Technical Analysis: Transformer Thermal Management and Life Expectancy

The reliability and operational lifespan of a power transformer are primarily governed by its insulation system. Heat is the most significant factor in the degradation of these materials. Understanding the relationship between magnetic flux, temperature rise, and the aging of insulation is essential for modern power system asset management.

1. Primary Causes of Transformer Overheating

Transformer overheating occurs when the heat generated by internal losses exceeds the cooling capacity of the system.

A. Magnetic Saturation and Electrical Factors

  • Over-voltage or $V/f$ Anomaly (Over-excitation): According to Faraday’s Law, magnetic flux ($\Phi$) is proportional to the ratio of Voltage ($V$) to Frequency ($f$).
  • If Voltage increases or Frequency decreases, the magnetic flux density ($B$) rises.
  • Once $B$ exceeds the saturation point of the core, stray flux increases sharply, causing massive eddy currents in the core, clamps, and tank walls.
  • Note: Low voltage does not cause saturation; it is the high $V/f$ ratio that leads to core overheating.
  • Continuous Overloading: Increases conductor losses ($I^2R$) proportionally to the square of the current.
  • Harmonic Distortion: Non-linear loads induce higher-frequency currents, significantly increasing eddy current losses and skin effect heating.

$字號更改後示意:

  • Over-voltage or \(V/f\) Anomaly (Over-excitation): According to Faraday’s Law, magnetic flux (\(\Phi\)) is proportional to the ratio of Voltage (\(V\)) to Frequency (\(f\)).
  • 算式示意:

    $$Z_{base1} = \frac{V_{base1}^2}{S_{base}} = \frac{2400^2}{50000} = \frac{5,760,000}{50,000} = 115.2 \ \Omega$$

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