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Publicación Acceso Abierto Final report to the CCT on key comparison CCT-K8 - comparison of local realisations of dew-point temperature of humid gas in the range 30 °C to 95 °C(IOP Science, 2025-02-04) García Gallegos, Jaime; Mitter, Helmut; Abe, Hisashi; Benyon Puig, Robert; Carroll, P.; Choi, B. I.; Deschermeier, Regina; Ebert, V.; Fernicola, Vito; Wang, L.; Meyer, C.; Smorgon, Denis; Vicente Mussons, TomásThe report summarises the results of the CCT-K8 key comparison in the field of humidity. The main target of this comparison was to obtain the degree of equivalence (DoE) between realizations of local scales of dew point temperature of humid gas (air), in the range from 30 °C to 95 °C, among the participating national metrology institutes. The report gives details of the scheme, procedure and analysis of the comparison. The overall results display a very good agreement of the nine participating laboratories. The results show excellent agreement between the realized scales with no detected outliers. The performance of the travelling standards was excellent and can be attributed to the intensive preconditioning and selection of the platinum resistance thermometers, prior to their integration into the measuring head assembly, that led to insignificant drift. In the conclusion, some lessons learned are reported that could be beneficial for future key comparisons.Publicación Acceso Abierto Comparison in humidity (dew-point temperature high range) dew point temperature +30 °C to 95 °C(IOP Science, 2024-12-18) Deschermeier, Regina; Bell, Stephanie; Benyon Puig, Robert; Bonde Kentved, Anders; Carroll, Paul; Fernicola, Vito; García Gallegos, Jaime; Heinonen, Martti; Hudolkin, Domen; Jarosz, Rafal; Kokkini, Evmorfia; Mac Lochlainn, Dubhaltach; Mitter, Helmut; Aytekin, Seda Oğuz; Panman, Matthijs; Senn, Remo; Šestan, Danijel; Smorgon, Denis; Stevens, Mark; Zvizdić, DavorThe report summarises the results of the EURAMET.T-K8 key comparison (EURAMET Project No. P 717) in the field of humidity. The comparison covers the dew-point temperature range from +30 °C up to + 95 °C dew point temperature. The report gives details of the scheme, procedure and analysis of the comparison. The overall results display a very good agreement of the 16 participating laboratories. The two dew-point hygrometers used as travelling standard were sufficiently stable. The linkage to the corresponding CCT-K8 comparison will be calculated when the final results for both comparisons are available. Possible procedures are described in the text. In the conclusion, some remarks for improvement for future RMO key comparisons are given.Publicación Restringido Measuring Humidity in Methane and Natural Gas with a Microwave Technique(Springer Nature Link, 2014-03-01) Gavioso, R. M.; Madonna Ripa, D.; Benyon Puig, Robert; García Gallegos, Jaime; Pérez-Sanz, F.; Corbellini, S.; Ávila, S.; Benito, A. M.The results of microwave measurements with a quasi-spherical resonator in humid methane samples realized under laboratory conditions at the Istituto Nazionale di Ricerca Metrologica (INRiM) and under industrial conditions in a natural gas sample made available at the facilities of the Technical Manager of the Spanish Gas System and main supplier of natural gas in Spain (ENAGAS) are reported. Measurements at INRiM included vapor phase and condensation tests on methane samples prepared with amount fractions of water between 600 ppm and 5000 ppm at temperatures between 273 K and 295 K and pressures between 150 kPa and 1 MPa. ENAGAS measurements were performed at ambient temperature, 750 kPa on natural gas sampled from the pipeline and successively humidified at amount fractions of water between 140 ppm and 250 ppm for completeness of the comparison with several humidity sensors and instrumentation based on different technologies. To enhance the sensitivity of the microwave method at low humidity, an experimental procedure based on the relative comparison of the dielectric permittivity of the humid gas sample before and after being subject to a chemical drying process was conceived and implemented. The uncertainty budget and the final sensitivity of this procedure are discussed.Publicación Restringido An investigation of the comparative performance of diverse humidity sensing techniques in natural gas(Elsevier, 2015-02-21) García Gallegos, Jaime; Benyon Puig, Robert; Ávila, Sara; Benito, Angel M.; Gavioso, Roberto Maria; Mitter, Helmut; Bell, Stephanie; Stevens, Mark; Böse, Norbert; Ebert, Volker; Heinonen, M.; Peruzzi, Andrea; Bosma, Rien; Val´ková, MiroslavaMoisture content is a key factor regardless of the activity carried out inside the natural gas industry (production, processing, transmission, etc.). Not only does the efficiency of the final product, known as heating value, decrease when the water content is high, but it can also trigger potentially dangerous conditions due to the formation of hydrates, that can block pipelines and damage