Control Methods for Weighing Instruments Based on Electromagnetic Force Compensation: A State-of-the-Art Review
Keywords:
EMFC weighing systems, EMFC control weighing cell systems, EMFC weighing load cell, EMFC load cell, EMFC dynamic weighing systemsAbstract
This study presents a systematic review of control methods for electromagnetic force compensation (EMFC) weighing cells, a technology extensively employed in high-accuracy weighing instruments across various industrial and scientific sectors. The research was conducted following a structured methodology applied to recognized scientific databases, covering publications from the past decade. The analysis identifies trends and recurring approaches in control design aimed at ensuring stability, accuracy, and high dynamic performance. The results indicate that achieving higher levels of accuracy requires more robust control methods, where the performance of the electronic subsystem—comprising the optical sensor, data acquisition system, and digital controller—has a decisive impact compared to mechanical improvements. It is concluded that, in the simulated and experimental evaluations reported in the literature, no study has conducted a complete calibration of the EMFC load cell weighing instrument or validated it in an industrial environment. This gap highlights the need for future research to include validations under real operating conditions and to carry out follow-up assessments that enable evaluation of the instrument’s metrological drift over a specified time period.
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SIM, Guidelines on the Calibration of non-automatic weighing instruments with resolution less than 0.010 mg, SIM MWG7/cg-04/v.00, 2025. [Online]. Available: https://sim-metrologia.org/wp-content/uploads/2025/03/GUIA-MICROBALANZAS-2025-03-11_Ingles.pdf
OIML, R50-1 Edition 2014 (E), Continuous totalizing automatic weighing instruments (belt weighers) – Part 1: Metrological and technical requirements, reconfirmed in 2024. International Organization of Legal Metrology (OIML), 2014, [Online]. Available: https://www.oiml.org/en/publications/recommendations/publication_view?p_type=1&p_status=1
OIML, R60-1 Edition 2021 (E), Metrological regulation for load cells. Part 1: Metrological and technical requirements, International Organization of Legal Metrology (OIML), 2021. [Online]. Available: https://www.oiml.org/en/publications/recommendations/publication_view?p_type=1&p_status=1
P. Tutak, “Application of strain gauges in measurements of strain distribution in complex objects,” JACSM, vol. 6, no. 2, pp. 135–145, 2014, doi: 10.1515/jacsm-2015-0004.
A. Qandil and A. I. O. Zaid, “Considerations in the design and manufacturing of a load cell for measuring dynamic compressive loads,” in Proc. 2nd Int. Conf. Power Generation Systems and Renewable Energy Technologies (PGSRET), Islamabad, Pakistan, Jun. 10-11, 2015, doi: 10.1109/PGSRET.2015.7312209.
M. H. M. Diah, M. H. F. S. Hazimin, N. A. S. Noramli, and H. A. Rahim, “Strain gauge sensors in industrial instrumentation: A review for human technology integration,” Journal of Human Centered Technology, vol. 4, no. 1, pp. 50–55, 2025, doi: 10.11113/humentech.v4n1.97.
V. A. Kamble, V. D. Shinde, and J. K. Kittur, “Overview of load cells,” Journal of Mechanical and Mechanics Engineering, vol. 6, no. 3, pp. 22–29, 2020. [Online]. Available:
https://www.researchgate.net/publication/355370308_Overview_of_Load_Cells
N. Shinozaki, K. Okamoto, M. Ikeshima, K. Terunuma, and K. Naito, “Performance of ‘tuning fork’ load cells”, OIML Bulletin, vol. 56, no. 1, pp. 20–27, 2015. [Online]. Available:
https://www.oiml.org/en/publications/bulletin/pdf/oiml_bulletin_jan_2015.pdf
A. S. Morris and R. Langari, Measurement and Instrumentation: Theory and Application, 3rd ed. London, U.K.: Academic Press, 2021, ch. 18, “Mass, force, and torque measurement.” [Online]. Available: https://mrce.in/ebooks/Measurement%20&%20Instrumentation%20Theory%20&%20Application%203rd%20Ed.pdf
J. Lewandowski, “Inductive sensor for weighing of mass,” Metrology and Measurement Systems, vol. 18, no. 2, pp. 323–334, 2011, doi: 10.2478/v10178-011-0014-9.
