Abstract: A method of detecting outliers in measured values of a measurand is disclosed, comprising the steps of: based on training data determining a combined distribution of differences between individual measured values and the filtered value of the measured value preceding the respective individual measured value to be expected in the application where the method is applied based on difference distribution of first differences of the filtered values of the measured values and a noise distribution of noise included in the measured values. Next, new measured values are identified as outliers when a probability of occurrence of a difference between the respective new measured value and the filtered value of the preceding measured value according to the combined distribution is lower than a predetermined level of confidence.

Abstract: A method of filtering measured values comprises: based on recorded data including the measured values parametrizing a filter by: setting a filtering strength of the filter to an initial filtering strength, filtering the measured values and determining a fractal dimension of the filtered values, and iteratively repeating this process by: increasing the filtering strength, filtering the measured values and determining the fractal dimension of the filtered values until a decay of the fractal dimensions determined at the end of each iteration drops below a threshold. Next, the filter is put into operation based on a parametrization corresponding to the filtering strength employed in the last iteration and a filtering result of the measured values is determined and provided.

Abstract: Disclosed is a method of monitoring a condition of objects in a piping system in which each object has a surface exposed to a product flowing through a pipe in the piping system. The method allows for the condition of each object to be monitored whilst the object remains in place. The method includes repeatedly measuring a resonance frequency of an oscillatory element of a vibratory device that is installed in the pipe and that exhibits a susceptibility to an impairment caused by accretion, abrasion, and/or corrosion corresponding to the respective susceptibilities of the objects. The resonance frequency of the vibratory device is reduced by accretion and increased by corrosion and by abrasion of its oscillatory element. The method further includes monitoring the condition of the objects based on the measured frequencies.

Abstract: The method includes a step of determining a degree of compliancy of the device. Based on said degree of compliancy determining a recommended interval for the next calibration of the respective device and determining a ratio of the recommended interval and the calibration time interval currently applied to this device, reviewing the calibration time intervals based on said ratios and a predetermined set of ratio ranges by: for each device performing a procedure predetermined for the ratio range comprising the ratio determined for the respective device and updating the calibration time interval applied to the respective device, and determining the time schedule providing scheduled calibrations times at which the devices shall be calibrated again based on the updated calibration time intervals determined for each of the devices and performing the next calibrations of the devices according to the scheduled calibration times.

Abstract: A method of monitoring a condition prevailing inside a piping system with respect to an impairment due to accretion, abrasion or corrosion caused by fluid(s) flowing through the piping system is disclosed, comprising the steps of: installing at least two measurement devices susceptible to an impairment and configured to measure variables indicative of the impairment; wherein the measured variables include at least two variables exhibiting a different dependency on the impairment; continuously recording data including time series of measured values of the variables measured; based on training data included in the data determining a dynamic reference behavior of the variables corresponding to time dependent distributions of values of the variables to be expected of the measured values when the measurement devices are unimpaired; repeatedly determining a deviation between a monitored behavior of the measured values of the variables and the reference behavior.

Abstract: A method for monitoring a measurement variable and performing predictive monitoring of a compliancy of a characteristic of a field device to a requirement is described. The method includes a step of determining a deviation between a measured value of a monitored variable and a reference value of the monitored variable. The deviation is indicative of a degree of compliancy to the requirement. The method also includes a step of applying a filter to the deviations based on the deviations and the filtered deviations. The method further includes a step of determining a noise superimposed on the filtered deviations. At the end of a monitoring interval, a time remaining until the deviations will exceed the deviation range is determined using a Monte Carlo simulation.

Abstract: A method of determining an interface height in a container of a thickener includes measuring said interface height with a level measurement device during time periods, when conditions permit, measuring process variables related to the thickening process performed by the thickener and calculating and providing a calculated interface height, wherein a calculating unit is designed to learn said calculation based on said measured interface heights and said measured process variables.

