Title of Invention

ADAPTIVE GAIN SCHEDULED CONTROL FOR CURRENT LIMITATION BASED ON VOLTAGE PERFORMANCE OF A FUEL CELL SYSTEM

Abstract A system and method for limiting the output current of a fuel cell stack as the stack degrades over time. A look-up table identifies a predetermined voltage set-point for stack current density. A first comparator provides a voltage difference signal between the set-point and the stack voltage. The voltage difference signal is provided to a controller, such as a proportional-integral controller, that provides a current limiting signal. The current limiting signal and a current request signal are provided to a second comparator that selects which signal will be used to limit the maximum output current of the stack. A polarization curve estimator estimates parameters of the stack that will change over the life of the stack. The parameters are provided to a gain scheduler that provides gains to the controller that are based on where in the life of the stack it is currently operating.
Full Text ADAPTIVE GAIN SCHEDULED CONTROL FOR CURRENT LIMITATION
BASED ON VOLTAGE PERFORMANCE OF A FUEL CELL SYSTEM
BACKGROUND OF THE INVENTION
1. Field of the Invention
[0001] This invention relates generally to an algorithm for limiting
the output current from a fuel cell stack and, more particularly, to an algorithm for
limiting the output current from a fuel cell stack based on various parameters,
such as stack performance, stack life, etc.
2. Discussion of the Related Art
[0002] 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 in the anode to generate free
hydrogen protons and electrons. The hydrogen protons pass through the
electrolyte to the cathode. The hydrogen protons react with the oxygen and the
electrons in the cathode 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.
[0003] 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.
[0004] Several fuel cells are typically combined in a fuel cell stack
to generate the desired power. The fuel cell stack receives a cathode input gas,

P000808-FCA-CHE
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.
[0005] The stack controller needs to know the current/voltage
relationship, referred to as a polarization curve, of the fuel cell stack to provide a
proper distribution of power from the stack. The relationship between the voltage
and the current of the stack is typically difficult to define because it is non-linear,
and changes depending on many variables, including stack temperature, stack
partial pressures and cathode and anode stoichiometries. Additionally the
relationship between the stack current and voltage changes as the stack
degrades over time. Particularly, an older stack will have lower cell voltages, and
will need to provide more current to meet the power demands than a new, non-
degraded stack.
[0006] Fortunately, many fuel cell systems, once they are above a
certain temperature, tend to have repeatable operating conditions at a given
current density. In those instances, the voltage can be approximately described
as a function of stack current density and age.
SUMMARY OF THE INVENTION
[0007] In accordance with the teachings of the present invention, a
system and method are disclosed for limiting the output current of a fuel cell
stack as the stack degrades and its performance decreases over time. The fuel
cell stack provides a voltage output signal and a current density output signal,
where the current density output signal is provided to a look-up table that
identifies a predetermined voltage set-point for the particular current density.
The voltage set-point is sent to a first comparator that compares it to the voltage
output signal from the stack to generate a voltage difference signal. The voltage
difference signal is provided to a controller, such as a proportional-integral
controller, that provides a current limiting signal based on the voltage difference
signal. The current limiting signal and a current request signal are provided to a

second comparator that selects the lesser of the two, which is used to limit the
maximum output current of the stack. The output voltage signal and the output
current signal from the stack are also provided to a polarization curve estimator
that estimates parameters of the stack to define a polarization curve of the stack
that will change over the life of the stack. The parameters from the estimator are
provided to a gain scheduler that provides gains to the controller that are based
on where in the life of the stack it is currently operating.
[0008] Additional features of the present invention will become
apparent from the following description and appended claims, taken in
conjunction with the accompanying drawings.
BRIEF DESCRIPTION OF THE DRAWINGS
[0009] Figure 1 is a graph with time on the horizontal axis and
power on the vertical axis showing a maximum output power from a fuel cell
stack as the stack degrades over time; and
[0010] Figure 2 is a block diagram of a fuel cell system that
employs a process for limiting stack output power based on stack performance,
according to an embodiment of the present invention.
DETAILED DESCRIPTION OF THE EMBODIMENTS
[0011] The following discussion of the embodiments of the
invention directed to a system and method for limiting fuel cell stack output
current as the stack degrades over time is merely exemplary in nature, and is in
no way intended to limit the invention or its applications or uses.
[0012] The present invention proposes an algorithm for limiting the
output current from a fuel cell stack based on stack performance, such as voltage
degradation, or other external factors, such as the anode inlet pressure being too
low. One purpose of the limitation algorithm is to maintain the fuel cell system in
operation even if the stack cannot provide full performance and to be able to
draw enough current from the stack to run the vehicle or charge the battery. As
will be discussed in detail below, the algorithm is designed to limit the current
output from the stack based on stack voltage performance.

