Particle sensor and sensing method
10859485 ยท 2020-12-08
Assignee
Inventors
Cpc classification
B03C3/12
PERFORMING OPERATIONS; TRANSPORTING
B03C3/017
PERFORMING OPERATIONS; TRANSPORTING
B03C2201/06
PERFORMING OPERATIONS; TRANSPORTING
B03C3/38
PERFORMING OPERATIONS; TRANSPORTING
B03C3/368
PERFORMING OPERATIONS; TRANSPORTING
International classification
B03C3/12
PERFORMING OPERATIONS; TRANSPORTING
B03C3/017
PERFORMING OPERATIONS; TRANSPORTING
B03C3/36
PERFORMING OPERATIONS; TRANSPORTING
B03C3/38
PERFORMING OPERATIONS; TRANSPORTING
Abstract
A particle sensor includes an aperture for receiving a gas flow with entrained particles, an electrostatic particle charging section, a parallel-plate particle precipitation section; and a sensor for detecting precipitated particles to produce a sensor signal. The sensor signal I.sub.sensor is related to an apparent particle number concentration of the particles in the gas flow entering the charging section by a calibration constant S.sub.1, such that I.sub.sensor=f(N.sub.app, S.sub.1), the calibration constant being dependent on a count mean diameter of the particles in the gas flow entering the charging section according to a first relationship. The particle sensor includes a pre-filter positioned upstream from the charging section, the pre-filter filtering a part of the particles from the gas flow entering the pre-filter, a fractional degree of particle filtering depending on the count mean particle diameter of the particles entering the pre-filter according to a second relationship.
Claims
1. A particle sensor, comprising: an input aperture for receiving a gas flow with entrained particles; an electrostatic particle charging section; a parallel-plate particle precipitation section, wherein the parallel-plate particle precipitation section has a plate aperture; and a sensor, wherein the sensor is arranged to detect precipitated particles to produce a sensor signal, wherein the sensor signal Isensor is related to an apparent particle number concentration N.sub.app of the particles in the gas flow entering the charging section by a calibration constant S1, such that Isensor=f(Na.sub.pp, S1), wherein the calibration constant S1 is dependent on a count mean diameter d.sub.p,av(cs) of the particles in the gas flow entering the charging section according to a first relationship:
S.sub.1=f.sub.1(d.sub.p,av(cs)) wherein the particle sensor comprises a pre-filter positioned upstream from the charging section, wherein the pre-filter removes a portion of the particles from the gas flow entering the pre-filter, wherein a fractional degree of particle filtering depends on the count mean particle diameter d.sub.p,av of the particles entering the pre-filter according to a second relationship:
=f.sub.2(d.sub.p,av) wherein characteristics of the pre-filter are such that the produced sensor signal is in response to entrained particles which are not filtered out by the pre-filter relates to the apparent particle number concentration N.sub.app of the particles entering the pre-filter by a calibration constant S, wherein the calibration constant S is dependent on the count mean diameter d.sub.p,av of the particles entering the pre-filter according to a third relationship:
S=f.sub.3(d.sub.p,av) wherein the third relationship is less dependent on the respective count mean diameter than the first relationship for a range of count mean diameters 25 nm to 100 nm, such that the dependency of the sensor signal obtained from the parallel-plate precipitation section on a particle size distribution at the plate aperture is at least partly compensated for, such that the sensor signal is less dependent on the particle size distribution at the input aperture of the particle sensor.
2. The particle sensor as claimed in claim 1, wherein the first relationship is approximated by a linear relationship:
S.sub.1=A.sub.1.Math.d.sub.p,av(cs)+B.sub.1 wherein A.sub.1 and B.sub.1 are positive constants, wherein A.sub.1 and B.sub.1 depend on a gas flow rate, an applied particle precipitation voltage, and a design of the parallel-plate particle precipitation section.
3. The particle sensor as claimed in claim 2, wherein the second relationship is approximated according to a power relationship:
4. The particle sensor as claimed in claim 3, wherein the pre-filter and the operating gas flow speed are arranged such that the calibration constant S given by the third relationship according to an approximate function
5. The particle sensor as claimed in claim 1, wherein the pre-filter comprises an activated carbon filter.
6. The particle sensor as claimed in claim 5, wherein the pre-filter has a volume of at least 1 ml per 0.1 liter/min of the sampled gas flow.
