Fact-checked by Grok 2 weeks ago

Pyranometer

A pyranometer is a scientific instrument used to measure the total solar irradiance incident on a horizontal surface from a 180-degree hemispherical field of view, capturing both direct beam and diffuse sky radiation in units of watts per square meter (W/m²). It is classified as a type of actinometer specifically designed for broadband solar radiation flux within the spectral range of approximately 0.3 to 3.0 micrometers, providing essential data for global horizontal irradiance (GHI), diffuse horizontal irradiance (DHI), or plane-of-array measurements. The working principle of a pyranometer relies on either or technology. In thermopile-based models, solar radiation passes through a transparent dome and is absorbed by a black-painted surface, generating heat that creates a temperature differential across thermoelectric junctions via the Seebeck effect; this differential produces a voltage output proportional to the , with the instrument featuring a white inner surface to minimize convection losses. Photodiode-based pyranometers, often using silicon sensors, convert incident photons directly into an electrical current through the , offering lower cost and faster response but narrower spectral sensitivity (typically 0.35 to 1.1 micrometers). Both types are calibrated against reference standards, such as those traceable to the (WMO), with classifications under ISO 9060:2018 as spectrally flat Class A (secondary reference, highest precision), Class B (first class), or Class C (second class) instruments. Pyranometers have evolved since their early development in the late , with foundational contributions from instruments like the Ångström pyrheliometer in 1893 and proposals for total irradiance measurement by in , leading to modern standardized designs essential for accurate solar monitoring. They play a critical role in applications such as meteorological and climatological research, where they quantify availability for and modeling; solar energy systems, including photovoltaic () performance monitoring and site assessment; and specialized fields like building and agricultural optimization. High-quality pyranometers achieve accuracies of ±1-5% under varying sky conditions, with response times under 20 seconds, ensuring reliable for global networks like the Baseline Surface Radiation Network (BSRN).

Introduction

Definition and Purpose

A pyranometer is a type of designed to measure the of solar received by a plane surface, typically oriented horizontally, integrating both direct beam and across a 180° . This instrument quantifies broadband solar in units of watts per square meter (W/m²), capturing the total energy from incident on the surface. The primary purpose of a pyranometer is to evaluate total shortwave within the wavelength range of approximately 0.3 to 3 μm, supporting applications such as monitoring, resource assessment for photovoltaic systems, and studies of Earth's . Unlike pyrheliometers, which measure only direct beam , pyranometers provide a comprehensive measure of global horizontal , making them essential for meteorological networks and environmental research. Key components of a pyranometer include a transparent dome made of or to ensure hemispherical acceptance of incoming , a black absorbing surface that uniformly captures the energy, and an output that converts the absorbed into an electrical signal, such as voltage or current. The design incorporates a cosine response, which maintains accuracy by responding proportionally to the cosine of the , allowing reliable quantification across varying incidence angles. Pyranometers are available in types such as thermopile-based models for high spectral coverage and accuracy, and photovoltaic or variants for cost-effective applications with narrower spectral response.

Historical Development

The development of the pyranometer traces its origins to early efforts in measuring radiation, building on pioneering work by in the , who devised the heliothermometer to quantify the rise from heating, demonstrating an increase in radiation with altitude. This laid foundational principles for radiation instruments, though de Saussure's device focused on thermal effects rather than direct . The first dedicated pyranometer emerged in 1919, developed by Anders Knutsson Ångström as an improvement over his father's 1893 for direct beam radiation; Ångström's design employed a detector to measure global horizontal , incorporating absorption elements to capture both direct and diffuse components. Early commercialization of thermopile-based pyranometers began shortly thereafter, with Dutch firm Kipp & Zonen initiating production in 1913 of sensitive sensors for measurement, which were adapted into full pyranometers by the using multiple thermocouples to enhance and accuracy in detecting solar flux. These models marked a shift from rudimentary calorimetric approaches to electrical detection, enabling more reliable field deployments in meteorological stations. By the mid-20th century, advancements included the application of blackbody coatings such as Parsons Optical Black Lacquer in the 1930s, which improved across 1–40 µm wavelengths to better approximate blackbody behavior and reduce errors. In the early 1930s, F. Albrecht proposed a pyrradiometer for measuring total , bridging the gap between direct and global measurements. The (WMO) formalized pyranometer use in the 1950s, integrating them into global observation networks during the (1957–1958) to standardize solar radiation data for climate monitoring. In the late 20th and early 21st centuries, pyranometer technology diversified with the rise of photovoltaic () systems, leading to the emergence of silicon photodiode-based models in the 1980s and s for cost-effective irradiance monitoring in applications. These sensors, leveraging 's spectral response similar to PV modules, facilitated widespread adoption in performance assessment. efforts culminated in ISO 9060 (), which classified pyranometers by accuracy for use, with an update in 2018 introducing spectral error metrics to address modern calibration needs. A further advancement appeared in ISO 9846 (2025), specifying three methods for calibrating pyranometers against pyrheliometers to enhance in field and laboratory settings. Contemporary innovations focus on environmental robustness, such as ventilated and heated pyranometer designs introduced in the , exemplified by the Apogee SP-510 model, which incorporates airflow and low-power heating to minimize errors from , , and on the dome. This evolution aligns with the expansion of infrastructure since the 2000s, where pyranometers now integrate with networks for transmission in large-scale solar farms, improving operational efficiency and .

Operating Principles

Thermoelectric Detection

In thermoelectric detection, solar radiation is absorbed by a blackened surface, which heats up and creates a across the junctions of a sensor. This gradient generates an through the Seebeck effect, where dissimilar metals or semiconductors produce a voltage proportional to the difference between the hot absorbing surface and a cooler . The resulting output voltage is directly related to the incident , enabling precise measurement of global horizontal radiation without spectral selectivity issues common in other detection methods. The key relationship is given by the equation for output voltage: V = \alpha \Delta T where V is the generated voltage, \alpha is the (typically 10–50 μV/K for thermopile materials), and \Delta T is the between the hot and cold junctions. A multi-junction , consisting of 20–100 thermocouples connected in series, amplifies this signal for enhanced sensitivity while maintaining linearity. The absorbing surface is coated with a highly emissive black material, such as or gold-black, achieving absorptivity greater than 95% across the from 0.3 to 3 μm, ensuring efficient capture of incoming . These sensors exhibit a spectral response from 300 to 3000 nm, capturing nearly all without significant bias, unlike photovoltaic detectors limited to specific bands. The design incorporates that provides cosine correction, ensuring accurate response to at varying angles. The thermal time constant is approximately 1–5 seconds, allowing reliable tracking of changes in typical atmospheric conditions. Thermoelectric detection offers high accuracy, with uncertainties of ±1–2% in Class A instruments, minimal spectral dependence, and good stability across ambient temperature variations due to the principle.

