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Metrology

Metrology is an international, peer-reviewed, open access journal on the science and technology of measurement and metrology, published quarterly online by MDPI.

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All Articles (262)

  • Review
  • Open Access

Video-Based Measurement of River Surface Velocity: A Review of Methods, Measurement Workflows, and Validation

  • Sanja Šamanović,
  • Olga Bjelotomić Oršulić and
  • Nikola Kranjčić
  • + 1 author

Unmanned aerial vehicles (UAVs), smartphones and computer vision are expanding the use of non-contact approaches for measuring river surface velocity and estimating discharge. This review combines bibliometric analysis with a qualitative synthesis of video-based river hydrometry, with emphasis on sensing platforms, image-processing methods, validation procedures and sources of uncertainty. It covers image velocimetry, particle tracking velocimetry (PTV), space–time image velocimetry (STIV), optical flow and emerging deep-learning-based approaches, and relates them to UAV, smartphone and fixed-camera workflows. Rather than considering these elements separately, the review follows the complete measurement chain from image acquisition, calibration, geometric correction and stabilization to velocity estimation, validation and discharge computation. Attention is given to environmental, hydraulic and imaging factors that affect accuracy, including surface texture, tracer availability, illumination, reflections, flow regime, camera geometry, frame rate, spatial resolution, stabilization and georeferencing. The review emphasizes that video-based methods primarily provide surface velocity, whereas discharge estimation requires additional information on channel geometry, water level, bathymetry and the conversion from surface to depth-averaged velocity. The review highlights the need for conventional hydrometric validation, transparent uncertainty reporting, standardized acquisition and reporting procedures, benchmark datasets, robust optical flow and deep-learning methods, and multisensor integration to support reliable operational river monitoring.

Metrology

9 October 2026

PRISMA-informed literature identification and synthesis structure used in the review. The diagram documents database identification, duplicate removal, construction of the bibliometric dataset and selection of records cited in the qualitative synthesis. It distinguishes between records used for bibliometric analysis and records discussed in the narrative review and should not be interpreted as a full PRISMA systematic-review exclusion flow.
  • Article
  • Open Access

Advanced coupled resonance sensors (ACRS), built by integrating micropillar arrays onto quartz crystal microbalance (QCM) substrates, have emerged as a powerful platform for high-sensitivity measurement of viscosity, water contamination, temperature, and purification in liquid environments. Despite their demonstrated performance, the systematic role of pillar geometry, material properties, and fabrication tolerances on device behavior has not been investigated. This work presents a three-dimensional finite element digital twin of an ACRS device operating in air and liquid, in which pillar height, cross-sectional shape, elastic modulus, density, and internal loss factor are treated as independent input parameters. The model resolves the full coupled fluid–structure interaction using the linearized Navier–Stokes equations in the liquid domain, viscoelastic damping inside the pillar, and the periodic acoustic loading imposed by the QCM substrate. The framework was validated against pillar-height-dependent response in air and in deionized water for square (critical height 15 µm in air, 13 µm in water) and circular (11 µm in air, 9.5 µm in water) cross-sections, and against bulk-liquid viscosity loading across a sucrose–water series spanning approximately 1–15 cP, in which the model reproduced frequency shifts up to 85 kHz. Sensitivity enhancement exceeded a factor of 22 for both geometries near their critical heights, and the normalized peak shear displacement peaked at the critical height for both cross-sections in air and in water, exceeding the substrate amplitude by more than an order of magnitude. A Monte Carlo uncertainty propagation analysis demonstrated that operation at the critical height amplifies the standard uncertainty in resonance frequency by more than an order of magnitude relative to sub-critical operation, with geometric tolerances dominating over material property variability by a factor of two to four. The analysis recommends sub-critical operation for quantitative measurement, where the fabrication-driven combined coefficient of variation stays below 0.2% under realistic fabrication conditions. The model is validated for Newtonian liquids under fully wetted conditions and against the frequency response only. The viscosity response is validated over approximately 1–15 cP, and use outside this interval is an extrapolation of the calibration. The digital twin provides a metrologically grounded basis for ACRS design and material selection.

