Transformer loss calculation - Solutions - Huaqiang Electronic Network

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Let's explore some essential formulas for calculating transformer losses. These equations are useful in real-world applications and can help optimize performance and efficiency. The higher the uniform load factor of the load curve, the lower the loss power and the smaller the loss ratio. Conversely, a lower load factor results in higher loss power and a larger loss ratio. To find the optimal efficiency, multiply the uniform load factor by a value greater than 1, typically between 1 and 1.3, and then calculate the loss ratio using βb = (1/R)^½.

Here are the key formulas for transformer loss calculation:

  1. Active Power Loss: ΔP = P₀ + K_T * β² * P_K
  2. Reactive Power Loss: ΔQ = Q₀ + K_T * β² * Q_K
  3. Comprehensive Power Loss: ΔP_Z = ΔP + K_Q * ΔQ

Where:

  • Qâ‚€ ≈ Iâ‚€% * S_N
  • Q_K ≈ U_K% * S_N
  • Pâ‚€: No-load loss (kW)
  • PK: Rated load loss (kW)
  • S_N: Transformer rated capacity (kVA)
  • Iâ‚€%: No-load current percentage
  • U_K%: Short-circuit voltage percentage
  • β: Uniform load factor
  • K_T: Load fluctuation loss factor
  • Q_K: Rated load leakage magnetic power (kvar)
  • K_Q: Reactive economy equivalent (kW/kvar)

When applying these formulas, consider the following parameters:

  1. K_T is usually taken as 1.05.
  2. For urban and industrial power grids, when calculating the minimum load of a 6kV–10kV step-down transformer, K_Q = 0.1 kW/kvar.
  3. The uniform load factor β is 20% for agricultural transformers and 75% for industrial enterprises with three shifts.
  4. Transformer operation hours T = 8760 hours, and maximum load loss hours t = 5500 hours.
  5. P₀, PK, I₀%, and U_K% should be obtained from the transformer’s technical specifications.

Understanding these calculations helps engineers make better decisions regarding transformer selection and system design. Proper application of these formulas ensures more efficient energy use and reduced operational costs in electrical systems.

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