Field of the Invention
This invention relates generally to a system and method for determining the location of an anode leak in a fuel cell system and, more particularly, to a system and method for quantifying an anode leak location, an outflow location of the leak, and an effective area of the leak in a fuel cell system.
Discussion of the Related Art
Hydrogen is a very attractive fuel because it is clean and can be used to efficiently produce electricity in a fuel cell. A hydrogen fuel cell is an electro-chemical device that includes an anode and a cathode with an electrolyte therebetween. The anode receives hydrogen gas and the cathode receives oxygen or air. The hydrogen gas is dissociated at the anode catalyst to generate free protons and electrons. The protons pass through the electrolyte to the cathode. The protons react with the oxygen and the electrons at the cathode catalyst to generate water. The electrons from the anode cannot pass through the electrolyte, and thus are directed through a load to perform work before being sent to the cathode.
Proton exchange membrane fuel cells (PEMFC) are a popular fuel cell for vehicles. The PEMFC generally includes a solid polymer electrolyte proton conducting membrane, such as a perfluorosulfonic acid membrane. The anode and cathode typically include finely divided catalytic particles, usually platinum (Pt), supported on carbon particles and mixed with an ionomer. The catalytic mixture is deposited on opposing sides of the membrane. The combination of the anode catalytic mixture, the cathode catalytic mixture and the membrane define a membrane electrode assembly (MEA). MEAs are relatively expensive to manufacture and require certain conditions for effective operation.
Several fuel cells are typically combined in a fuel cell stack to generate the desired power. For example, a typical fuel cell stack for a vehicle may have two hundred or more stacked fuel cells. The fuel cell stack receives a cathode input gas, typically a flow of air forced through the stack by a compressor. Not all of the oxygen is consumed by the stack and some of the air is output as a cathode exhaust gas that may include water as a stack by-product. The fuel cell stack also receives an anode hydrogen input gas that flows into the anode side of the stack.
A fuel cell stack includes a series of bipolar plates positioned between the several MEAs in the stack, where the bipolar plates and the MEAs are positioned between two end plates. The bipolar plates include an anode side and a cathode side for adjacent fuel cells in the stack. Anode gas flow channels are provided on the anode side of the bipolar plates that allow the anode reactant gas to flow to the respective MEA. Cathode gas flow channels are provided on the cathode side of the bipolar plates that allow the cathode reactant gas to flow to the respective MEA. One end plate includes anode gas flow channels, and the other end plate includes cathode gas flow channels. The bipolar plates and end plates are made of a conductive material, such as stainless steel or a conductive composite. The end plates conduct the electricity generated by the fuel cells out of the stack. The bipolar plates also include flow channels through which a cooling fluid flows.
It is necessary to accurately determine the flow rate through bleed valves, drain valves, and possibly other valves, in the anode sub-system of a fuel cell system to know when to close the particular valve, as is well understood by those skilled in the art. Traditional valve orifice models work fairly well, but are subject to part-to-part variations because the models assume an effective area of the orifice. Further, the orifice model calculation also requires a difference between an inlet and outlet pressure to determine the flow. For certain known systems, this pressure differential is on the same order of magnitude as the error of the pressure sensors, which could lead to large estimation errors.
U.S. Pat. No. 8,387,441, entitled “Injector Flow Measurement for Fuel Cell Applications”, filed Dec. 11, 2009, assigned to the assignee of this application and herein incorporated by reference, discloses a method for determining flow through a valve in a fuel cell system. An anode sub-system pressure is measured just before an injector pulse and just after the injector pulse, and a difference between the pressures is determined. This pressure difference, the volume of the anode sub-system, the ideal gas constant, the anode sub-system temperature, the fuel consumed from the reaction of the fuel cell stack during the injection event and the fuel cross-over through membranes in the fuel cells of the fuel cell stack are used to determine flow through a valve. U.S. Pat. No. 8,701,468, entitled “Flow Estimation Based on Anode Pressure Response in Fuel Cell System”, filed Dec. 17, 2010, assigned to the assignee of this application and herein incorporated by reference, determines the flow of anode gas out of an anode sub-system, and is also capable of determining if there is a leak in the anode sub-system. However, the location of the leak and the effective area of the leak is not known. Thus, there is a need in the art for a way to quantify the anode leak location, the outlet flow location and the effective area of the leak so as to enable targeted remedial actions and adjustments to fuel cell system models.
