LVDT

What is LVDT?

        LVDT is a passive transducer. LVDT stands for Linear Variable Differential Transformer. It is also an electromechanical-based inductive transducer that converts rectilinear movement into an electrical signal.

         In simple, we can say an LVDT is a passive inductive transducer that converts Linear displacement into an AC Electrical signal.

Block diagram of LVDT

         LVDT is a type of secondary transducer which means the primary transducer is used to convert the physical parameters like force, weight, pressure, tension into displacement and then using LVDT the respective electrical output is obtained. LVDT has high accuracy level so it is also used as an Inductive sensor

What is the working principle of LVDT?

The linear variable differential transformer is a specially designed transformer. The LVDT works under the principle of mutual inductance effect.

         Under transformer theory, the two coils are coupled by an alternating magnetic field. When AC voltage is applied to the primary winding, the magnetic field is produced. This magnetic field induces a current in secondary winding, therefore, there is an induced voltage in the secondary coil.

         Similar to this LVDT consists of one primary winding P, two secondary windings(S1& S2) and a soft iron core. The construction of LVDT is shown in below figure. The secondary windings are arranged on a cylindrical former with a movable soft iron core. The primary winding is surrounded by two identical secondary windings (S1 and S2), each of which has an equal number of turns. The secondary windings are connected in a series opposition.

         The soft iron core arm is connected to the part to which the displacement is to be measured. This iron cores are subjected to hydrogen annealing in order to reduce harmonics, the residual voltage of the core, and to increase sensitivity. To cut down on eddy current losses, the movable core is additionally laminated. LVDT is also installed inside a stainless steel as it provides electrostatic and electromagnetic fields.

Construction of LVDT
Basic and equivalent circuit of LVDT
Output characteristics of LVDT

Working of LVDT

A source of constant amplitude AC power, energize the primary winding, P, of the LVDT. The core then connects the nearby secondary windings S1 and S2, the magnetic flux is created. According to the position of the core, the working of LVDT can be divided into 3 cases.

Case 1:- LVDT Core is in null Position:

V0= V1-V2=0

Case 2:-LVDT Core is moved left of null position.

         When the core of LVDT core is moved to left, then more flux links with coil S1 than S2. Hence voltage induced in S1 is greater than S2. The net output voltage is V0=V1-V2 is positive.

Case 3:- LVDT Core is moved Right of null position.

         When the core of LVDT core is moved to right, then more flux links with coil S2 than S1. Hence voltage induced in S2 is greater than S1. The net output voltage is V0=V1-Vis negative.

Output characteristics of LVDT

         Output characteristics of LVDT is observed from the response of output voltage with respect to displacement. In fig. (c) we can observe initially response is linear over a small range of displacements later it becomes non-linear. For zero displacement, we can also observe a small voltage. This voltage under zero displacement is called residual voltage. Magnitude of residual voltage is less than 1% of maximum voltage.

Cause of Residual Voltage in LVDT
  • Due to harmonics present in ac power supply
  • Harmonics produced in iron core.
  • Stray Magnetic Fields & temperature effects.

Real case Applications of LVDT

  1. Fuel Control: A LVDT aids in ensuring that fuel is always used as efficiently as possible as it relates to fuel regulations. Later it ensures that the gasoline is released at the precise moment when it is needed, providing you the ideal performance to fuel ratio.
  2. Engine Bleed Air Systems: LVDT is used to assist in controlling the volume of air bleed into engine bleed air systems.
  3. Thrust Vector control: The LVDT essentially places the vector on the bottom of the missile or rocket when it comes to thrust vector control. In this manner, it is possible to change the engine’s thrust direction in order to regulate the rocket’s angular velocity or the aircraft’s altitude.
  4. Defense Satellites & lunch systems: Defense satellites and launch systems are some of the most typical applications for LVDTs in space. One advantage of utilizing LVDTs for defense satellites is that they aid in angling the satellite panels toward the sun. This makes it easier for us to transfer solar energy to the satellites so that they can remain in orbit. LVDTs enable for excellent performance in launch systems while requiring little maintenance. When working with launch systems, which may be frequently inaccessible and challenging to maintain, this is excellent.
  5. Valve Pitch: Actuators can be used to check that the valve actuator moved into the correct position and that it worked as intended.
  6. Valve position feedback: In order to help regulate the actuator and monitor and maintain the valve position,     linear displacement transducers provide feedback regarding the valve position.
  7. Displacement measurement
  8. Measure Force, weight, Pressure

