Thursday, March 16, 2023

The Operation of Linear Variable Differential Transformer (LVDT)

 Linear variable differential transformer (LVDT) is an inductive transducer that is commonly used to translate linear motion into electrical signals.

An illustration of LVDT circuit is shown below:

LVDT

Fig 1.0 LVDT connection circuit

The transformer consists of a single primary winding P and two secondary windings S1 and S2 wound on a cylindrical former. A sinusoidal voltage of amplitude 3 to 15 volt and frequency 50 to 20 kHz is employed to excite the primary winding. The two secondary windings have equal number of turns and are identically placed on either side of the primary winding.

The primary winding is connected to an alternating current source. A movable soft-iron core is placed inside the former. The displacement to be measured is applied to the arm attached to the soft iron core. The core is usually made of high permeability, nickel iron. This is slotted longitudinally to reduce eddy current losses. The assembly is placed in a stainless steel housing to provide electrostatic and electromagnetic shielding. The frequency of ac signal applied to primary winding can be between 50 Hz and 20 kHz.

As the primary winding is excited by an alternating current source, it produces an alternating magnetic field which in turn induces alternating voltages in the two secondary windings.

The output voltage of secondary S1 is ES1 and that of secondary S2 is ES2. In order to convert the outputs from S1 and S2 into a single voltage, the two secondary S1 and S2 are connected in series opposition. The differential output voltage is:

E0 = ES1 – ES2                                                                        

Operation of LVDT

When the core is at its normal (NULL) position, the flux linking with both the secondary windings is equal and hence equal voltages are induced in them. Therefore at null position: ES1 = ES2. Thus, the output voltage E0 is zero at null position.

If the core is moved to the left of the null position, more flux links with S1 and less with winding S2. Correspondingly, output voltages ES1 is greater than ES2. The magnitude of output voltage is thus,

 E0 = ES1 – ES2 and we can say, it is in phase with primary voltage.

In the same way, when the core is moved to the right of the null position ES2 will be more than ES1. Therefore the output voltage 

E0 = ES1 – ES2 and 180° out of phase with primary voltage.

The amount of voltage change in either secondary winding is proportional to the amount of movement of the core. Thus, we have an indication of amount of linear motion. By noticing whether output voltage is increased or decreased, we can determine the direction of motion.

 Related: Transducers and Sensors

Merits of LVDT

  • Output is quite high. Hence, immediate amplification is not necessary.
  • Output voltage is step-less and hence the resolution is very good.
  • The sensitivity is high (about 40 V/mm).
  • It does not load the measured mechanically.
  • Linearity is good up to 5 mm of displacement.
  • It consumes low power and low hysteresis loss.

The Limitations of LVDT

  • It is affected by stray electromagnetic fields. Thus, proper shielding of the device is required.
  • LVDT has large threshold.
  • The ac inputs generate noise.

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