7. A method of designing a particle sensor, comprising: designing an electrostatic particle charging section and a parallel-plate particle precipitation section, wherein the parallel-plate particle precipitation section has a plate aperture; selecting a sensor for detecting the precipitated particles to produce a sensor signal, wherein the sensor signal is related to an apparent particle number concentration N.sub.app of the particles entering the electrostatic charging section by a calibration constant S.sub.1, such that Isensor=f(Napp, S1), wherein the calibration constant S1 is dependent on a count mean diameter d.sub.p,av(cs) of the particles in a gas flow entering the charging section according to a first relationship:
S.sub.1=f.sub.1(d.sub.p,av(cs)), and designing a pre-filter for positioning upstream from the charging section, wherein the pre-filter has a second relationship between a fractional degree of particle deposition within the pre-filter and the count mean diameter d.sub.p,av of the particles in the gas flow entering the pre-filter:
=f.sub.2(d.sub.p,av) selecting characteristics of the pre-filter such that the sensor signal in response to entrained particles which are not filtered out by the pre-filter relates to the apparent particle number concentration N.sub.app of the particles entering the pre-filter by a calibration constant S, wherein the calibration constant S is dependent on the count mean diameter d.sub.p,av of the particles entering the pre-filter according to a third relationship:
S=f.sub.3(d.sub.p,av) wherein the third relationship is less dependent on the respective count mean diameter than the first relationship for a range of count mean diameters 25 nm to 100 nm, such that the dependency of the sensor signal obtained from the parallel-plate precipitation section on a particle size distribution at the plate aperture is at least partly compensated for, such that the sensor signal is less dependent on the particle size distribution at an input aperture of the particle sensor.
8. The method as claimed in claim 7, wherein the first relationship is approximated by a linear relationship:
S.sub.1=A.sub.1.Math.d.sub.p,av(cs)+B.sub.1 wherein A.sub.1 and B.sub.1 are positive constants, wherein A.sub.1 and B.sub.1 depend on a flow rate, a precipitation voltage, and a design of the parallel-plate precipitation section.
9. The method as claimed in claim 7, wherein the second relationship is approximated by a power relationship:
10. The method as claimed in claim 9, wherein the pre-filter and the operating airflow speed are arranged such that the calibration constant S given by the said third relationship according to an approximate function:
11. A particle sensing method, comprising: receiving a gas flow with entrained particles at an input aperture of a particle sensor; passing the gas flow through a pre-filter, wherein the pre-filter has a pre-filter relationship between a fractional degree of particle deposition within the pre-filter and a count mean particle diameter d.sub.p,av of the particles in the gas flow entering the pre-filter according to a second relationship:
=f.sub.2(d.sub.p,av); passing the pre-filtered gas flow through an electrostatic particle charging section; and using a parallel-plate particle precipitation section to detect the charge of the precipitated particles to produce a sensor signal, wherein the parallel-plate particle precipitation section has a plate aperture, wherein the sensor signal is related to an apparent particle number concentration N.sub.app of the particles entering the electrostatic charging section by a calibration constant S1, such that Isensor=f(Na.sub.pp, S1), wherein the calibration constant is dependent on the count mean particle diameter d.sub.pav(cs) of the particles entering the electrostatic charging section according to a first relationship:
S.sub.1=f.sub.1(d.sub.p,av(cs)), wherein the sensor signal, in response to entrained particles which are not filtered out by the pre-filter, relates to the apparent particle number concentration N.sub.app of the particles entering the pre-filter by a calibration constant S, wherein the calibration constant S is less dependent on the count mean diameter d.sub.p,av of the particles entering the pre-filter according to a third relationship:
S=f.sub.3(d.sub.p,av), wherein the third relationship is less dependent on the respective count mean diameter than the first relationship for a range of count mean diameters 25 nm to 100 nm, such that the dependency of the sensor signal obtained from the parallel-plate precipitation section on a particle size distribution at the plate aperture is at least partly compensated for, such that the sensor signal is less dependent on the particle size distribution at the input aperture of the particle sensor.
12. The method as claimed in claim 11, wherein the first relationship is approximated by a linear relationship:
S.sub.1=A.sub.1.Math.d.sub.p,av(cs)+B.sub.1 wherein A.sub.1 and B.sub.1 are positive constants, wherein A.sub.1 and B.sub.1 depend on a flow rate, a precipitation voltage, and a design of the parallel-plate particle precipitation section.