Classification of LVDT Transducer

The LVDT classification is shown in below table. It is classified based on the  

  • Armature
  • Excitation
  • Range
  • Application
Classification of LVDT
LVDT types based on armature
  1. Unguided Armature: Armature fits loosely in coil bore cavity. Proper installation ensures axis accuracy. This eliminates friction and wear. This type has infinite resolution, repeatability and fatigue-free durability. Free armature is best for high-speed, short-range applications.
  2. Guided (Captive) Armature: This type uses a low-friction bearing assembly to guide and restrain the armature. These are suitable for long working ranges. Guided armature prevents misalignment.
  3. Spring Extended Armature: This armature is similar to guided armature LVDT, but it has an internal spring to extend it continuously. This maintains contact with the object.
LVDT types based on Applications
  1. General Purpose LVDT: LVDT is used in many industrial and research applications.
  2. Precision LVDT: This type of LVDT is preferred for sensitive gauging and quality control applications
  3. Submersible LVDT: This type of LVDT is used in industrial and research situations with corrosive gases and fluids, high temperatures, and vibrations, etc., with fully sealed equipment.

LVDT types based on range of operation

  1. Short stroked LVDT: 1.   Short stroked LVDT works under the full-scale linear ranges from ±0.01 inch (±0.25 mm) to ±0.5 inch (±12.7 mm) This precision LVDT with a short stroke works well in situations that need for dynamic measurement but have limited space.
  2. Long stroked LVDT: Long stroked LVDT works under the Full-scale linear ranges from ±0.5 inch (±12.7 mm) to ±18.5 inch (±470 mm) The transducer has a spring return armature and the transducer can be easily adapted to work with the majority of industrial measuring applications. This type of transducer has high resolution, built-in extended life, good repeatability.

LVDT types based on Excitation

  1. AC LVDT:  The AC LVDT is excited by an AC voltage with a nominal frequency of 2.5 kHz and a frequency range of 50 hertz to 25 kHz. Compared to their DC equivalents, AC-operated LVDTs are more accurate and more compact. They can sustain much larger fluctuations in operational temperature than the DC LVDT can.
  2. DC LVDT: The DC LVDT consist of an AC operated LVDT, oscillator, carrier generator/ signal conditioning circuit.  Characteristics of LVDT remains the similar to AC LVDT. Based on application, user can select AC or DC LVDT.
  3. Digital I/O LVDT: A digital I/O interfacing board can be connected to analog device. An interface board is feeding the input and output digital signals in parallel to a computer. Using a digital I/O device makes it possible to monitor (read) the status of measuring devices.

Advantages & Disadvantages of LVDT

Advantages of LVDT
  • LVDT output is very high
  • Power consumption of LVDT is very low.
  • Measurement range is very high.
  • LVDT is small in size and has excellent repeatability. 
  • LVDT has high resolution.
  • Easy to align & not affected by external Environment.
  • Direct Conversion to electrical signal.
  • Fast Dynamic response
Disadvantages of LVDT
  • LVDT gets damaged by temperature
  • Vibration due to displacement can affect the performance of output.
  • For small output, large displacement is applied.
  • Since LVDT reacts to magnetic fields by moving away from them, a device to prevent magnetic field drift is continually required.
  • LVDT is also sensitive to stray magnetic field.

Some Useful Questions related to LVDT

1. What is full form of LVDT?

         Linear Variable Differential Transformer

2. What is LVDT?

         A Device that converts convert rectilinear motion or linear displacement into electrical signal

3. What is difference between rectilinear motion & Linear motion
Linear motionRectilinear motion
Linear motion is defined as when object is moving in a straight line or along a curved line in a plane.Rectilinear motion is defined when an object moving only in straight line. 
 4. What is a transformer?