A. Abu Al Aish and M. Rehman, “Development of a capacitive mass measuring system,” Sensors and Actuators A: Physical, vol. 151, pp. 113–117, 2009, doi: 10.1016/j.sna.2009.02.023.
L. Cheng, H. Zhang, and Q. Li, "Design of a capacitive flexible weighing sensor for vehicle WIM system," Sensors, vol. 7, pp. 1530–1544, 2007, doi: 10.3390/s7081530.
M. A. Mangi, H. Elahi, A. Ali, H. Jabbar, A. B. Aqeel, A. Farrukh, et al., “Applications of piezoelectric-based sensors, actuators, and energy harvesters,” Sensors and Actuators Reports, vol. 9, 2025, doi: https://doi.org/10.1016/j.snr.2025.100302.
M. Khalili, G. Vishwakarma, S. Ahmed, and A. T. Papagiannakis, “Development of a low-power weigh-in-motion system using cylindrical piezoelectric elements,” International Journal of Transportation Science and Technology, vol. 11, pp. 496–508, 2022, doi: 10.1016/j.ijtst.2021.06.004.
K. Fritsch, “Metrology of weighing in the pharmaceutical industry,” Measurement: Sensors, vol. 18, 2021, doi:
1016/j.measen.2021.100262.
J. Konijnenburg, L. Minnich, K. A. Lippa, T. Pandya, and J. Willis, “Certification approaches for weigh-in-motion systems in law enforcement applications,” NIST Special Publication 2200-05, National Institute of Standards and Technology, 2024, doi: 10.6028/NIST.SP.2200-05.
OIML, R 134-1 Edition 2006 (E), Automatic instruments for weighing road vehicles in motion and measuring axle loads. Part 1: Metrological and technical requirements – Tests, International Organization of Legal Metrology (OIML), 2006. [Online]. Available:
https://www.oiml.org/en/files/pdf_r/r134-1-e06.pdf
S. V. Gupta, Mass metrology: The newly defined kilogram, 2nd ed., vol. 155, Springer Series in Materials Science, 2019, doi: 10.1007/978-3-030-12465-6.
EURAMET, Calibration Guide No. 19, Guidelines on the determination of uncertainty in gravimetric volume calibration, version 3.0, Sept. 2018. [Online]. Available: https://www.euramet.org/publications-media-centre/calibration-guidelines
ISO 8655-6:2022, Piston-operated volumetric apparatus - Part 6: Gravimetric reference measurement procedure for the determination of volume, 2nd ed., International Organization for Standardization, 2022. [Online]. Available:
https://www.iso.org/es/contents/data/standard/07/52/75211.html?browse=tc
C. Kroner, H. Warnecke, O. Büker, K. Stolt, P. Wennergren, G. Hagemann, et al., “Metrology for reliable fuel consumption measurements in the maritime sector,” Measurement, vol. 226, 2024, doi: 10.1016/j.measurement.2024.114161
E. Bulska, Metrology in chemistry, Lecture Notes in Chemistry, vol. 101, Springer, 2018, doi: 10.1007/978-3-319-99206-8.
A. A. Eltawil, A. S. Desoky, and S. A. Gelany, “Performance evaluation of weighing instruments: A comparative study of different calibration sequences,” Journal of Measurement Science and Applications, JMSA, vol. 4, 2024, doi: 10.21608/JMSA.2024.360341.