Photovoltaic Detection

In photovoltaic detection, incident photons from solar radiation are absorbed by a material, typically , exciting electrons from the valence band to the conduction band and generating electron-hole pairs. These charge carriers are separated by the built-in of a p-n junction, producing a that is directly proportional to the incident . The short-circuit current or diffusion voltage across the junction is measured to quantify the solar flux, enabling real-time monitoring without relying on thermal effects. The photocurrent I generated in the detector follows the relation I = \eta q \Phi A, where \eta is the of the , q is the ($1.6 \times 10^{-19} C), \Phi is the photon flux density (photons per unit area per second), and A is the active area of the detector. This equation captures the linear conversion of photon flux—derived from divided by —to electrical current, with typical values for yielding responsivities around 0.3–0.6 A/W under standard conditions. Key components include a p-n junction or photovoltaic cell as the core detector, often paired with a diffuser (such as or Teflon) to ensure a cosine angular response for accurate hemispherical integration of . Anti-reflective coatings on the surface minimize light loss, while integrated temperature compensation elements, like thermistors or resistors, adjust for sensitivity variations with ambient conditions. These elements collectively enable stable operation in field environments. Photovoltaic detectors exhibit a spectral response, typically spanning 400–1100 for , with peak sensitivity around 900 , aligning partially but not fully with the (300–4000 ). Their is fast, often less than 1 μs for the bare , though instrument-level response remains under 1 second due to and diffusers. is representative at 0.05–0.1 μA per W/m² for calibrated sensors, providing high up to 2000 /m². A primary limitation is spectral mismatch, as the detector underestimates (<400 nm) and infrared (>1100 nm) contributions, leading to errors up to 3–5% under non-standard atmospheric conditions compared to references. Additionally, dependence introduces a coefficient of approximately 0.08–0.1% per °C, requiring compensation to maintain accuracy across environmental variations. Compared to methods, photovoltaic detection offers lower cost but trades off fidelity for speed.

Types of Pyranometers

Thermopile Pyranometers

Thermopile pyranometers represent the reference standard for high-precision solar radiation measurements due to their broadband spectral response and thermal detection mechanism, which relies on the Seebeck effect to generate a voltage proportional to temperature differences induced by absorbed radiation. The core sensor consists of a central thermopile with a black absorbing coating that captures incoming solar irradiance across a 180° field of view, converting it to heat while the instrument's body acts as a white-painted heat sink to maintain thermal equilibrium and minimize offsets. A hemispherical glass dome, typically made of high-quality glass transmitting from approximately 300 to 3000 nm; advanced models use fused silica or quartz domes to extend the range to as low as 200 nm and up to 4000 nm in some cases (e.g., Hukseflux SR22), protects the sensor; these domes are typically 2–5 mm thick to ensure durability and optical clarity without distorting the cosine response. Modern designs, such as the Hukseflux SR20, incorporate ventilation ports or compatibility with active ventilation units to reduce convection-related errors from air currents or condensation. Operationally, these instruments require precise leveling using integrated levels and adjustable mounts to achieve accuracy within 0.1°, ensuring reliable cosine-weighted measurements of irradiance. Passive or active systems minimize offsets, with unventilated models exhibiting zero offsets below 5 W/m² and ventilated ones under 2.5 W/m² during nighttime shading for corrections. The thermopile's typically ranges from 7 to 15 μV/W/m², providing an analog voltage output that scales linearly with up to 2000 W/m², though individual certificates specify exact values. These pyranometers excel in high-precision applications, serving as reference instruments in meteorological stations within the Baseline Surface Radiation Network (BSRN) for long-term climate monitoring. They are also essential for solar resource assessment in photovoltaic (PV) yield modeling, where accurate irradiance data informs energy production forecasts and system performance analysis. Performance meets ISO 9060:2018 Class A standards, offering ±1.8% uncertainty for daily totals and non-stability below ±0.5% per year, with expected longevity exceeding 10 years when recalibrated every 2 years.

Silicon Photodiode Pyranometers

Silicon photodiode pyranometers employ a p-n junction photodiode as the core sensing element, which produces a voltage output proportional to the flux in the visible and near-infrared spectrum, typically spanning 400–1100 nm. The photodiode is integrated with an optical diffuser, such as a machined Teflon layer angled at 45° or a holographic element, to achieve cosine correction that closely approximates the ideal angular response for hemispherical measurements. Encapsulation in durable materials like black or protects the from environmental factors, while a built-in or regulation system compensates for variations, maintaining stability across operating ranges from -40°C to +60°C. Typical sensitivity for these devices is around 0.2 /W/m², enabling outputs up to several hundred millivolts under full solar conditions. Operationally, these pyranometers feature low power consumption, often under 1 , with self-powered variants drawing from the photodiode's own generation for remote deployments. A spectral filter or the inherent response is tuned to mimic the spectrum under 1.5 conditions, though deviations occur under non-standard spectra like skies, necessitating error correction factors based on angle and atmospheric composition. This photovoltaic detection mechanism ensures rapid response times below 100 ms, far exceeding the speed of alternatives. These instruments find typical use in continuous monitoring for , such as input to crop evapotranspiration models like the Penman-Monteith equation, where their affordability supports large-scale field networks. They also serve educational laboratories for hands-on solar radiation experiments and as secondary references in solar farms to validate primary sensors without high costs. Performance aligns with ISO 9060:2018 Class B specifications, offering ±3% in measurements under standard conditions, with cosine errors under 2% up to 75° angle and temperature dependencies below 4% over wide ranges. Their cost-effectiveness, often under $500 per unit, makes them ideal for expansive monitoring networks in mid-range precision applications.