pumping devices and produce other negative effects. For these reasons, accurate measurement and control of humidity is absolutely essential. However, current practice for such moisture measurements is for the devices to be calibrated at atmospheric pressure and in nitrogen or air as the matrix gas, conditions that vary significantly from those present in the actual industrial process. For that, eleven hygrometers based on different measurement principles (chilled-mirror, electrolytic sensor, a spectroscopic analyzer, polymeric and metal oxide humidity sensors) have been compared at facilities of the main carrier of natural gas in Spain, using natural gas at absolute pressures between 0.1 MPa and 6 MPa, and for a range of water content from 13 ppmv to 250 ppmv. Their relative performance is described in terms of the response times, long term stability, hysteresis and behaviour under large pressure changes. Most instruments, exceptions are detailed in the article, show good behaviour regarding response time, hysteresis and under sudden pressure changes. In contrast, drift can be identified in most of the aluminium oxide probes tested.Publicación Restringido Experimental evaluation of the performance of humidity analyzers in natural gas under industrial conditions(Elsevier, 2016-03-03) García Gallegos, Jaime; Ávila, Susana; Benyon Puig, Robert; McKeogh, G.; Stokes, AndrewThe work reported is the continuation of the extensive comparison performed in controlled laboratory conditions using natural gas from the Spanish grid, as part of the European Metrology Research Project (EMRP) “Characterisation of Energy Gases” (ENG01-Gas, 2009). One of the outcomes of the project was the good performance of a laser absorption spectrometer with respect to other measurement technologies, in particular the absence of appreciable drift effects, exhibited by aluminium oxide (Al2O3) sensors that are traditionally used in the natural gas industry. The investigation was performed over a wide range of humidity content (13 ppmv to 250 ppmv) in ambient conditions of 23 °C ± 3 °C, at Enagás central laboratory in Zaragoza, Spain (Gallegos et al., 2015). We report the subsequent comparison of two laser absorption analyzers, from different manufacturers, and a conventional Al2O3 installed on site in real industrial conditions, at an underground gas storage (UGS) and drying plant of Enagás in Serrablo, Spain. The performance of sensors is reported and discussed for all production stages of the plant (extraction, injection and shutdown), during which extreme ambient temperature values took place (from −15 °C up to 40 °C) and at line pressures up to 6.7 MPa. A purpose built sampling system was designed and constructed to accommodate the different instrumentation requirements and ensure an optimum metrological analysis. The new results are compared with those previously obtained under more ideal laboratory conditions in the context assuring compliance with the contractual specifications that are to be met in Europe (EASEE-gas, 2005).Publicación Acceso Abierto Digitalization of a calibration laboratory: Batch calibration(Elsevier, 2024-12-22) Perez Sanz, Fernando; Larroca Sanz, Rebeca; Mohíno Herranz, Inmaculada; García Gallegos, Jaime; Vicente Mussons, Tomás; Benyon Puig, RobertThe Metrology and Calibration Centre (CMC) at the National Institute of Aerospace Technology (INTA) has introduced an innovative tool designed to enhance the efficiency and effectiveness of calibration processes within its facilities. This cutting-edge software enables technicians to conduct multiple calibrations simultaneously, provided the requisite experimental setup is in place. Developed with a focus on streamlining the entire calibration workflow, from data acquisition to certificate issuance, the software ensures compliance with the ISO/IEC 17025 standard. Through rigorous testing, the CMC verified the software's performance using devices employed for monitoring ambient conditions (temperature and humidity) across various INTA test laboratories. Notably, these devices underwent batch calibration in groups of six, resulting in a sixfold reduction in experimentation time. Although the associated paperwork was reduced, the necessity to maintain traceability and issue individual calibration certificates for each device offsets the time savings.Publicación Acceso Abierto Digital transformation: Ensuring metrological traceability(Elsevier, 2024-12-27) Benyon Puig, Robert; García Gallegos, Jaime; Mohíno Herranz, Inmaculada; Perez Sanz, Fernando; Vicente Mussons, TomásThe digital transformation project for the calibration and testing laboratories of INTA is presented. It is intended to serve as the institute's single platform for integrating knowledge, capabilities and innovative metrology techniques, quality and testing systems, to produce highly efficient and reliable results while ensuring metrological traceability of R + D + i results. It provides the necessary data for decision support and aims to address