Calculator

This neutral grounding resistor (NGR) calculator is designed for electrical engineers and protection specialists who need to size NGRs for medium and high voltage systems. Given system voltage and desired ground fault current limit, the calculator computes the required NGR resistance using the fundamental relationship R = V_LN / I_fault per IEEE 142 (Green Book). Additional modes handle power dissipation analysis, thermal rating selection, system charging current comparison, and complete NGR specification. The tool supports common voltages from 480V to 69kV and fault currents from 5A to 400A, covering both generator and transformer neutral grounding applications. All outputs should be verified against IEEE 142, IEEE C62.92, NEMA GR-1, and applicable NEC articles before specifying safety-critical equipment.

Updated June 21, 2026

Calculator Inputs

Maximum ground fault current to allow (typically 5-25A for generators, 25-400A for transformers)

Calculation Results

Enter values above to see calculation results

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Calculation history

Example Calculations

13.8kV Generator Neutral Grounding

Size an NGR for a 13.8kV, 10MVA synchronous generator with 10A ground fault limit

Inputs
  • System Voltage: 13800
  • Desired Ground-Fault Current: 10
  • Fault Duration: 10
  • Calculation Mode: Complete NGR design

4.16kV Industrial Substation

Size an NGR for a 4.16kV unit substation with 25A ground fault limit

Inputs
  • System Voltage: 4160
  • Desired Ground-Fault Current: 25
  • Fault Duration: 10
  • Calculation Mode: NGR resistance sizing

How to Use

How to Size a Neutral Grounding Resistor (NGR) per IEEE 142

This calculator helps you determine the correct NGR resistance, power rating, and thermal capacity for medium and high voltage systems using high-resistance grounding (HRG). It applies the IEEE 142 methodology used by electrical engineers worldwide.

Quick Reference: Common NGR Values for 10A Fault Limit

System Voltage (L-L)V_LNNGR ResistancePower @ 10A
2.4 kV1,386 V139 Ω1.4 kW
4.16 kV2,402 V240 Ω2.4 kW
6.6 kV3,811 V381 Ω3.8 kW
11 kV6,351 V635 Ω6.4 kW
13.8 kV7,967 V797 Ω8.0 kW
22 kV12,702 V1,270 Ω12.7 kW
33 kV19,053 V1,905 Ω19.1 kW

Step 1: Select Calculation Mode

  • NGR Resistance Sizing – Primary mode: enter voltage and desired fault current to get NGR resistance.
  • Fault Current Analysis – Compare NGR-limited current to bolted fault current.
  • Power Rating – Calculate thermal capacity needed based on fault duration.
  • Charging Current Analysis – Verify NGR current exceeds system charging current (critical for HRG).
  • Complete Design – Full NGR specification with all parameters.

Step 2: Enter System Parameters

  • System Voltage (L-L) – Select your line-to-line voltage (480V to 69kV).
  • Desired Fault Current – Typical values: 5-25A for generators, 25-400A for transformers.
  • Fault Duration – For power rating: 10 seconds is standard, 60 seconds for extended.

Step 3: Interpret Results

  • NGR Resistance – Calculated as R = V_LN / I_fault per IEEE 142.
  • Power Rating – P = I² × R, must be rated for specified duration.
  • Thermal Capacity – Energy in kJ or kW-seconds the NGR must absorb.
  • Charging Current Ratio – Must be <100% for proper HRG operation.

Core Formula (IEEE 142)

R_NGR = V_LN / I_fault
 = (V_LL / √3) / I_fault

Where:
 V_LL = Line-to-line system voltage
 V_LN = Line-to-neutral voltage (phase voltage)
 I_fault = Desired ground fault current limit

Example (13.8kV, 10A limit):
 R = (13,800 / √3) / 10
 R = 7,967 / 10
 R = 797 Ω

Common Applications

Generator neutral grounding for medium voltage synchronous generators

Transformer secondary neutral grounding in industrial plants

High-resistance grounding (HRG) system design

Unit substation ground fault current limiting

Mining and petrochemical electrical system protection

Data center and hospital critical power systems

Wind and solar farm collector system grounding

Frequently Asked Questions

What is the NGR resistance formula?
NGR resistance is calculated as R = V_LN / I_fault, where V_LN is the line-to-neutral voltage (V_LL ÷ √3) and I_fault is the desired ground fault current limit. For example, a 13.8kV system with 10A limit requires: R = (13,800 ÷ √3) ÷ 10 = 797Ω.
What is the typical fault current for generator NGR?
Per IEEE C62.92.2, generator neutrals are typically grounded through an NGR that limits fault current to 5-25 amperes. Lower values (5-10A) reduce generator core damage but require more sensitive protection relays. The 10A value is most common.
Why must NGR current exceed charging current?
In high-resistance grounding (HRG) systems, the NGR current must exceed system capacitive charging current to prevent transient overvoltages during arcing ground faults. IEEE 142 recommends NGR current be at least equal to, preferably greater than, the total system charging current.
How do I determine NGR power rating?
NGR power rating depends on fault current and duration: P = I² × R. Standard ratings are 10-second or 1-minute. For a 13.8kV/10A NGR (797Ω): P = 10² × 797 = 79.7kW for the duration. Multiply by time for thermal energy in kJ.
What is the difference between high-resistance and low-resistance grounding?
High-resistance grounding (HRG) limits fault current to 5-25A, allowing continued operation during ground faults. Low-resistance grounding limits fault current to 25-400A and requires immediate trip. HRG is used for generators and continuous processes; low-resistance for transformer neutrals and larger systems.