# Pressure Sensor Accuracy

When using a pressure sensor to measure pressure, one of the first questions that comes up is accuracy: How closely does the value reported by the pressure sensor come to the actual pressure?  We use the term accuracy, but what we really want to know is the error of the pressure measurement.  This article will describe standard specifications and methods for calculating sensor accuracy.

The definition of sensor accuracy actually defines error, and the two terms are used more or less interchangeably:  The accuracy of the sensor is the simply the difference between the pressure reported by the sensor and the actual pressure, expressed as a percent of the sensor full scale.  For example, if a pressure sensor with a full scale range of 100 psi reports a pressure of 76 psi – and the actual pressure is 75 psi, then the error is 1 psi, and when we divide this by the full scale and express it as a percentage, we say that accuracy (or error) of the sensor is 1%.  Most industrial sensors are better than that, with specified accuracies of +/-0.25% or +/-0.1% of full scale (FS).  So the error of a 100 psi FS sensor with an accuracy of +/-0.1% FS will not exceed +0.1 psi or -0.1 psi – at any point in the measurement range of the sensor.

Sensor accuracy is comprised of two error modes: Non-linearity and Hysteresis.  Ideally, pressure sensors are perfectly linear – the output signal or reading is directly proportional to the applied pressure.  Because sensors are mechanical devices, however, they are not perfectly linear, and this error is called non-linearity.  Non-linearity is determined by the five-point calibration method.  A pressure standard (a device know to be at least five times more accurate that the pressure sensor) is used to apply pressures at 0%, 50%, 100%, 50% and 0% of the sensor full scale.  A best-fit straight line is fitted to these points, and the maximum deviation of any of the five points from the value predicted by the best-fit line, is defined as the non-linearity error.

Hysteresis is simply the difference in the value of the readings at the same pressure along these five calibration points, up-scale and down-scale.  Hysteresis can be measured from the readings at the 50% points and at 0% FS pressure.  The greatest difference in any of these is defined as the hysteresis.

The accuracy of the sensor is defined to be the sum of the non-linearity error and the hysteresis error.

Note that the sensor accuracy calculation is pretty much the worst case error that can be determined from the calibration data, and it may not occur at every point along the pressure sensor FS range.  But this is considered to be a conservative method for calculating the error present at any pressure over the range of the sensor.

For differential pressure sensors – those having a plus and minus full scale range, the same techniques are used to calculate accuracy with the addition of -50%, -100%, -50% and 0% calibration points required (9 all together).

Spreadsheets that automatically calculate non-linearity, hysteresis and accuracy are available from Validyne for gage, absolute and differential pressure sensors.  Factory calibration sheets showing these errors are shipped with most sensor models.

# Signs of a Faulty or Failing Differential Pressure Sensor

There are many different types of pressure sensors that are used to measure a number of applications and operations. From use in automobiles, measuring flow rates in pipelines, density measurements, and even for measuring the levels of fluids, a differential pressure sensor can be the best option.

## The Basics of Operation

The differential pressure sensor is a method of measurement based on two different reference pressures. The sensor is designed to allow access to either side of a diaphragm by the liquids or gases. This creates a pressure against the central diaphragm on both sides.

A gauge is used to read or measure changes in the pressure on either side of the central diaphragm. This can include an increase in pressure on one side, or a drop in pressure on the other. The sensor measures the deformation of the diaphragm, and converts this change into an electric signal.. It can also transmit that information directly through USB, wireless, or other digital methods to computer systems that monitor, record, and control the flow or another variable.

## Signs of Failure

The most common issue with a differential pressure sensor is damage to the diaphragm that causes it to be deformed, or to lose the ability to flex and respond to changes in pressure.

This is most often caused by extreme bursts of pressure that are atypical for the system. It can also be caused by installing the wrong size or type of sensor, given the operating conditions.

Another issue that can occur is damage to the port area of the sensor. This may occur if there is some type of debris or contamination within the system that lodges in the port or the tube, restricting the correct flow of the fluid into the sensor.

If your Validyne pressure sensor or pressure transducer is not performing as it should, contact sales@validyne.com so we can help you get it fixed!

# Resolution and Frequency Response in Pressure Transducers

Resolution and frequency response in pressure sensors and pressure transducers are two performance parameters that are important, but often misunderstood.  This article will describe how each of these parameters relates to Validyne pressure transducers and pressure sensors.

## Resolution

Resolution of a pressure transducer is defined as the smallest change in pressure that can be detected by the transducer.  Validyne pressure transducer are analog devices and the resolution, in theory, is infinite.  As a practical matter, however, the resolution of the analog signal from the pressure transducer electronics is a function of the signal to noise ratio.  All analog signals contain noise and the various carrier demodulator circuits used with Validyne variable reluctance sensors have somewhat different specifications for the noise level, depending on the demodulation scheme employed and the output filtering used.  In general, the noise level of the carrier demodulator signal will be 0.05% or less of the pressure transducer full scale.  So the smallest pressure change that can be detected from the Validyne pressure transducer signal will be less than 0.05% of the maximum pressure range of the pressure transducer.

## Frequency Response

The frequency response of a pressure transducer is a measure of how quickly the pressure transducer can respond to changes in pressure.  There are two ways to define this: response time and flat frequency response.  Response time – sometimes called the sensor time constant – is the time, in seconds, required for a sensor signal to change from 0 to 63.2% of the full scale when the pressure sensor is exposed to an instantaneous full scale pressure change.  Response time is often used for slower pressure transducers that respond to pressure changes as a first-order system.  Knowing the time constant of the pressure transducer allows the user to calculate how the sensor signal will change in response to different applied pressure signatures during operation.