EURAMET, Calibration Guide No. 18, Guidelines on the calibration of non-automatic weighing instruments, version 4.0, Nov. 2015. [Online]. Available: https://www.euramet.org/publications-media-centre/calibration-guidelines
OIML, R 51-1 Edition 2006 (E), Automatic catchweighing instruments. Part 1: Metrological and technical requirements – Tests, International Organization of Legal Metrology (OIML), 2006. [Online]. Available: https://www.oiml.org/en/publications/recommendations/en/files/pdf_r/r051-p-e06.pdf
OIML, R 76-1 Edition 2006 (E), Non-automatic weighing instruments, Part 1: Metrological and technical requirements – Tests, 2006. [Online]. Available: https://www.oiml.org/en/publications/recommendations/publication_view?p_type=1&p_status=1
P. Bhandari and P. Z. Csurcsia, “Digital implementation of the PID controller,” Software Impacts, vol. 13, Art. no. 100306, 2022, doi: 10.1016/j.simpa.2022.100306.
S. Zacher, Closed Loop Control and Management: Introduction to Feedback Control Theory with Data Stream Managers. Cham, Switzerland: Springer Nature Switzerland AG, 2022, doi: 10.1007/978-3-031-13483-8.
A. Shekhar and A. Sharma, "Review of model reference adaptive control," in Proc. 2018 International Conference on Information, Communication, Engineering and Technology (ICICET), Pune, India, 2018, pp. 1–5, doi: 10.1109/ICICET.2018.8533713.
I. R. Petersen and R. Tempo, "Robust control of uncertain systems: Classical results and recent developments," Automatica, vol. 50, pp. 1315–1335, 2014, doi: 10.1016/j.automatica.2014.02.042.
N. Touati and I. Saidi, “Internal model control for underactuated systems based on novel virtual inputs method,” Przegląd Elektrotechniczny, vol. 97, no. 9, pp. 95–99, Sep. 2021, doi: 10.15199/48.2021.09.20.
M. Schwenzer, M. Ay, T. Bergs, and D. Abel, “Review on model predictive control: an engineering perspective,” The International Journal of Advanced Manufacturing Technology, vol. 117, pp. 1327–1349, 2021, doi: 10.1007/s00170-021-07682-3.
M. G. Younis, “Optimal control of dynamical systems using calculus of variations,” Babylonian Journal of Mathematics, vol. 2023, pp. 1–6, 2023, doi: 10.58496/BJM/2023/001.
R. Qi, G. Tao, and B. Jiang, “Adaptive control: A tutorial introduction,” in Fuzzy System Identification and Adaptive Control, Communications and Control Engineering, Springer, 2019, doi: 10.1007/978-3-030-19882-4_3.
F. Shabaninia and K. Jafari, “Using LQG/LTR optimal control method to improve stability and performance of industrial gas turbine system,” ISRN Electronics, vol. 2012, Article ID 134580, 8 pages, 2012, doi: 10.5402/2012/134580.
D. Masti, M. Zanon, and A. Bemporad, “Tuning LQR controllers: A sensitivity-based approach,” IEEE Control Systems Letters, vol. 6, pp. 932-937, 2022, doi: 10.1109/LCSYS.2021.3087556.
K. Puentes, L. Morales, D. F. Pozo-Espin, and V. Moya, “Enhancing control systems with neural network-based intelligent controllers,” Emerging Science Journal, vol. 8, no. 4, pp. 1243–1261, 2024, doi: 10.28991/ESJ-2024-08-04-01.
R. Saatchi, "Fuzzy logic concepts, developments and implementation," Information, vol. 15, no. 10, 2024, doi: 10.3390/info15100656.
R. R. Marangoni, I. Rahneberg, F. Hilbrunner, R. Theska, and T. Fröhlich, “Analysis of weighing cells based on the principle of electromagnetic force compensation,” Measurement Science and Technology, vol. 28, no. 7, p. 075101, 2017, doi: 10.1088/1361-6501/aa6bcd.
