Electrical Engineering Tool

Transformer Sizing Calculator - Electrical Transformer Calculator & Power Rating Calculator

Free transformer sizing calculator & electrical transformer calculator. Calculate power ratings, efficiency, impedance, voltage regulation, and electrical parameters with step-by-step solutions for power distribution and industrial applications.

Last updated: October 19, 2025

Multiple calculation methods
Electrical parameter analysis
Step-by-step solutions

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Transformer Sizing Calculator
Calculate transformer specifications, power ratings, efficiency, and electrical parameters
Transformer Specifications
Power Rating

4.80

kVA

Turns Ratio

4.00

N₁/N₂

Efficiency

95.0

%

Impedance

4800.00

%

Electrical Parameters:

Primary Current:10.00 A
Secondary Current:40.00 A
Voltage Regulation:3.00%
Temperature Rise:65°C

Losses:

Total Losses:240 W
Core Losses:96 W
Copper Losses:144 W
Calculation Steps
Step-by-step breakdown of the transformer sizing calculations
1

Given: Primary voltage = 480 V, Primary current = 10 A, Secondary voltage = 120 V

2

Step 1: Calculate turns ratio N = V₁/V₂ = 480/120 = 4.00

3

Step 2: Calculate secondary current I₂ = (V₁ × I₁)/V₂ = (480 × 10)/120 = 40.00 A

4

Step 3: Calculate power rating P = V₁ × I₁ = 480 × 10 = 4800 VA = 4.80 kVA

5

Step 4: Calculate efficiency η = 95% (typical for distribution transformers)

6

Step 5: Calculate losses = P × (100 - η)/100 = 4800 × (100 - 95)/100 = 240 W

7

Step 6: Calculate impedance Z = (V₁²/P) × 100 = (480²/4800) × 100 = 4800.00%

Formulas Used
The mathematical formulas applied in the calculations

Power Rating

P = V × I

Turns Ratio

N = V₁/V₂

Efficiency

η = (P_out/P_in) × 100%

Impedance

Z = V²/P

Applications:

  • Power Distribution
  • Industrial
  • Residential
  • Commercial
Transformer Sizing Examples
Common transformer calculations and their results

Common Examples

Standard step-down transformer
480V to 120V, 10A primary
Result: 40A secondary, 4.8kVA
Control transformer
240V to 24V, 5A primary
Result: 50A secondary, 1.2kVA
Power distribution transformer
13.8kV to 480V, 100A primary
Result: 2.88kA secondary, 2.4MVA
Step-up transformer
120V to 240V, 20A primary
Result: 10A secondary, 2.4kVA

Practical Examples

Commercial power distribution
Building electrical system
Result: Transformer sizing
Manufacturing applications
Industrial motor control
Result: Control voltage transformation
Solar/wind power integration
Renewable energy system
Result: Grid connection transformer
Critical power infrastructure
Data center power
Result: UPS transformer sizing

Transformer Sizing Calculator Types & Methods

Power Rating Calculator
Calculate transformer power rating from voltage and current parameters

Best for

Load sizing

Calculate power rating from primary/secondary voltage and current values

Efficiency Calculator
Calculate transformer efficiency and losses from power ratings

Best for

Loss analysis

Determine efficiency, core losses, and copper losses

Impedance Calculator
Calculate transformer impedance and voltage regulation

Best for

System analysis

Calculate impedance percentage and voltage regulation effects

Current-Based Calculator
Calculate transformer parameters from current requirements

Best for

Load matching

Size transformer based on secondary current requirements

Distribution Transformer Calculator
Specialized calculator for power distribution applications

Application

Power distribution

Optimized for utility and commercial distribution systems

Industrial Transformer Calculator
Advanced calculator for industrial and heavy-duty applications

Application

Industrial systems

Designed for manufacturing and heavy industrial applications

Quick Example Result

For transformer: 480V primary, 120V secondary, 10A primary current

Power Rating

4.8 kVA

Secondary Current

40 A

How Our Transformer Sizing Calculator Works

Our transformer sizing calculator uses electrical engineering principles and transformer theory to calculate power ratings, efficiency, impedance, and other critical parameters. The calculator applies fundamental electrical laws to ensure proper transformer sizing for power distribution and industrial applications.

Transformer Sizing Principles

Power Rating: P = V × I (single-phase)
Power Rating: P = √3 × V × I (three-phase)
Efficiency: η = (P_out/P_in) × 100%
Impedance: Z = (V²/P) × 100%

These fundamental formulas form the basis of transformer sizing calculations. The calculator considers efficiency, losses, and impedance to provide accurate sizing recommendations for various applications.

⚡ Transformer Diagram

Shows primary and secondary windings with electrical parameters

Electrical Engineering Foundation

Transformer sizing is based on electrical engineering principles including electromagnetic theory, power system analysis, and energy conversion. The fundamental transformer equation relates primary and secondary voltages to the turns ratio, while power conservation principles determine current relationships.

  • Power rating determines transformer capacity and physical size
  • Efficiency affects operating costs and heat generation
  • Impedance impacts voltage regulation and fault current
  • Losses determine cooling requirements and operating temperature
  • Voltage regulation affects load performance and stability
  • Temperature rise determines insulation life and reliability

Sources & References

  • Electrical Power Systems - P. S. R. MurtyComprehensive coverage of power system analysis and transformer theory
  • Power System Analysis - Hadi SaadatClassic textbook on power system engineering and transformer applications
  • IEEE Standards - Transformer Sizing and SelectionIndustry standards for transformer sizing and electrical system design

Need help with other electrical calculations? Check out our capacitor calculator and joules calculator.

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Transformer Sizing Calculator Examples

Power Rating Calculation Example
Calculate transformer power rating for 480V to 120V step-down transformer with 10A primary current

Given Parameters:

  • Primary Voltage: 480 V
  • Secondary Voltage: 120 V
  • Primary Current: 10 A
  • Method: Power Rating

Calculation Steps:

  1. Calculate turns ratio: N = 480/120 = 4
  2. Calculate secondary current: I₂ = (480 × 10)/120 = 40 A
  3. Calculate power rating: P = 480 × 10 = 4800 VA = 4.8 kVA
  4. Calculate efficiency: η = 95% (typical)
  5. Calculate losses: 4800 × (100-95)/100 = 240 W

Result: 4.8 kVA transformer with 40 A secondary current

The transformer can handle 4.8 kVA of load with 95% efficiency and 240 W total losses.

Efficiency Calculation Example

5 kVA transformer with 96% efficiency

Losses = 200 W (4% of 5 kVA)

Core losses = 80 W, Copper losses = 120 W

Impedance Calculation Example

10 kVA, 480V transformer with 5% impedance

Voltage regulation = 3%

Fault current = 20 times full-load current

Frequently Asked Questions

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Transformer Sizing Calculator - Free Electrical Transformer Calculator