The present invention relates to a method for processing a measuring signal from a pressure measuring cell and a measuring cell arrangement with a pressure measuring cell.
It is known to measure pressures or pressure differences in such a way that a thin membrane is subjected to pressure and the deflection resulting therefrom is measured. A known and suitable method to measure the deflection of such membranes consists of forming the membrane arrangement as a variable electrical capacitance, wherein the change in the capacitance, which correlates with the change in pressure, is evaluated via an electronic measuring system. The capacitance is formed in that the thin, flexible membrane surface is arranged at a small distance from a further surface of a body and both mutually opposite surfaces are formed to be electrically conductive. If the membrane and the body consist of non-conductive dielectric material, the surfaces are coated with an electrical coating for example, so that capacitor electrodes are formed. The membrane and/or the body can also be formed themselves of electrically conductive material, wherein in this case the surfaces again form the capacitor electrodes. If pressure is applied to the membrane, the distance between the two electrodes changes as a result of deflection, which leads to a change in capacitance that can be evaluated. Sensors of this kind are produced in large numbers from silicon, for example. Both the flat base body and the membrane often consist entirely of silicon. There are also other embodiments with combined composition of materials, e.g. silicon with a glass base. The sensors can thus be produced at low cost. Pressure sensors of this type can for the most part only be used for higher pressure ranges in the range of approximately 10−1 mbar to a few bars. A high resolution at lower pressures from approximately 10−1 mbar can no longer be realized with silicon material. Sensors of this kind are not suitable for typical vacuum applications. For the various vacuum processes to be monitored, pressure measurements are often carried out in a vacuum between atmospheric pressure and 10−6 mbar. Such measurements require high sensitivity with high resolution and good reproducibility of the vacuum pressure measurement, which can only be provided by specially designed measuring cells which completely deviate from the design of the high-pressure measuring cell.
Capacitive membrane pressure measuring cells which are made of corrosion-proof materials such as Al2O3 are especially suitable for vacuum pressure measurement. A known capacitive vacuum measuring cell, which is substantially completely made of ceramics and is largely corrosion-proof, is described in EP 1 070 239 B1. In order to enable the measurement of very low pressures to 10−6 mbar with high precision, a very thin ceramic membrane with a thickness of 60 μm is used, for example, which is arranged in a tension-free and symmetric manner in a ceramic housing.
The distance of the capacitor electrodes or the membrane surfaces from the surface of the housing body preferably lies in the range of 2 to 50 μm. The diameters of such membrane pressure measuring cells preferably lie in the range of 5 to 80 mm. The thus formed capacitances to be measured lie in the range of 10 pF to 32 pF. Thanks to new electronics, we can now measure capacitances in a range of 5 pF to 1000 pF. The measured capacitance is used as a measure for the pressure to be measured. This capacitance changes accordingly under a pressure-dependent deflection of the membrane, by means of which the pressure applied to the membrane can be detected. This measurement of the capacitance must occur in a very precise way and is not easy to carry out in the case of very low capacitance values because the low capacitances lead to the consequence that the changes in capacitance caused by the changes in the pressure are extremely small. As a result, the electrical signals generated or derived therefrom are exceptionally low and thus susceptible to disturbances.
Accordingly, high demands are thus placed on the signal processing systems for processing pressure signals according to the explanations made above. Furthermore, filter algorithms are used for optimizing the properties of the measured pressure signals for further use, e.g. for controlling the pressure in process chambers. This is an attempt to provide a filter algorithm which simultaneously achieves two contradictory objectives for processing pressure signals. Firstly, a transient response, for example after a step-like change in the measuring signal, should be completed as rapidly as possible, i.e., the output signal of the filter should lead as quickly as possible to a stable output signal. As a result, any necessary action due to a change in pressure can be initiated as rapidly as possible. Secondly, a potential noise signal must be suppressed as strongly as possible by the filter algorithm. Thus, this requires a filter that is as fast as possible according to the first condition, whereas according to the second condition a rather slow filter is desirable.
Numerous efforts are known to provide a filter algorithm and thus a transfer function for a filter for processing the measuring signal so as to achieve the two contradictory objectives. The known filter algorithms are based on compromises, which in the present application of pressure measurement using highly sensitive sensors do not lead to satisfactory results.