H. Weis, F. Hilbrunner, T. Fröhlich, and G. Jäger, “Parametric mechatronic model of a load cell with electromagnetic force compensation,” in IMEKO TC3, TC5 and TC22 Conferences on Metrology in Modern Context, Pattaya, Chonburi, Thailand, Nov. 2010, pp. 29–32. [Online]. Available:
https://www.researchgate.net/publication/267690745
A. Amthor, I. Kaiser, N. Rogge, and H. Weiß, “Analysis, physically motivated modeling and system identification of electromagnetic force compensated balances (EMFC),” in 58th Ilmenau Scientific Colloquium, Technische Universität Ilmenau, Ilmenau, Germany, Sept. 2014. URN: nbn:de:gbv:ilm1-2014iwk-124:2. [Online]. Available:
https://www.researchgate.net/publication/271827557
C. Diethold, T. Fröhlich, F. Hilbrunner, and G. Jäger, “High precision optical position sensor for electromagnetic force compensated balances,” in IMEKO TC3, TC5 and TC22 Conferences - Metrology in Modern Context, Pattaya, Thailand, Nov. 22–25, 2010, pp. 91–94. [Online]. Available: https://www.researchgate.net/publication/259575035
N. Rogge, J. Schleichert, and C. Rothleitner, “Investigations on motion deviations of an EMFC balance,” in 59th Ilmenau Scientific Colloquium, Technische Universität Ilmenau, Sept. 11–15, 2017. [Online]. Available: http://nbn-resolving.de/urn:nbn:de:gbv:ilm1-2017iwk-068:4
H. Weis, F. Hilbrunner, T. Fröhlich, and G. Jäger, “System simulation for electromagnetic force compensated load-cells with Matlab/Simulink and ANSYS,” in ANSYS Conference and 31th CADFEM Users’ Meeting, Technische Universität Ilmenau, 2013. [Online]. Available: https://www.researchgate.net/publication/280632417_System_simulation_for_electromagnetic_force_compensated_load-cells_with_Matlab_Simulink_and_ANSYS
V. Cherkasova and T. Fröhlich, “Implementation options of control systems for a cantilever calibration device,” in Proc. IV International Conference on Control in Technical Systems, 2021, doi: 10.1109/CTS53513.2021.9562880.
N. Rogge, “Statische und dynamische charakterisierung einer Planck Waage,” Dissertation, Fakultät für Maschinenbau, Technische Universität Ilmenau, Ilmenau, Germany, 2022, doi: 10.22032/dbt.55687. [Online]. Available: urn:nbn:de:gbv:ilm1-2022000559.
J. Y. An, J. S. Choi, G. S. Lee, J. H. Ahn, and H. Y. Kim, “Influence of spring constant and electromagnetic damping coefficient on measurement performance in a checkweigher with force balance system using Voice Coil Actuator,” in Proc. IEEE Asia-Pacific Conference on Computer Science and Data Engineering (CSDE), Melbourne, VIC, Australia, Dec. 9–11, 2019, doi: 10.1109/CSDE48274.2019.9162415.
Abdullah, J.-H. Ahn, and H.-Y. Kim, “Effect of electromagnetic damping on system performance of voice-coil actuator applied to balancing-type scale,” Actuators, vol. 9, no. 1, Art. 8, 2020, doi: 10.3390/act9010008.
M. Darnieder, R. Theska, T. Fröhlich, M. Pabst, R. Wenig, and F. Hilbrunner, “Design of high-precision weighing cells based on static analysis,” in 59th Ilmenau Scientific Colloquium, Technische Universität Ilmenau, Ilmenau, Germany, Sept. 11–15, 2017. [Online]. Available: http://nbn-resolving.de/urn:nbn:de:gbv:ilm1-2017iwk-067:6
M. Darnieder, M. Wittke, M. Pabst, T. Fröhlich, and R. Theska, “Monolithic compliant mechanism for an EMFC mass comparator weighing cell,” in 60th Ilmenau Scientific Colloquium, Technische Universität Ilmenau, Sept. 4–8, 2023, doi: 10.22032/dbt.58738.
