Application of a non-linear Method of Moments to predict microfluxgates output

Method for modelling of fluxgate sensor including the geometry influence

“…We are interested in the calculus of the effect by the external field. We analysed the fluxgate with the numerical integral equation method [10][11][12][13][14] which has been extensively used in theoretical studies and in numerical analysis. Compared with finite element and finite difference methods of field solution, the air region does not have to be discretised with the integral equation method, mesh generation is, in general, very easy.…”

“…The total magnetic field intensity H With the integral equation method [10][11][12][13][14], only the ferromagnetic core has to be discretised, assuming the core is meshed into n elements. The conditions used in this analysis are as follows: (i) the magnetisation is assumed as uniform in each element and (ii) the magnetic charge is assumed to occur only at surface of the element.…”

“…For most fluxgates, the ellipsoidal core is not used; therefore, it is necessary to set up a more accurate fluxgate SPICE model when the magnetic field is not uniform in the core. Experiment of a micro-fluxgate made up of two separated permalloy (Fe 20 Ni 80 ) parallelepiped cores [10] indicates that the model with demagnetisation factor is inaccurate and the numerical integral method has a good agreement with measurements.…”

Optimisation of Frame-Shaped Fluxgate Sensor Core made of Amorphous Alloy Using Generalized Magnetostatic Method of Moments

“…Calculation of the distribution of flux density B m in the core is not a trivial task. Due to the problems with application of finite elements method for this purpose (connected with the radical increase of the number of elements in the mesh for the thin layers [6][7][8]), the method of moments should be applied. Generalization of the method of moments for thin layers is presented elsewhere [9].…”