U.S. Pat. No. 5,838,599 describes a variant for a filter, which permits both short transient responses during a rapid change of the input signal and a good reduction in the noise signal components in the input signal in the steady state.
Furthermore, reference is made to US 2013/0016888 A1, which discloses a complex computational method with a linear filter for eliminating noise.
It is the object of the present invention to provide a simple method for processing a measuring signal in which a distinct suppression of the noise signal is achieved, but simultaneously allows a rapid reaction to relevantly changing measuring signals.
This object is achieved by the features of claim 1. Advantageous embodiments as well as a measuring cell arrangement with a pressure measuring cell are provided in the further claims.
The method according to the invention for determining a pressure in a pressure cell lies in the fact
One embodiment of the method according to the invention lies in the fact that the pressure in the pressure cell is set at least proportional to the output signal. A closed control system is thereby obtained that is extremely stable and robust.
The output signal is linear and thus excellently suited as the actual value for modern controllers (state controller).
One embodiment of the method according to the invention lies in the fact that a transfer function has at least in a first order a low pass characteristic, wherein its time constant is set in a function of the time change of the measuring signal.
Further embodiments of the method according to the invention consist in the fact that an average value of the measuring signal is determined, that a difference signal is determined by a difference formation between the measuring signal and the average value of the measuring signal, and that the time change of the measuring signal is derived at least from the difference signal.
Further embodiments of the method according to the invention consist in the fact that the average value of the multiple substrate is determined using an exponential average filter, which for a time-discrete measuring signal is defined by
f
n=β1·xn+(1−β1)·fn−1
wherein f is the time-discrete output signal, β1 is a variable, x the time-discrete measuring signal, and n a time-dependent index, wherein the variable β1 preferably has a value between 1 and 0, especially preferably between 1 and 0.1, and most especially preferably between 0.85 and 0.95.
Further embodiments of the method according to the invention consist in the fact that the time change of the measuring signal is determined by forming an average value of the difference signal.
Further embodiments of the method according to the invention consist in the fact that the time change of the measuring signal is determined using an exponential average filter, which for a time-discrete difference signal is determined by
(Δx/ΔT)n=β2en+(1−β2)·(Δx/ΔT)n−1
wherein (Δx/ΔT)n is the time-discrete change in the measuring signal, β2 is a variable, e is the time-discrete difference signal, and n a time-dependent index, wherein the variable β2 preferably has a value between 1 and 0, especially preferably between 0.5 and 0.01, and most especially preferably between 0.5 and 0.15.
Further embodiments of the method according to the invention consist in the fact that the time constant of the transfer function of a time-discrete system is determined by
wherein ΔT corresponds to the sampling interval in the time-discrete system and α is a variable those value is at least proportional to the time change of the measuring signal, but does not go below a minimal value of αmin, and does not exceed a maximal value of αmax, wherein the minimal valve αminpreferably is between 0.0 and 0.1, especially preferably between 0.0 and 0.01, while the maximal value amax lies most preferably between 0.3 and 1.0.
Further embodiments of the method according to the invention lie in the fact that the transfer function is defined by the formula
y
n
=α·x
n+(1−α)·yn−1
wherein y is the time-discrete output signal, x is the time-discrete measuring signal, α is a variable whose value depends on the time change of the measuring signal, and n is a time-dependent index.
Still other embodiments of the method according to the invention consist in the fact that the measuring signal is processed in a fast path for producing an output pulse, wherein the output pulse of the fast path is active at least as long as the measuring signal change measured in at most three sampling intervals is greater than the noise measured in the same period in the measuring signal or in the measuring signal change.
Still further embodiments of the method according to the invention line in the fact that the measuring signal further is processed in a slow path for producing a switching signal, wherein the switching signal of the slow path is active at least as long as the change of the measuring signal measured for longer than 2*TS is greater than the noise in the measuring signal measured in the same time period, or is in the measuring signal change, wherein TS is a predetermined pulse width of the output pulse, and that the variable α receives a value depending on an OR operation between the output pulse and the switching signal.