F. Hilbrunner, M. Schreiber, T. Fröhlich, T. Fehling, F. Schwesinger, and G. Krapf, “New Sartorius mass comparator for highest accuracy including fully automatic vacuum transfer system,” Measurement: Sensors, vol. 38, Supplement, 2025, doi: 10.1016/j.measen.2024.101360.
H.-H. Lee, K.-T. Yoon, and Y.-M. Choi, “Checkweigher using an EMFC weighing cell with magnetic springs and air-bearings,” Metrology and Measurement Systems, vol. 28, no. 3, pp. 465–478, 2021, doi: 10.24425/mms.2021.137135.
Y. Yamakawa and T. Yamazaki, “Simplified dynamic model for high-speed checkweigher,” Measurement of Mass, Force and Torque (APMF 2013), International Journal of Modern Physics: Conference Series, vol. 24, 1360036 (8 pages), 2013, doi: 10.1142/S2010194513600367.
Y. Yamakawa, H. Tozuka, and T. Yamazaki, “Mathematical model in dynamic mass measurement with consideration of position variation of fulcrum point,” Measurement: Sensors, vol. 18, 100164, 2021, doi: 10.1016/j.measen.2021.100164.
N. Rogge, O. Dannberg, M. Kühnel, and T. Fröhlich, “A novel EMFC tiltmeter with extended measurement range,” in IMEKO 24th TC3, 14th TC5, 6th TC16 and 5th TC22 Int. Conf., Cavtat-Dubrovnik, Croatia, Oct. 11–13, 2022, pp. 1–6, doi: 10.21014/tc3-2022.123.
O. Dannberg, “Entwicklung eines prüfstandes zur rückführbaren kalibrierung von cantilevern,” Fakultät für Maschinenbau, Technische Universität Ilmenau, 2020, URN: nbn:de:gbv:ilm1-2020000578. [Online]. Available: http://nbn-resolving.de/urn:nbn:de:gbv:ilm1-2020000578
Y. Wang, N. Rogge, S. Vasilyan, and T. Fröhlich, “Investigations on nonlinear deformation phenomena in a force calibration system,” Acta IMEKO, vol. 9, no. 5, pp. 150-155, Dec. 2020, doi: 10.21014/acta_imeko.v9i5.958.
S. Vasilyan, “High precision force measurements in horizontal direction in combination with high dead loads: Non-contact flowmeter for low conducting electrolytes,” Fakultät für Maschinenbau, Technische Universität Ilmenau, 2016, URN: nbn:de:gbv:ilm1-2016000136. [Online]. Available: http://nbn-resolving.de/urn:nbn:de:gbv:ilm1-2016000136
N. Yan, “High resolution force measurement system for Lorentz force velocimetry,” Fakultät für Maschinenbau, Technische Universität Ilmenau, 2019, URN: nbn:de:gbv:ilm1-2019000068. [Online]. Available: http://nbn-resolving.de/urn:nbn:de:gbv:ilm1-2019000068
L. Keck, “Flexure-based mechanism for a Kibble balance,” Fakultät für Maschinenbau, Technische Universität Ilmenau, 2025, URN: nbn:de:gbv:ilm1-2024000407. doi: 10.22032/dbt.63554.
J. Konrad, C. Rothleitner, S. Vasilyan, N. Rogge, R. Behr, M. Götz, et al., “Small mass value realization equivalent to accuracy class E1 using the Planck-Balance at PTB,” Metrologia, vol. 62, no. 2, p. 025014, Apr. 2025, doi: 10.1088/1681-7575/adc581.
L. Günther, C. Rothleitner, J. Schleichert, N. Rogge, S. Vasilyan, F. Härtig, et al., “The Planck-Balance – primary mass metrology for industrial applications,” in XXII World Congr. Int. Meas. Confederation (IMEKO), J. Phys.: Conf. Ser., vol. 1065, p. 042021, 2018, doi: 10.1088/1742-6596/1065/4/042021.