A passive component which transfers electrical energy /signal from one circuit to other.

5. Why LVDT is called a differential transformer?

         The difference between voltages of two windings (secondary coils) is obtained and thus the name – Linear Variable Differential Transformer.

6. Which is other words of secondary coil?

         Secondary coil is called as pick up coils.

7. What is the principle behind LVDT?

         LVDT works in the principle of mutual inductance.

8. Write short notes on LVDT.

         LVDT converts mechanical to electrical energy. On a hollow cylindrical former are one primary and two secondary windings. A soft iron core that slides within the hollow former affects the primary and secondary coils’ magnetic coupling.

9. Which material is used in LVDT?

         An LVDT core is a permeable magnetic cylinder that couples the primary and secondary coils inductively. The core is usually made of ferromagnetic iron.

10. List some of the characteristics of LVDT
  • Electromechanical device.
  • Can operate at temperature up to 6500C.
  • Long life cycle.
  • High reliability.
11. What is meant by RVDT?

                  RVDT stands for Rotary Variable Differential Transformer. RVDT is an electromechanical transducer used to measure angular displacement. The obtained output is an electrical signal proportional to angular displacement.

12. How is LVDT different from RVDT?
  • LVDT converts linear displacement into electrical signal whereas RVDT converts angular displacement into electrical signal.
  • In LVDT the core is rectangular shaped whereas RVDT is cam Shaped.
  • LVDT is used in measuring force, pressure weight, displacement whereas RVDT is used in controlling application such as turbine operation, process control industry.
13. A LVDT produces an RMS output voltage of 2.6V for displacement of 0.4ìm. Calculate the sensitivity of LVDT.

         Sensitivity is defined as the ratio between the output signal & the measured property.

         Output of LVDT is a voltage signal = 2.6 V [RMS output Voltage]

         Measured Quantity = 0.4ìm [Displacement]

         Sensitivity (S) = Output voltage (V) / Displacement Measured  (m)

                                 = 2.6/0.4

                           = 6.5V/μm

14. List the advantages of LVDT.
  • High range of displacement measurement.
  • Friction and electrical isolation.
  • Immunity from external effects.
  • High input and high sensitivity.
  • Ruggedness.
  • Low hysteresis and low power consumption.
15. List the limitations of LVDT.
  • LVDT are magneto sensitive.
  • Dynamic response is limited.
  • Temperature also affects the transducer

النيوماتيك

Design Considerations of Orifice Plate

Design Factors of Orifice Plate Sizing

The following are the factors considered for orifice sizing.

  1. Size of Pipe
  2. Flange Rating
  3. Material of Construction of Orifice based on Fluid properties
  4. Pressure and flow rate of the fluid
  5. Density and temperature of the Fluid
  6. Beta Ratio
  7. Reynolds Number of the Fluid for selection of Orifice Plate type
  8. Location of Pressure Taps

Let us discuss each of the Orifice Plate Design Parameters in detail

1. Size of Pipe

The very first point we look at before selecting a flow meter is the pipe size. Orifice plate can be used from pipe size of 2 inches to 24 inches. Below a 2-inch line size, installing an orifice will create a problem of permanent pressure drop. Orifice generates a permanent pressure drop but for line size below 2 inches, the process will have an adverse effect. Orifice plates for line size greater than 24 inches, designing orifice plate is very difficult due to large size. Installing orifice plates in pipe sizes less than 2 inches and greater than 24 inches are special cases. Consulting vendors for such cases is very much important.

2. Flange Rating

Generally, orifice plates are available with different ratings from Class 150 rating to Class 2500 rating (ASME B16.36 standard for orifice flange dimensions). We should generally avoid Class 150 rating orifice. The reason is that the strength of the class 150 rating orifice is not good and it will not sustain the pressure and flow.