Still further embodiments of the method according to the invention consist in the fact that the variable α assumes at least after a predetermined transition time after a switching process either the value α1 or the value α2, wherein the value for α1 preferably lies in the region of 0.01 to 0.9 and wherein the value for α2 preferably lies in the region of 0.0001 to 0.01.
Still further embodiments of the method according to the invention consist in the fact that switching from a value α1 to a value α2 occurs over a timespan Fin and/or that switching from a value α2 to a value α1 occurs over a timespan Fout.
Furthermore, the invention relates to a measuring cell arrangement with a pressure cell and a membrane pressure cell functionally connected to the pressure cell, producing a pressure-dependent measuring signal that is applied to a filter unit having a transfer function for producing an output signal, wherein a time change of the measuring signal may be determined, and the transfer function in the function of the time change of the measuring signal is adjustable.
An embodiment of the measuring arrangement according to the invention lies in the fact that the output signal may be used for setting the pressure in the pressure cell, and here in particular for setting the pressure in a process chamber.
An embodiment of the measuring arrangement according to the invention, lies in the fact that the transfer function, at least in a first order, comprises a low pass characteristic, wherein its time constant in the function of the time change of the measuring signal is adjustable.
Further embodiments of the measuring arrangement consist in the fact that an average value of the measuring signal may be determined, that a difference signal may be determined through a difference formation between the measuring signal and the average value of the measuring signal, and that the time change of the measuring signal may be derived at least from the difference signal.
Further embodiments of the measuring arrangement according to the invention consist in the fact that the average value of the measuring signal may be determined using an exponential average filter, which is defined for a time-discrete measuring signal by
f
n=β1·xn+(1−β1)·fn−1
wherein, f is the time-discrete average value of the measuring signal, β1 is a variable, x is the time-discrete measuring signal, and n is a time-dependent index, where the variable β1 preferably has a value between 1 and 0, especially preferably between 1 and 0.1, and most especially preferably between 0.85 and 0.95.
Further embodiments of the measuring arrangement according to the invention consist in the fact that the time change of the measuring signal may be determined by forming an average value of the difference signal.
Further embodiments of the measuring arrangement according to the invention consist in the fact that the time change of the measuring signal may be determined using an exponential average filter, which is defined for a time-discrete difference signal by
(Δx/ΔT)n=β2en+(1−β2)·(Δx/ΔT)n−1
wherein (Δx/ΔT)n is the time-discrete time change of the measuring signal, β2 is a variable, en is the time-discrete difference signal and n is a time-dependent index, wherein the variable β2 preferably has a value between 1 and 0, especially preferably between 0.5 and 0.01, and most especially preferably between 0.05 and 0.15.
Further embodiments of the measuring arrangement according to the invention consist in the fact that the time constant of the transfer function of a time-discrete system is defined by
wherein ΔT corresponds to the sampling interval in the time-discrete system and α is a variable whose value is at least proportional to the time change of the measuring signal, but is not less than a minimal value αmin and is not greater than a maximal value αmax, wherein the minimal value αmin preferably lies between 0.0 and 0.1, especially preferably between 0.0 and 0.01, while the maximal value amax most preferably lies between 0.3 and 1.0.
Further embodiments of the measuring arrangement according to the invention consist in the fact that the transfer function is defined by the formula:
y
n
=α·x
n+(1−α)·yn−1
wherein y is the time-discrete output signal, x is the time-discrete measuring signal, α is a variable whose value depends on the time change of the measuring signal, and necessary is a time-discrete index.
Further embodiments of the measuring arrangement according to the invention consist in the fact that the measuring signal is applied to a fast path for producing an output pulse, wherein the output pulse of the fast path is active at least as long as the measuring signal change measured during at least three sampling intervals is greater than the noise in the measuring signal or in the measuring signal change measured in the same period of time.
Further embodiments of the measuring arrangement according to the invention consist in the fact that the measuring signal is further applied to a slow path for producing a switching signal, wherein the switching signal of the slow path is active at least as long as the change in the measuring signal measured for longer than 2*TS is greater than the noise in the measuring signal or in the measuring signal change measured in the same time period, wherein TS is a minimal pulse width of the output signal and that the variable α acquires a value depending on an OR operation between the output pulse and the switching signal.