many current issues faced by laboratories and testing centres. The project is developed across the following action areas: (a) Automation of quality assurance for measurements according to ISO/IEC 17043 standard; (b) Automation of data capture and analysis of calibration procedures for the Metrology and Calibration Centre (CMC) and various tests; (c) Digital services for remote auditing of measurement and testing services in accordance with ISO/IEC 17025 and ISO/IEC 17043 standards; (d) Evolution towards the flexibility and expansion of parameterization of the different modules to facilitate implementation in any type of INTA and Ministry of Defence (MoD) laboratories.Publicación Acceso Abierto Digitalization of on-site characterization of climatic chambers(Elsevier, 2024-12-27) García Gallegos, Jaime; Benyon Puig, Robert; Perez Sanz, Fernando; Mohíno Herranz, Inmaculada; Vicente Mussons, TomásThe implementation of a software tool applied to the characterization of climatic chambers is presented and discussed. INTA took part in the design and development of the algorithms for the automatic identification of stabilization periods of physical parameters measured based on defined acceptance criteria and the application of mathematical and statistical analysis for the interpretation of the results obtained. The new operational procedure implemented at INTA is presented as an innovation in the service offered by the laboratory to its clients, allowing them to improve the efficiency of their production processes. It enables the remote calibration of climatic chambers and other thermal facilities of the Institute in different locations in Spain, without the need to move calibration technicians, resulting in increased efficiency in the use of human resources and cost savings.Publicación Acceso Abierto Implementing transfer learning for sound event classification using the realised audio database(Elsevier, 2025-01-04) Mohíno Herranz, Inmaculada; García Gómez, Joaquín; Alonso Díaz, Sagrario; García Gallegos, Jaime; Perez Sanz, Fernando; Aguilar Ortega, Miguel; Gil Pita, Roberto; Agencia Estatal de Investigación (España); Comunidad de MadridCurrently, smart spaces utilize diverse sensors to gather real-time data on activities within environments, enabling systems to activate alarms or execute tasks. These environments support various applications integrating advanced sensory systems like cameras, microphones, and motion sensors. Acoustic sensors are crucial, extracting valuable information from sound waves, including source details and environment characteristics. This article focuses on detecting and classifying common household sounds using the ReaLISED database, comprising 2479 recordings of 18 events. Audio data were collected in real homes with everyday objects and activities, unlike reverberation models. Artificial Intelligence techniques, including Machine Learning classifiers, yielded satisfactory outcomes. Transfer Learning methods were explored, leveraging pre-trained models like YAMNet for sound event recognition by Google, potentially outperforming previous classifiers. Preliminary results reveal a relative reduction of around 25 % in the probability error rate when comparing the obtained results with previous studies, providing valuable insights into potential possibilities and enhancements.Publicación Acceso Abierto Constraints on the Spatial Distribution of Lunar Crustal Magnetic Sources From Orbital Magnetic Field Data(Advancing Earth and Space Science (AGU), 2024-02-14) Oliveira, Joana S.; Vervelidou, Foteini; Wieczorek, Mark A.; Díaz Michelena, Marina; Ministerio de Ciencia e Innovación (MICINN); European Research Council (ERC)Spacecraft measurements show that the crust of the Moon is heterogeneously magnetized. The sources of these magnetic anomalies are yet not fully understood, with most not being related to known geological structures or processes. Here, we use an inversion methodology that relies on the assumption of unidirectional magnetization, commonly referred to as Parker's method, to elucidate the origin of the magnetic sources by constraining the location and geometry of the underlying magnetization. This method has been used previously to infer the direction of the underlying magnetization but it has not been tested as to whether it can infer the geometry of the source. The performance of the method is here assessed by conducting a variety of tests, using synthetic magnetized bodies of different geometries mimicking the main geological structures potentially magnetized within the lunar crust. Results from our tests show that this method successfully localizes and delineates the two-dimensional surface projection of subsurface three-dimensional magnetized bodies, provided their magnetization is close to unidirectional and the magnetic field data are of sufficient spatial resolution and reasonable signal-to-noise ratio. We applied this inversion method to two different lunar magnetic anomalies, the Mendel-Rydberg impact basin