Wink of Knowledge: Concentration measurement of SF₆ in insulation gas mixtures for power transformers

Wink of Knowledge: Concentration measurement of SF₆ in insulation gas mixtures for power transformers

Wink of Knowledge: Concentration measurement of SF₆ in insulation gas mixtures for power transformers

What is a Wink of Knowledge? 

Do you need to quickly measure, draw or do/build something? The speed with which the result may be achieved counts more than the perfect (scientific) approach. For this reason, we have introduced the Wink of Knowledge. Science in the wink of an eye, so to speak. We don’t want to prove anything scientifically. We simply want to quickly demonstrate something pragmatically. If you are interested, we would be happy to discuss these results in more detail with you and your project. 

Why this test?

SF₆ (sulphur hexafluoride) has been the preferred insulating and extinguishing gas in gas-insulated switchgear and high-voltage transformers for decades – due to its excellent dielectric properties. However, SF₆ is increasingly the focus of regulatory attention as a powerful greenhouse gas. To reduce the environmental impact, manufacturers are increasingly relying on gas mixtures, e.g. with nitrogen (N₂) or CF₄ (tetrafluoromethane). It is crucial to precisely measure the concentration of SF₆ to ensure insulation safety and functionality.

When using pure SF6, it is common practice to use the theoretical pressure at 20 °C as a reference value. The “P₂₀ pressure” serves as an industry-wide reference value for filling quantity and alarm thresholds: It translates each measured pressure/temperature pair to 20 °C and thus acts as a temperature-neutral measure for the molar gas density – and therefore for insulation strength, liquefaction reserve and leakage monitoring. However, this value is no longer sufficient in the event of air ingress (e.g. due to leaks in the supply line or insufficient purging processes) or the use of SF₆ mixtures (typically N2 or CF4), because different mixtures have a significantly lower dielectric strength despite identical P₂₀. Modern mixed gas and low-GWP[1] systems must therefore supplement P₂₀ with mixture-specific density algorithms or regular gas analyses.


Figure 1: Relative dielectric strength error (E_rel) and required pressure compensation (P-factor).

 

Figure 1 illustrates the influence of the SF6 concentration on the dielectric strength. The factor for E_rel describes the expected relative dielectric strength at unchanged P₂₀ filling pressure (1 = pure SF₆). The “P-factor” indicates the factor by which the operating pressure (or the specified P₂₀ value) would have to be increased in order for the mixture to achieve the same strength as pure SF₆.

For example, a pure P₂₀ relay with a nitrogen/SF6 mixing ratio of 50/50 would still report “green”, although the true strength is already 35% below the target. In order to compensate for this and achieve the required dielectric strength, the pressure would have to be increased by a factor of 1.54 – which in turn puts a strain on the seals, pressure design and condensation reserve.

 

1Global-Warming-Potential. A measure of the global warming potential of a substance.

Which gases were used?

  • SF₆ (Sulphur hexafluoride)
  • N₂ (Nitrogen)
  • CF₄ (Tetrafluoromethane)

Density measurement

The density was measured using the DGF-I1 gas density sensor. For this purpose, the existing calibration process was adapted and extended to include the measurement of pure SF6. The measured values recorded under varying pressure and temperature conditions were then used to optimize the existing physical model for concentration measurement. This model ensures that real gas calibrations with SF6 will no longer be necessary in the future, so that each sensor can be subsequently and easily configured for this application.

Nitrogen (N2)

1.2503 kg/m³
at 0 °C, 1.01325 bar abs

Sulphur hexafluoride (SF₆)

6.616 kg/m³
at 0 °C, 1.01325 bar abs

Tetrafluoromethane(CF₄)

3.947 kg/m³
at 0 °C, 1.01325 bar abs

The TrueDyne sensor

With a diameter of 33.5 mm and a length of 63 mm, the DGF-I1 density sensor has a very compact design and fits into even the smallest of spaces. It is screwed with the integrated connection directly into the gas line or the control cabinet to be insulated; a filter protects against contamination. The measured values are transmitted to the higher-level system via an RS485 interface. The low response time and power consumption of the sensor enable continuous monitoring of the desired SF6 concentration directly in the process – the measurement does not have to be interrupted.