Photovoltaic Cell Pyranometers

Photovoltaic cell pyranometers employ multicrystalline or cells akin to those in standard photovoltaic panels, incorporating diffusers for cosine response correction across a wide . These sensors operate without an external power source, generating output directly as short-circuit current from the , with an active sensing area of approximately 1 cm². Their operational design ensures a response closely matched to commercial modules, covering the range of 400–1100 nm to accurately reflect conditions relevant for . Integrated on-board allows for selective measurement of diffuse components, while the rugged enclosure supports direct mounting on outdoor arrays in varied environmental conditions. These pyranometers are commonly deployed for performance ratio monitoring in large-scale solar power plants, enabling ongoing assessment of yield against expected outputs. They also facilitate fault detection within PV strings by identifying deviations in exposure and support portable scouting for evaluations prior to installation. Performance characteristics include classification as ISO Class C instruments with a typical uncertainty of ±5% under standard conditions, emphasizing their suitability for practical PV applications. High durability against harsh weather ensures reliable operation, with expected lifespans aligned to those of PV systems at around 25 years.

Calibration and Standardization

Calibration Methods

Pyranometer calibration ensures accurate measurement of by determining the instrument's sensitivity, typically expressed in μV/(W/m²), under standardized conditions such as 1000 W/m² , 20°C , horizontal orientation, and a clear-sky . Common methods include outdoor comparisons using natural , indoor simulations with artificial sources, and transfer calibrations from reference instruments, each selected based on required uncertainty and environmental constraints. These procedures maintain to the World Radiometric Reference (WRR), the international standard for measurements. Outdoor calibration often employs the shade-unshade technique, specified in ISO 9846:2025, where a measures direct under clear-sky conditions, and a shading disk alternately blocks to isolate global horizontal irradiance components. The alternating sun and shade method involves repeated unshaded and shaded measurements with position exchanges between the test pyranometer and reference, minimizing directional errors, while the continuous sun and shade variant uses a shaded reference pyranometer alongside the for simultaneous comparisons. The collimation tube method, another ISO 9846 approach, mounts the test pyranometer on a with a tube to align its precisely with the 's direct . These outdoor methods are performed on sunny days with zenith angles typically between 15° and 75° to ensure stable . Indoor calibration, outlined in ISO 9847:2023 for component tests, uses an and halogen lamps to simulate uniform , transferring from a reference pyranometer previously calibrated outdoors. The Type A procedure involves unshaded and shaded measurements under the lamp beam (approximately 3000 K ) at 1000 /, with instrument position exchanges to average out spatial nonuniformities, and requires identical models to limit and errors. This method provides weather-independent results but demands verification of beam stability and of the reference to natural sunlight spectra. Transfer calibration, also per ISO 9847:2023 (Type B method), compares the test pyranometer to a reference instrument under field conditions or in a controlled setup, deriving the ratio from simultaneous readings over clear-sky periods. The reference pyranometer must itself be traceable to the WRR, ensuring the chain of comparisons yields uncertainties below 1.8% for second-class instruments. This approach is commonly used for field recalibrations, with data averaged over multiple days to reduce variability from atmospheric conditions. Traceability to the WRR is achieved through calibrations at the Physikalisch-Meteorologisches Observatorium /World Radiation Center (PMOD/), where the WRR is realized by the World Standard Group of six cavity , with factors assigned during International Pyrheliometer Comparisons every five years. ISO 9846:2025 methods using directly link to WRR-traceable direct beam measurements, while ISO 9847:2023 indoor and transfer methods rely on references calibrated via ISO 9846. PMOD/ issues certificates for over 100 instruments annually, supporting global networks like the Baseline Surface Radiation Network. Key error sources in calibration include thermal offsets, angular response deviations, and spectral mismatch, each requiring specific corrections for accuracy. Thermal offsets, arising from imbalances between the detector and domes (typically -10 to +5 W/m² in unventilated instruments), are corrected using the shading disk method, where the disk blocks solar input at night or low angles (>105°) to measure baseline offsets, often limited to below 10 W/m² with . Angular response deviations, caused by cosine errors in the instrument's , are characterized during by rotating the pyranometer under collimated light, with corrections applied to limit deviations to <10 W/m² for a 1000 W/m² beam up to 80° angle. The spectral mismatch factor K, defined as the ratio of the instrument's integrated response under actual spectrum to the reference spectrum, accounts for non-flat spectral sensitivities (e.g., in silicon vs. thermopile types), calculated as K = \frac{\int E(\lambda) S(\lambda) d\lambda}{\int E_r(\lambda) S_r(\lambda) d\lambda}, where E and S are irradiance and responsivity, ensuring errors below 1% for matched conditions. Calibration frequency depends on instrument class per ISO 9060:2018, with all classes requiring recalibration at least every two years or after exposure to conditions that may affect calibration to maintain performance within class limits (typically ≤1.8% overall uncertainty at 95% confidence for Class A). Uncertainty budgets for outdoor methods, including pyrheliometer traceability (±0.3%), stability (±0.5%), and angular effects (±0.5%), typically yield overall values of ±1.5% at 95% confidence (k=2). Indoor methods achieve similar or lower uncertainties (<1.5%) when spectral matching is verified.

Classification and Standards

Pyranometers are classified according to the international standard , which categorizes them into three performance-based classes—A, B, and C—based on their accuracy and suitability for various applications. Class A represents secondary standards with the highest precision, achieving performance limits that allow uncertainties typically ≤1.8% (k=2) under reference conditions, suitable for scientific research and reference measurements; Class B denotes first-class instruments with limits allowing ≤3% uncertainty, appropriate for general meteorological monitoring; and Class C indicates second-class devices with ≤5% uncertainty, used for less demanding routine observations. This classification is determined through rigorous testing of spectral selectivity (ensuring flat response across 0.3–3 μm wavelengths), directional response (cosine error under varying solar angles), and thermal characteristics (including zero offsets due to temperature changes). Governing standards extend beyond classification to specific sectors, such as IEC 61724-1:2021 for photovoltaic (PV) system performance monitoring, which mandates Class A or B pyranometers for high-accuracy irradiance measurements in solar energy assessments. The World Meteorological Organization (WMO) provides guidelines in its Guide to Instruments and Methods of Observation (WMO-No. 8, 2024 edition), recommending at least Class B for national meteorological networks and Class A for baseline stations like those in the (BSRN). Additionally, ISO 9846:2025 specifies three methods for calibrating pyranometers using a pyrheliometer as reference: alternating sun and shade, continuous sun and shade, and collimation tube. Calibration serves as a prerequisite for assigning these classes, verifying compliance with the standard's performance thresholds. Compliance testing for classification involves evaluating key parameters, including zero offsets (thermal radiation ≤7 W/m² for Class A, non-zero tilt ≤1 W/m²), temperature response (≤±1% change from -10°C to 40°C), and linearity (deviation ≤0.5% across 0–1000 W/m² irradiance levels). These tests ensure reliable operation under real-world conditions, such as varying solar spectra and environmental temperatures. The adoption of these standards facilitates global interoperability, particularly in networks like the Global Energy Balance Archive (GEBA), where Class A pyranometers are mandatory for establishing accurate research baselines on surface radiation budgets.