and the Reiner Gamma swirl. For Mendel-Rydberg, our analysis shows that the strongest magnetic sources are located within the basin's inner ring, whereas for Reiner Gamma, the strongest magnetic sources form a narrow dike-like body that emanates from the center of the Marius Hills volcanic complex.Publicación Acceso Abierto In-flight calibration of the MEDA-TIRS instrument onboard NASA's Mars2020 mission(Elsevier, 2024-11-09) Sebastián, E.; Martínez, Germán M.; Ramos, Miguel; Smith, Michael D.; Peinado, V.; Mora Sotomayor, L.; Lemmon, M. T.; Vicente Retortillo, Álvaro; de Lucas Veguillas, Javier; Ferrándiz, Ricardo; Rodríguez Manfredi, J. A.This article describes a novel procedure and algorithm used for the in-flight calibration of the Thermal Infrared Sensor (TIRS) onboard the Mars 2020 mission. The purpose is to recalibrate the responsivity of TIRS’ IR detectors as they degrade following surface operations and exposure to harsh environmental conditions. Using data from in-flight calibration campaigns conducted through sol 800 of this mission, we report the time evolution of the responsivity for the different IR detectors, as well as the final performance achieved by the algorithm in the real operating environment. Moreover, we analyzed changes in responsivity as a function of TIRS geometric design and environmental factors, e.g., detector orientation, direct exposure to prevailing winds and solar radiation, electrostatic properties of the detector filter, and atmospheric dust concentration. We concluded that dust deposition on the detectors' filter during landing, and later during operation is the most likely cause of the degradation observed in the various channels, with gravitational sedimentation and the capacity of the filters to accumulate electrostatic charge being key factors. The relative and absolute degradation of the TIRS is similar to those reported by other Martian missions and instruments with similar orientations, and to date, it has shown no signs of cleaning after more than a year on the surface of Mars. Accounting for changes in responsivity during the mission is critical to maintaining the reliability of TIRS measurements, which will later be made available in NASA's Planetary Data System for the benefit of the scientific community.Publicación Acceso Abierto Measurement, Validation and Uncertainty of an Experimental Procedure to Characterize the Size-of-Source Effect of Radiation Thermometers, in the Framework of an Industrial Calibration Laboratory(Multidisciplinary Digital Publishing Institute (MDPI), 2022-10-28) de Lucas Veguillas, Javier; Instituto Nacional de Técnica Aeroespacial (INTA)An experimental procedure for characterizing the size-of-source effect (SSE) is proposed. Such an effect is the cause of one of the main influence variables generating uncertainty in the measurement, both in calibration and use, of direct reading radiation thermometers (RT). The procedure and uncertainty calculation described in the paper are aligned in terms of metrological traceability, with the requirements generally imposed to ensure the accuracy of measurements in industry and science. Results of application and validation of this particular procedure with equipment, including black body (BB) sources normally used in radiation thermometry calibration laboratories in the industrial field, are shown.Publicación Restringido Geometrical and thermal optimization of cylinder-conical blackbody cavities to uniform radiance temperature profiles in the infrared(Elsevier, 2023-04-07) de Lucas Veguillas, Javier; Segovia, José Juan; Instituto Nacional de Técnica Aeroespacial (INTA)Large-area blackbody cylinder conical cavities are generally used as primary radiation sources for calibrating and characterizing radiation thermometers and quantitative thermal imagers in the infrared, both in metrology laboratories or for industrial applications. The radiation temperature of the emitted radiation depends on effective emissivity and surface (contact) temperature. The instrument’s field of view generally only covers the cavity bottom since this is where contact temperature is best measured. A non-uniform effective emissivity profile at the bottom poses a problem if instruments with a different field of view have to be calibrated with the same blackbody. Spatial uniformity depends principally on the cone angle and temperature gradient along the cavity. In this paper, we analyse blackbody optimization in terms of uniform radiance temperature profiles as a function on geometric parameters and temperature. For the isothermal case, we conclude that angles between 160° and 170° are the optimum, depending on intrinsic emissivity and length-to-diameter ratio of the cavity. For non-isothermal cavities, the effect of the temperature gradient on uniformity is relatively small, with only the temperature near the bottom proving significant. The use of multi-zone maintenance furnaces would allow temperature gradients to be designed that can improve uniformity in addition