Temperature-Dependent B-H Curves

While a material’s temperature dependency can be specified via the thermal modifier, which is described in terms of a mathematical expression, this might not be good enough for applications where it is difficult to describe the temperature dependency in terms of an expression. For such cases, an alternative method is available to let users directly input data for multiple, temperature-dependent, B-H curves. Maxwell uses this data to derive a corresponding B-H curve for each specified temperature using an interpolation algorithm as follows:

Suppose there are m temperature dependent curve inputs in the form of:

Where T₀, T_k, and T_m …(T₀ < T_k < T_m) are reference temperatures at which B-H curves were measured.

The number of (b,h) pairs in each BH curve can be different.

In Maxwell, if the local temperature of temperature-dependent nonlinear magnetic material is T.. , the local B-H curve can be obtained by interpolation:

If T ≤ T₀, B-H curve input at temperature T₀ is applied.

If T ≥ T_m, B-H curve input at temperature T_m is applied.

If T_k < T < T_k+1, (h_i, b_i) pairs are calculated as:

For a given h_i, b_k,i, and b_k+1, i is the magnetic flux densities obtained from inputted B-H curves at temperatures T_k , T_k+1, and b_i is obtained by interpolation:

Related Topics 

Setting a Thermal Modifier

Adding Datasets

View/ Edit Materials Window

Set Ambient Temperature