C. Rothleitner, N. Rogge, S. Lin, S. Vasilyan, D. Knopf, F. Härtig, et al., “Planck-Balance 1 (PB1) – a table-top Kibble balance for masses from 1 mg to 1 kg – current status,” Acta IMEKO, vol. 9, no. 5, pp. 47–52, Dec. 2020, doi: 10.21014/acta_imeko.v9i5.937.
N. Rogge, C. Rothleitner, S. Lin, S. Vasilyan, T. Fröhlich, F. Härtig, et al., “Error sources in the force mode of the “PB2” Planck-Balance,” Acta IMEKO, vol. 9, no. 5, pp. 53–57, Dec. 2020, doi: 10.21014/acta_imeko.v9i5.938.
S. Vasilyan, N. Rogge, C. Rothleitner, S. Lin, I. Poroskun, D. Knopf, et al., “The progress in development of the Planck-Balance 2 (PB2): A tabletop Kibble balance for the mass calibration of E2 class weights,” tm – Technisches Messen, vol. 88, no. 12, pp. 731–756, 2021, doi: 10.1515/teme-2021-0101.
C. Rothleitner, J. Schleichert, N. Rogge, L. Günther, S. Vasilyan, F. Hilbrunner, et al., “The Planck-Balance—using a fixed value of the Planck constant to calibrate E1/E2-weights,” Measurement Science and Technology, vol. 29, no. 7, p. 074003, 2018, doi: 10.1088/1361-6501/aabc9e.
E. Manske, T. Fröhlich, and S. Vasilyan, “Photon momentum induced precision small forces: a static and dynamic check,” Measurement Science and Technology, vol. 30, no. 10, p. 105004, Aug. 2019, doi: 10.1088/1361-6501/ab257e.
C. Rothleitner, I. Poroskun, S. Svitlov, J. Kloß, and J. Konrad, “A method for evaluating the force factor in oscillating Kibble balances with application to the Planck-Balance,” Metrologia, vol. 60, no. 5, p. 055007, Sep. 2023, doi: 10.1088/1681-7575/acef23.
F. Hilbrunner, H. Weis, T. Fröhlich, and G. Jäger, “Comparison of different load changers for EMFC-balances,” in IMEKO TC3, TC5 and TC22 Conferences Metrology in Modern Context, Pattaya, Chonburi, Thailand, pp. 65–68, Nov. 2010. [Online]. Available: https://www.imeko.org/publications/tc3-2010/IMEKO-TC3-2010-016.pdf
K. Wedrich, M. Darnieder, E. Vierzigmann, A. Barth, R. Theska, and S. Strehle, “Conceptual design of a microscale balance based on force compensation,” in Microactuators, Microsensors and Micromechanisms, MAMM 2020, Oct. 2020, doi: 10.1007/978-3-030-61652-6_9.
K. Wedrich, V. Cherkasova, V. Platl, T. Fröhlich, and S. Strehle, “Stiffness considerations for a MEMS-Based weighing cell,” Sensors, vol. 23, no. 6, p. 3342, 2023, doi: 10.3390/s23063342.
V. Cherkasova, “Traceable force calibration of micro-electro-mechanical systems,” Ph.D. dissertation, Fakultät für Maschinenbau, Technische Universität Ilmenau, 2023, URN: nbn:de:gbv:ilm1-2023000459, doi: 10.22032/dbt.59791.
H. Kurumatani, Y. Inoue, S. Nishimura, M. Isaka, R. Shimane, T. Tanaka, et al., “Vibration suppression of electromagnetic-force-restoration weighing cell using wave control,” IEEJ Journal of Industry Applications, vol. 8, no. 4, pp. 576–585, 2019, doi: 10.1541/ieejjia.8.576.
