What are the units for the hysteresis coefficient in transformer losses?

In summary, the conversation discusses hysteresis losses in transformers and the units for the coefficient in the hysteresis loss formula. The formula is typically rearranged to calculate units in JsT^-1.6, but there is uncertainty about whether this still applies due to the power of 1.6. The hysteresis loss formula is Ph=lh*B^n*f, where B is in Tesla, n is between 1.6 and 1.8, lh is a material property, and f is the frequency. For further information, the source "MAGNETIC CIRCUITS.pdf" and chapter 1.8 on hysteresis loss are recommended.
  • #1
entity314
7
0
I'm working with hysteresis losses in transformers at the moment, and I was wanting to know if there are units for the coefficient.

Normally, I'd just rearrange the equation for units, below,

h=ηB1.6f
η=hf-1B-1.6
so it would have units
JsT-1.6

However, given the power of 1.6, I'm not sure it still works like this. Does anyone know the units for it?
 
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  • #2
Hysteresis loss [for instance] formula :

Ph=lh*B^n*f Watt/m^3 where:

B in Tesla=Wb/m^2

n=1.6 to 1.8

lh is a property of material about 500 for 4% silicon steel or 3000 for cast iron.

f=50 or 60 Hz

See [for instance]:

https://www.physicsforums.com/file:///C:/Users/user/Downloads/MAGNETIC%20CIRCUITS.pdf

ch.1.8 Hysteresis loss
 
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Related to What are the units for the hysteresis coefficient in transformer losses?

1. What is a hysteresis coefficient unit?

A hysteresis coefficient unit is a measure of the difference between two values in a system, typically used in physics and engineering. It is a unitless quantity that represents the amount of energy lost or dissipated in a system due to friction or other factors.

2. How is hysteresis coefficient measured?

Hysteresis coefficient is typically measured experimentally by plotting a graph of input and output values of a system and calculating the area between the curves. This area represents the amount of energy lost in the system and is expressed in the unit of hysteresis coefficient.

3. What is the significance of hysteresis coefficient in materials?

In materials, hysteresis coefficient is an important factor in understanding the behavior of ferromagnetic materials, such as iron and nickel. These materials exhibit hysteresis, meaning that their magnetic properties depend on the history of the magnetic field they have been exposed to. The hysteresis coefficient helps to quantify this behavior and is crucial in designing materials for specific applications.

4. Can hysteresis coefficient be negative?

No, hysteresis coefficient is always a positive value as it represents energy loss in a system. Negative values would indicate energy gain, which is not possible in a hysteresis process.

5. How can hysteresis coefficient be used in engineering applications?

Hysteresis coefficient is commonly used in engineering to analyze and design systems that involve energy dissipation, such as brakes, dampers, and magnetic circuits. By understanding the hysteresis behavior of a material, engineers can optimize the design and performance of these systems.

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