Dissolved Oxygen Circuit |
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This page describes aspects of measuring Dissolved Oxygen (DO2) , focussing mostly on the Clark type of sensor. Marine life depends on the small amount of oxygen dissolved in water. Productivity can be affected by having insufficient oxygen. Oxygen levels can vary widely in rivers, lakes and the ocean, so monitoring oxygen levels can be important. There are three 'families' of sensor commonly used:
| Clark polarographic electrode | YSI |
| Galvanic cell | Eutech |
| Fibre Optic Oxygen Sensor | Ocean Optics |
| Information and useful formulae | Automated Aquariums |
| Examples of calibration procedures with tables | US Geological Survey |
The Clark sensor was developed the earliest of these three types, and despite its problems can provide satisfactory results if it is well understood. It still appears to be the most popular type, probably because of availability, and despite the advantages of the galvanic (self polarising) type. The sensors are all expensive, though the relatively new fibre optic type could eventually become lower cost.
Operation
The Clark polarographic sensor has a pair of electrodes, usually gold (Au) and silver (Ag) operating in an electrolyte of potassium chloride (KCl). The electrodes are separated from the sample solution (water and dissolved oxygen) by a membrane, which allows oxygen to pass, while keeping the sample solution out. The sensor cathode (Au) is held at a constant potential (~ -0.8V) reference the anode (Ag/AgCl). This polarisation makes the cell selective to oxygen mostly. The electrical current that flows is then proportional to the oxygen that passes through the membrane.
The galvanic cell is related to the Clark cell, being a 'self biasing' cell. It can be seen as a cell generating an output current proportional to oxygen. It seems less troublesome in some applications. They do wear out, but they can last several years.
Considerations
These apply especially when using continuous rather than pulsed polarisation:
Problems
These problems are mostly not present with a galvanic cell, which is generally thought to be superior, but the problems can also be minimised by using the pulsed method.
Measurement Units
Calibration Tables
The amount of oxygen dissolved in the water when saturated depends on the temperature and salinity. This table gives a feel for the dissolved oxygen relationship in mg/l. Further corrections are required for barometric pressure. The amount of oxygen absorbed depends on atmospheric pressure. Note that 1013 hPa = 760 mm of Hg. The two references at the top of the page have formulae, and tables that can be printed.
| TEMP oC |
SALINITY (ppt) |
|||||
| 0 ppt | 9 ppt | 18.1 ppt | 27.1 ppt | 36.1 ppt | 45.2 pt | |
| 0 | 14.62 | 13.73 | 12.89 | 12.10 | 11.36 | 10.66 |
| 10 | 11.29 | 10.66 | 10.06 | 9.49 | 8.96 | 8.45 |
| 20 | 9.09 | 8.62 | 8.17 | 7.75 | 7.35 | 6.96 |
| 25 | 8.26 | 7.85 | 7.46 | 7.08 | 6.72 | 6.39 |
| 30 | 7.56 | 7.19 | 6.85 | 6.51 | 6.20 | 5.90 |
| 40 | 6.41 | 6.12 | 5.84 | 5.58 | 5.32 | 5.08 |
| Total Air Pressure (hPa = mB) |
O2 Partial
Pressure (kPa) |
Concentration (mg/L) |
| (~21% = .020948 x Total) | (.53 x PP)(.3976 x Partial) | |
| 1030 | 21.576 | 8.58 |
| 1020 | 21.366 | 8.50 |
| 1013 | 21.22 | 8.44 |
| 1010 | 21.157 | 8.41 |
| 1000 | 20.948 | 8.33 |
| 990 | 20.738 | 8.25 |
| 980 | 20.529 | 8.16 |
Circuit Operation

Referring to the diagram above, the sensor details shows one form of Clark sensor. The gold cathode is connected to the circuit so it is biased to -830 mV. Any current which flows is converted to voltage. This circuit is suitable for microelectrodes where the sensor current is very low. Values of a few picoamps imply a feedback resistor of hundreds of megohms, so a very low bias current opamp is needed in this case. The capacitor across the feedback resistor is required for stability. It may be very small (30 pF) with the very high value feedback resistors, and needs suitable insulation. The current input node is at the bias potential. The output is 830 mV with no sensor current, so additional components may be required (not shown). Alternatively the polarising voltage can be applied directly to the sensor electrode, and the + input of the current to voltage converter grounded.

Typical commercial oxygen sensors have an output current of microamps. The current can be measured by using an instrumentation amplifier across the series load resistor. In this case the instrumentation amplifier suppresses electrical noise and interference, allowing the sensor to work with others in the test solution. The sensor and its polarising supply are floating from ground, except for the small current through the instrumentation amplifier's bias return resistor.
The load resistor is sized so that there is 10-20 millivolts across it at full scale oxygen. It represents a short circuit. Set the gain resistor for an appropriate output voltage.
The polarising supply is floating (insulated) from ground. It can be powered by a battery or by an isolated power supply (small transformer inverter with electrostatic screen between primary and secondary). The inverter has separate windings for a multi-channel system. This inverter can be switched on and off to use the pulsed mode. The output of the opamp does not load the sensor when it is powered down, due to its internal diodes (using an LT1077 etc.).
Pulsed Mode
The pulsed mode described was developed for oceanography by Dr. Chris Langdon, and he has published several papers about it. The polarising potential is pulsed every few minutes. It is off during the rest of the time, so the oxygen levels inside the membrane can recover. This makes the method more or less flow independant, and reduces most of the effects that are membrane dependant. There are many benefits, such as longer period between calibration, less oxygen consumed, flow rate dependency removed. The repeatability of measurements improves by an order of magnitude. The measurement is taken after the pulse has 'developed', and before it approaches the steady state condition. For a typical YSI style sensor the measurement is taken 1.5 seconds after the pulse is applied, and lasts for less than one second. If the measurement is taken too soon the oxygen linearity suffers. If it is taken too late it approaches the steady state performance, and there is no advantage. The disadvantage of this system is that the response to oxygen change is slower.

To use the pulsed mode the following ADC needs to have 16 bits resolution for sufficient dynamic range. Alternately, the signal can be clipped as the initial peak following switch on is not needed. The polarising voltage should be adjusted to one volt for the pulsed mode because the sensor's internal voltage drop is increased during the stronger part of the current pulse.
Galvanic Sensor

This circuit is suitable for the galvanic type of electrode, which does not require an external polarising potential. The load resistor is sized to about 2 x 47 ohms, representing a short circuit. There is about 3 mV full scale across the load resistors. The amplifier bias current return resistor can be 1 megohm. The sensor floats (from ground), while the amplifier bias current from the inputs can return to the power supply common (ground).
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