[0013] Figure 1 is a graph with time on the horizontal axis and
power on the vertical axis to show how the output power of a fuel cell stack
typically degrades over time. The graph is separated into three sections,
particularly a beginning of stack life section 10, a middle of stack life section 12
and an end of stack life section 14 over the life of the fuel cell stack. Graph line
16 shows how the output power of the stack is reduced over time as a result of
stack degradation. Although the graph line 16 is linear, the actual degradation of
the fuel cell stack may be better represented by a curve.
[0014] Figure 2 is a block diagram of a fuel cell system 20 that
uses an algorithm for limiting the output current of a fuel cell stack 22 based on
stack performance over time, according to an embodiment of the present
invention. A stack output voltage signal V is provided on line 24 from the stack
22 and a stack output current density signal j is provided on line 26 from the
stack 22. The stack output current signal j is provided to a look-up table 28 that
identifies a voltage set-point Vsp for the current density of the stack 22. The
voltage set-point Vsp values stored in the look-up table 28 are predetermined
values that are selected for the stack performance requirements discussed
herein. In once embodiment, the voltage set-point Vsp is higher at lower current
densities and lower at higher current densities for increased flexibility and
improved response. The voltage set-point Vsp from the look-up table 28 is sent to
a comparator 30 along with the voltage output signal V from the stack 22 to
generate a voltage difference signal as the difference therebetween.
[0015] The voltage difference signal is sent to a controller 32 that
controls the current output of the stack 22 to limit the output power as the stack
22 ages. In one non-limiting embodiment, the controller 32 is a proportional-
integral (PI) controller. However, as will be appreciated by those skilled in the
art, other types of controllers, such as PID, PD, LQR, etc. controllers, can also be
employed within the scope of the present invention. The stack current control by
the controller 32 is activated when the voltage output signal V from the stack 22
is less than the voltage set-point Vsp. In this situation, the controller 32 tries to
maintain the stack voltage V at the set-point Vsp by reducing the current provided
by the stack 22. Thus, the controller 32 tries to keep the stack voltage V at the

P000808-FCA-CHE
set-point Vsp only if the voltage V is below the set-point Vsp. If the voltage V is
above the set-point Vsp then the controller 32 does not need to act.
[0016] The proportional part of the controller 32 is designed so that
it is active only when the voltage difference signal is negative. The proportional
gains for the PI controller 32 are scheduled based on the voltage set-point Vsp
and the life of the stack 22. The integral part of the PI controller 32 is designed
so that the controller 32 is enabled/disabled with stall and reset controls on the
integrator. The stall control is enabled only if the voltage difference signal is less
than a certain threshold, such as 10 volts. The controller output is reset by the
reset control if the voltage difference signal goes below another threshold, such
as 70 volts. The values of the stall and reset thresholds are selected so that the
reset threshold is higher than the stall threshold to allow the integrator to have
some memory of the performance of the stack 22 so that if an immediate
transient causes the stack voltage V to drop below the voltage set-point Vsp, the
controller 32 responds faster. The integrator gains are scheduled based on the
voltage set-point Vsp and the life of the stack 22.
[0017] The output of the controller 32 is a current limit value lLim
that limits the current density output of the stack 22. When a request for power
Preq is made to a stack current controller 34 on line 36, the controller 34 converts
the power request singal Preqto a current request signal lreq. The current request
lreq is sent to a comparator 38 that compares the current request signal lreq to the
current limit value l|im, and outputs the lesser of the two to the stack 22 so that
the current density output of the stack 22 is limited based on the voltage set-point
Vsp or is limited based on the current request signal lreq.
[0018] The gains Kp and Kl of the PI controller 32 are set by an
adaptive gain scheduler 40. The gains Kp and Kj are adapted based on a
polarization curve estimation algorithm provided by a polarization curve estimator
42. The estimator 42 receives the voltage output signal V and the current density
output signal j from the stack 22 and generates estimates of the stack
parameters. As the stack 22 degrades with life, the parameters vary, which
reduces the maximum power available from the stack 22. In this non-limiting
example, each of the sections 10,12 and 14 in the graph shown in figure 1 has a

