A Fast Multiobjective Optimization Strategy for Single-Axis Electromagnetic MOEMS Micromirrors

Micro-opto-electro-mechanical (MOEMS) micromirrors are an enabling technology for mobile image projectors (pico-projectors). Low size and low power are the crucial pico-projector constraints. In this work, we present a fast method for the optimization of a silicon single-axis electromagnetic torsion...

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Main Authors: Francesco Pieri, Alessandro Cilea
Format: Article
Language:English
Published: MDPI AG 2017-12-01
Series:Micromachines
Subjects:
Online Access:https://www.mdpi.com/2072-666X/9/1/2
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author Francesco Pieri
Alessandro Cilea
author_facet Francesco Pieri
Alessandro Cilea
author_sort Francesco Pieri
collection DOAJ
description Micro-opto-electro-mechanical (MOEMS) micromirrors are an enabling technology for mobile image projectors (pico-projectors). Low size and low power are the crucial pico-projector constraints. In this work, we present a fast method for the optimization of a silicon single-axis electromagnetic torsional micromirror. In this device, external permanent magnets provide the required magnetic field, and the actuation torque is generated on a rectangular multi-loop coil microfabricated on the mirror plate. Multiple constraints link the required current through the coil, its area occupancy, the operating frequency, mirror suspension length, and magnets size. With only rather general assumptions about the magnetic field distribution and mechanical behavior, we show that a fully analytical description of the mirror electromagnetic and mechanical behavior is possible, so that the optimization targets (the assembly size, comprising the mirror and magnets, and the actuation current) can be expressed as closed functions of the design parameters. Standard multiobjective optimization algorithms can then be used for extremely fast evaluation of the trade-offs among the various optimization targets and exploration of the Pareto frontier. The error caused by model assumptions are estimated by Finite Element Method (FEM) simulations to be below a few percent points from the exact solution.
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spelling doaj.art-64597a5087ad4895a1c19990b1cfeab92022-12-21T19:12:00ZengMDPI AGMicromachines2072-666X2017-12-0191210.3390/mi9010002mi9010002A Fast Multiobjective Optimization Strategy for Single-Axis Electromagnetic MOEMS MicromirrorsFrancesco Pieri0Alessandro Cilea1Department of Information Engineering, Università di Pisa, 56122 Pisa, ItalyDepartment of Information Engineering, Università di Pisa, 56122 Pisa, ItalyMicro-opto-electro-mechanical (MOEMS) micromirrors are an enabling technology for mobile image projectors (pico-projectors). Low size and low power are the crucial pico-projector constraints. In this work, we present a fast method for the optimization of a silicon single-axis electromagnetic torsional micromirror. In this device, external permanent magnets provide the required magnetic field, and the actuation torque is generated on a rectangular multi-loop coil microfabricated on the mirror plate. Multiple constraints link the required current through the coil, its area occupancy, the operating frequency, mirror suspension length, and magnets size. With only rather general assumptions about the magnetic field distribution and mechanical behavior, we show that a fully analytical description of the mirror electromagnetic and mechanical behavior is possible, so that the optimization targets (the assembly size, comprising the mirror and magnets, and the actuation current) can be expressed as closed functions of the design parameters. Standard multiobjective optimization algorithms can then be used for extremely fast evaluation of the trade-offs among the various optimization targets and exploration of the Pareto frontier. The error caused by model assumptions are estimated by Finite Element Method (FEM) simulations to be below a few percent points from the exact solution.https://www.mdpi.com/2072-666X/9/1/2Micro-electro-mechanical systems (MEMS)MOEMSmicromirrorsmultiobjective optimizationpico-projectorsmagnetic actuation
spellingShingle Francesco Pieri
Alessandro Cilea
A Fast Multiobjective Optimization Strategy for Single-Axis Electromagnetic MOEMS Micromirrors
Micromachines
Micro-electro-mechanical systems (MEMS)
MOEMS
micromirrors
multiobjective optimization
pico-projectors
magnetic actuation
title A Fast Multiobjective Optimization Strategy for Single-Axis Electromagnetic MOEMS Micromirrors
title_full A Fast Multiobjective Optimization Strategy for Single-Axis Electromagnetic MOEMS Micromirrors
title_fullStr A Fast Multiobjective Optimization Strategy for Single-Axis Electromagnetic MOEMS Micromirrors
title_full_unstemmed A Fast Multiobjective Optimization Strategy for Single-Axis Electromagnetic MOEMS Micromirrors
title_short A Fast Multiobjective Optimization Strategy for Single-Axis Electromagnetic MOEMS Micromirrors
title_sort fast multiobjective optimization strategy for single axis electromagnetic moems micromirrors
topic Micro-electro-mechanical systems (MEMS)
MOEMS
micromirrors
multiobjective optimization
pico-projectors
magnetic actuation
url https://www.mdpi.com/2072-666X/9/1/2
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