We report a hybrid particle filter for measurement of specific heat, cp, and thermal conductivity, κ, of a micro- or nanowire using the well-known 3ω method. In the 3ω method, current at frequency ω is passed through the sample, and the 3ω component of the voltage response is measured. The data analysis approach used by previous authors neglects time-varying and higher-order terms in a series expansion of the 1D transient heat equation. This approximation is inaccurate at high currents and high frequencies. We remove this source of estimation error with a transient electrothermal finite element model. A Kalman filter estimates the temperature distribution in the wire, while a particle filter estimates κ and cp. Experiments on a ∼ 30 μm diameter platinum wire confirm that current and frequency sensitivity are reduced using our approach. Furthermore, our method is applicable to compensation of other geometric and material effects that cannot be handled by the previous formulation.
- Dynamic Systems and Control Division
A Hybrid Particle Filter for Dynamic Thermal Characterization of Metallic Micro- and Nanowires Using the 3ω Method
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Cepak, J, Myasishchev, D, Berg, JM, & Holtz, M. "A Hybrid Particle Filter for Dynamic Thermal Characterization of Metallic Micro- and Nanowires Using the 3ω Method." Proceedings of the ASME 2012 5th Annual Dynamic Systems and Control Conference joint with the JSME 2012 11th Motion and Vibration Conference. Volume 1: Adaptive Control; Advanced Vehicle Propulsion Systems; Aerospace Systems; Autonomous Systems; Battery Modeling; Biochemical Systems; Control Over Networks; Control Systems Design; Cooperative and Decentralized Control; Dynamic System Modeling; Dynamical Modeling and Diagnostics in Biomedical Systems; Dynamics and Control in Medicine and Biology; Estimation and Fault Detection; Estimation and Fault Detection for Vehicle Applications; Fluid Power Systems; Human Assistive Systems and Wearable Robots; Human-in-the-Loop Systems; Intelligent Transportation Systems; Learning Control. Fort Lauderdale, Florida, USA. October 17–19, 2012. pp. 633-640. ASME. https://doi.org/10.1115/DSCC2012-MOVIC2012-8650
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