13. The method as claimed in claim 11, wherein the second relationship is approximated by a power relationship:
14. The method as claimed in claim 13, wherein the pre-filter and the operating airflow speed are arranged such that the calibration constant S given by the said third relationship according to an approximate function:
Description
BRIEF DESCRIPTION OF THE DRAWINGS
(1) Examples of the invention will now be described in detail with reference to the accompanying drawings, in which:
(2)
(3)
(4)
(5)
(6)
(7)
DETAILED DESCRIPTION OF THE EMBODIMENTS
(8) The invention provides a particle sensor, comprising an electrostatic particle charging section and a parallel-plate particle precipitation section, and a sensor for detecting the precipitated particles to produce a sensor signal. A pre-filter is placed before the charging section. The pre-filter characteristics are such that the sensor signal in response to entrained particles which are not filtered out by the pre-filter relates to the apparent particle number concentration N.sub.app at the particle sensor input by a calibration constant S which is less dependent on the count mean diameter d.sub.p,av of the particles in the gas flow entering the particle sensor than in the situation wherein no pre-filter is present. Thus, the dependency of the sensor signal derived from the precipitated particles in the precipitation section on the particle size distribution (caused by different degrees of particle precipitation at different particles sizes) is at least partly compensated for by a pre-filter possessing a suitable dependency of its particle filtering function on the particle size.
(9) The design and operation of known electrical ultra-fine particle (UFP) sensors will first be described in more detail. These sensors for example measure particles in the particle size range between approximately 10 nm and 500 nm.
(10) The most basic sensor implementation is shown in
(11) The sensor comprises an inlet 10 for receiving air at a flow rate c.
(12) A UFP charging section 12 comprises an air-ionizing high voltage electrode 14 surrounded by a porous screen electrode 16.
(13) Further downstream is a UFP precipitation section 18 comprising a Faraday cage 20 containing a particle filter that is capable of substantially filtering all airborne particles from the sampled airflow that passes through the UFP sensor.
(14) A current meter 22 is connected to the Faraday cage. It measures the amount of particle-bound charge that deposits per unit time inside the Faraday cage as an electrical current I.sub.sensor. I.sub.sensor constitutes the sensor signal.
(15) There is a means 24 for moving a sampled airflow comprising the airborne UFPs through the sensor. This can be a ventilator, pump, or an ionic wind. There is an air flow outlet 26 which expels air at the flow rate .sub.C.
(16) As mentioned above, the inferred apparent UFP number concentration N.sub.app in the sampled airflow relates to the measured I.sub.sensor according to:
N.sub.app=S.Math.I.sub.sensor(1)
(17) This means that generally I.sub.sensor=f(N.sub.app,S).
(18) S is a calibration constant, which is substantially independent of the specifics of the particle size distribution and thus substantially independent of the count mean UFP diameter d.sub.p,av. Furthermore, the apparent particle number concentration N.sub.app is defined as:
(19)
N is the total UFP number concentration, d.sub.p,av is the count mean particle diameter, and d.sub.p,av* can be any pre-chosen default average particle diameter (usually d.sub.p,av=50 nm).
(20) Thus, N.sub.app is proportional to the product of N and d.sub.p,av. The product Nd.sub.p,av denotes the particle length concentration (m/m.sup.3). Knowledge of only N.sub.app is sufficient to assess the relative severity of the UFP-associated air pollution level. Separate knowledge of both N and d.sub.p,av is not required for that purpose.
(21) Equation 2 is valid for an average UFP particle size range 25 nmd.sub.p,av120 nm. This range encompasses the typically encountered UFP size distributions throughout the UFP diameter range 10 nmd.sub.p500 nm.
(22) Instead of the UFP sensor embodiment shown in
(23) The same reference numbers are used as in
(24) Provided that all airborne charged UFPs precipitate, the above equations, Eqs. 1 and 2, still hold.
(25) Use of the embodiment in
(26) As mentioned above, when a parallel-plate electrostatic precipitator is used, it likely means that not all airborne particles will be removed from the sampled airflow and this prevents an unambiguous interpretation of I.sub.sensor in terms of N.sub.app.