to geometric optimization.Publicación Restringido Aperturas efectivas en calibración y comparación de termómetros de radiación(Federación de Asociaciones de Ingenieros Industriales de España, 2020-09-15) de Lucas Veguillas, Javier; Instituto Nacional de Técnica Aeroespacial (INTA)Los termómetros de radiación (TR) se calibran con cuerpos negros (CN) cuya apertura debe cubrir suficientemente el blanco nominal del termómetro. Debido a posibles imperfecciones en su sistema óptico, radiación proveniente de regiones exteriores al blanco puede llegar al detector. Es el efecto del tamaño de la fuente (ETF) y constituye una limitación importante en el uso de TR en aplicaciones especialmente en un entorno industrial y fuente entre otras de incertidumbre de medida.Publicación Restringido Measurement and analysis of the temperature gradient of blackbody cavities, for use in radiation thermometry(Springer Link, 2018-03-24) de Lucas Veguillas, Javier; Segovia, José Juan; Instituto Nacional de Técnica Aeroespacial (INTA)Blackbody cavities are the standard radiation sources widely used in the fields of radiometry and radiation thermometry. Its effective emissivity and uncertainty depend to a large extent on the temperature gradient. An experimental procedure based on the radiometric method for measuring the gradient is followed. Results are applied to particular blackbody configurations where gradients can be thermometrically estimated by contact thermometers and where the relationship between both basic methods can be established. The proposed procedure may be applied to commercial blackbodies if they are modified allowing secondary contact temperature measurement. In addition, the established systematic may be incorporated as part of the actions for quality assurance in routine calibrations of radiation thermometers, by using the secondary contact temperature measurement for detecting departures from the real radiometrically obtained gradient and the effect on the uncertainty. On the other hand, a theoretical model is proposed to evaluate the effect of temperature variations on effective emissivity and associated uncertainty. This model is based on a gradient sample chosen following plausible criteria. The model is consistent with the Monte Carlo method for calculating the uncertainty of effective emissivity and complements others published in the literature where uncertainty is calculated taking into account only geometrical variables and intrinsic emissivity. The mathematical model and experimental procedure are applied and validated using a commercial type three-zone furnace, with a blackbody cavity modified to enable a secondary contact temperature measurement, in the range between 400 °C and 1000 °C.Publicación Restringido A simple geometrical model for calculation of the effective emissivity in blackbody cylindrical cavities(Springer Link, 2015-10-15) de Lucas Veguillas, Javier; Instituto Nacional de Técnica Aeroespacial (INTA)A simple geometrical model for calculating the effective emissivity in blackbody cylindrical cavities has been developed. The back ray tracing technique and the Monte Carlo method have been employed, making use of a suitable set of coordinates and auxiliary planes. In these planes, the trajectories of individual photons in the successive reflections between the cavity points are followed in detail. The theoretical model is implemented by using simple numerical tools, programmed in Microsoft Visual Basic for Application and Excel. The algorithm is applied to isothermal and non-isothermal diffuse cylindrical cavities with a lid; however, the basic geometrical structure can be generalized to a cylindro-conical shape and specular reflection. Additionally, the numerical algorithm and the program source code can be used, with minor changes, for determining the distribution of the cavity points, where photon absorption takes place. This distribution could be applied to the study of the influence of thermal gradients on the effective emissivity profiles, for example. Validation is performed by analyzing the convergence of the Monte Carlo method as a function of the number of trials and by comparison with published results of different authors.Publicación Restringido Validation of a geometrical model for the calculation of the integrated effective emissivity of conical cavities with a lid(IOP Science Publishing, 2015-08-03) de Lucas Veguillas, Javier; Instituto Nacional de Técnica Aeroespacial (INTA); Ministerio de Ciencia e Innovación (MICINN)In this paper, a geometrical model for the numerical calculation of the integrated effective emissivity of conical isothermal cavities with a lid, is described in detail. We make use of the Montecarlo method and the 'back ray tracing' technique, assuming diffuse reflection and a detector situated at an arbitrary distance from the cavity aperture. First, the geometry of the problem is discussed and the local hemispherical emissivity profiles along the cone generatrix are calculated for different