45 kva transformer amps

The following is the calculation of the rated current and the selection analysis of a **45 kVA transformer**, distinguishing between

 **three-phase** and **single-phase** scenarios:

 I. Calculation of the Current of a Three-phase Transformer

**Formula**:

1742958757256.png

Common Voltage Levels and Currents

Input/Output Voltage (V)Calculation FormulaRated Current (A)Application Scenarios
480V → 208Y/120V45,000 ÷ (1.732×480)54.1 APower distribution in commercial buildings (such as shopping malls and office buildings)
600V → 480V45,000 ÷ (1.732×600)43.3 APower supply for industrial equipment
10kV → 480V45,000 ÷ (1.732×10,000)2.6 AHigh-voltage power transmission to low-voltage power distribution
240V (Three-phase)45,000 ÷ (1.732×240)108.2 AThree-phase motors in small industries

 II. Calculation of the Current of a Single-phase Transformer

**Formula**:

1742958677180.png

 Common Voltage Levels and Currents

Input/Output Voltage (V) Current (A)Application Scenarios
240V → 120V187.5 ALarge single-phase loads (such as welding machines and heat pumps)
480V → 240V93.75 ASingle-phase industrial equipment
120V375 ARarely used (the current is too large and customization is required)

III. Practical Selection Suggestions (Scenarios in the United States)

1. **Conductor Specifications (NEC Standards)**

   - **Three-phase 480V 54.1A**: **8 AWG copper cable** is recommended (current-carrying capacity 55A, THHN insulation).

   - **Single-phase 240V 187.5A**: **2/0 AWG copper cable** is required (current-carrying capacity 200A).

2. **Selection of Circuit Breakers**

   - Three-phase: **60A circuit breaker** (1.1 times the rated current, meeting the protection requirements of NEC 450.3).

   - Single-phase: **200A circuit breaker** (The starting current of the load needs to be confirmed).

3. **Recommendations for Transformer Types**

   - **Indoor Scenarios**: Dry-type transformers (such as Square D 45 kVA, 480V→208Y/120V, $1,800~$3,000).

   - **Outdoor Scenarios**: Oil-cooled transformers (such as Eaton 45 kVA, with NEMA 3R casing, $1,500~$2,500).

 IV. Summary and Comparison Table

Number of Phases Voltage Level (V)Rated Current (A)Typical ApplicationsConductor Specifications (Copper Cable)
Three-phase480 → 208/12054.1 ACommercial power distribution8 AWG
Three-phase240 (Three-phase)108.2 ASmall industries4 AWG
Single-phase240 → 120187.5 AWelding machines, large heaters2/0 AWG

**Note**:

- If the transformer is of the **step-up/step-down type**, the currents on the primary side and the secondary side need to be

 calculated separately.

- A **10%~20% margin** should be left for the actual current to avoid overloading (for example, the long-term load of a 45 kVA

 transformer is recommended to be ≤ 40.5 kVA).