Bus Bar Calculator

Calculate current capacity, voltage drop, and temperature rise for electrical bus bars. This calculator helps electrical engineers, panel builders, and power system designers to properly size and evaluate bus bars.

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Results

Current Capacity

Voltage Drop

Temperature Rise

Cross-Sectional Area

Resistance

Analysis

About Bus Bars

What is a Bus Bar?

A bus bar is a metallic strip or bar used in electrical distribution systems to conduct and distribute electrical power. Bus bars are typically made of copper, aluminum, or brass, and are used in power distribution panels, switchgear, and other electrical equipment.

Current Capacity (Ampacity)

The current capacity or ampacity of a bus bar is the maximum current it can carry continuously without exceeding its temperature rating. The ampacity depends on several factors:

  • Material (copper has higher conductivity than aluminum)
  • Cross-sectional area (larger area allows more current)
  • Surface area (affects heat dissipation)
  • Ambient temperature (higher ambient temperature reduces capacity)
  • Ventilation (better airflow improves cooling)

Current Capacity Formula:

I = J × A

Where:

  • I = Current capacity (A)
  • J = Current density (A/mm²)
  • A = Cross-sectional area (mm²)

Voltage Drop

Voltage drop is the reduction in voltage along a bus bar due to its resistance. Excessive voltage drop can cause equipment to malfunction or operate inefficiently.

Voltage Drop Formula:

Vdrop = I × R

Where:

  • Vdrop = Voltage drop (V)
  • I = Current (A)
  • R = Resistance (Ω)

Temperature Rise

Temperature rise is the increase in temperature of a bus bar above the ambient temperature when current flows through it. Excessive temperature rise can damage insulation, cause connections to loosen, and reduce the lifespan of the bus bar.

Temperature Rise Formula:

ΔT = (I² × R) / (h × S)

Where:

  • ΔT = Temperature rise (°C)
  • I = Current (A)
  • R = Resistance (Ω)
  • h = Heat transfer coefficient
  • S = Surface area (mm²)

Bus Bar Resistance

The resistance of a bus bar depends on its material, length, and cross-sectional area.

Resistance Formula:

R = ρ × L / A

Where:

  • R = Resistance (Ω)
  • ρ = Resistivity of the material (Ω·m)
  • L = Length (m)
  • A = Cross-sectional area (m²)

Material Properties

Material Resistivity (Ω·m at 20°C) Temperature Coefficient (/°C) Typical Current Density (A/mm²)
Copper 1.68 × 10-8 0.00393 2-4
Aluminum 2.82 × 10-8 0.00403 1.2-2
Brass 6.39 × 10-8 0.0020 1-1.5
Silver 1.59 × 10-8 0.0038 4-6

Parallel Bus Bars

Multiple bus bars can be connected in parallel to increase current capacity. However, the effective capacity is not simply the sum of individual capacities due to mutual heating and proximity effects. The spacing between bars affects current distribution and cooling.

Design Considerations

  • Temperature Rating: Bus bars should be sized to operate below their maximum temperature rating.
  • Voltage Drop: Typically, voltage drop should be limited to 1-3% of the system voltage.
  • Short Circuit Capacity: Bus bars must withstand short circuit currents without mechanical damage.
  • Mechanical Strength: Bus bars must be mechanically strong enough to support their own weight and withstand electromagnetic forces during fault conditions.
  • Expansion: Thermal expansion must be considered in the mounting and support of bus bars.