# US 11,079,363 B2 · Systems and methods for evaluating toxic gas sensors using electrochemical impedance spectroscopy

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- Number: US 11,079,363 B2
- Document ID: US11079363B2
- Status: Granted
- Kind: B2
- Application number: 15/791,557
- Filed: 2017-10-24
- Published: 2019-02-07
- Granted: 2021-08-03
- Earliest claimed: 2017-08-03
- Assignees: Industrial Scientific Corporation
- Applicants: Industrial Scientific Corporation
- Inventors: Jonathan Eric Dinsmore
- Web page: https://patentgrep.com/patent/US11079363B2

## CPC

- G01N 33/0006: {Calibrating gas analysers}
- G01N 27/026: {Dielectric impedance spectroscopy (electrochemical impedance spectroscopy for measuring corrosion G01N17/02)}
- G01N 27/404: Cells with anode, cathode and cell electrolyte on the same side of a permeable membrane which separates them from the sample fluid {, e.g. Clark-type oxygen sensors}
- G01N 27/4163: {checking the operation of, or calibrating, the measuring apparatus (G01N27/3274, G01N27/4175 and G01N33/0006 take precedence)}
- G01N 33/007: {Arrangements to check the analyser (calibrating gas analysers G01N33/0006)}
- G01N: INVESTIGATING OR ANALYSING MATERIALS BY DETERMINING THEIR CHEMICAL OR PHYSICAL PROPERTIES (measuring or testing apparatus or processes other than immunoassay, involving enzymes or microorganisms C12M, C12Q)

## Abstract

The systems and methods of this disclosure enable evaluation, verification, and testing of toxic gas sensors without the need for a target gas cylinder. The systems and methods for testing toxic gas sensors over a broad range of frequencies facilitates evaluation and diagnosis of mechanisms underlying sensor performance. The systems and methods of this disclosure may be incorporated into portable gas sensing equipment for in field diagnostics.

## Claims

### Claim 1

A system for evaluating a toxic gas electrochemical sensor, the system comprising:
a potentiostat circuit electrically connected to the toxic gas electrochemical sensor;
a voltage waveform generator connected to the potentiostat circuit and enabled to apply a voltage sine wave at a plurality of selected frequencies to a reference electrode of the toxic gas electrochemical sensor;
a current measurement circuit electrically connected to the toxic gas electrochemical sensor for measuring an amplitude and a phase of a current through the toxic gas electrochemical sensor in response to the applied voltage sine wave; and
a microcontroller electrically connected to the voltage waveform generator and the current measurement circuit, wherein the microcontroller controls the voltage waveform generator, receives a corresponding output from the current measurement circuit indicative of the amplitude and the phase of the current through the toxic gas electrochemical sensor at each of the plurality of selected frequencies, and analyzes the outputs from the current measurement circuit to determine information about a response time of the toxic gas electrochemical sensor, wherein analyzing the outputs comprises calculating a real impedance and an imaginary impedance corresponding to a current measurement at each of the plurality of selected frequencies resulting in calculated real impedances and calculated imaginary impedances and comparing a Nyquist plot of the calculated real impedances and the calculated imaginary impedances with a corresponding reference Nyquist plot of reference real impedances and reference imaginary impedances.

### Claim 2 (depends on 1)

The system of claim 1, wherein an amplitude of the applied voltage sine wave is within a range of 5 mV to 50 mV.

### Claim 3 (depends on 1)

The system of claim 1, wherein an amplitude of the applied voltage sine wave is within a range in which the toxic gas electrochemical sensor responds in a linear manner.

### Claim 4 (depends on 1)

The system of claim 1, wherein the plurality of selected frequencies is within a frequency range of 0.1 Hz to 1 MHz.

### Claim 5 (depends on 4)

The system of claim 4, wherein the plurality of selected frequencies includes at least some sequential frequencies that are spaced in unequal increments from each other.

### Claim 6 (depends on 1)

The system of claim 1, wherein the reference real impedances and the reference imaginary impedances are obtained by measuring a newly calibrated toxic gas sensor over a frequency range.

### Claim 7 (depends on 1)

The system of claim 1, wherein analyzing the outputs further comprises evaluating differences in a location of one or more features of the Nyquist plot of calculated impedances with a location of corresponding one or more features of the corresponding reference Nyquist plot of reference impedances, wherein the corresponding one or more features include at least one of a diameter of a semi-circle or a slope of a linear portion.

### Claim 8 (depends on 1)

The system of claim 1, wherein if a change in the response time of the toxic gas electrochemical sensor is greater than a predetermined amount, then the microcontroller performs at least one of: updating a calibration for the toxic gas electrochemical sensor, updating a calibration for a piece of equipment associated with the toxic gas electrochemical sensor, disabling a piece of equipment associated with the toxic gas electrochemical sensor, or alerting a user.

### Claim 9 (depends on 1)

The system of claim 1, wherein the toxic gas electrochemical sensor is one of a carbon monoxide sensor, an ammonia electrochemical sensor, a hydrogen sulfide sensor, and an oxygen sensor.

### Claim 10 (depends on 1)

The system of claim 1, wherein the toxic gas electrochemical sensor is a three electrode sensor having the reference electrode, a working electrode, and a counter electrode.

### Claim 11 (depends on 10)

The system of claim 10, wherein the current measurement circuit is connected to the working electrode or the counter electrode.

### Claim 12 (depends on 1)

The system of claim 1, wherein the toxic gas electrochemical sensor includes either two or four electrode terminals.

### Claim 13 (depends on 1)

The system of claim 1, wherein the toxic gas electrochemical sensor is a two electrode terminal sensor including a working electrode and the reference electrode, wherein the reference electrode is a combination counter/reference electrode.

