Smoke detection in air

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Introduction

Smoke detector is a device that senses smoke, typically as an indicator of fire. Commercial smoke detectors issue a signal to a fire alarm control panel as part of a fire alarm system. Household smoke detectors, also known as smoke alarms, generally issue an audible or visual alarm from the detector itself or several detectors if there are multiple devices interlinked [1].


Lock-In Amplifier

Measure small signals in a large background (huge noise).



Mathematical Description


Signal Process


Logic Flow


Experiment

We can divide this experimental setup into two parts: the first part will detect the scattering light in the air, and the second part will amplify such signal.


Laboratory Equipment

1) DC Voltage source (MATRIX MODEL: MPS-3005L-3)
2) MODEL SR830 DSP Lock-In Amplifier
3) BWP34 Silicon PIN Photodiode
4) WAVESURFER 104MXS Oscillator
5) Capacitor (50V 22uF)
6) Resistor (1.2K)
7) LED (Green)

Schematics


Detection Setup

In this part, we use BWP34 Silicon PIN Photodiode as the detector. Here the capacitor and resistor are used to protect the photodiode.


Lock-In Amplifier Setup

A lock-in amplifier is a type of amplifier that can extract a signal with a known carrier wave from an extremely noisy environment.


Video

In this video Media:SMOKE_VIDEO.mp4, we have recorded the voltage change in the lock-in amplifier under the situation when the smoke (vaporised tin) gradually drifts in, maintains and finally disappears.


Data Plot

The voltage variation in the lock-in amplifier

According to the signal, we can find that the voltage magnitude is related to the smoke. When smoke is absent, the magnitude is about -0.2V. With the presence of smoke, the magnitude drops to around -4V, and it goes back to about -0.4V when the smoke disappears. Using this set up, we can detect the appearance of smoke by observing the output of the lock-in amplifier, which means the smoke detector is successfully built.


Error Analysis

  • From -127.2s to -58.1s, there is no smoke. The signal from lock-in amplifier is V1=-0.242±0.192V
  • From -58.1s to -36.5s, the smoke went into the pipe, the amplitude raised in this period.
  • From -36.5s to 30.2s, the signal from lock-in amplifier is V2=-4.233±1.192V
  • From 30.2s to 38.8s, the smoke is removed from the pipe and the signal is reduced.
  • From 38.8s to 72.8s, the signal from lock-in amplifier is V3=-0.434±0.242V

In this experiment we use the variance as the uncertainty of the signal. The uncertainty is significantly larger in smoke condition, this could be due to the unevenness of the smoke.


Conclusion

Conclusion on Result

From the data we can conclude that the smoke detector works since we can clearly distinguish the presence (low voltage) or absence (0 volt) of smoke.


Further Discussion

Due to lack of measurement means and smoke with wide range of particle sizes, our group could not quantify the smoke and calculate the accuracy of the smoke detector. However, we have a rough idea:


Reference

Error Analysis in Experimental Physical Science: https://faraday.physics.utoronto.ca/PVB/Harrison/ErrorAnalysis/ErrorInMean.html