RTUEE / EC / EEEYr 2020 · Sem 62020

Q6Power System Instrumentation

Question

16 marks

Q.3. (a) Explain the working of frequency to voltage converter. [8]

(b) Explain the working of temperature to current converter. [8]

Answer

A frequency-to-voltage converter produces a DC output voltage proportional to the frequency of an applied AC/pulse input signal, typically implemented using a charge-pump (pulse-triggered constant-charge-injection) circuit followed by a low-pass smoothing filter; a temperature-to-current converter produces a standard current-loop output (commonly 4-20mA) proportional to sensed temperature, typically combining a temperature sensor (RTD or thermocouple) with a signal-conditioning amplifier and a voltage-to-current converter output stage.

(a) Working of Frequency to Voltage Converter

A frequency-to-voltage converter (FVC) accepts an AC or pulse-train input signal and produces a DC output voltage that is directly proportional to the input signal's frequency, widely used for converting the pulse-rate output of speed sensors, tachometer generators, and similar frequency-encoded transducer signals into an analog voltage suitable for conventional analog indication, recording, or control system input.

Charge-pump (pulse-triggered) method: the most common FVC implementation first conditions the input signal (which may be a sine wave, square wave, or irregular pulse train) into a clean, uniform train of narrow trigger pulses using a zero-crossing detector or Schmitt-trigger comparator stage, ensuring exactly one trigger pulse is generated per input cycle regardless of the input waveform's exact shape or amplitude. Each trigger pulse then activates a precision one-shot (monostable multivibrator) circuit, which injects a fixed, precisely-controlled small charge packet (a constant current for a precisely fixed, short duration) into an output smoothing capacitor for every single input cycle detected — since each input cycle injects an identical, fixed quantity of charge, the average charging rate (and hence the average current continuously flowing into the following smoothing/averaging stage) is directly proportional to the rate at which input cycles occur, i.e., directly proportional to the input frequency.

Output smoothing: the resulting train of discrete charge pulses is passed through a low-pass RC smoothing filter (or an active integrator/averaging circuit) to remove the pulse-rate ripple and produce a smooth, continuous DC output voltage whose average level is directly proportional to input frequency, with the filter's time constant chosen as a compromise between adequate ripple suppression (favoring a longer time constant) and acceptably fast dynamic response to changing input frequency (favoring a shorter time constant).

Applications: frequency-to-voltage converters are widely used in tachometer and speed-indication systems (converting a rotational-speed-proportional pulse train from a magnetic or optical speed sensor into an analog speed indication or control signal), and in power system frequency measurement and protection applications where a frequency-proportional analog signal is required as input to further analog processing, protection relay, or recording equipment.

Relationship to the Voltage-to-Frequency Converter

The frequency-to-voltage converter is the functional inverse (complementary device) of the voltage-to-frequency converter (VFC), which accepts a DC input voltage and produces an output pulse train (or square wave) whose frequency is proportional to that input voltage, typically implemented using a similar charge-balance principle in the reverse sense: an integrator continuously accumulates charge at a rate proportional to the input voltage, and each time the integrator output reaches a fixed threshold, a comparator triggers a precision one-shot that removes (or adds) a fixed quantum of charge from the integrator, resetting it to begin the next cycle — since a larger input voltage causes the integrator to reach the threshold more quickly, the resulting pulse (reset) rate, and hence the output frequency, is directly proportional to the input voltage. VFCs and FVCs are frequently used together, and in fact a single charge-balance converter circuit topology can often be configured to operate as either an FVC or a VFC depending on which signal is treated as the input and which as the output. VFCs are additionally valued in instrumentation for providing an inherently noise-immune method of transmitting an analog signal in digital (frequency) form over a long or electrically noisy cable run (since frequency information is far less susceptible to corruption by additive noise or cable resistance/voltage-drop than an analog voltage level would be), with the receiving end then employing an FVC (or a digital frequency counter) to recover the original analog value, and this VFC/FVC pairing is also the operating basis of certain integrating-type analog-to-digital converters used in precision digital voltmeters.

(b) Working of Temperature to Current Converter

A temperature-to-current converter produces a standardized analog current output (most commonly following the widely-adopted industrial 4-20mA current loop standard) that is linearly proportional to a sensed temperature, providing a robust, noise-immune signal well suited for transmission over long cable runs to a remote indicator, recorder, or control system in an industrial or power plant environment.

Temperature sensing stage: a temperature sensor — most commonly a Resistance Temperature Detector (RTD, such as a platinum resistance element whose resistance increases predictably with temperature) or a thermocouple (generating a small temperature-proportional EMF directly via the Seebeck effect) — is used to sense the actual process or equipment temperature and produce a corresponding small electrical signal (a resistance change for an RTD, requiring an excitation current and bridge or constant-current measurement circuit to convert this resistance change into a proportional voltage, or a millivolt-level EMF directly for a thermocouple, typically requiring cold-junction compensation to correct for the reference-junction temperature).

Signal conditioning and linearization: since both RTD resistance-versus-temperature and thermocouple EMF-versus-temperature relationships are not perfectly linear over their full operating range, a signal-conditioning amplifier stage typically incorporates a linearization function (implemented via analog shaping circuitry in older designs, or via digital lookup-table/polynomial correction in modern microcontroller-based transmitters) to convert the sensor's inherently non-linear response into an output that varies linearly with actual temperature.

Voltage-to-current output conversion: the final, linearized temperature-proportional voltage signal is converted into the standard 4-20mA current-loop output using a voltage-to-current converter stage, commonly implemented using an op-amp-based Howland current source or a similar precision transconductance amplifier circuit, which forces an output current through the external loop wiring/load that is precisely proportional to the input voltage, regardless of moderate variations in the load resistance or cable length in the current loop — the standard 4-20mA range (rather than 0-20mA) is deliberately chosen so that a live-zero (4mA, corresponding to the minimum/zero-temperature end of the measurement range) can be distinguished from a broken-wire or powered-down fault condition (which would read exactly 0mA), providing an inherent, simple fault-detection capability that has made the 4-20mA current loop the long-standing industry-standard signal format for temperature and other process-variable transmission throughout industrial and power system instrumentation applications.

Practical Considerations for Loop-Powered 4-20mA Transmitters

Many industrial temperature transmitters are designed as two-wire, loop-powered devices, meaning the same pair of wires that carries the 4-20mA output signal back to the control room also supplies the DC power needed to operate the transmitter's internal sensing and signal-conditioning electronics, drawn from the loop's own supply voltage (typically 24V DC provided by the control-room power supply/receiver instrument). This arrangement requires the transmitter's entire internal circuitry to be designed to operate on whatever minimum current the loop can supply, which, at the low end of the signal range, is only 4mA — placing a stringent low-power design constraint on the sensing amplifier, linearization, and output driver stages, and generally favoring modern micropower analog and digital circuit design techniques. The two-wire loop-powered approach offers substantial practical advantages in industrial and power-plant installations: only a single twisted-pair cable run is needed between the transmitter and the control room (rather than separate power and signal cables), the current-loop signal itself is inherently far more immune to voltage-drop and electromagnetic-interference-induced error over long cable runs than a voltage signal would be (since the same current flows through the entire series loop regardless of cable resistance, within the loop's voltage-compliance limit), and the live-zero 4mA feature (rather than a 0mA zero level) allows simple, reliable detection of an open-circuit or disconnected-transmitter fault condition, as already noted above. These characteristics collectively explain why the two-wire, loop-powered 4-20mA current-loop transmitter remains the dominant signal-transmission standard for temperature and other process-variable measurement throughout industrial plants and power stations.

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