M. Darnieder, M. Pabst, T. Fröhlich, L. Zentner, and R. Theska, “Mechanical properties of an adjustable weighing cell prototype,” in euspen’s 19th International Conference and Exhibition, Bilbao, ES, June 2019. [Online]. Available:
https://www.euspen.eu/resource/mechanical-properties-of-an-adjustable-weighing-cell-prototype/
C. Diethold, F. Hilbrunner, T. Fröhlich, and E. Manske, “Nanopositioning system with combined force measurement based on electromagnetic force compensated balances,” in XX IMEKO World Congress, Metrology for Green Growth, Busan, Republic of Korea, Sept. 9–14, 2012. [Online]. Available: https://www.researchgate.net/publication/259575050
I. A. Robinson and S. Schlamminger, “The watt or Kibble balance: A technique for implementing the new SI definition of the unit of mass,” Metrologia, vol. 53, no. 5, pp. A46–A74, 2016, doi: 10.1088/0026-1394/53/5/A46.
T. Yamazaki and Y. Yamakawa, "Mathematical model of mass measurement system with consideration of fulcrum point position shift and its evaluation," Measurement: Sensors, vol. 38, Art. no. 101363, 2025, doi: 10.1016/j.measen.2024.101363.
M. Phillips, J. B. Reed, D. Zwicky, A. S. Van Epps, A. G. Buhler, E. M. Rowley, et al., “Systematic reviews in the engineering literature: A scoping review,” IEEE Access, vol. 12, pp. 62648–62663, Apr. 2024, doi: 10.1109/ACCESS.2024.3394755.
Á. J. Morales Robles, M. Ortiz Domínguez, E. Cardoso Legorreta, and A. Cruz Avilés, “Bibliometric analysis: Nitriding,” Ingenio y Conciencia Boletín Científico de la Escuela Superior Ciudad Sahagún, vol. 12, no. 23, Jan. 2025, doi: 10.29057/escs.v12i23.14102.
E. Aguilera-Cora, C. Lopezosa, J. Fernández-Cavia, and L. Codina, “Accelerating research processes with Scopus AI: A place branding case study,” Revista Panamericana de Comunicación, vol. 6, no. 1, Apr. 2024, pp. 1–26, doi: 10.21555/rpc.v6i1.3088.
R. Pranckutė, “Web of Science (WoS) and Scopus: The titans of bibliographic information in today’s academic world,” Publications, vol. 9, no. 1, article 12, Mar. 2021, doi: 10.3390/publications9010012.
N. Haupka, J. H. Culbert, A. Schniedermann, N. Jahn, and P. Mayr, “Analysis of the publication and document types in OpenAlex, Web of Science, Scopus, Pubmed and Semantic Scholar,” arXiv, arXiv:2406.15154, Jun. 2024, doi: 10.48550/arXiv.2406.15154.
S. Singh, A. Kaur, and Y. Gulzar, “The impact of augmented reality on education: a bibliometric exploration,” Frontiers in Education, vol. 9, Art. no. 1458695, 2024, doi: 10.3389/feduc.2024.1458695.
A. Tarazi, “Comparative analysis of the bibliographic data sources using PubMed, Scopus, Web of Science, and Lens,” High Yield Medical Reviews, Published online June 1, 2024, doi: 10.59707/hymrUNHW4628.
E. Orduña-Malea and R. Costas, “Link-based approach to study scientific software usage: the case of VOSviewer,” Scientometrics, vol. 126, pp. 8153–8186, 2021, doi: 10.1007/s11192-021-04082-y.
V. Cherkasova, “Modeling and development of a load cell control system with electromagnetic force compensation,” in 2019 III International Conference on Control in Technical Systems (CTS), Oct. 2019, pp. 121–125, doi: 10.1109/CTS48763.2019.8973268.
K.-T. Yoon, S.-R. Park, and Y.-M. Choi, “Electromagnetic force compensation weighing cell with magnetic springs and air bearings,” Meas. Sci. Technol., vol. 32, no. 1, Art. no. 015905, 2021, doi: 10.1088/1361-6501/abae8e.
