Skip to content
Licensed Unlicensed Requires Authentication Published by Oldenbourg Wissenschaftsverlag March 25, 2021

Monte Carlo method for the reduction of measurement errors in the material parameter estimation with cavities

Monte-Carlo-Methode zur Verringerung von Messfehlern bei der Materialparameterbestimmung mit Hohlraumresonatoren
Ronny Peter

Ronny Peter received the M. Sc. and Dr.-Ing. degrees from the University of Bayreuth, Bayreuth, Germany, in 2016 and 2020, respectively. Since 2016 he is with the Chair of Measurement and Control Systems, University of Bayreuth. His current research interests include resonant measurement systems and their applications, nondestructive testing and modeling.

ORCID logo EMAIL logo
, Luca Bifano

Luca Bifano received the M. Sc. degree from the University of Bayreuth, Bayreuth, Germany, in 2018. Since 2018 he is with the Chair of Measurement and Control Systems, University of Bayreuth, Bayreuth, Germany. His current research interests include impedance measurement systems and their applications in field of bulk materials with the focus on foundry industry.

and Gerhard Fischerauer

Gerhard Fischerauer received the Dipl.-Ing. and Dr.-Ing. degrees from the Technical University of Munich, Munich, Germany, in 1989 and 1996, respectively. From 1990 to 2001, he was with the Microacoustics Group, Siemens Corporate Technology and Epcos, Munich, and then joined Siemens Matsushita, Munich. Since 2001, he has been the Chair of Measurement and Control Systems, University of Bayreuth, Bayreuth, Germany. His current research interests include metrology in general and sensor systems, microsensors, microwave engineering, and microacoustic device.

From the journal tm - Technisches Messen

Abstract

The quantitative determination of material parameter distributions in resonant cavities is a relatively new method for the real-time monitoring of chemical processes. For this purpose, electromagnetic resonances of the cavity resonator are used as input data for the reverse calculation (inversion). However, the reverse calculation algorithm is sensitive to disturbances of the input data, which produces measurement errors and tends to diverge, which leads to no measurement result at all. In this work a correction algorithm based on the Monte Carlo method is presented which ensures a convergent behavior of the reverse calculation algorithm.

Zusammenfassung

Die quantitative Bestimmung von Materialparameterverläufen in Hohlraumresonatoren ist eine relativ neue Methode zur echtzeitfähigen Überwachung verfahrenstechnischer Prozesse. Dazu werden elektromagnetische Resonanzen des Hohlraumresonators als Eingangsdaten für die Rückrechnung (Inversion) verwendet. Der Rückrechenalgorithmus ist allerdings empfindlich auf Störungen der Eingangsdaten, die zu Messabweichungen führen und neigt zum Divergieren, was zu gar keinem Messergebnis führt. In dieser Arbeit wird ein auf der Monte-Carlo-Methode beruhender Korrekturalgorithmus präsentiert, der für ein konvergentes Verhalten des Rückrechenalgorithmus sorgt.

Award Identifier / Grant number: 389867475

Award Identifier / Grant number: ZF4152305DB8

Funding statement: This work was funded by the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) under grant 389867475 and by the German Federal Ministry for Economic Affairs and Energy under grant ZF4152305DB8.

About the authors

Ronny Peter

Ronny Peter received the M. Sc. and Dr.-Ing. degrees from the University of Bayreuth, Bayreuth, Germany, in 2016 and 2020, respectively. Since 2016 he is with the Chair of Measurement and Control Systems, University of Bayreuth. His current research interests include resonant measurement systems and their applications, nondestructive testing and modeling.

Luca Bifano

Luca Bifano received the M. Sc. degree from the University of Bayreuth, Bayreuth, Germany, in 2018. Since 2018 he is with the Chair of Measurement and Control Systems, University of Bayreuth, Bayreuth, Germany. His current research interests include impedance measurement systems and their applications in field of bulk materials with the focus on foundry industry.

Gerhard Fischerauer

Gerhard Fischerauer received the Dipl.-Ing. and Dr.-Ing. degrees from the Technical University of Munich, Munich, Germany, in 1989 and 1996, respectively. From 1990 to 2001, he was with the Microacoustics Group, Siemens Corporate Technology and Epcos, Munich, and then joined Siemens Matsushita, Munich. Since 2001, he has been the Chair of Measurement and Control Systems, University of Bayreuth, Bayreuth, Germany. His current research interests include metrology in general and sensor systems, microsensors, microwave engineering, and microacoustic device.

References

1. R. Peter and G. Fischerauer, “In-situ measurement of permittivity distributions in reactors by cavity perturbation,” Meas. Sci. Techn., vol. 31, no. 9, Jun 2020. DOI: 10.1088/1361-6501/ab6add.Search in Google Scholar

2. L. F. Chen, Microwave Electronics: Measurement and Materials Characterization. Chichester, Hoboken, NJ: Wiley, 2004.10.1002/0470020466Search in Google Scholar

3. R. Peter and G. Fischerauer, “De-embedding method for strongly coupled cavities,” IEEE Trans. Microwave Theory Techn., vol. 66, no. 4, pp. 2025–2033, Apr 2018. DOI: 10.1109/TMTT.2018.2791934.Search in Google Scholar

4. R. Peter and G. Fischerauer, “Measurement of axially inhomogeneous permittivity distributions in resonant microwave cavities,” IEEE Trans. Microw. Theory Tech., vol. 67, no. 6, pp. 2433–2442, Jun 2019. DOI: 10.1109/TMTT.2019.2910177.Search in Google Scholar

5. F. Sbrazzi, P. Faraldi, and A. Soldati, “Appraisal of three-dimensional numerical simulation for sub-micron, particle deposition in a microporous ceramic filter”, Chem. Eng. Sci., vol. 60, no. 23, pp. 6551–6563, Dec 2005.10.1016/j.ces.2005.05.038Search in Google Scholar

6. G. S. Fishman, Monte Carlo: Concepts, Algorithms, and Applications. New York: Springer, 1995.Search in Google Scholar

7. S. A. Dyer (Ed.), Survey of Instrumentation and Measurement. New York: John Wiley & Sons, 2001.Search in Google Scholar

8. R. Peter and G. Fischerauer, “Homodyne vector network analysis as a tool for the real-time measurement of electrical material parameter distributions in the field,” TM. Tech. Mess., vol. 87, no. 3, Mar 2020. DOI: 10.1515/teme-2019-0139.Search in Google Scholar

Received: 2021-01-08
Accepted: 2021-03-01
Published Online: 2021-03-25
Published in Print: 2021-05-26

© 2021 Walter de Gruyter GmbH, Berlin/Boston

Downloaded on 9.12.2022 from https://www.degruyter.com/document/doi/10.1515/teme-2021-0001/html
Scroll Up Arrow