In accordance with the teachings of the present invention, a system and method are disclosed for quantifying an anode leak location in a fuel cell system that includes determining there is a leak in an anode sub-system of a fuel cell stack and estimating a first effective leak area using a first leak flow value and first operating parameters. The system and method also include increasing airflow to a cathode side of the fuel cell stack and estimating a second leak effective area using a second leak flow value and second operating parameters. The system and method further include comparing the first leak effective area to the second leak effective area and determining an anode outflow leak location based on the comparison between the first and second leak effective areas.
Additional features of the present invention will become apparent from the following description and appended claims, taken in conjunction with the accompanying drawings.
The following discussion of the embodiments of the invention directed to a system and method for quantifying an anode leak location in a fuel cell system is merely exemplary in nature, and is in no way intended to limit the invention or its applications or uses. Particularly, the method discussed herein determines a flow of an anode gas out of the anode sub-system. However, the method will have application for determining the flow out of other closed systems.
The anode side of the fuel cell stack 12 receives hydrogen gas from a hydrogen source 32 on an anode input line 30 through a valve 38 and an anode recirculation gas on anode recirculation line 34 from an anode output of the stack 12 is provided to the valve 38. When a purge or bleed of the gases in the anode side of the stack 12 is desired, anode exhaust gas is bled into the cathode inlet line 14 through a valve 36 that is provided in an anode exhaust line 28. A pressure sensor 42 is provided in a location in the anode sub-system, such as in the anode recirculation line 34, to measure the pressure of the anode side of the stack 12. A controller 44 receives pressure signals from the pressure sensors 24, 26 and 42, and controls various fuel cell stack operations as well as various algorithms, as described in more detail below.
As discussed above, U.S. Pat. No. 8,701,468, incorporated by reference, determines the flow of anode gas out of an anode sub-system, and is also capable of determining if there is a leak in the anode sub-system. Currently, for each function the leak is assumed to be in the worst location for that function. For example, the emissions function assumes that the leak location is anode inlet to cathode outlet. This causes the remedial actions to be more conservative than they may need to be and can cause less efficient operation of the fuel cell system 10.
An algorithm has been developed that is basically an intrusive diagnostic to try to understand where an anode leak in the system 10 is located and to quantify the magnitude of the leak by altering operating conditions, thereby allowing for more accurate modeling of the leak rate and more precise handling of any remedial actions that are based on the leak. Before the algorithm described below, there was no way of modeling an anode leak. Thus, leak detection on a regular or constant basis was needed. However, this is difficult during high power operating conditions because of large errors that are inherent in previously known leak estimation methods. The algorithm allows for the leak location and the leak size to be quantified at conditions where leak detection resolution is high. This enables modeling of the leak in areas where leak detection is not as accurate and to take appropriate remedial actions based on the location of the leak. The algorithm also allows for predictive leak values at various operating conditions as well as improved nitrogen modeling and emissions estimations.
The motivation for detecting the anode leak location is to improve the anode gas concentration estimation by determining the anode leak location. It is also possible to target the appropriate remedial action for the leak. Example remedial actions include increasing compressor flow if the leak is to the cathode outlet where emissions are a concern or increasing the radiator airflow if a leak to ambient is detected. The following assumptions are made when determining the leak location: (1) the algorithm is an active diagnostic that is to be employed when a detected leak is not violating emissions, (2) there is a single leak location, and (3) the leak can be represented by an orifice flow. There are six potential leak paths from the anode to the cathode that may be detected by the algorithm above, which are given by the following table.
The algorithm begins by detecting a leak and calculating a leak flow value that defines a leak rate of the leak at box 52. Leak detection algorithms based on mass balance may be used, as described in U.S. Pat. Nos. 8,387,441 and 8,701,468, incorporated herein by reference. Once a leak has been detected at the box 52, the algorithm stores the leak flow value and other parameters at box 54. The leak flow value that is stored is at nominal operating conditions. For example, typical nominal operating conditions are: anode pressure=130 kPa, cathode inlet pressure=110 kPa, cathode outlet pressure=104 kPa, and ambient pressure=100 kPa with an anode hydrogen concentration of 0.7.
