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have simulated the below airgap problems to work out the flux density in the air

ID: 2081010 • Letter: H

Question

have simulated the below airgap problems to work out the flux density in the airgaps. Original Model Modified model Flux density in airgap Approximate %Difference between airgap Flux density approximate values (T) values original model 2A 0.246 0.251 Original model 6 A 0.610 0.754 19.10% Modified model 6 A 0.732 0.754 2.92%. Please could someone explain why my approximate values are not the same as the real simulated values for the flux density in the airgap of my original model at 6 Ar also why is my modified model shown above close to the approximate values and why is my original model at 2 A close to the approximate values. Below is the equation I used to get approximate values of the flux density HoNa

Explanation / Answer

for magnetoquasistatic problems with non linear material reluctivity depends on the unknown vector potential resulting in a nonlinear system of equations

The relation between material values and flux density is commonly given by discrete characterstics which are not representable by simple operators like above formula which is just approximate formula

To solve such a non linear system the equation is linearized into sequence of linear problems

the methods are 1. successive approximation technique , newton raphson method and finite element method

the simulation softwares are used these methods so they give accurate