Efficient modeling approach for optimization of a system based on passive diamagnetic levitation as a platform for bio‐medical applications

Abstract

Purpose

This paper aims to present a modeling approach of diamagnetic microsystems for design and optimization requirements. It is demonstrated on the stabilisation optimization of a diamagnetic levitation system for biomedical applications.

Design/methodology/approach

Surface approach was used to compute analytically the magnetic field induction. This modeling is depending on system to design (approximation, equation simplifications due to specific geometries) coupled with a design framework which is based on symbolic equation derivation and SQP constrained optimization algorithm.

Findings

Optimally stabilized magnetic levitating systems, for a pyrolitic graphite micro plate and for a latex bead.

Research limitations/implications

The analytical or semi‐analytical modeling of magnetic field induction and forces produced by complex geometries is sometimes either hard to establish or not adequate to perform a fast optimization, due to heavy numerical parts implemented into the device modeling.

Practical implications

Implications are of two kinds. First are results of the magnetic levitating system which can improve lab on a chip for biomedical applications. Second is design framework improvement with diamagnetic modeling capabilities.

Originality/value

Stability optimization of diamagnetic levitation system, based on an original approach of modeling and sizing with dedicated tools.

Citation

Chetouani, H., Delinchant, B. and Reyne, G. (2007), "Efficient modeling approach for optimization of a system based on passive diamagnetic levitation as a platform for bio‐medical applications", COMPEL - The international journal for computation and mathematics in electrical and electronic engineering, Vol. 26 No. 2, pp. 345-355. https://doi.org/10.1108/03321640710727700