Dichtesensor DGF-I1 - TrueDyne - Ansicht links

DGF-I1 Density meter for gases

Max. measuring error:
Density: <0.1 kg/m³
Temperature: <0.8 °C
Pressure: <0.04 bar
In-field adjustment Density: <0.05 kg/m³

Repeatability:
Density: <0.015 kg/m³
Temperature: <0.06 °C
Pressure: <0.005 bar

Permissible density measuring range:
0,2 … 19 kg/m³​

Permissible pressure range:
Max. Measuring range:
1…10 bar (absolute)
Only use gas mixtures with argon (Ar) up to
max 9 bar (abs).
Burst pressure 30 bar

Results

Due to the high precision of the density measurement (max. measurement error <0.1 kg/m3), both the concentration of the insulating gas and the progress of the purging process can be easily monitored. This ensures that the desired technical requirements are met and that a high level of safety is traceable during all process steps (e.g. during filling or maintenance of the enclosures).

With our compact density sensor, various gas mixtures with SF₆ can be monitored precisely and continuously under operating conditions. Real-time monitoring is essential to ensure insulation safety and process quality, especially when gradually replacing SF₆ with less climate-damaging gases – existing systems are often not designed for gas mixtures.

Our technology simultaneously enables:

  • Continuous inline monitoring during filling, operation and maintenance
  • Traceability in quality management
  • Cost reduction through reduction of laboratory analyses
  • Correction of the operating pressure to ensure dielectric strength

Precise density measurement is therefore a powerful tool for determining the concentration of SF₆ in insulating gas mixtures. This in turn serves to ensure the desired dielectric strength, depending on the selected gas mixture and the measured concentration.

In a regulatory and ecologically sensitive environment, it creates transparency and safety – all in the interests of intelligent, sustainable transformer operation.

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Wink of Knowledge: Viscosity measurement via differential pressure and flow rate

Wink of Knowledge: Viscosity measurement via differential pressure and flow rate

Wink of Knowledge: Viscosity measurement by differential pressure and flow rate

This knowledge wink deals with the viscosity determination of media above the measuring range of the dedicated viscosity sensor VLO-M2. Various media were measured in a wide temperature range, whereby viscosities > 400 mPa∙s were achieved. An FLT-M1_i1 Coriolis sensor was used for the flow measurement. The Coriolis measuring principle is ideally suited for this method thanks to the precisely shaped measuring tube over which the pressure drop is measured.

Why this test?

The viscosity of media has long been an important parameter for lubricants. In the meantime, further direct applications of viscosity have been added in areas such as paints/paints or care products. However, indirect applications such as the quality measurement of oils are also becoming increasingly important. We are presenting a viscosity measurement based on the “old” principle of differential pressure, but rethought using precise Coriolis measurement technology.

What is a Wink of Knowledge? 

Do you need to quickly measure, draw or do/build something? The speed with which the result may be achieved counts more than the perfect (scientific) approach. For this reason, we have introduced the Wink of Knowledge. Science in the wink of an eye, so to speak. We don’t want to prove anything scientifically. We simply want to quickly demonstrate something pragmatically. If you are interested, we would be happy to discuss these results in more detail with you and your project. 

Results

An FLT-M1_i1 was equipped with a pressure sensor at the inlet and a pressure sensor at the outlet of the device (see Figure 1). The measured variables flow rate, inlet pressure, outlet pressure and temperature were recorded for different media and temperatures.

Figure 1:Test setup consisting of two pressure sensors, the FLT-M1_i1 Coriolis mass flow sensor and a temperature-controlled circulation system

 
Various liquids, from water to high-viscosity ISO 100 hydraulic oil, were pumped through the sensor setup in a temperature-controlled circulation system. Viscosities of approx. 0.5 mPa∙s to approx. 450 mPa∙s were achieved at temperatures between 10 °C and 70 °C.
 
 
Figure 2: Measured temperature dependence of the viscosity of all media used
 

The dynamic viscosity 𝜂 of the medium can be calculated from the measured variables flow rate Q, pressure difference Δp and the geometric variables of the Coriolis measuring tube, length L and radius R, using Hagen-Poiseuille’s law:

An additional correction factor had to be used to correct for the effects of fluid block and pipe curvature. The viscosity calculated with this simple formula was then plotted against the reference values:

Figure 3: Viscosity according to measurements compared to the reference values

The measurements fit the ideal Hagen-Poiseuille law very well over a wide range. Deviations occur primarily at very high or very low medium temperatures. These are probably due to a temperature gradient along the pipe and a temperature difference between the medium and the environment, which makes it impossible to determine an “actual” temperature. This also results in an uncertainty in the reference temperature and thus the reference viscosity. These errors are ±10% in this simple test. However, this can be greatly improved by calibrating and/or restricting the temperature range. A successful and highly developed implementation of the measuring principle for measuring the quality of crude oil has already been carried out by a partner of TrueDyne Sensors AG:

 

Flow rate and density are included “free of charge” as valuable additional measured variables.