### Claim 14 (depends on 1)

The system of claim 1, wherein the toxic gas electrochemical sensor is a four electrode sensor able to detect at least two different detectable gases, wherein the four electrode sensor comprises the reference electrode, a counter electrode, and at least two working electrodes, wherein each of the at least two working electrodes corresponds to a respective one of the at least two different detectable gases.

### Claim 15 (depends on 14)

The system of claim 14, wherein the current measurement circuit comprises at least two current measurement circuits, wherein each of the at least two current measurement circuits measures current at a respective one of the at least two working electrodes.

### Claim 16 (depends on 1)

The system of claim 1, wherein the microcontroller analyzes the outputs from the current measurement circuit to determine information regarding a change in a bulk electrolyte resistance of the toxic gas electrochemical sensor, a change in a freedom of diffusion of ions within the toxic gas electrochemical sensor or a change in an effective polarization impedance of an electrode/electrolyte interface.

### Claim 17 (depends on 1)

The system of claim 1, wherein information about the toxic gas electrochemical sensor comprises information regarding a change in the response time of the toxic gas electrochemical sensor.

### Claim 18 (depends on 1)

The system of claim 1, wherein the microcontroller analyzes the outputs from the current measurement circuit to determine information about a rate of change of the response time of the toxic gas electrochemical sensor.

### Claim 19

A method for evaluating a toxic gas sensor using electrochemical impedance spectroscopy, comprising:
applying a current or a voltage sine wave at a plurality of selected frequencies to a reference electrode of the toxic gas sensor;
measuring a voltage or a current response of the toxic gas sensor corresponding to each of the plurality of selected frequencies; and
analyzing the measured voltage response or the measured current response over the plurality of selected frequencies to determine information about a response time of the toxic gas sensor, wherein analyzing the measured voltage response or the measured current response comprises calculating a real impedance and an imaginary impedance corresponding to a current or a voltage measurement at each of the plurality of selected frequencies resulting in calculated real impedances and calculated imaginary impedances, and comparing a Nyquist plot of the calculated real impedances and the calculated imaginary impedances with a corresponding reference Nyquist plot of reference real impedances and reference imaginary impedances.

### Claim 20 (depends on 19)

The method of claim 19, wherein information about the response time of the toxic gas electrochemical sensor comprises information regarding a change in the response time of the toxic gas electrochemical sensor.

### Claim 21 (depends on 19)

The method of claim 19, wherein analyzing the measured voltage response or the measured current response further comprises evaluating differences in a location of one or more features of the Nyquist plot of calculated impedances with a location of corresponding one or more features of the corresponding reference Nyquist plot of reference impedances, wherein the corresponding one or more features include at least one of a diameter of a semi-circle or a slope of a linear portion.

### Claim 22

A system for evaluating a toxic gas electrochemical sensor, comprising:
a galvanostat circuit electrically connected to the toxic gas electrochemical sensor;
a current waveform generator connected to the galvanostat circuit and enabled to apply a current sine wave at a plurality of selected frequencies to a reference electrode of the toxic gas electrochemical sensor;
a voltage measurement circuit electrically connected to the toxic gas electrochemical sensor for measuring an amplitude and a phase of a voltage across the toxic gas electrochemical sensor in response to the applied current sine wave; and
a microcontroller electrically connected to the current waveform generator and the voltage measurement circuit, wherein the microcontroller controls the current waveform generator, receives a corresponding output from the voltage measurement circuit indicative of the amplitude and phase of the voltage across the toxic gas electrochemical sensor at each of the plurality of selected frequencies, and analyzes the outputs to determine information about a response time of the toxic gas electrochemical sensor, wherein analyzing the outputs comprises calculating a real impedance and an imaginary impedance corresponding to a voltage measurement at each of the plurality of selected frequencies resulting in calculated real impedances and calculated imaginary impedances and comparing a Nyquist plot of the calculated real impedances and the calculated imaginary impedances with a corresponding reference Nyquist plot of reference real impedances and reference imaginary impedances.

### Claim 23 (depends on 22)

The system of claim 22, wherein an amplitude of the applied current sine wave is within a range of 1 nA to 1 mA.

### Claim 24 (depends on 22)

The system of claim 22, wherein the plurality of selected frequencies is within a frequency range of 0.1 Hz to 1 MHz.

### Claim 25 (depends on 22)

The system of claim 22, wherein the microcontroller analyzes the outputs from the voltage measurement circuit to determine information regarding a change in a bulk electrolyte resistance of the toxic gas electrochemical sensor or a change in a freedom of diffusion of ions within the toxic gas electrochemical sensor.

### Claim 26 (depends on 22)

The system of claim 22, wherein information about the response time of the toxic gas electrochemical sensor comprises information regarding a change in the response time of the toxic gas electrochemical sensor.

### Claim 27 (depends on 26)

The system of claim 26, wherein if the change in the response time of the toxic gas electrochemical sensor is greater than a predetermined amount, then the microcontroller performs at least one of: updating a calibration for the toxic gas electrochemical sensor, updating a calibration for a piece of equipment associated with the toxic gas electrochemical sensor, disabling a piece of equipment associated with the toxic gas electrochemical sensor, or alerting a user.

### Claim 28 (depends on 22)

The system of claim 22, wherein analyzing the outputs further comprises evaluating differences in a location of one or more features of the Nyquist plot of calculated impedances with a location of corresponding one or more features of the corresponding reference Nyquist plot of reference impedances, wherein the corresponding one or more features include at least one of a diameter of a semi-circle or a slope of a linear portion.