(27)
(28) All plots in
(29) All plots in
(30) The values of S.sub.1 in
(31) The invention is based on an investigation which has shown that, as a result of incomplete precipitation of particles, the calibration constant (S.sub.1) becomes primarily dependent on the properties of the particle size distribution via the count mean particle diameter (d.sub.p,av) according to a linear relationship:
S.sub.1=A.sub.1.Math.d.sub.p,av+B.sub.1(3)
(32) The count mean particle diameter (d.sub.p,av) is for the particles entering the sensor, i.e. the charging section of the sensor. Thus, to distinguish over the case where there are other components between the air inlet and the sensor, a count mean particle diameter (d.sub.p,av(cs)) may be defined at the entry to the charging section, so that the calibration constant relates to the sensor alone.
(33) Then:
S.sub.1=A.sub.1.Math.d.sub.p,av(cs)+B.sub.1(3a)
(34) Generally, there is a first relationship relating to the sensor performance: S.sub.1=f.sub.1(d.sub.p,av(cs)).
(35) This linear relationship is seen in the examples of
(36) The numerical values of the positive constants A.sub.1 and B.sub.1 depend on the flow rate, the precipitation voltage, and the design specifics of the parallel-plate precipitator. They can either be calculated or determined experimentally.
(37) Thus, the actual behaviour of the parallel-plate precipitation section can be approximated by equation 3.
(38) Because for the particles entrained in a sampled airflow the count mean particle diameter (d.sub.p,av) is typically not known, the calibration constant (S.sub.1) is not known even when A.sub.1 and B.sub.1 are known, and the apparent ultrafine particle number concentration (N.sub.app) cannot be reliably determined by only measuring the electrical current (I.sub.sensor) that results from the deposition of particle-bound charge per unit time in the parallel-plate electrostatic particle precipitator.
(39) The invention is based on at least partly compensating the effect explained above by including a filter upstream from the particle charging section, wherein the filter is arranged to remove a portion of the particles from the sampled airflow.
(40) An example of the sensor according to the invention is shown in
(41) The installation of an appropriately designed activated carbon (AC) filter 40 upstream from the sensor charging section 12 helps to reduce the dependency of the calibration factor on the (generally unknown) count mean particle diameter as explained below.
(42) Through physical adsorption, the AC filter is capable of removing silicone-containing gases from the sampled airflow before they reach the ionization electrode in the sensor's charging section. In addition, the AC filter removes part of the airborne UFPs from the sampled airflow through diffusional UFP deposition on the AC material. The fractional degree of UFP deposition r on granular AC material has been found to decrease with increasing count mean UFP diameter d.sub.p,av (of the particles entering the filter) according to a power relationship of the form:
(43)
(44) Generally, there is a second relationship =f.sub.2(d.sub.p,av).
(45) In the above equation, denotes the removed fraction of the particle length concentration by the filter as a function of the count mean diameter of the particles entering the filter.
(46) The numerical values of the positive constants A.sub.2 and B.sub.2 depend on the characteristics of the filter and they can be determined experimentally.
(47) In equation 4, A.sub.2 and B.sub.2 are positive constants whose values depend on the granule size of the AC filter, the superficial airflow speed v, through the AC filter, and the length of the AC filter.
(48) Equation 4 was found to be valid in the range 25 nmd.sub.p,av100 nm for values <0.8.
(49) Two examples of power fits to a set of fractional particle length deposition values in AC filters are shown in
(50) Plot 50 is for experimental filtering data obtained with an activated carbon bed length of 16 mm at a superficial airflow speed 0.025 m/s, the activated carbon bed comprising cylindrical carbon granules of 2 mm in diameter.
(51) Plot 52 is for experimental filtering data obtained with an activated carbon bed length of 32 mm at a superficial airflow speed 0.025 m/s, the activated carbon bed comprising cylindrical carbon granules of 2 mm in diameter.
(52) To enable an adequate and long-lasting removal of silicone-containing vapours from sampled air, the granular AC filter should preferably have a volume of at least 1 ml per 0.1 liter/min sampled airflow. Thus, when the sampled airflow is 0.4 liter/min, the activated carbon filter should have a volume of at least 4 ml. At the typical density .sub.c=0.5 gram/cm.sup.3 of a granular AC bed, a 4 ml AC bed comprises approximately 2 grams of granular AC material.
(53) By varying the AC filter diameter, the AC filter length and/or the AC granule size in the AC filter, the diffusional deposition of UFP particles in the AC filter can be tuned to requirements.