Applications and Usage

Meteorological and Research Applications

Pyranometers play a central role in meteorological observations by providing measurements of global solar radiation, which are essential for global radiation networks such as the . Established in 1992 under the , BSRN comprises over 50 stations worldwide that utilize high-precision pyranometers to record continuous, high-quality data on downward shortwave radiation, enabling the detection of long-term trends and validation of satellite-derived irradiances; as of 2025, there are approximately 51 operational stations. These measurements serve as critical inputs to numerical weather prediction models, where observed insolation data from pyranometers improve short-term forecasts of surface solar irradiance by assimilating real-time radiation observations into model initialization processes. Additionally, pyranometers facilitate studies of cloud properties through the analysis of the diffuse fraction of global radiation, as the ratio of diffuse to total irradiance correlates strongly with cloud optical thickness and coverage, allowing retrospective estimation of cloud types and amounts from ground-based records. In scientific research, pyranometers contribute to understanding surface energy balance in ecological systems, particularly within networks like , where they measure incoming shortwave radiation as a key component of the energy budget alongside eddy covariance fluxes of CO2, water vapor, and heat. This integration helps quantify how solar forcing influences carbon uptake and ecosystem productivity, with radiation data essential for closing the energy balance and partitioning net radiation into latent, sensible, and ground heat fluxes. Pyranometers also support the derivation of UV index values by providing broadband solar irradiance data that, when combined with ozone and aerosol models, estimate erythemal UV doses for public health assessments. For long-term climate records, pyranometer observations from extended monitoring sites reveal trends in solar forcing, such as decadal variations in surface irradiance linked to changes in cloudiness and aerosols, informing reconstructions of historical solar variability over periods spanning decades. Thermopile pyranometers, valued for their spectral response matching the solar spectrum, are preferred in these research baselines for their accuracy in capturing total hemispherical irradiance. Standard setup for pyranometer deployment in these applications involves horizontal mounting at approximately 1.5 meters above a uniform surface like short-cut grass to minimize terrain effects and ensure representative sampling of incident radiation, as recommended by World Meteorological Organization guidelines. To distinguish direct and diffuse components, pyranometers are often collocated with pyrheliometers on solar trackers, where the global reading minus the direct normal irradiance yields the diffuse fraction, enhancing the utility of data for atmospheric analyses. Data logging occurs at 1-minute intervals to capture diurnal and short-term variability, with high-frequency sampling (up to 1 Hz) averaged to this resolution for archival in networks like . Pyranometer data have informed key case studies, including their integration into Intergovernmental Panel on Climate Change (IPCC) assessments for evaluating radiative forcing and surface energy budgets, where ground-based irradiance records validate model simulations of solar radiation trends. Measurement errors in pyranometers, such as a ±2% uncertainty in irradiance, can propagate to approximately 5% discrepancies in surface energy balance calculations, particularly affecting albedo-derived estimates of reflected radiation and thus the partitioning of net radiation in climate models.

Solar Energy Systems

In photovoltaic (PV) systems, pyranometers provide critical irradiance measurements as input for yield forecasting, particularly through plane-of-array (POA) irradiance on tilted planes that match module orientations. These measurements enable accurate prediction of energy output by accounting for site-specific solar resource variations, supporting system design and operational planning. For instance, POA data from pyranometers is essential for validating expected performance against actual generation in utility-scale installations. Pyranometers also facilitate soiling detection in PV systems by comparing output ratios, such as the soiling ratio defined as the actual output of soiled modules divided by the expected output from clean references under equivalent irradiance conditions. This approach quantifies dust accumulation effects on transmittance, allowing operators to schedule cleanings that mitigate performance degradation. Soiling-induced losses can reach up to 20% in dusty arid regions, underscoring the need for routine monitoring to maintain efficiency. Compliance with IEC 61724-1 standards requires high-accuracy pyranometer deployments in Class A monitoring systems to ensure bankable data for financing and insurance, specifying uncertainty limits below 2% for irradiance measurements. This standardization enhances investor confidence by providing verifiable performance metrics throughout a PV plant's lifecycle. Silicon photodiode pyranometers, matched to PV spectral response, offer direct correlation for precise yield assessments in these setups. In solar thermal systems, pyranometers monitor incident heat flux to evaluate collector efficiency, serving as the primary input for calculating thermal output relative to absorbed solar energy. For concentrating solar power (CSP) plants, pyranometers measure global horizontal irradiance (GHI) and diffuse horizontal irradiance (DHI), enabling separation models to derive direct normal irradiance (DNI) essential for heliostat and trough performance optimization. Accurate GHI and DHI data ensure reliable assessment of optical and thermal losses in CSP operations. Integration of pyranometers in solar energy systems often involves multi-pyranometer arrays to capture global, diffuse, and tilted irradiance components simultaneously, improving spatial resolution across large installations. These arrays, such as cubic multi-directional configurations, estimate beam and global tilted irradiance without additional shading mechanisms. Wireless networks of pyranometers enable farm-scale mapping of irradiance variability, supporting real-time grid integration and resource allocation in utility-scale solar farms. Accurate irradiance data from such systems can reduce levelized cost of energy (LCOE) by minimizing yield prediction uncertainties and lowering financial risks through enhanced operational efficiency. Challenges in pyranometer deployment for solar energy include soiling losses, which can accumulate to 20% in dusty environments and distort irradiance readings if unaddressed. Real-time correction methods employ reference cells alongside pyranometers to detect and adjust for soiling discrepancies, ensuring reliable data for performance evaluation and maintenance scheduling.

