System method and apparatus for humidity sensor temperature compensation
A humidity sensor arrangement for providing temperature compensated measurements. A first sensor is configured internal to a housing for the sensor arrangement, and a second sensor is configured external to the housing. The first sensor measures a first relative humidity at a first temperature, and the second sensor measures second temperature external. A processor determines saturation pressures for the first and second sensors and compensates the first sensor by adjusting the relative humidity for the first sensor to be a product of the relative humidity for the first sensor and a ratio of the saturation pressure of the first and second sensors. Further compensation may be produced by applying a time-based filter algorithm to the outputs of the first and second sensors. Temperature sensors can be compensated to determine room temperature and compensated temp can be used for precise humidity compensation.
1. An apparatus for determining relative humidity, comprising:
a housing;
a relative humidity sensor arranged internal to the housing and configured to measure relative humidity internal to the housing;
a first temperature sensor mounted on an interior of the housing, wherein the first temperature sensor is configured to measure a temperature internal to the housing;
a second temperature sensor mounted on an exterior of the housing, wherein the second temperature sensor is configured to measure a temperature external to the housing; and
a processor, operatively coupled to the humidity sensor, the first temperature sensor, and the second temperature sensor;
wherein the processor is configured to obtain from the first temperature sensor the temperature measured internal to the housing, obtain from the second temperature sensor the temperature measured external to the housing, and obtain from the relative humidity sensor the relative humidity measured internal to the housing;
wherein the processor is configured to calculate a compensated temperature external to the housing as a function of the temperature measured external to the housing, the compensated temperature external to the housing accounting for heating of the second temperature sensor resulting from heat transfer from internal to the housing to the exterior of the housing where the second temperature sensor is mounted; and
wherein the processor is further configured to calculate the relative humidity external to the housing as a function of the temperature measured internal to the housing, the compensated temperature external to the housing, and the relative humidity measured internal to the housing.
2. The apparatus recited in claim 1 , wherein the processor is configured to calculate the compensated temperature external to the housing according to:
T room =T out −( m *( T in −T out ))
where T room is the compensated temperature external to the housing, T out is the temperature measured external to the housing, T in is the temperature measured internal to the housing, and m is a value that correlates the effect that the temperature measured internal to the housing has on the temperature the temperature measured external to the housing due to heat transfer through the housing where the second temperature sensor is mounted.
3. The apparatus recited in claim 2 , wherein m is determined experimentally by:
placing a plurality of sample apparatuses in an area;
normalizing the first and second temperature sensors of the plurality of sample apparatuses to each other and to an ambient temperature in the area;
supplying power to the plurality of sample apparatuses;
recording multiple temperature pairs comprising the temperatures measured internal and external to the housing of each sample apparatus at different time intervals;
plotting, for each temperature pair of each sample apparatus, values related to the difference between the temperatures measured internal and external to the housing versus the difference between the temperature measured external to the housing and the ambient temperature;
determining a best fit line for the plotted values; and
determining m as the slope of the best fit line.
4. The apparatus recited in claim 1 , wherein the processor is configured to apply a time-based filter to calculate a moving average of the temperatures measured external to the housing, the processor being further configured to calculate the compensated temperature external to the housing as a function of the moving average of the temperatures measured external to the housing.
5. The apparatus recited in claim 4 , wherein the processor is configured to apply the time-based filter sequentially.
6. The apparatus recited in claim 4 , wherein the processor is configured to apply the time-based filter symmetrically.
7. A method for determining relative humidity with a sensor including a housing, a relative humidity sensor arranged internal to the housing, a first temperature sensor mounted on an interior of the housing, and a second temperature sensor mounted on an exterior of the housing, the method comprising:
measuring via the relative humidity sensor a relative humidity internal to the housing;
measuring via the first temperature sensor a temperature internal to the housing;
measuring via the second temperature sensor a temperature external to the housing;
calculating a compensated temperature external to the housing as a function of the temperature measured external to the housing, the compensated temperature external to the housing accounting for heating of the second temperature sensor resulting from heat transfer from internal to the housing to the exterior of the housing where the second temperature sensor is mounted; and
calculating the relative humidity external to the housing as a function of the temperature measured internal to the housing, the compensated temperature external to the housing, and the relative humidity measured internal to the housing.
8. The method recited in claim 7 , wherein calculating the compensated temperature external to the housing comprises calculating the compensated temperature external to the housing according to:
T room =T out −( m *( T in −T out ))
where T room is the compensated temperature external to the housing, T out is the temperature measured external to the housing, T in is the temperature measured internal to the housing, and m is a value that correlates the effect that the temperature measured internal to the housing has on the temperature the temperature measured external to the housing due to heat transfer through the housing where the second temperature sensor is mounted.
9. The method recited in claim 8 , further comprising determining m experimentally by:
placing a plurality of sample apparatuses in an area;
normalizing the first and second temperature sensors of the plurality of sample apparatuses to each other and to an ambient temperature in the area;
supplying power to the plurality of sample apparatuses;
recording multiple temperature pairs comprising the temperatures measured internal and external to the housing of each sample apparatus at different time intervals;
plotting, for each temperature pair of each sample apparatus, values related to the difference between the temperatures measured internal and external to the housing versus the difference between the temperature measured external to the housing and the ambient temperature;
determining a best fit line for the plotted values; and
determining m as the slope of the best fit line.
10. The method recited in claim 9 , further comprising applying a time-based filter to calculate a moving average of the temperatures measured external to the housing, wherein calculating the compensated temperature external to the housing comprises calculating he compensated temperature external to the housing as a function of the moving average of the temperatures measured external to the housing.
11. The method recited in claim 10 , further comprising applying the time-based filter sequentially.
12. The method recited in claim 10 , further comprising applying the time-based filter symmetrically.
13. A method for determining relative humidity with a relative humidity sensor comprising:
compensating a temperature measured external to a sensor housing via an externally mounted temperature sensor for heating of the externally mounted temperature sensor due to heat generated by electronic components of the relative humidity sensor internal to the housing; and
calculating the relative humidity external to the housing as a function of a temperature measured internal to the housing, the compensated temperature external to the housing, and a relative humidity measured internal to the housing.
14. The method recited in claim 13 , wherein calculating the compensated temperature external to the housing comprises calculating the compensated temperature external to the housing according to:
T room =T out −( m *( T in −T out ))
where T room is the compensated temperature external to the housing, T out is the temperature measured external to the housing, T in is the temperature measured internal to the housing, and m is a value that correlates the effect that the temperature measured internal to the housing has on the temperature the temperature measured external to the housing due to the heat generated by electronic components of the relative humidity sensor internal to the housing.