Abstract: A method of predictive monitoring of a variable of a medium located in a container of a facility comprises steps of continuously recording data comprising measured values, based on training data determining a classification method capable of identifying data sets that have each been measured during one of the specific operation phases, performing the classification method and based on the data sets identified by the classification method determining a time series of compliancy indicators indicative of a degree of compliancy of at least one property of the characteristic of the measured values to a corresponding reference property of the reference characteristic. Based on the time series at least once determining a time remaining until the degree of compliancy indicated by compliancy indicators will drop below a predetermined minimum degree of compliancy; and providing an output informing about the remaining time.

Abstract: Disclosed is a method for detecting a fault condition in the measurement of the level of a medium in a tank having a floating roof. The method uses a radar level gauge to measure the level of the floating roof and a level measuring device to measure the level of the medium. The method includes recording the level of the floating roof during a defined time interval that comprises some filling/emptying cycles of the medium, recording the level of the medium during said time interval, determining the deviations between the level of the medium and the corresponding level of the floating roof, centering the deviations between the level of the medium and the level of the floating roof reduced by the thickness of the floating roof with the corresponding level data, and generating an alert message when the centered deviations exceed a tolerance threshold.

Abstract: Disclosed is a method of monitoring a condition of objects in a piping system in which each object has a surface exposed to a product flowing through a pipe in the piping system. The method allows for the condition of each object to be monitored whilst the object remains in place. The method includes repeatedly measuring a resonance frequency of an oscillatory element of a vibratory device that is installed in the pipe and that exhibits a susceptibility to an impairment caused by accretion, abrasion, and/or corrosion corresponding to the respective susceptibilities of the objects. The resonance frequency of the vibratory device is reduced by accretion and increased by corrosion and by abrasion of its oscillatory element. The method further includes monitoring the condition of the objects based on the measured frequencies.

Abstract: Disclosed is a method of determining the remaining time interval until a measurement characteristic of a field device will have drifted outside of a predetermined tolerance range and a service action is required. The method includes predetermining a maximum tolerance of the measurement characteristic correlated/related to the measuring performance of the field device; registering continuously the measurement characteristic of the field device; estimating a lag time interval wherein the estimated lag time interval depends on the drift of the measurement characteristic of the field device in the process specific application; using a method of Artificial Intelligence to determine, at the end of the estimated lag time interval, the remaining time interval until the measurement characteristic of a field device will have drifted outside the predetermined maximum tolerance; and generating a message informing of the remaining time interval until the service action is required.

Abstract: Disclosed is a method for detecting a fault condition in the measurement of the level of a medium in a tank having a floating roof. The method uses a radar level gauge to measure the level of the floating roof and a level measuring device to measure the level of the medium. The method includes recording the level of the floating roof during a defined time interval that comprises some filling/emptying cycles of the medium, recording the level of the medium during said time interval, determining the deviations between the level of the medium and the corresponding level of the floating roof, centering the deviations between the level of the medium and the level of the floating roof reduced by the thickness of the floating roof with the corresponding level data, and generating an alert message when the centered deviations exceed a tolerance threshold.

Abstract: The present disclosure concerns a method for detecting the tilt of a roof floating on a medium in a tank, wherein a radar level gauge is mounted in a fixed position on the tank and emits signals in the direction of the roof. The method includes: determining and recording the level of the floating roof during a period of time including some filling/emptying cycles of the medium in the tank, detecting and recording the echo amplitudes of the echo signals during said period of time, filtering the echo amplitudes and recording the filtered echo amplitudes, calculating the gradient of the filtered echo amplitudes, calculating a threshold value for a tolerable deviation of the gradient of the filtered echo amplitudes, and generating an alert message that a roof tilting is detected if the deviation of the gradient falls behind the threshold.

Abstract: A method of determining a calibration or maintenance time interval after which a specific measurement device of a given type for measuring a quantity to be measured on a measurement site of an industrial site shall be re-calibrated or maintained is described, comprising the steps of: determining a criticality (C) of the specific device, based on the criticality (C) setting a reliability target (RT) for the device, wherein the reliability target (RT) denominates the probability of the device to be compliant according to a predefined criterion at the end of the calibration or maintenance time interval to be determined by this method, defining compliancy ranges for a measurable degree of compliance of the device, selecting a reliability model for a reliability of the device as a function of a normalized time interval (tn) and a set of at least one parameter (c1, . . .

