# Parametric analysis: examples

## Example 1: a geometric parametrized analysis

We are interested in the influence of geometric dimensions of a magnetic circuit. The geometry of the studied device is described with geometric parameters.

A parametrized analysis of this type requires the following steps:

• definition of a variable quantity: e.g., air-gap

• definition of the variation mode of this quantity: e.g., air-gap values of 0.7, 0.9, 1.1, and 1.3 mm

• successive solving processes to obtain: the 4 solutions for the 4 values of the air-gap

• results analysis on the 4 computed solutions: e.g., force on a piece as function of the air-gap value, etc.

## Example 2: a physical parameterized analysis

We are interested in the influence of magnetic properties of the material of a magnetic circuit. The material is characterized by a B(H) curve, defined by two values, the initial relative permeability μr and the saturated magnetization JS.

A varying analysis of this type presumes the following steps:

• definition of a variable quantity: e.g., the initial relative permeability μr

• definition of the variation mode of this quantity: e.g., values 100, 1000 and 4000 of μr

• successive solving processes to obtain: the 3 solutions for the 3 values of μr

• results analysis on the 3 computed solutions: e.g., force on a piece as function of the μr value, etc.

## Example 3: time dependent study

We are interested in the force acting on the mobile part of a contactor after supplying the coil.

A varying analysis of this type presumes the following steps:

• definition of the time dependence of the current in the coil: function i(t)

The current form is defined with a step type function i(t):

• i(t) = 0, for t < 0.02 s

• i(t) = 25 A, for t > 0.02 s

• definition of the variation mode of the time variable, e.g., number of time steps and value of the time interval

• successive solving processes to obtain the set of solutions corresponding to the defined time steps

• results analysis on the set of computed solutions, e.g., force on a piece as function of time, etc.