Conclusion

The viscosities of media in the range 0.5 mPa∙s to approx. 450 mPa∙s were successfully determined using a combination of pressure sensors and a Coriolis mass flow sensor. In addition to viscosity measurement, mass flow and density are also measured, which makes this multi-parameter solution interesting for a wide range of applications.

Which sensors were used? 

viscosity sensor VLO-M2

  • Click here to learn more about our sensor

Flow sensor FLT-M1

  • Click here to learn more about our sensor

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Winkle of Knowledge: Concentration measurement protein

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Winkle of Knowledge: Concentration measurement protein

This knowledge wink is dedicated to measuring the concentration of protein in water using the physical parameters of density and viscosity. Commercially available whey protein was used as an example, the concentration of which we were able to determine in the range of ±0.07 %w using a VLO-M2. Our shake is now perfect, and we are also happy to help you optimize your protein solutions!

Why this test?

Have you ever wondered why the gains don’t materialise despite hard training in the gym? Have you ever suspected the protein shake? Who knows how much protein is really in there, especially if you don’t meticulously weigh everything… With a VLO-M2 density and viscosity sensor, we set out in search of answers. In the spirit of ‘Dry January’, this wink of knowledge is not dedicated to alcoholic drinks for once, but to whey protein.

But quite apart from the fun factor involved in mixing, measuring and drinking protein shakes: Aqueous protein solutions are not only used in the production of whey products, e.g. for the fitness industry, but are also important pillars of the modern biotech and pharmaceutical industries. Whey protein is a cost-effective way to enter the diverse world of proteins.

What is a Wink of Knowledge? 

Do you need to quickly measure, draw or do/build something? The speed with which the result may be achieved counts more than the perfect (scientific) approach. For this reason, we have introduced the Wink of Knowledge. Science in the wink of an eye, so to speak. We don’t want to prove anything scientifically. We simply want to quickly demonstrate something pragmatically. If you are interested, we would be happy to discuss these results in more detail with you and your project. 

Results 

Mixtures with different concentrations of commercially available whey protein isolate in water were prepared using a balance. The concentrations were chosen to cover the range close to the manufacturer’s recommendation. The recommendation is to dissolve 25g of powder (which corresponds to approx. 3 level tablespoons) in 300 ml of water. Assuming a density of approx. 1kg/l for water, this corresponds to a concentration of approx. 8.3 %w. Our mixtures ranged accordingly from 4.5 %w to 12.5 %w. The density and viscosity of these mixtures were measured with a VLO-M2 at ambient conditions (approx. 24°C, atmospheric pressure) and yielded the following concentration dependencies (blue dots):

 
 
 
Both graphs show a very good dependence of the measured values on the protein concentration. For density, the relationship is almost linear, and for viscosity it can be approximated very well as a square (dashed lines). Taking into account the measuring accuracies of the VLO-M2 for the two physical quantities, which are ±0.2 kg/m³ for density and ±0.2 mPas for viscosity, density is clearly the best choice for calculating the concentration under the conditions investigated. However, viscosity as an additional parameter can be very interesting if an additional component such as sugar or alcohol/solvent is added. Even at higher concentrations, the viscosity should then react very strongly to changes in concentration due to the quadratic dependence.
 
The linear fit for the density dependence shows a gradient of 2.74 kg/m³ per weight per cent. With the high measurement accuracy of ±0.2 kg/m³ of the VLO-M2, it would therefore be possible to determine the concentration of whey protein in water with an accuracy of approx. ±0.07 %w (after field adjustment/repeatability even half of this).
 
Of course, with this knowledge we had to directly check the preparation recommendation of 3 level tablespoons in 300 ml of water and ended up at the orange dot in the graphs above. The expected concentration would be 8.3 %w, but the measured density would correspond to a much lower concentration of approx. 5.5 %w. An increase in the amount of protein by approx. 50% would therefore be necessary in our case in order to fulfil the consumption recommendation. As a side note, the water used for the ‘real’ protein shake was slightly cooler (approx. 22°C), which is why the viscosity in this example was also higher. The effect on the water density is relatively small at approx. 0.4 kg/m³ for the 2°C difference and would correspond to approx. 0.15 %w whey protein in this calculation.

Conclusion

Mixtures of whey protein and water in the range of 4.5 %w to 12.5 %w were measured for density and viscosity, and a clear concentration dependence was found. Assuming a linear fit for the density data, we would expect a concentration measurement with approx. ±0.07 %w accuracy for the VLO-M2. It would be interesting to measure other proteins that are found in relevant concentrations in the medical or pharmaceutical sector, for example.