Further embodiments of the measuring arrangement according to the invention consist in the fact that the variable α after a predetermined transition time following a switching process assumes either the value α1 or the value α2, wherein the value for α1 preferably lies in the range of 0.01 to 0.9, and wherein the value for α2 preferably lies in the range of 0.0001 to 0.01.
Further embodiments of the measuring arrangement according to the invention consist in the fact that a transition unit is provided between the filter unit and the decision unit, in which switching from a value of α1 to a value of α2 occurs over a timespan Fin and/or switching from a value of α2 to a value α1 over a timespan of Fout.
It is pointed out that the above embodiments may be combined in any manner desired. Only those combinations of embodiments are excluded that would by combination lead to a contradiction.
Below embodiments of the present invention are explained in detail by drawings. Wherein:
It is also conceivable—in a simplified embodiment of the present invention—that the output signal y of the signal processing unit 4 is not used for controlling the pressure in a process chamber. In this case this is not a closed system but an open system. Here a pressure is measured in a pressure cell of any desired type—similarly to in the process chamber according to
The invention now relates—again with consideration of the embodiments according to
The output signal y of the signal processing unit 4 is processed further in the control unit 5 for example with a so-called P-, PI-, PID- or state controller. The controller implemented in the control unit 5 is responsible in particular for optimal tracking of the control signal s for the valve actuator 6 or for the valve 7.
Basically, the statements regarding processes in the signal processing unit 4 and their block diagram images both for the embodiments in a closed system and for the embodiments in an open system are valid.
As is plain from
The filter unit 10 has a filter characteristic that is defined in a time-discrete system for example according to the following equation:
y
n
=α·x
n+(1−α)·yn−1
Here y is the time-discrete output signal, x is the time-discrete measuring signal, n is a time-dependent index, and α is a variable whose value decisively determines the time constant of the filter unit 10. The object of the present invention is optimal setting of the value for the variable α in such a way that a noise signal in measuring signal x is suppressed to the extent possible or even eliminated, but at the same time a changing pressure in the process chamber is identified so as to be able to react to it with the appropriate speed.
The mentioned equation with the variable α has as the filter characteristic for suppression of the noise signal portion a low pass characteristic, wherein the time constant τ can be defined for a first-order filter as follows:
The choice of values for the variable α is decisive for the present invention. When there is a stable pressure value, if the measuring signal x receives only a noise signal, the value of α is to be chosen as small as possible (αmin), for example 0.01. In this way, the noise signal presence in the measuring signal x is maximally suppressed and the filtered output signal y is preferably suited for use in the downstream controller of the control unit 5 (
On the other hand, a change in the measuring signal x based on an actual pressure change in the process chamber must be detected without delay, which makes a different value for the variable α necessary, namely for example of value for α between 0.3 and 1.0 (αmax).
The adjustment of the value for the variable α is implemented according to the invention depending on the time change of the measuring signal x, which is explained below in detail.
The difference signal e is a measure for the time change of the measuring signal x and is used in this embodiment according to the invention for setting the value for the variable α in the filter unit 10 (
The smoothing unit 13 implemented by means of an exponential average filter is defined by the recursive formula
f
n=β1·xn+(1−β1)·fn−1
wherein f is the time-discrete output signal, β1 is a variable, x is the time-discrete measuring signal and n is a time-dependent index, wherein the variable β1 with the exponential average filter for producing the difference signal f preferably has a value between 1 and 0, especially preferably between 1 and 0.1, and most especially preferably between 0.85 and 0.95.
The calculation unit 11 according to
e
n
=f
n
−x
n
The time change Δx/ΔT of the measuring signal x can thus be defined as follows from the time-discrete difference signal e:
(Δx/ΔT)n=β2en+(1−β2)·(Δx/ΔT)n−1
wherein (Δx/ΔT) is the time-discrete time change of the measuring signal x, en is the time-discrete difference signal e, and n is time-dependent index.