For faster pressure transducers – such as Validyne pressure transducers – the flat frequency parameter is a more accurate way to describe the pressure transducer frequency response.  Flat frequency is the maximum frequency, in Hz,  that the pressure sensor can pass into its signal without distortion.  This depends on the geometry and construction of the pressure sensor, the plumbing leading up to the pressure sensor, the fluid media and the output filtering of the carrier demodulator.

Validyne has tested the standard DP15 family of pressure sensors or the P55 family of pressure transducers types for flat response and this has been found to be  80 Hz in air when the varying pressure source is close-coupled to the sensor port.  That means that the pressure sensor is capable of allowing pressure changes of up to 80 times per second to pass, without distortion when the pressure transducer is close-coupled.

Many times, however, the pressure transducer is connected by a length of tubing to the source of the pressure variations, and this degrades the flat frequency response, as shown in the table below:

Tubing Length, FT            Flat Response, Hz

0                                         80

0.5                                      50

1.0                                      36

2.0                                      25

3.0                                      20

4.0                                      12

5.0                                        8

The output filtering of the carrier demodulator will also affect the system response, but in general most will pass the 80 Hz sensor response frequency.  Those carrier demodulators models that feature selectable low-pass filtering, however, may provide for lower settings that will filter out these frequencies, even when the pressure sensor is capable of passing them into the signal.

The flat frequency response of the pressure transducer/plumbing system will change by ratio of the speed of sound in air to the speed of sound in a liquid.  For water this ratio is about 4X, so the maximum frequency response of the pressure transducer in liquids will be greater than 300 Hz.  For a CD15 demodulator and DP15 pressure sensor, the output filtering will allow frequencies of up to 1 KHz to pass, and this is the fastest system we offer.  The P55 electronics in the P55 pressure transducer, however, has a low-pass cut-off frequency of 250 Hz and so may attenuate very fast pressure changes in liquids.

The response time can be roughly related to the flat frequency response for the purposes of comparing the performance of various sensor types.  Since response time is a measure of how long it takes for the pressure transducer signal to rise from 0 to 62.2% of full scale, the rise time can be assumed to be not more than one quarter of one complete cycle of the pressure sensor maximum flat frequency.  This is simply the reciprocal of 4 times the maximum flat frequency.  Thus the 80 Hz flat response would be 1/(4 * 80) or about 3.2 msec.

# Differential Pressure Transmitters for Kiln and Furnace Applications

Many industries rely on large furnaces. For example, the gas and oil industry uses a great deal of heat to refine and process crude oil. The steel industry must heat metals as part of heat treatment processes that occur in special furnaces. With new EPA regulations and efficiency considerations, it’s important to keep pressure low and this has led to special draft range differential pressure transmitters like the DR800. This instrument provides several important benefits in furnace operations.

The Importance of Furnace Draft

The flow of air within a furnace is a vital to energy efficiency and heat control. But what is draft? Draft is the difference between atmospheric or room pressure and pressure within the furnace combustion chamber. This affects the flow of airneeded for the combustion process.

Drafts can be natural, forced, induced or balanced. It is important to monitor this airflow at all times, as it can greatly affect temperature and heat transfer. Draft range differential pressure transmitters are able to detect very low amounts of pressure and send their readings to a furnace control system. In fact, the DR800 can measure pressures as low as 0.1 inches H2O full scale, delivering accuracy to within 0.5 percent. The DR800 is extremely stable, even though large ambient temperature ranges.

Thanks to the DR800, pressure calibration is uncomplicated. It is made possible by including a Hi/Lo gain jumper and continuous the span adjust. You also can choose an LCD display for local indication.

The DR800 is very durable, but should you need repairs they can be done right in the field. You can easily remove its entire electronics housing without disassembling the unit. Plus, your maintenance personnel won’t have to carry specialized tools for the job. The NEMA 4 enclosure and standard process industry form factor make the DR800 easy to use.

To check out the differential pressure transmitters we have to offer, visit our home on the Web today at http://validyne.com/ or call 818-886-8488.

# 5 Things to Consider when Working with a Pressure Transducer

Pressure is crucial in fluid-power circuits. Using a pressure transducer allows you to control your system. Connecting the transducer a power source, while plumbed to a pressure source, generates an electrical output signal that matches the pressure. However, there are many considerations when you use this equipment. Here are some of them:

The Pressure Range

Since pressure transducers are designed to provide electrical output to match any given pressure range, make sure you pick a pressure transducer with a full scale range that is closest expected pressure. Also, check and confirm if the electrical output signal is matched to the needs for your existing system. Compatibility issues can compromise results or damage the pressure transducer.

Quality

Using trustworthy suppliers, such as Validyne, to source a premium-grade pressure transducer should be a priority. In doing so you won’t have to contend with units that exhibit low-quality performance. Opting for the right suppliers will keep those superior-quality transducers coming whenever you need them.

Installation

Be careful not to damage the electrical connector during the installation process. Denting a pin or connector shell could damage your unit. To prevent this from happening precisely follow the installation guidelines. If you have any doubts, ask for an installation professional for help. Be sure to connect the pressure transducer pressure ports with high quality NPT fittings and use Teflon tape on the threads.

System

Accuracy and reliability are important. Check to make sure the cabling, readout devices, signal conditioning, and amplification units are all in good working condition. Don’t forget about the power wiring to the transducer, as that is a common spot for trouble.

Maintenance

You will need to ensure the transducer receives proper maintenance and care. That’s the best way to ensure optimum performance. Regularly check the pressure transducer pressure connections for leaks, and tighten as needed. Also, keep all electrical connections between the system and components free of water and spray.

Keeping your transducer functioning at top form is crucial, so keep these practical tips in mind. If you need to know more about transducers, seek contact us today!