M. Pabst, M. Darnieder, R. Theska, and T. Fröhlich, “Adjustment concept for compensating for stiffness and tilt sensitivity of a novel monolithic electromagnetic force compensation (EMFC) weighing cell,” J. Sens. Sens. Syst., vol. 11, pp. 109–116, 2022, doi: 10.5194/jsss-11-109-2022.
M. Darnieder, Design and adjustment of weighing cells for vacuum mass comparators, Dissertation, Technische Universität Ilmenau, Universitätsverlag Ilmenau, 2024, doi: 10.22032/dbt.59666.
C. Schott, Adaptive regelung einer wägezelle, Bachelorarbeit, Technische Universität Ilmenau, Fakultät für Informatik und Automatisierung, 2021. [Online]. Available: https://bibliographie.tu-ilmenau.de/servlets/DozBibEntryServlet?mode=show&id=ilm_mods_00007284
H. Weis, F. Hilbrunner, T. Fröhlich, and G. Jäger, “Mechatronic FEM model of an electromagnetic-force-compensated load cell,” Meas. Sci. Technol., vol. 23, no. 7, Art. no. 074018, Jun. 2012, doi: 10.1088/0957-0233/23/7/074018.
N. Rogge, H. Weiß, I. Kaiser, A. Amthor, F. Hilbrunner, and T. Fröhlich, “Design of digital controllers for electromagnetic force compensated balances focused on the disturbance transfer function,” in Proc. 2016 NCSLI Int. Workshop Symp., 2016, doi: 10.51843/wsproceedings.2016.24.
H. Weis, I. Gushchina, A. Amthor, F. Hilbrunner, C. Diethold, and T. Fröhlich, “Investigation on digital control concepts for dynamic applications of electromagnetic force compensated balances,” in Proc. NCSLI Int. Workshop Symp., 2013. doi: 10.51843/wsproceedings.2013.20
F. Hilbrunner, H. Weis, and T. Fröhlich, “Parameterization and optimisation of EMC balances based on the frequency response of the impedance,” Measurement, vol. 51, pp. 349-355, 2014, doi: 10.1016/j.measurement.2014.01.032.
H. S. Baumgartl, Optimierung dynamischer Waagen nach dem Prinzip der elektromagnetischen Kraftkompensation mittels numerischer Modelle zur Systemsimulation, Dr.-Ing. dissertation, Fakultät für Maschinenbau, Technische Universität Ilmenau, 2015. URN: nbn:de:gbv:ilm1-2015000362.
Y. Yamakawa and T. Yamazaki, “Modeling and control for checkweigher on floor vibration,” in Proc. XXI IMEKO World Congress: Measurement in Research and Industry, Prague, Czech Republic, Aug. 30 – Sep. 4, 2015. [Online] Available: https://www.imeko.info/publications/wc-2015/IMEKO-WC-2015-TC3-093.pdf
I. Kaiser, Zertifizierbarer Entwicklungsprozess für komplexe Informationsverarbeitungssysteme in der Wägetechnik, Dr.-Ing. dissertation, Fakultät für Informatik und Automatisierung, Technische Universität Ilmenau, 2015. URN: nbn:de:gbv:ilm1-2015000588
F. Schwesinger, G. Krapf, and T. Fröhlich, “PC-based low latency controller for dynamic mechatronic systems,” in Proc. 58th Ilmenau Scientific Colloquium, Technische Universität Ilmenau, Sep. 2014. URN: nbn:de:gbv:ilm1-2014iwk-091:8
G. Krapf, F. Schwesinger, and T. Fröhlich, “High-precision analog interfaces for low-latency PC-in-the-loop controller,” in Proc. 58th Ilmenau Scientific Colloquium, Technische Universität Ilmenau, Sep. 2014. URN: nbn:de:gbv:ilm1-2014iwk-094:2
M. Darnieder, M. Pabst, R. Wenig, L. Zentner, R. Theska, and T. Fröhlich, “Static behavior of weighing cells,” J. Sens. Sens. Syst., vol. 7, pp. 587-600, 2018, doi: 10.5194/jsss-7-587-2018.
