Does the Hysteresis Curve Area Reflect Total Energy Loss?

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SUMMARY

The discussion centers on the relationship between the hysteresis curve area and total energy loss in transformers. It is established that the area enclosed by the hysteresis curve represents the energy loss per unit volume due to hysteresis effects, specifically the energy required to reverse domain orientation in ferromagnetic materials. Additionally, the presence of eddy currents, which are induced by alternating current and lead to I²R losses, also contributes to energy dissipation. The consensus indicates that the hysteresis curve area does not encompass the total energy loss, as it primarily reflects hysteresis loss rather than I²R dissipation.

PREREQUISITES
  • Understanding of transformer operation and AC current principles
  • Knowledge of ferromagnetic materials and domain theory
  • Familiarity with hysteresis curves and their significance in magnetic materials
  • Basic concepts of eddy currents and I²R losses in electrical circuits
NEXT STEPS
  • Research the impact of frequency on eddy current losses in transformers
  • Study the characteristics of different ferromagnetic materials used in transformer cores
  • Explore methods to minimize hysteresis and eddy current losses in electrical devices
  • Learn about the calculation of energy losses in transformers using hysteresis and eddy current models
USEFUL FOR

Electrical engineers, transformer designers, and students studying electromagnetic theory will benefit from this discussion, particularly those focused on energy efficiency in magnetic materials.

jdstokes
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Hi all,

I'm having a problem with this subject and I was wondering if anyone could confirm/comment on my understanding.

As I understand it, in a typical transformer, an AC current is supplied to a primary coil which induces an oscillating flux within the core. If the core is made of a ferromagnetic material, then there is an energy loss due to the work required to reverse domain orientation in each cycle of the hysteresis curve. In non-ideal ferromagnets, eddy currents are also induced within the core, which, by Lenz's law, act to lower the applied magnetic field which created them. Hence if the oscillator frequency is increased, more eddy currents are induced in the core lowering the effect of the applied field and thus increasing the coercive force. The associated energy loss due to I^2 R heating is reflected in the widening of the hysteresis curve, the area of which corresponds to the energy loss per unit volume of the core in each cycle. This point I am particularly unsure on, does the area enclosed by the hysteresis curve correspond to the total energy loss (hysteresis loss + I^2 R dissipation) or just the energy required to flip the domains?

Thanks

James
 
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The hysteresis curve depends on the iron in the core, and is unchanged.
The I^2R eddy current loss is just like I^2R loss iln the secondary circuit.
 

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