Also in this embodiment of the present invention, the time change Δx/ΔT or (Δx/ΔT)n hereby obtained of the measuring signal x at most has to be scaled, as was already explained in connection with the embodiment according to
The time change Δx/ΔT of the measuring signal x is scaled with a factor k (as already explained in connection with the embodiments shown in
All of the following specific numerical examples (in particular for the time constant τ) procedure from a typical sampling time ΔT (which may also be termed the cycle time) of 1 ms. Naturally the sampling time ΔT of 1 ms only serves as an example. The sampling time ΔT is basically selected within the scope of the available calculating performance and the necessary reaction time of the entire system.
As is plain in
In terms of quality, the following principles can be formulated with regard to parameters α1 and α2 of filter unit 10 (
Measuring signals x, which do not change in the time function (i.e., if no pressure changes are present), can be filtered intensely so as to maintain a maximal noise suppression. It has been shown that for the parameter α2, values between 0.0001 (τ˜10 s) and 0.01 (τ˜100 ms) are suited. A preferred value for the parameter α2 here is 0.001 (τ˜1 s).
Measuring signals x that change in a function of time (i.e., if pressure changes are present) need to be less intensely filtered. In this case, the parameter α1 defines the damping factor. This is therefore typically chosen to be larger than the parameter α2. It has been shown that for the parameter α1, values between 0.1 (τ˜100 ms) and 0.9 (τ˜0.1 ms) are suitable. A preferred value for the parameter α1 here is 0.1 (τ˜9 ms).
As already mentioned, the slope determination unit 50 initially consists of the two functional blocks “fast” 20 and “slow” (30, wherein the functional block “fast” produces an output signal FC for fast changes and the functional block “slow” 30 an output signal SC for slow changes, from which a control signal SW is obtained by an “OR” operation as follows:
SW=FC OR SC
The result of an active control signal SW—as follows from the flow diagram of
The functional block “fast” 20 detects and reacts within a sampling interval ΔT (wherein the sampling interval ΔT again is 1 ms, for example) to fast changes of the measuring signal x, but is relatively insensitive to slow or constant measuring signal changed. The slow or constant measuring signal changes are detected by the functional block “slow” 30.
The boundary between slow and fast measuring signals x is indicated by the functional block “fast” 20:
If the frequency of the measuring signal x is smaller than
from the standpoint of the functional block “fast” 20 this is a slow measuring signal x; otherwise it is a fast measuring signal x. The meaning of these statements and the resultant reaction will be examined in detail in connection with the explanations of the functional blocks 20 and 30.
The output signal Δx/ΔT of the calculation unit 11 is sent to a value unit 21, in which the value of Δx/ΔT is determined and sent to an addition unit 25. In a further value unit 22, the value of the difference signal e likewise determined in the calculation unit 11 is obtained. The value signal |e| is then again smoothed in an average filter 23 with the parameter β3 in accordance with the following formula:
h
n
=β
3
·|e
n|+(1−β3)·hn−1
wherein the output signal hn after scaling with the factor CF in a multiplication unit 24 is sent to the additional unit 25, where the difference between the value signal
and CF·h is determined. The result is sent to a threshold value detector 26, which produces a trigger when a predetermined threshold value is exceeded, which is sent to a monoflop 27. The monoflop 27, which is formed for example as a retriggerable monoflop, after receipt of a trigger at the input, produces an output pulse CF, whose length may be set over the pulse width TS. In this regard, “retriggerable” means that a trigger arriving during the time process restarts the internal time of the monoflop each time, and the active switching state is accordingly extended in time.
As already explained above, the signal Δx/ΔT constitutes a measure for the change in the measuring signal x. By filtering of the amount of the difference signal e with the average filter 23 and subsequent scaling with the factor CF, the signal CF·h is obtained. This is now a measure for the “basic noise” of the measurement of the measuring signal change Δx/ΔT. By comparing the signals CF·h and the amount of Δx/ΔT one thus obtains the binary control signal “trigger,” which is used to control the monoflop 27.
It has been shown that the damping factors β1 and β2 and β3 in particular should have the following values:
For β1 in a range of 0.1 to 0.001 (τ˜9 ms to 1 s), especially 0.01 (τ˜100 ms) as a typical value; for β2 in the range of 01 to 0.001 (τ˜9 ms−1 s), especially 0.01 (τ˜100 ms) as a typical value, and for β3 in the range of 0.01 to 0.0001 (τ˜100 ms to 10 ms), especially 0001 (τ˜1 s) as a typical value.