In addition, we were able to optimize our protein shake recipe by using, measuring and comparing the preparation recommendation: TrueDyne Sensors AG now recommends increasing the dose by 50% to 4.5 tablespoons of protein powder per 300 ml of water when using the non-calibrated measuring device “tablespoon from the TrueDyne drawer”.

Which sensors were used? 

viscosity sensor VLO-M2

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Wink of Knowledge: High Density Media – DLO Density Meter for Liquids

Wink of Knowledge: High Density Media – DLO Density Meter for Liquids

Wink of Knowledge: High Density Media – DLO Density Meter for Liquids

Volume 2 | Number 3

Why this test?

The measurements carried out show that our DLO measures very precisely even in media with a density far above the previously specified maximum value.

What is a wink of knowledge?

Do you know the need to have to sometimes measure, draw or do something quickly? The speed to the result counts more than the perfect (scientific) approach. For this reason, we have introduced a wink of knowledge. Science with a wink, so to speak. We don’t want to prove anything scientifically, but quickly demonstrate something pragmatically. If you are interested, we would be happy to discuss these results in more detail with you and your project.

What liquids were used?

• Tetrachloroethylene (Carl Roth, item no.: 4737.1)

Tetrachloroethylene, C2Cl4

  • Carl Roth, item no.: 4737.1
  • Molar mass: 165.83 g/mol
  • Density: 1.61 g/cm³

Density measurement

The density measurement was carried out with the DLO-M1 density sensors for liquids. For this purpose, the sensors were each flushed with tetrachloroethylene. Using the logging function, one measured value per second was recorded for density and temperature. As a reference, the density was measured with the laboratory measuring instrument DSA 5000 M (Anton Paar). The reference values measured at 20 °C and 30 °C were linearly interpolated to obtain the temperature-dependent density of tetrachloroethylene.

The TrueDyne sensor

The DLO-M2 sensor measures the density of liquids in a microelectromechanical system (MEMS system). Within the MEMS system, the liquid is directed to an omega-shaped microchannel, the so-called omega chip. This tiny silicon tube – it is hardly thicker than a hair – is set into oscillation for the measurement. The density of the medium can be derived from the natural frequency of this oscillation: the denser the medium, the lower the oscillation.

TrueDyne_DLO-M1_VLO-M1_right
DLO density sensor for liquids

The measuring system in submillimetre size enables the compact construction of the sensor. It measures just 80 x 30 x 15 mm and thus fits into even the tightest of spaces. The measured values reach the higher-level system via an RS232 interface and in the ASCII command protocol in the TrueDyne Sensors standard.

Procedure

  1. Reference density measurement with laboratory density meter DSA 5000 M (Anton Paar)
  2. Inserting the sensor into the measurement setup according to figure 1
  3. Pumping the tetrachloroethylene through the density sensor by means of syringes

Measurement setup

  1. Syringe with tetrachloroethylene
  2. Density sensor DLO-M1
  3. Data evaluation
  4. Return of the medium
  5. Syringe takes up the test fluid again
DLO Sensor - Tetrachloroethylene measurement setup
Figure 1 – Measurement setup

Results

The measurement results are shown in Figure 2. The black dashed line marks the temperature-dependent reference density, which was determined with the laboratory measuring instrument DSA 5000 M (Anton Paar). The solid black lines mark the reference density with a tolerance of ±0.5 kg/m³ (±0.0005 g/cm³). This corresponds to the maximum measurement deviation of the TrueDyne density sensor DLO-M1.

DLO Sensor - Tetrachloroethylene - Measurement results
Figure 2: Measurement results of TrueDyne DLO-M1 density sensors with tetrachloroethylene

The coloured dots mark the readings of three different TrueDyne DLO-M1 sensors. It should be noted that dynamic measurement deviations occur during the flow through the sensors: Due to the self-heating of the sensor, the sensor temperature deviates from the temperature of the incoming, colder fluid. At lower flow rates, these two temperatures converge so that in the static case the measurement deviations from the reference density values are less than ±0.1 kg/m³ (±0.0001 g/cm³).

Summary

The measurement results shown demonstrate that the TrueDyne DLO-M1 sensors achieve the specified accuracy of ±0.5 kg/m³ in density measurement even far beyond the specified density range (>1600 kg/m³ instead of ≤1000 kg/m³). By compensating for the self-heating of the sensor, even accuracies of ±0.1 kg/m³ are possible.

Do you have applications in this extended measuring range? Get in touch with us!

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