Abstract: A method for monitoring a measurement variable and performing predictive monitoring of a compliancy of a characteristic of a field device to a requirement is described. The method includes a step of determining a deviation between a measured value of a monitored variable and a reference value of the monitored variable. The deviation is indicative of a degree of compliancy to the requirement. The method also includes a step of applying a filter to the deviations based on the deviations and the filtered deviations. The method further includes a step of determining a noise superimposed on the filtered deviations. At the end of a monitoring interval, a time remaining until the deviations will exceed the deviation range is determined using a Monte Carlo simulation.

Abstract: Disclosed is a method of determining the remaining time interval until a measurement characteristic of a field device will have drifted outside of a predetermined tolerance range and a service action is required. The method includes predetermining a maximum tolerance of the measurement characteristic correlated/related to the measuring performance of the field device; registering continuously the measurement characteristic of the field device; estimating a lag time interval wherein the estimated lag time interval depends on the drift of the measurement characteristic of the field device in the process specific application; using a method of Artificial Intelligence to determine, at the end of the estimated lag time interval, the remaining time interval until the measurement characteristic of a field device will have drifted outside the predetermined maximum tolerance; and generating a message informing of the remaining time interval until the service action is required.

Abstract: A method of determining a calibration or maintenance time interval after which a specific measurement device of a given type for measuring a quantity to be measured on a measurement site of an industrial site shall be re-calibrated or maintained is described, comprising the steps of: determining a criticality (C) of the specific device, based on the criticality (C) setting a reliability target (RT) for the device, wherein the reliability target (RT) denominates the probability of the device to be compliant according to a predefined criterion at the end of the calibration or maintenance time interval to be determined by this method, defining compliancy ranges for a measurable degree of compliance of the device, selecting a reliability model for a reliability of the device as a function of a normalized time interval (tn) and a set of at least one parameter (c1, . . .

Abstract: A method of determining a calibration or maintenance time interval, comprising the steps of: determining a criticality of the specific device, based on the criticality setting a reliability target for the device, wherein the reliability target denominates the probability of the device to be compliant according to a predefined criterion at the end of the calibration or maintenance time interval; defining compliancy ranges for a measurable degree of compliance of the device; selecting a reliability model for a reliability of the device as a function of a normalized time interval and a set of at least one parameter from a variety of predefined reliability models, determining a separate set of parameters for the selected reliability model for each of the compliancy ranges based on prescribed reliability expectation values for each of the error ranges, which a reliability function associated with this error range shall comply to at at least one predefined normalized time, determining the degree of compliance of th

Abstract: The present disclosure concerns a method for detecting the tilt of a roof floating on a medium in a tank, wherein a radar level gauge is mounted in a fixed position on the tank and emits signals in the direction of the roof. The method includes: determining and recording the level of the floating roof during a period of time including some filling/emptying cycles of the medium in the tank, detecting and recording the echo amplitudes of the echo signals during said period of time, filtering the echo amplitudes and recording the filtered echo amplitudes, calculating the gradient of the filtered echo amplitudes, calculating a threshold value for a tolerable deviation of the gradient of the filtered echo amplitudes, and generating an alert message that a roof tilting is detected if the deviation of the gradient falls behind the threshold.

Abstract: A method of in line verification of a flow meter installed in a flow line by means of one or two ultrasonic clamp on flow meters to be installed in line with the flow meter u?, comprising a preparatory phase, during which a virtual pipe diameter is determined, which if it had been applied during the simultaneous measurements would have minimized the differences between the measured flow indications of the flow meter and the measured flow indications, and comprising a verification phase, during which the ultrasonic flow meters are set up to determine their measured flow indications based on the virtual pipe diameter, during which simultaneously derived measured flow indications of the flow meter and the ultrasonic flow meters are recorded, and during which an alert is issued in case a deviation between simultaneously derived measured flow indications of the flow meter and the ultrasonic flow meter or between measured flow indications of the flow meter and averages of the measured flow indications of the ultras