Metrology

5 October 2026

Mesh independence study of ACRS with square-shaped pillar at height of 18 µm.
  • Article
  • Open Access

Metrological Validation of NH3 Reference Gas Calibration for the MetNH3Energy Project Based on ISO 6143

  • Florbela A. Dias,
  • Joana Constantino and
  • Ricardo B. da Silva
  • + 2 authors

Ammonia (NH3) is emerging as a key energy carrier in the context of the European Union’s drive towards decarbonisation, serving as a hydrogen carrier and direct fuel in maritime and power generation sectors. Accurate and traceable measurement of NH3 purity is essential across the entire ammonia value chain. This article describes the work carried out by the Reference Gas Laboratory (LGR) of the Instituto Português da Qualidade (IPQ) within the framework of the European Partnership on Metrology project MetNH3Energy. This work presents the calibration of NH3 reference gas mixtures according to ISO 6143 using a first-order linear fit with three certified reference gas standards in nitrogen matrix at nominal mole fractions from 25 µmol/mol to 1001 µmol/mol. While the ISO 6143 comparative approach is well established, its systematic application to NH3 across this concentration range, together with an assessment of the nitrogen-to-air matrix effect relevant to IPQ’s air-matrix reference mixtures, has not previously been reported and extends the NH3 measurement capabilities currently available through the BIPM Key Comparison Database. The validation of the NH3 calibration method was carried out on three consecutive days using the normalised error (En) statistical tool and repeatability and intermediate precision studies. All En values obtained were within the acceptance criterion |En| ≤ 1, confirming the validity of the calibration method. Repeatability and intermediate precision components were found to be well below the calibration uncertainty, demonstrating the robustness of the measurement procedure. These results support the establishment of new Calibration and Measurement Capabilities (CMCs) for NH3 at IPQ, contributing to the metrological infrastructure for ammonia in emerging energy applications. This work therefore represents the first rigorous validation of the NH3 calibration method at IPQ, providing the metrological foundation needed to support the emerging ammonia energy sector.

Metrology

4 October 2026

Normalised error (En) for each of the three NH3 reference standards on each of the three measurement days. The shaded band marks the acceptance zone (|En| ≤ 1).
  • Article
  • Open Access

Application of Digital Twins to Overhead Line Conductors

  • Márton Markovits,
  • Dávid Szabó and
  • Bálint Németh
  • + 1 author

Transmission line monitoring is undergoing a significant transformation driven by the increasing demand for enhanced grid utilization, Dynamic Line Rating (DLR), and cost-effective monitoring solutions. However, the large-scale deployment of physical monitoring devices remains constrained by installation and maintenance time and costs. This paper presents the development and validation of an artificial neural network (ANN)-based Digital Twin (DT) framework for conductor temperature monitoring through virtual sensing. The investigated approach is part of a multi-layer Digital Twin architecture that integrates data preparation, virtual sensing, and DLR applications into a unified monitoring concept. The research was conducted within the Horizon Europe TwinEU project using datasets collected from three power system operators operating overhead lines at voltage levels between 132 kV and 400 kV. The developed ANN models applied weather observations and SCADA-derived loading data as inputs, while conductor temperature measurements obtained from physical sensors served as training and validation targets. To enhance robustness and generalization, different data-splitting methodologies, normalization techniques, and site-specific hyperparameter optimization strategies were investigated using a Bayesian optimization framework. The results demonstrate that ANN-based virtual sensors can reproduce conductor temperature measurements with high accuracy, achieving RMSE values of 0.791–1.087 °C, when sufficient high-quality training data are available. The study also highlights the importance of local weather measurements and seasonally representative datasets for reliable model performance. The findings confirm that DT technologies can partially substitute physical monitoring assets without significant loss of accuracy, reducing monitoring complexity and operational costs. The proposed approach offers a practical pathway toward scalable transmission line monitoring and provides a foundation for future applications in DLR, ampacity calculation, market-oriented grid operation, and asset management.

Metrology

30 September 2026

Installation of dynamic line rating equipment in the Hungarian distribution and transmission system: (a) line monitoring sensor, (b) weather station, (c) weather station.

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Advancements in Optical Measurement Devices and Technologies

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Measurement Uncertainty

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Metrology - ISSN 2673-8244