# US 8,542,026 B2 · Apparatus for estimating fuel-cell hydrogen concentration and fuel cell system > Agents: this data is available as JSON from the patentgrep API and MCP server — see https://patentgrep.com/llms.txt - Number: US 8,542,026 B2 - Document ID: US8542026B2 - Status: Granted - Kind: B2 - Application number: 13/061,615 - Filed: 2009-05-08 - Published: 2012-02-16 - Granted: 2013-09-24 - Earliest claimed: 2009-05-08 - Assignees: Toyota Jidosha Kabushiki Kaisha - Applicants: Kotaro Ikeda; Toshiaki Kusakari; Hideaki Kume; Yoshihiro Ikogi; Noriyuki Kobayashi; Hikaru Hasegawa - Inventors: Kotaro Ikeda; Toshiaki Kusakari; Hideaki Kume; Yoshihiro Ikogi; Noriyuki Kobayashi; Hikaru Hasegawa - Web page: https://patentgrep.com/patent/US8542026B2 ## CPC - H01M 8/04447: {of anode reactants at the inlet or inside the fuel cell} - H01M 8/04559: {of fuel cell stacks} - H01M 8/04589: {of fuel cell stacks} - H01M 8/04641: {of the individual fuel cell} - H01M 8/04649: {of fuel cell stacks} - H01M 8/04992: characterised by the implementation of mathematical or computational algorithms, e.g. feedback control loops, fuzzy logic, neural networks or artificial intelligence - Y02E 60/50: Fuel cells - H01M: PROCESSES OR MEANS, e.g. BATTERIES, FOR THE DIRECT CONVERSION OF CHEMICAL ENERGY INTO ELECTRICAL ENERGY - Y02E: REDUCTION OF GREENHOUSE GAS [GHG] EMISSIONS, RELATED TO ENERGY GENERATION, TRANSMISSION OR DISTRIBUTION ## Abstract A fuel cell system includes a fuel cell, an impedance measuring instrument, and a control device. The control device is connected to the impedance measuring instrument. The impedance measuring instrument measures the impedance of the fuel cell according to the AC impedance method. The control device stores in advance a reference value corresponding to a reference hydrogen concentration. The control device compares the real part Z′ of impedance acquired via the impedance measuring instrument against the reference value. When Z′ is equal to or greater than the reference value, the control device estimates the hydrogen concentration of the fuel cell to be equal to or less than the reference hydrogen concentration. ## Claims ### Claim 1 A hydrogen concentration estimating apparatus for a fuel cell that includes an anode and a cathode and generates electric power by the anode receiving hydrogen and the cathode receiving oxygen, the apparatus comprising: measuring means for measuring impedance or admittance of the fuel cell; and estimating means for estimating a hydrogen concentration inside the fuel cell based on a measured value measured by the measuring means such that the hydrogen concentration is estimated to be relatively low when an impedance semicircle of the fuel cell is relatively large. ### Claim 2 (depends on 1) The hydrogen concentration estimating apparatus according to claim 1, further comprising biasing means for applying a bias to the fuel cell during impedance measurement by the measuring means, such that a voltage of the fuel cell becomes less than an OCV (open circuit voltage) of the fuel cell and such that a bias voltage becomes equal to or greater than a given voltage or a bias current becomes equal to or less than a given current. ### Claim 3 (depends on 2) The hydrogen concentration estimating apparatus according to claim 2, further comprising: OCV acquiring means for acquiring the OCV of the fuel cell; and bias correcting means for correcting the bias applied by the biasing means to the fuel cell based on the acquired OCV. ### Claim 4 (depends on 1) The hydrogen concentration estimating apparatus according to claim 1, further comprising: OCV acquiring means for acquiring an OCV of the fuel cell; target bias calculating means for calculating a target bias voltage by subtracting a given value from the acquired OCV; and target bias applying means for applying a bias to the fuel cell based on the target bias voltage during impedance measurement by the measuring means. ### Claim 5 (depends on 1) The hydrogen concentration estimating apparatus according to claim 1, further comprising specific-bias applying means for applying a bias voltage or a bias current to the fuel cell during impedance measurement by the measuring means, the bias voltage or the bias current being of a value that allows an impedance frequency characteristic curve of the fuel cell obtained within a low frequency range to substantially take the form of one semicircle in a complex plane. ### Claim 6 (depends on 5) The hydrogen concentration estimating apparatus according to claim 5, wherein the low frequency range is from 100 Hz to 0.1 Hz. ### Claim 7 (depends on 2) The hydrogen concentration estimating apparatus according to claim 2, wherein the measuring means includes: means for measuring an electric current and a voltage of the fuel cell; means for calculating, based on the measured electric current and voltage, a slope of a particular portion of an I-V curve of the fuel cell, the particular portion being close to an OCV; and means for calculating the I-V tangent resistance based on the calculated slope. ### Claim 8 (depends on 1) The hydrogen concentration estimating apparatus according to claim 1, further comprising means for detecting or estimating a moisture content inside the fuel cell, wherein the estimating means estimates a hydrogen concentration inside the fuel cell based on both of a value measured by the measuring means and the moisture content detected or estimated. ### Claim 9 (depends on 1) The hydrogen concentration estimating apparatus according to claim 1, wherein the fuel cell is a proton exchange membrane fuel cell. ### Claim 10 A hydrogen concentration estimating apparatus for a fuel cell that includes an anode and a cathode and generates electric power by the anode receiving hydrogen and the cathode receiving oxygen, the apparatus comprising: measuring means for measuring I-V tangent resistance of the fuel cell; and estimating means for estimating a hydrogen concentration of the fuel cell based on the measured I-V tangent resistance. ### Claim 11 A hydrogen concentration estimating apparatus for a fuel cell that includes an anode and a cathode and generates electric power by the anode receiving hydrogen and the cathode receiving oxygen, the apparatus comprising: a measuring unit which measures impedance or admittance of the fuel cell; and an estimating unit which estimates a hydrogen concentration inside the fuel cell based on a measured value measured by the measuring unit such that the hydrogen concentration is estimated to be relatively low when an impedance semicircle of the fuel cell is relatively large.