3. Type of Fluid (density and viscosity factor)

The type of fluid plays a very important role in designing an orifice plate. It can be liquid or gas or it can be a slurry as well. Type of fluid is required because this parameter is used for deciding the type of orifice plate. Also, the type of fluid decides whether to give a vent hole or drain hole for better performance of the orifice plate.

4. Material of Construction of Orifice based on Fluid properties

We measure the flow of different fluids. Each fluid has its own chemical properties. Hence it is clear that a single orifice plate cannot work for all fluids. That is the reason for considering the material of construction of orifice plate based on fluid properties. SS-316 is a widely used material for normal air and water flow measurement. Alloy 400 is most widely used in marine applications and desalination plants. This is because alloy 400 has very low rates of corrosion.

Alloy C276 has excellent corrosion resistance in both oxidizing and reducing environments. Therefore, alloy C276 is used in Chlorine applications.

5. Pressure and flow rate of the fluid

The flow and pressure have a square root relationship.

Flow Q ∝ √ΔP
Where,  Q = Flow rate & ΔP = Differential pressure across orifice plate

Using an orifice plate means a permanent pressure drop in the process. Also, we know that pressure and flow are not directly proportional. The flow is proportional to the square root of the differential pressure generated by the orifice. Hence for lower flow, the differential pressure generated will be much less. This is the reason why we should use a differential pressure transmitter with an appropriate turndown ratio (generally 200:1). Thus, it is possible to achieve flow rangeability up to 10:1. Generally, the orifice plate produces differential pressure up to 5000 mmH20.

The flow rangeability above 10:1 is possible to achieve by;

  • Use of two different capacities of orifice plates
  • Use of two differential-pressure flow transmitters having different ranges

6. Beta Ratio

The beta ratio is a very important design factor for designing orifice plates. Generally, the beta ratio is kept from 0.3 to 0.75. This is because keeping very high means the orifice bore and pipe bore are nearly the same. Keeping the orifice bore and pipe bore nearly the same will not generate sufficient differential pressure. Also keeping the orifice bore too small will create too much pressure drop which is totally not acceptable. Hence beta ratio is a very crucial design factor.

7. Reynolds Number of the Fluid for selection of Orifice Plate type

Reynolds number indicates the viscosity of the fluids and is expressed as;

Below are the types of orifice used for fluids with different Reynolds numbers.

Type of orifice plateReynolds Number
Concentric80 to 1500
Eccentric3000 to 12000
Quadrant Edge1500 to 9000
Segmental5000 to 2000
8. Location of Pressure Taps

Flange taps are generally used for orifice plates installed in small pipe sizes with sizes less than 2 inches. Corner taps are used for small pipe sizes but differential pressure is good enough.  Pipe tapings are used when differential pressure is small. That is the reason for taking upstream tap at 2.5 pipe diameter upstream and 8 pipe diameters downstream. For pipe sizes greater than 6 inches, radius tapings are used.

Flange Taps

  • Preferred for line size 2” and above
  • The manufacturer of the orifice flange set drills the taps to have the centerlines 1 in. (25 mm) from the orifice plate surface.
  • The flange taps are not suitable below 2 in. (50 mm) pipe size and cannot be used below 1.5 in. (37.5 mm) pipe size, because the vena contracta may be closer than 1 in. (25 mm) from the orifice plate.

Vena Contracta taps

  • Taps at 1D upstream and a downstream tap location are at the point of minimum pressure.
  • Vena contracta taps offer the greatest differential pressure for any given flow rate, but it requires a precise calculation for the proper location of the downstream tap position.

Radious Taps

  • Radius taps are suitable for large pipe sizes (one-half pipe diameter downstream for the low-pressure tap location). It is the approximate equivalent of Vena Contracta taps.
  • An unfortunate characteristic of both the taps requires drilling through the pipe wall.
  • The drilling through the pipe wall weakens the pipe, but it is the requirement for ensuring measurement accuracy.

Corner Caps

The corner taps are suitable for small pipe diameters because vena contracta is very close to the downstream face of the orifice plate, and the downstream flange tap would sense pressure in the highly turbulent.       



? Its Types & Working Pr



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