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Copper Loss

Calculate the total copper loss in a transformer from primary and secondary winding currents and resistances.

Electric current passing through copper conductors causes resistance, which in turn produces heat and causes copper loss. This dissipation of heat is a loss of thermal energy. The square of the current flowing through the conductor and the resistance of the copper material determine copper loss in a direct relationship.

The primary purpose of understanding copper loss is to assess the efficiency of electrical systems and devices. By minimizing copper loss, engineers can optimize the design and operation of electrical equipment, improving energy efficiency and reducing operational costs.

Understanding Copper Loss

Copper loss is a common occurrence in many electrical devices, such as transformers, motors, and light bulbs. For instance, when a light bulb is used, copper loss occurs when the current passing through it encounters resistance. Similarly, the resistance in the windings of a motor causes copper loss.

In certain instances, copper loss can be reduced by:

  • Utilizing materials like aluminum or silver that have lower resistivity
  • Improving the electrical device's design to lessen resistance

Nonetheless, because of its low cost and excellent conductivity, copper is still commonly utilized.

Applications

  • Transformer Design
  • Motor and Generator Efficiency
  • Power Transmission
  • Electrical Distribution Systems

About This Calculator

Joule's first law states that the energy lost per second grows as the square of the current passing through the winding. Use this Transformer Copper Loss Calculator to determine transformer ohmic loss by entering the required values.

Formula

l=(a2×b)+(c2×d)l = (a^2 \times b) + (c^2 \times d)

where:

  • ll = Copper Loss
  • aa = Primary Winding Current
  • bb = Primary Winding Ohmic Resistance
  • cc = Secondary Winding Current
  • dd = Secondary Winding Ohmic Resistance

Inputs

Current through the primary winding in amperes

Ohmic resistance of the primary winding

Current through the secondary winding in amperes

Ohmic resistance of the secondary winding

Results

Copper Loss0.000e+0WTotal copper loss in the transformer in watts