Signal Processing

Analog Signal Conditioning

Analog signal conditioning in pyranometers involves the initial electronic processing of raw sensor outputs to enhance signal quality, amplify low-level signals, and mitigate environmental interferences before further acquisition. This step is essential for thermopile and photovoltaic-based sensors, which produce microvolt or nanoampere-level signals proportional to solar irradiance, typically requiring conversion to measurable voltage levels in the millivolt to volt range. For thermopile pyranometers, the output is a low-level differential voltage, often in the range of 5–20 µV per W/m², necessitating voltage amplification with gains of 100–1000 using operational amplifiers or instrumentation amplifiers to scale signals to 0–5 V or 0–10 V for compatibility with data systems. A nominal gain of 500 is common for bipolar inputs from floating thermopile sources, ensuring sufficient resolution for irradiance up to 1400 W/m². Photovoltaic pyranometers, employing silicon photodiodes, generate photocurrents on the order of nanoamperes to microamperes, which are converted to voltage via transimpedance amplifiers featuring feedback resistors typically around 1 MΩ to produce outputs of several volts at full-scale irradiance. This current-to-voltage conversion maintains linearity while providing a high-impedance input to prevent loading the sensor. Noise reduction is achieved through low-pass RC filters with cutoff frequencies of 0.1–1 Hz, tailored to the sensor's response time constant of several seconds, effectively attenuating high-frequency electromagnetic interference and amplifier noise without distorting the slowly varying irradiance signal. Offset nulling circuits, often integrated with chopper-stabilized op-amps, compensate for thermal drifts in amplifiers and sensors, minimizing baseline errors to below 1 µV. Key components include shunt resistors for scaling current outputs in photovoltaic configurations, typically 100–500 Ω to convert to proportional voltages, and temperature compensation circuits utilizing PT100 resistance temperature detectors embedded in the sensor body to adjust gain and offset for thermal variations across -40°C to +70°C. These PT100 sensors provide resistance-based feedback to op-amp circuits, reducing temperature-induced errors in sensitivity by up to 0.1% per °C. Error mitigation incorporates instrumentation amplifiers with high common-mode rejection ratios (>100 dB) to suppress from power lines or RF sources, ensuring over cable runs up to 300 m. Bandwidth is matched to the pyranometer's (1–30 s) via adjustable filter poles, preventing overshoot while preserving dynamic response to changes.

Digital Data Acquisition

Digital data acquisition in pyranometers involves the conversion of conditioned analog signals from the into digital format, enabling precise recording and analysis of measurements. Typically, analog-to-digital converters () with resolutions ranging from 12 to 24 bits are employed to digitize the voltage output, ensuring high fidelity in capturing variations down to milliwatts per square meter. For instance, the SR20-D2 pyranometer utilizes a 24-bit to achieve this precision. Sampling rates generally operate between 1 and 60 Hz, with 1 Hz being standard for routine monitoring and higher rates up to 60 Hz applied in or high-resolution studies to resolve rapid fluctuations in solar radiation. Recording of digitized data is handled by dedicated dataloggers, often featuring storage for robust, long-term retention of measurements. Integration periods conform to (WMO) standards, aggregating data over 1 to 60 minutes to produce averages that minimize noise while capturing diurnal patterns; 1-minute intervals are recommended for detailed analysis, while hourly sums support broader meteorological reporting. Timestamping ensures data traceability, frequently synchronized via integrated GPS receivers in modern loggers to provide accurate UTC timing and location metadata, preventing drift in long deployments. Initial analysis occurs through embedded or companion software that applies corrections to raw digital data, enhancing accuracy beyond the analog stage. Cosine errors, arising from non-ideal angular responses, and temperature dependencies are mitigated using polynomial algorithms; for example, a fourth-order polynomial corrects temperature effects in SMP series pyranometers, limiting deviations to under 1% across -40°C to +70°C. Quality checks include thresholds on the clearness index (Kt), defined as the ratio of measured global horizontal irradiance to extraterrestrial irradiance, to flag anomalies such as cloud cover inconsistencies or instrument faults, with Kt values typically ranging from 0.05 to 0.8 under varying sky conditions. Contemporary pyranometers incorporate IoT capabilities, such as Modbus RTU output over RS-485 interfaces, facilitating seamless integration with supervisory control and data acquisition (SCADA) systems or networked sensors. Cloud-based platforms enable remote upload and access, allowing real-time monitoring and automated backups from field deployments. Quantization effects from the ADC contribute negligibly (<0.1%) to the overall measurement uncertainty. Per WMO guidelines, the total uncertainty for daily sums is approximately ±2%, alongside calibration traceability to the World Radiometric Reference (WRR).

