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How to find Area of Hysteresis?

https://en.wikipedia.org/wiki/Hysteresis#/media/File:Ehysteresis.PNG

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- Thread starter SDRFG
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How to find Area of Hysteresis?

https://en.wikipedia.org/wiki/Hysteresis#/media/File:Ehysteresis.PNG

- #2

Simon Bridge

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welcome to PF;

hint: use calculus.

hint: use calculus.

- #3

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how to use calculus here i have never done .

- #4

SteamKing

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Then why do you need to know the area of the hysteresis loop?how to use calculus here i have never done .

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Then why do you need to know the area of the hysteresis loop?

I have studied calculus but no idea how too apply ?

- #6

Simon Bridge

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That is pretty much the definition of "integration".

Perhaps if you ptovided an example?

- #7

billy_joule

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- #8

Nidum

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To use calculus you need to find the equations of curves which are best fit to the plot curves . There are standard ways of doing this .

Alternatively you can use numerical methods . There are standard ways of doing this also .

- #9

Nidum

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(1) Overlay the plot onto squared paper . Count the number of squares enclosed by the loop . Use a rule to decide when to include or exclude partial squares .

(2) Divide the plot into many slices with equally spaced horizontal or vertical lines . Estimate the area in each slice and sum .

(3) If you want to get more sophisticated look up : Trapezium Rule , Simpson's Rule and Gaussian Quadrature .

(Have a look at Gaussian Quadrature anyway for general interest - it is fascinating how a very small number of ordinate samples can give very accurate answers)

- #10

Nidum

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There are downloadable apps for working out areas enclosed by curves .

- #11

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OK, How to find equation of curve?

- #12

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hello i understand planimeter

- #13

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http://ncert.nic.in/ncerts/l/leep208.pdf

how to get equation of hysteresis and what is hysteris in op amp?

- #14

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- #15

Nidum

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http://uk.mathworks.com/products/curvefitting/

http://uk.mathworks.com/videos/curve-fitting-toolbox-overview-61198.html

(You can do the integration in Mathworks as well if you want to)

The moderately easy way :

Choose simple functions which give the right sort of curve shapes to fit your plot and scale them to best fit . Sometimes easier to break plot curve into segments and use different functions for each segment .

Commonly used functions : linear , polynomial , exponential and sine/cosine .

Slightly more formal way :

https://en.wikipedia.org/wiki/Curve_fitting#Fitting_lines_and_polynomial_functions_to_data_points

- #16

Nidum

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Probably best to open a new thread if you want to ask further questions about op amps .

- #17

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hello,

How to drawn second degree polynomial, like this?

How to drawn second degree polynomial, like this?

- #18

NascentOxygen

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SDRFG, can you attach a neat plot of your hysteresis loop, with the measured points clearly shown?How to drawn second degree polynomial, like this?

Do you intend using a software package to find a polynomial of best fit? (I expect wolfram alpha would do this for you.)

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i want to learn by hand in paper

- #20

NascentOxygen

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Please attach your plot.i want to learn by hand in paper

- #21

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- #22

NascentOxygen

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That's okay. It's obviously a matter that piqued your interest at the time, and you kept it in mind should the opportunity later present itself to pursue it further.

Here's your opportunity. What would you like to do in this thread at this point?

- #23

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At class i was not aware of it, but while teaching for few days on it it attract me.Here's your opportunity. What would you like to do in this thread at this point?

and without this basic i cant move further it involve practical math.

- #24

NascentOxygen

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You are happy with the answers you have received so far? Can we assist you further?

- #25

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yes, i get my answer you can assist further.

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