configurations. Then we proceed to the validation of the model, by calculating the distribution of the reflected photons in the interior of the cavity, such as it is provided by the numerical algorithm. The calculated distribution is compared with theoretical values, obtained from the expressions of the view factors for the conical geometry. The calculated values for the local and integrated effective emissivity are compared with results published by other authors, highlighting the differences between them, and the internal consistency of our model is demonstrated. Special attention to the calculation of the view factors in conical cavities affected by vignetting due to the obstruction produced by the lid, is paid. The view factors of points at the penumbral region are numerically calculated, applying the Montecarlo method, including a complete analysis of the uncertainty.Publicación Restringido Uncertainty calculation of the effective emissivity of cylinder-conical blackbody cavities(IOP Science Publishing, 2015-12-30) de Lucas Veguillas, Javier; Segovia, José Juan; Instituto Nacional de Técnica Aeroespacial (INTA)A numerical and geometrical model for calculating the local effective emissivity of isothermal blackbody cylinder-conical cavities with lid, assuming diffuse reflection, is described. This has been developed by generalizing previous models based on conical and cylindrical geometries. The model has been validated by determining the diffusely reflected photon trajectories and the corresponding experimental view factors between given pairs of surface elements. Differences compared to theoretical values, were subsequently analyzed in terms of the model's intrinsic uncertainty. A well-defined numerical function that calculates the effective emissivity as a function of its natural variables, intrinsic emissivity and geometrical parameters, is established. In order to calculate the probability distribution of the output quantity, we use the Monte Carlo method for the propagation of the probability distributions that characterize our knowledge concerning the values of the influence variables. The model is applied to heat-pipe black bodies installed at our laboratory, previously characterized at the PTB. A comparison with published uncertainty results, obtained by applying classical uncertainty propagation techniques, is also made.Publicación Restringido A subcell FDTD Scheme implementation for thin slot modeling(Institute of Electrical and Electronics Engineers, 2022-07-08) Cabello, M. R.; Martín Valverde, A. J.; Plaza Gallardo, Borja; Frövel, Malte; Poyatos Martinez, David; Rubio Bretones, Amelia; González García, S.; Instituto Nacional de Técnica Aeroespacial (INTA); Ministerio de Ciencia e Innovación (MICINN); Agencia Estatal de Investigación (AEI); Junta de AndalucíaThe finite-difference time-domain (FDTD) method is not able to efficiently model thin features without a drastic reductions of the spatial mesh size, potentially yielding an unfeasible use of memory and CPU requirements. In this work we propose two stable and efficient techniques for dealing with thin apertures in FDTD, one based on conformal and one based on subgridding. These are compared, in two different scenarios, with the classical dispersive magnetic material approximation [DMMA] based on Gilbert-Holland's models.Publicación Acceso Abierto Uncertainty in the Calibration Transfer of Solar Irradiance Scale: From Absolute Cavity Radiometers to Standard Pyrheliometers(Multidisciplinary Digital Publishing Institute (MDPI), 2022-04-02) Balenzategui, José Lorenzo; Molero García, María; Silva, José Pedro; Fabero, Fernando; Cuenca, José; Mejuto, Eduardo; de Lucas Veguillas, JavierIn this work, the method for calculation of uncertainty of pyrheliometers’ responsivity during their outdoor calibration process in the laboratory is exposed. It is applied first for calibration of standard pyrheliometers by comparison to cavity radiometers, and after for calibration of an end-user pyrheliometer against that standard pyrheliometer. The dissemination of the WRR irradiance scale is illustrated in practice and the increasing uncertainty in the traceability chain is quantified. The way of getting traceability to both WRR scale and to SI units in the current situation, where the shift between these radiometric scales is pending to be solved, is also explained. However, the impact of this gap between scales seems to be more important for calibrations of reference Class A pyrheliometers than in the final determination of DNI irradiance, because in this case, the cumulative uncertainty is large enough as to not significantly be affected for the difference. The way to take into account different correction terms in the measurement model function, and how to compute the corresponding uncertainty, is explained too. The influence of temperature of some pyrheliometers during calibration process and the potential impact on the DNI irradiance calculated with these instruments is exemplified.