References

  1. [1]
    What is a pyranometer? | Hukseflux
    A pyranometer is a device that measures solar irradiance from a hemispherical field of view incident on a flat surface.
  2. [2]
    (PDF) A Pyranometer for Solar Radiation Measurement-Review
    Feb 11, 2021 · This paper reviews the pyranometer to measure solar radiation, to assess the availability of solar energy arriving on Earth.<|control11|><|separator|>
  3. [3]
    Pyranometers: A Comprehensive Guide - ISO-CAL North America
    Sep 16, 2024 · A pyranometer is a device designed to measure the solar irradiance from a hemispherical field of view. It records the amount of solar energy ...
  4. [4]
    [PDF] a brief history of measuring instruments for solar radiation
    Albrecht, in the early 1930s, proposed a pyranometer (pyrradiometer), for the measurement of total solar irradiance (total solar radiation) [14] which had as ...
  5. [5]
    Pyranometers - The University of Nottingham
    The thermopile sensor construction measures the solar energy that is received from the total solar spectrum and the whole hemisphere (180 degrees field of view) ...
  6. [6]
    Instrument Record: Pyranometer - The CEDA Catalogue
    A pyranometer is a sensor that is designed to measure the solar radiation flux density (in watts per metre square) from a field of view of 180 degrees.
  7. [7]
    What is a Pyranometer? — HuksefluxUSA
    Sep 29, 2021 · A pyranometer is a scientific instrument used to measure the total amount of solar radiation, both direct and diffuse, received by a surface.
  8. [8]
    Pyranometers: What You Need to Know - Campbell Scientific
    Jun 14, 2017 · A pyranometer is a sensor that converts the global solar radiation it receives into an electrical signal that can be measured.
  9. [9]
    [PDF] 99 YEARS OF GLOBAL RADIATION OBSERVATIONS IN ...
    The Ångström electrical compensation pyrheliometer invented by Knut Ångström 1893 in. Uppsala. The Ångström pyranometer was developed by Anders Ångström 1919.
  10. [10]
    The Working Principle of a Thermopile Pyranometer - Kipp & Zonen
    Jan 13, 2015 · Since 1913, Kipp & Zonen had been manufacturing, for the measurement of thermal radiation and light, a fast and sensitive thermopile (made up of ...Missing: commercialization | Show results with:commercialization
  11. [11]
    [PDF] International Radiation Commissions 1896 to 2008
    a pyranometer. Further, a new device was developed to record long-wave radiation even during the day. Ramdas also reported on investigations of Momin on a ...<|control11|><|separator|>
  12. [12]
    Silicon-photodiode pyranometers: Operational characteristics ...
    Oct 8, 2025 · Small, low-cost, silicon-photodiode pyranometers are now widely used for solar irradiance measurements associated with solar thermal and ...
  13. [13]
    ISO 9846:2025 - Solar energy — Calibration of a pyranometer using ...
    In stock 2–5 day deliveryThis document specifies calibration methods for a pyranometer using a pyrheliometer as a reference instrument. Three methods are specified in this document.
  14. [14]
    SP-510-SS Upward-Looking Thermopile Pyranometer
    In stock Free delivery over $499The SP-510 is an upward-looking thermopile pyranometer with an analog output of 0 to 100 mV. The sensor incorporates a blackbody thermopile detector and acrylic ...Missing: ventilated 2010s
  15. [15]
    Pyranometer calibration: everything you need to know - Hukseflux
    This standard classifies pyranometers into three levels of accuracy: A (High accuracy), B (Medium accuracy), and C (Basic accuracy). Not calibrating your ...
  16. [16]
    The Working Principle of a Thermopile Pyranometer | OTT HydroMet
    The thermoelectric detection principle is used, whereby incoming radiation is almost completely absorbed by a horizontal blackened surface, over a very wide ...
  17. [17]
    Solar radiation sensors: become a pyranometer expert - Hukseflux
    Pyranometers work using a thermopile sensor. The thermopile can transform the radiation from a temperature difference to a voltage, thanks to the Seebeck effect ...
  18. [18]
    Pyranometer Thermal Offset: Measurement and Analysis in
    The CM11 pyranometer manufactured by Kipp and Zonen is based on the Moll–Gorczynski thermopile and it is formed by 100 thermocouples. The sensing element is ...
  19. [19]
    A New and Inexpensive Pyranometer for the Visible Spectral Range
    Thus, while photodiode-based pyranometers have a response time of around 10 μs [6], in those based on thermopiles, response time ranges between 1 and 10 s, thus ...
  20. [20]
    Pyranometers: all you need to know - Hukseflux
    At Hukseflux, our pyranometers usually consist of a thermopile sensor with a black coating, one or two glass domes, an anodised aluminium body, and a housing.
  21. [21]
    [PDF] Chapter 5 Photodetectors and Solar Cells - Cornell University
    The basic principle used in avalanche photodiodes is that if photogenerated electrons and holes are accelerated to high energies in an electric field then they ...
  22. [22]
    [PDF] PHOTODIODE BASED PYRANOMETER - IRAJ International
    Silicon-Photodiode pyranometers: operational characteristics, historical experiences, and new calibration procedures. In Proceedings of the 26th PVSC ...Missing: 1980s | Show results with:1980s<|control11|><|separator|>
  23. [23]
    [PDF] Quantitative Analysis of Spectral Impacts on Silicon Photodiode ...
    Inexpensive broadband pyranometers with silicon photodiode detectors have a non-uniform spectral response over the spectral range of 300–1100 nm. The response.
  24. [24]
    LI-200R Pyranometer | LI-COR Environmental
    Sensitivity: Typically 75 μA per 1,000 W m-2; Linearity: Maximum deviation of 1% up to 3,000 W m-2; Response Time: Less than 1 μs (2 m cable terminated into a ...Missing: m² | Show results with:m²
  25. [25]
    [PDF] SILICON SENSORS VS. PYRANOMETERS - Fraunhofer-Publica
    Sep 11, 2020 · Here, 𝛼 is the temperature coefficient in 1/°C that is provided from the calibration laboratories at Fraunhofer. ISE as 0.00034/°C for this ...
  26. [26]
    [PDF] PHOTOVOLTAIC PYRANOMETERS Vs. THERMOPILE ...
    THERMOPILE PYRANOMETER : radiation sensor for solar irradiance measurement through a thermopile, measures using the. Seebeck principle. ... measurement principles ...
  27. [27]
    SR20 pyranometer | Hukseflux
    SR20 pyranometer uses a state of the art thermopile sensor with black coated surface, two domes and an anodised aluminium body. The connector, desiccant holder ...
  28. [28]
    [PDF] SR20 Analogue Class A pyranometer user manual - Hukseflux
    This is solved by regular recalibration. • moisture condensing under pyranometer domes resulting in a slow change of sensitivity (within specifications). This ...
  29. [29]
    VU01 ventilation unit - Pyranometers - Hukseflux
    VU01 is a high-quality ventilation unit for use with pyranometers and pyrgeometers. Its purpose is to improve the dependability of the measurement.Missing: sensitivity | Show results with:sensitivity
  30. [30]
    CMP21 spectrally flat Class A pyranometer - Kipp & Zonen