Proceeding from the pressure monitoring and pressure setting system shown in
For measuring signals x which have frequencies smaller than
the functional block “fast” 20 does not respond or responds with lower reliability than desirable. This is in particular because the pulse width TS of the monoflop 27 (
are therefore in the embodiment shown in
One embodiment for the functional block “slow” 30 (see
wherein the frequencies typically are small than 1 Hz, assuming a pulse width TS of 500 ms for example. The functional block “slow” 30 calculates a switching signal SC as an outpatient as follows:
wherein SS is a measure for the change of the measuring signal x over a longer time period, which for example is longer than 2·TS (i.e., double the pulse width TS) and thus typically amounts to seconds, and wherein SSN is a measure for the noise of the measuring signal x. Both SSN and SS are determined using the average filters of the already described type. The transfer function of the average filter was explained in connection with the description of the filter unit 10 of
SS is obtained with the further average filters 35 and 38 (
It has been shown that the damping factors β5 and β6 should especially have the following values:
For β5 in the range of 0.01 to 0.0001 (τ˜100 ms to 10 s), especially 0.001 (τ˜1 s) as a typical value; and for β6 in the range of 0.1 to 0.0001 (τ˜100 ms to 10 s), especially 0.001 (τ˜1 s) as a typical value.
The signal calculated in the just described manner is substantially a measure for the sum of the change of the measuring signal x and the noise of the measuring signal x. With a high pass filter 31 and a further average filter 33, the independent signal SSN is now calculated from (slow) changes of the measuring signal x. This is thus a measure for the noise of the measuring signal x, and by comparison with the signal SS, one obtains the desired switching signal SC according to the conditions indicated above.
It has been shown that the damping factors β4 for example should lie in a range of 0.005 to 0.0005 (τ˜200 ms to 20 s), in particular should be equal to 0.0005 (τ˜2 s).
The output signal of the average filter 33 is connected for scaling to a multiplier unit 34, whose second input is acted on with a scaling factor CS for producing the output signal SSN. It has been shown that the scaling factor CS has a value of 50, for example.
The task of the high pass filter 34 is separating noise and slow changes in the measuring signal x. Assuming that the noise of the measuring signal is normally distributed over the assessable frequency range of 0-1 kHz (with a typical sampling interval ΔT of 1 ms), a high pass filter 34 in accordance with the following configuration has proven to be suitable:
Filter type: high pass filter
design method: elliptical
sampling frequency: 1 kHz
cutoff frequency in pass band: 400 Hz
oscillations in pass band range: 3 dB
cutoff frequency in stop range: 250 Hz
damping in stop range: 73 dB
Under these conditions, a fourth-order high pass filter is provided, which can be implemented problem-free, can be designed and implemented with acceptable expense.
It is conceivable that this abrupt switching is not tolerated by all of the subsequent controllers in the control unit 5 (
In the following, the function of the transition unit 51 is explained: the two additional parameters Fin and Fout define two timespans, which are used in switching of the damping factor of α1 to α2 or vice versa, wherein depending on the transition direction either the timespan Fin or the timespan Fout is definitive: If the switch has to be made from α2 to α1 (thus a pressure change occurs), the timespan Fin is used during which a soft transition from α2 to α1 is carried out. In the reverse direction thus when stable pressure conditions again dominate after a pressure change the switch must be from α1 to α2. This happens according to this embodiment likewise no longer abruptly, but within the timespan defined by Fout. Again a “softer” transition from α1 to α2 occurs.
It has been shown that for the two timespans Fin or Fout, for example, the following values are suitable:
For the timespan Fin in the range of 0 to 100 ms, especially 10 ms as a typical value; and for the timespan Fout in the range of 0 to 10 s, especially 1 s is a typical value.
Number | Date | Country | Kind |
---|---|---|---|
PCT/EP2015/060263 | May 2015 | EP | regional |
Filing Document | Filing Date | Country | Kind |
---|---|---|---|
PCT/EP2016/052810 | 2/10/2016 | WO | 00 |