(54) Because the diffusional UFP deposition in the AC filter follows Equation 4, the apparent UFP number concentration N.sub.app,down that exits the AC filter and then enters the UFP charging section relates to the UFP concentration N.sub.app in the sampled air at the input to the overall device according to:
(55)
(56) Subsequently, the concentration N.sub.app,down entering the sensor precipitation section gives rise to a sensor signal I.sub.sensor according to:
N.sub.app,down=(A.sub.1d.sub.p,av(cs)+B.sub.1).Math.I.sub.sensor(6)
Combining Equations (5) and (6) yields:
(57)
(58) Note that with a suitably designed pre-filter (for example cylindrical activated carbon granules that are at least 2 mm in diameter), only a minor difference remains between d.sub.p,av(cs) and d.sub.p,av, so that d.sub.p,av(cs) can approximately be replaced by d.sub.p,av. This yields:
(59)
(60) The section in square brackets represents the effective calibration constant which is defined by a third relationship S=f.sub.3(d.sub.p,av).
(61) By tuning the design of the AC filter in
(62)
reaches a minimum value in the range 25 nmd.sub.p,av50 nm, the calibration constant S in equation 8 becomes less dependent on d.sub.p,av than the dependency of S.sub.1 on d.sub.p,av(cs) according to equation 3a.
(63) The first relationship of equation (3a) above relates to the value d.sub.p,av(cs) of the particles entering the charging section. If not pre-filter is present, the value d.sub.p,av(cs) becomes equivalent to the value d.sub.p,av in the second and third relationships.
(64) The benefit of the invention is based on the improvement of the dependency of S on d.sub.p,av in the presence of the pre-filter compared to in the absence of the pre-filter.
(65) The effect of the presence of different filters on the dependency of S on d.sub.p,av is illustrated in
(66) A reduced dependency of S on d.sub.p,av can thus be achieved based on design of the AC bed in combination with the design of the UFP sensor and the process conditions existing in the UFP sensor, the relative dependency of S on d.sub.p,av becoming minimized when the minimum value for S is realized within the range 25 nmd.sub.p,av50 nm.
(67) When the dependency of S on d.sub.p,av is sufficiently reduced, equation 1 approximately holds again for the relationship between I.sub.sensor and N.sub.app even in the situation wherein only a portion of the UFPs precipitates in the precipitation section of the sensor.
(68) The end result is that the pre-filter makes the response of the overall sensor device (i.e. pre-filter, charging section and parallel-plate precipitation section) substantially independent of the particle size distribution (as represented by the count mean particle diameter) at the overall device input. The undesired dependency of the sensor signal to the particle size distribution at its input is then largely compensated for. A single calibration constant can then be used to correlate the sensor signal to the apparent particle number concentration at the input of the overall sensor device.
(69) The numerical values of A.sub.1 and B.sub.1 depend on the flow rate, the precipitation voltage, and the design specifics of the parallel-plate precipitator, while those of A.sub.2 and B.sub.2 depend on the characteristics of the pre-filter.
(70) The approach of the invention also addresses another problem. In UFP sensor designs such as shown in
(71) The pre-filter comprising activated carbon material removes gaseous compounds from the airflow before they reach the ionization electrode. Particularly the removal of silicone-containing gases prevents the formation of electrically-insulating silicon dioxide residues on the ionization electrode which would otherwise result in a reduction of the electrode functionality over time.
(72) Thus, the sensitivity of the UFP sensor to disturbances induced by SiO.sub.2 deposition on the ionizing electrode is substantially reduced by the pre-filtering when carried out with activated carbon in the pre-filter. The activated carbon material therein can be present as granules, as fibers, as particles coated on and in a foam support material, or as fine particles coated on a supporting sheet material.
(73) Other suitable pre-filters also exist, for example a mechanical fibrous filter. Any particle filter can be used which can be designed to create the desired compensation function with respect to the number-averaged particle diameter, i.e. the relationships shown in
(74) The invention provides a particle sensor which has been designed in the manner explained above, a design method as explained above, and a particle sensing method using the particle sensor.
(75) Other variations to the disclosed embodiments can be understood and effected by those skilled in the art in practicing the claimed invention, from a study of the drawings, the disclosure, and the appended claims. In the claims, the word comprising does not exclude other elements or steps, and the indefinite article a or an does not exclude a plurality. The mere fact that certain measures are recited in mutually different dependent claims does not indicate that a combination of these measured cannot be used to advantage. Any reference signs in the claims should not be construed as limiting the scope.