    It is the choice for scientific use and in top level solar radiation monitoring networks such as the BSRN (Baseline Surface Radiation Network) of the WMO (World ...
  31. [31]
    Pyranometer Knowledge - Ammonit Measurement GmbH
    ISO 9060:2018 PYRANOMETER SPECIFICATIONS, CLASS A, CLASS B, CLASS C. Old ISO ... Achievable uncertainty (95% confidence level) Hourly totals. Daily totals. 3 ...
  32. [32]
    Silicon Cell Pyranometer Support - Apogee Instruments
    Free delivery over $499 30-day returnsSilicon-cell Pyranometer Support ; Spectral Range, 360 to 1120 nm, 360 to 1120 nm ; Directional (Cosine) Response, ± 5 % at 75° zenith angle, ± 5 % at 75° zenith ...
  33. [33]
  34. [34]
    (PDF) Research on performance test method of silicon pyranometer
    Dec 15, 2020 · ... Photodiode Pyranometers: Operational Characteristics, Historical Experiences, and New. Calibration Procedures[C]. 26th IEEE Photovoltaic ...
  35. [35]
    [PDF] 094 Solar Radiation Sensor - Met One Instruments
    Packing ISO 9060. Second Class performance at the price of a silicon photodiode sensor, the Model 094 pyranometer makes reliable, bankable data more affordable ...<|control11|><|separator|>
  36. [36]
    Si-Sensor - Reference Cell for PV Monitoring - IMT Technology
    Measure the irradiance intensity on your photovoltaics system precisely at an affordable price with IMT Technology's robust silicon solar irradiance sensors ...PV Reference Cells · Accessories · BigRefMissing: diffuser short circuit current
  37. [37]
    Photovoltaic and Thermopile Pyranometers: Let's get some clarity on ...
    Jul 25, 2022 · Pyranometers are precision instruments used to measure solar irradiance, a critical parameter in photovoltaic (PV) system performance ...
  38. [38]
    [PDF] Pyranometers versus reference cells for solar monitoring | PV Tech
    Reference cells are inferior indica- tors of irradiance, and their function is different from that of pyranometers. Designed for the specific purpose of.
  39. [39]
    [PDF] Best Practices for Operation and Maintenance of Photovoltaic and ...
    ... efficiency and energy delivery (kWh/kW), decrease downtime (hours/year), extend system lifetime (e.g., from 25 to 40 years for PV modules), reduce cost of ...
  40. [40]
    [PDF] Hukseflux - ISO 9847 & ASTM G207 CALIBRATION
    The indoor calibration method of ISO 9847, type. IIc works by transferring the sensitivity of a calibration reference sensor to an identical test sensor under a ...
  41. [41]
    Pyranometer Calibration Methods Explained: ISO 9847 vs. ISO 9060
    Oct 30, 2025 · ISO 9847 describes the standard method for calibrating a field pyranometer by comparison to a reference pyranometer under natural sunlight ...Missing: shade- unshade indoor transfer 9846
  42. [42]
    Solar Radiometry - PMOD/WRC
    The World Standard Group (WSG) is a group of six cavity pyrheliometers which define the World Radiometric Reference (WRR). The WRR was first defined in 1977 ...
  43. [43]
    [PDF] LP02 pyranometer user manual v1606 - Profec Ventus Online Shop
    Calibration traceability to WRR. Calibration hierarchy from WRR through ISO 9846 and ISO 9847, applying a correction to reference conditions. Calibration method.
  44. [44]
    [DOC] ARM TR-008 - Atmospheric Radiation Measurement
    ... corrected for thermal offsets. ARM will use a correction method ... offset ... A solar tracker is used to position a shading disk or ball above a pyranometer for ...
  45. [45]
    [PDF] Reference pyranometer calibration procedures in national radiation ...
    measurements were corrected for the thermal offset. • The thermal offset was calculated as mean voltage measured by the solar zenith angles bigger than 105 ...Missing: disk | Show results with:disk
  46. [46]
    Improving the Irradiance Data Measured by Silicon-Based Sensors
    May 12, 2021 · This study aims to examine the differences in the readings of thermopile pyranometer and silicon sensor at a timescale of minutes, days, months ...Missing: emergence | Show results with:emergence
  47. [47]
    [PDF] Comparison of Pyranometers vs. PV Reference Cells for Evaluation ...
    Jun 8, 2012 · The “Thermal Offset” error term refers to a now well-known negative-bias error in thermopile-based pyranometer irradiance measurements [1,11].
  48. [48]
    [PDF] Uncertainty in Pyranometer and Pyrheliometer Calibrations Using ...
    Sep 27, 2010 · Pyranometers: < 1.5%, depending on the valid z-range. Pyrheliometers: < 1%, depending on the valid z-range. NATIONAL RENEWABLE ENERGY LABORATORY.
  49. [49]
    The new ISO 9060:2018 standard. Do your pyranometers comply?
    The new ISO 9060:2018 standard has stricter requirements, including individual temperature and directional response tests for Class A pyranometers. Hukseflux ...Missing: uncertainty | Show results with:uncertainty
  50. [50]
    [PDF] INTERNATIONAL STANDARD ISO 9060
    This second edition cancels and replaces the first edition (ISO 9060:1990), which has been technically ... 7f9a0a2f3b43/iso-9060-2018.
  51. [51]
    Guide to Instruments and Methods of Observation (WMO-No. 8)
    The WMO-No. 8 guide covers measurement of meteorological variables, cryospheric variables, observing systems, space-based observations, and quality assurance.
  52. [52]
    [PDF] Baseline Surface Radiation Network (BSRN) - ESSD Copernicus
    BSRN began its work in 1992 with 9 stations; currently (status 2018-01-01), the network comprises 59 stations (delivering data to the archive) and 9 candidates ...
  53. [53]
    Validation of GOES-Based Surface Insolation Retrievals and Its ...
    In this study, the NASA/UAH insolation product is compared to surface pyranometer measurements from the Surface Radiation Budget Network (SURFRAD) and the U.S. ...
  54. [54]
    Estimating Cloud Type from Pyranometer Observations in
    In this paper the authors evaluate an inexpensive and automatable method to estimate cloud type at a given location during daylight hours.
  55. [55]
    [PDF] Energy Balance Closure at FLUXNET Sites - UNL Digital Commons
    Energy balance closure was evaluated across 22 FLUXNET sites. A general lack of closure was found, with a mean imbalance of 20%.Missing: pyranometer | Show results with:pyranometer
  56. [56]
    Derivation of UV-A irradiance from pyranometer measurements
    Dec 20, 1999 · The use of a model to derive past UV data necessarily involves assumptions about these factors, usually that they are statistically stationary.
  57. [57]
    [PDF] Long-term series and trends in surface solar radiation in Athens ...
    Feb 19, 2018 · The SSR data used in this study cover the period from De- cember 1953 to December 2012 and were measured by a se- ries of pyranometers that are ...
  58. [58]
    [PDF] CM 22 Pyranometer - Manual - Kippzonen.com
    The CM 22 pyranometer measures irradiance from direct and diffuse solar radiation, with low directional error and improved zero offset.
  59. [59]
    The energy balance over land and oceans: an assessment based ...
