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MONTANA STATE UNIVERSITY DEPARTMENT OF MECHANICAL ENGINEERING ETME 360 Spring 2017 – Measurements and Instrumentation Laboratory Lab 7 - LINEAR VARIABLE DIFFERENTIAL TRANSFORMER Investigating the Characteristics of an LVDT R. Larson Goal: Gain experience with Digital Storage Oscilloscope operation while investigating the input & output characteristics of a linear variable differential transformer (LVDT). References: A. Wheeler & A Ganji, Introduction to Engineering Experimentation ETME360 Lecture & laboratory instruction Equipment: Linear Variable Differential Transformer, with Calibration Stand Digital Storage Oscilloscope Multi-function synthesizer or oscillator (sine wave generator) Decade Resistor Procedure: Assemble the circuit shown below. Figure 1. LVDT Connection Schematic Diagram. Adjust the A/C signal source to a frequency of 5 kHz (5000 Hz.) Set sine wave amplitude to a known value between 1 to 5 volts. (Measure the oscillator frequency and amplitude using appropriate oscilloscope functions, rather than assuming that oscillator settings are accurate!) Two different load resistance cases will be examined: (a) Set load resistor RL=5,000 ohms. (b) Set load resistor RL=100 ohms. Find the "null" position, i.e. the core position that gives the minimum voltage output for the particular LVDT, and rotate the outer rim of the dial indicator to re-define the “Zero” at this position. Vary the position of the core in ~0.10 inch increments over the entire range of core displacements possible, both positive & negative from the null position, without exceeding the range of the dial indicator. Record all voltage inputs & outputs, and dial indicator positions, to compute the required results, below. Perform the signal timing measurements necessary (as demonstrated and discussed in lab!) to derive phase angle between input and output voltages as demonstrated in lab and required in the results, below. Results: 1. Plot data to clearly show the two different methods commonly used to characterize LVDT performance, as follows: (a) voltage ratio (eo/ei) vs. core displacement for each of the two specified load resistances, and (b) voltage eo vs. core displacement for each of the two specified load resistances, at a given (recorded) input voltage. 2. Determine the sensitivity of the LVDT for each of the above cases and clearly present your findings. 3. Determine the phase angle between input and output voltages in two positions: (a) At one known, positive core displacement value and (b) at one known, negative core displacement value, for each of the load resistances. Again, clearly present your findings.