Once the leak flow value and other parameters are stored at the box 54, an effective leak area is estimated at box 56 to match the leak flow value for three different leak locations Aieff_nom, where subscript i denotes three leak location cases, using the following:
Where MwAnOut is the molecular weight of the anode outlet gas, {dot over (n)}Leak is the rate of the leak, PAnIn is the pressure in the anode sub-system, R is the ideal gas constant (8.315 kPa-L/mol-K), TCoolIn is the temperature (K) of the coolant in the stack, C2K is a conversion factor from Celsius to Kelvin, L2 m3 is a conversion factor from liters to cubic meters, k is the ratio of specific heat (approximately 1.4), and for the first leak location i the pressure of the cathode inlet, PCaIn is used. This same equation is used for the cathode outlet leak location in which case PCaIn is substituted for PCaOut (the pressure of the cathode exhaust gas), for the second leak location t. For the third leak location i, PCaOut is substituted for PAmb (pressure of the ambient environment). The system may measure ambient pressure using a pressure sensor (not shown), or may assume ambient pressure. The effective leak area of equation (1) above is used because it is assumed that the leak is similar to an orifice.
The three leak locations are (1) anode inlet to cathode outlet, (2) anode outlet to cathode inlet, and (3) anode to ambient environment. After the effective leak area for each of the three locations i, is estimated at the box 56, the cathode flow is increased to a calibratable value at box 58, where higher air flow is desirable because it increases the ability of the algorithm to discriminate the leak. Once the cathode flow has been increased at the box 58 the algorithm recalculates the leak flow value at the new operating conditions, which include increased cathode flow, and stores the new leak flow value and operating conditions at box 60. Typical new operating conditions are: anode pressure=170 kPa, cathode inlet pressure=150 kPa, cathode outlet pressure=120 kPa, and ambient pressure=100 kPa. After the leak flow at the new operating conditions has been recalculated and stored at the box 60, the three potential downstream leak locations i for an effective leak area Aieff_hiCaFlow are also estimated at the box 60 using equation (1). The three different potential downstream locations are: (1) the cathode outlet line 20, (2) the cathode inlet line 14 and (3) the ambient environment.
Next, each Aieff_nom leak location for i is compared with the corresponding leak location of i for Aieff_hiCaFlow to determine where the cathode leak location is at box 62, where the location that the compared data fits best is considered to be the downstream location of the leak. Exemplary compared data is shown in Table 1, below. For example, when comparing the estimated effective leak areas from the box 56 to the box 60 to determine the anode leak outlet location, the following sample data may apply.
Next, the cathode operating conditions are returned to normal, the anode hydrogen concentration is increased to close to 1, and a new leak flow value and estimated effective leak area Aieff_nom are stored at box 64. The stored leak flow values from the box 54 and the box 62 are used to calculate the three potential leak locations for Aieff_nom and Aieff_nom except now the molecular weight of the anode outlet gas will be closer to the molecular weight of hydrogen, and the anode leak location is determined by comparing the potential leak locations for Aieff_nom and Aieff_nom at box 66. Essentially, if the stored leak flow values from the box 54 and the box 66 are substantially different then the leak is determined to be at the anode outlet. If the stored leak values from the box 54 and the box 66 are not substantially different then it is determined that the leak is at the anode inlet. This comparison to determine the leak location works best if the anode concentration at the box 54 is lower than at the box 66. The leak detection is less reliable at high power where estimation errors may be large. Thus, the controller 44 may repeat the leak detection algorithm using a lower hydrogen concentration for the leak value at the box 54 to improve the leak estimate.
Once the leak location and the effective area of the leak Aieff are determined a model may be used to estimate the leak at various operating conditions during fuel cell stack run time so that the information can feed other models an appropriate leak signal. For example, the effect of the leak on the nitrogen model can be quantified. Remedial actions based on the leak rate can be more specific for the location of interest using the algorithm discussed above. For example, if the leak is to the ambient environment there is no need to increase cathode flow to dilute the anode leak.
As will be well understood by those skilled in the art, the several and various steps and processes discussed herein to describe the invention may be referring to operations performed by a computer, a processor or other electronic calculating device that manipulate and/or transform data using electrical phenomenon. Those computers and electronic devices may employ various volatile and/or non-volatile memories including non-transitory computer-readable medium with an executable program stored thereon including various code or executable instructions able to be performed by the computer or processor, where the memory and/or computer-readable medium may include all forms and types of memory and other computer-readable media.
The foregoing discussion disclosed discloses and describes merely exemplary embodiments of the present invention. One skilled in the art will readily recognize from such discussion and from the accompanying drawings and claims that various changes, modifications and variations can be made therein without departing from the spirit and scope of the invention as defined in the following claims.
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