    Dec 11, 2014 · We evaluate these budgets as represented in 43 CMIP5 climate models with direct observations from both surface and space and identify substantial biases.
  60. [60]
    [PDF] Correction of broadband snow albedo measurements affected ... - TC
    Apr 6, 2016 · The energy balance of snow and ice surfaces is strongly de- termined by its short-wave surface reflectivity (albedo). Once the underlying snow/ ...Missing: propagation | Show results with:propagation
  61. [61]
    (PDF) Measuring Solar Irradiance for Photovoltaics - ResearchGate
    POA solar irradiance can be measured with pyranometers, silicon pyranometers,. and reference cells. These measurements are necessary for PV site prospecting,.
  62. [62]
    [PDF] A case for accuracy: Pyranometer or satellite irradiance data?
    On-site POA measurements are most important, since this parameter is a major input for monitoring the expected yield and performance of the solar plant. Unlike.
  63. [63]
    [PDF] Soiling Losses – Impact on the Performance of Photovoltaic Power ...
    This report discusses the impact of soiling losses on the performance of photovoltaic power plants, as part of IEA PVPS Task 13.
  64. [64]
    [PDF] Measuring PV System Soiling Losses
    Dec 6, 2017 · Measure, Compare,. Analyze. Soiling Ratio = Actual Output of Soiled PV. Expected Output Based on Clean PV. Soiling Loss = SL = 1 - SR. Page 5 ...
  65. [65]
    Long-Term Effects of Soiling on Utility-Scale Solar Systems (U.S.)
    Jun 18, 2025 · For example, one California study noted PV efficiency dropping roughly 20% over a 3–4 month dry period due to dust buildup. Over a full year, ...
  66. [66]
    Quick facts on the IEC 61724-1 standard for PV stakeholders
    Jun 16, 2018 · It outlines equipment, methods, and terminology for performance monitoring and analysis of photovoltaic (PV) systems.
  67. [67]
    The IEC 61724-1:2021 standard for PV monitoring systems - Hukseflux
    The 61724-1 standard for PV system performance monitoring has been revised. The latest version, released July 2021, defines 2 “accuracy classes”.
  68. [68]
    Choosing the Best Pyranometer for Your Solar Resource ...
    Oct 16, 2024 · The ISO 9060:2018 and IEC 61724-1:2021 standards guide the industry in solar irradiance measurement and PV system performance monitoring. ISO ...<|control11|><|separator|>
  69. [69]
    Thermal Investigation of Solar Collector with Variable Solar Flux ...
    The solar radiation intensity is measured using a digital pyranometer. The solar simulator investigation achieved solar air collector efficiencies of 67%, 78%, ...
  70. [70]
    Estimating global irradiance on tilted surfaces using a cubic multi ...
    Feb 17, 2022 · The multi-directional pyranometer array is a method for estimation of the global irradiance on a tilted plane and the direct irradiance ...
  71. [71]
    A Multi-Directional Pyranometer (CUBE-i) for Real-Time ... - MDPI
    The devices can measure direct and diffuse solar irradiance by excluding either the direct or diffuse component, thereby determining direct and diffuse ...
  72. [72]
    [PDF] High-Fidelity Solar Power Monitoring and Forecasting for Utility
    The wireless sensor network designed for this project was found to be a low-cost solution for obtaining spatially resolved irradiance over solar farms. • ...
  73. [73]
    [PDF] Uncertainties in Yield Assessments and PV LCOE | IEA-PVPS
    A reduction in the uncertainty of the energy yield can lead to higher values for a given exceedance probability and hence a stronger business case. Various ...
  74. [74]
    Effect of pyranometer soiling on the PV performance ratio evaluation ...
    Highlights. Pyranometer soiling underestimates PV module soiling rate by 30–43%, affecting performance evaluations.
  75. [75]
    Autonomous measurement system for photovoltaic and radiometer ...
    Nov 12, 2022 · To automatically detect the parameters required for the calculation of the soiling loss, the illumination intervals are detected as time stamps ...
  76. [76]
    Thermopile radiometer signal conditioning for surface atmospheric ...
    Nov 20, 2006 · High frequency noise generated within the front end amplifier IC1 is reduced by the low pass filter formed by R3 and C3, and an additional ...<|separator|>
  77. [77]
    AMPBOX signal amplifier - Kipp & Zonen
    With the AMPBOX the output of radiometers is amplified to an output of 2 to 10 Volt.
  78. [78]
    A New and Inexpensive Pyranometer for the Visible Spectral Range
    This paper presents the design, construction and testing of a new photodiode-based pyranometer for the visible spectral range (approx. 400 to 750 nm)Missing: cm2 400-1100 monocrystalline<|separator|>
  79. [79]
    [PDF] Quality Assurance Handbook for Air Pollution Measurement Systems
    Mar 24, 2008 · Please provide the frequency of calibration for the following: 6 ... SR sensor ≤ ± 5% of First Class Pyranometer. Initially,. 1/6 months.
  80. [80]
    [PDF] Meteorological measurement systems
    analog signal conditioning as a thermopile combines multiple individual thermocou- ple outputs to form the composite voltage output. When the radiometer is ...
  81. [81]
    [PDF] Pyranometer digital secondary standard SR20-D2 user manual
    These industry standards allow for easy data acquisition, easy read-out and error-free instrument exchange when using SR20-D2. SR20-D2 measures the solar ...
  82. [82]
    Design and Test of a High-Performance Wireless Sensor Network ...
    The network was based on WiFi, comprised 16 pyranometers, and proved to be stable at sampling periods up to 25 ms, providing detailed spatial representations of ...
  83. [83]
    [PDF] Instruction Manual - SMP series • Smart Pyranometer
    Jan 1, 2015 · The height above the surface (H) depends upon its roughness. The WMO recommends a height of 1 m to 2 m above a uniform surface covered by short ...
  84. [84]
    [PDF] Guide to Meteorological Instruments and Methods of Observation
    One of the purposes of the World Meteorological. Organization (WMO) is to coordinate the activities of its 188 Members in the generation of data and.
  85. [85]
    How to measure solar radiation? - Hukseflux
    Want to measure solar radiation? Follow these instructions to get accurate and reliable solar radiation data from your pyranometer.
  86. [86]
    SymphoniePRO® Data Logger - Solar - NRG Systems
    SymphoniePRO is an industrial-grade, low-power data logging system that is specifically designed for conducting resource assessments for the renewable energy ...Missing: IoT | Show results with:IoT
  87. [87]
    Quality control of global solar radiation data with satellite-based ...
    Equipment errors are inherent to the type of pyranometer used and the calibration applied, and include the zenithal error (cosine error), azimuthal error, ...
  88. [88]
    Suncertainty: the Kipp & Zonen pyranometer uncertainty calculator
    Jun 20, 2016 · Conversely, the probability that the measured value is more than 2% from the true value is only 5%. The reported uncertainty in Suncertainty ...Missing: quantization | Show results with:quantization