P000808-FCA-CHE
particular gain Kpand Kj associated therewith. Therefore, when the adaptive gain
scheduler 40 determines that the stack 22 has entered a new section as it ages,
the polarization curve parameters are used to change the gain for the particular
section.
[0019] Many control parameters of a fuel cell system require
knowledge of the polarization curve of the fuel cell stack, such as knowing the
maximum voltage potential and current draw available from the fuel cell stack.
As mentioned above, as the stack ages, the stack polarization curve also
changes as a result of stack degradation. U.S. Patent Application serial No.
11/669,898, filed January 31, 2007, titled Algorithm for Online Adaptive
Polarization Curve Estimation of a Fuel Cell Stack, assigned to the Assignee of
this Application and herein incorporated by reference, discloses an algorithm for
calculating the polarization curve of a fuel cell stack online as the fuel cell system
is being operated. The algorithm of the '898 application estimates two or more
stack parameters from collected data as the stack is being operated, and uses
the parameters to calculate the polarization curve. When the fuel cell stack is
running and certain data validity criteria have been met, the algorithm goes into a
good collection mode where it collects stack data, such as stack current density,
average cell voltage and minimum cell voltage. When the stack is shut down, the
algorithm uses a cell voltage model to solve a non-linear least squares problem
to estimate predetermined parameters that define the polarization curve. If the
estimating parameters satisfy certain termination criteria, then the estimated
parameters are stored to be used by a system controller to calculate the
polarization curve of the stack for future stack runs. The polarization curve
estimator 42 can use the polarization curve estimation process in the '898
application, or any other suitable algorithm.
[0020] In one non-limiting embodiment, the controller gains are
modified so that they respond faster and harsher at the end of life section 14 than
in the beginning of life section 10 to avoid system shut-downs due to low stack
voltage at the expense of oscillations. During the beginning of life of the stack
22, the controller gains are relaxed to allow the stack 22 to recover normally
during transients and to avoid any unnecessary limitations and oscillations.

P000808-FCA-CHE
[0021] The foregoing discussion 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.

8
P000808-FCA-CHE
CLAIMS
What is Claimed is:
1. A fuel cell system comprising:
a fuel cell stack providing an output voltage signal and an output
current signal;
a conversion table for converting the output current signal from the
stack to a voltage set-point signal;
a first comparator responsive to the voltage set-point signal and the
voltage output signal from the fuel cell stack, and providing a voltage difference
signal therebetween;
a current limiting controller responsive to the voltage difference
signal and a control signal, said current limiting controller providing a current
limiting signal; and
a second comparator responsive to the current limiting signal and a
current request signal, said second comparator selecting the lesser of the current
limiting signal and the current request signal and providing the lesser current
signal to the fuel cell stack as a maximum current signal that defines the
maximum current available from the stack.
2. The system according to claim 1 further comprising a polarization
curve estimator responsive to the output voltage signal and the output current
signal from the fuel cell stack, said polarization curve estimator providing system
parameters that set the control signal for the controller.
3. The system according to claim 2 wherein the current limiting
controller is a proportional-integral controller and the control signal includes a
proportional gain and an integral gain.
4. The system according to claim 3 wherein the proportional and
integral gains are set based on which region of life the stack is currently
operating.

5. The system according to claim 3 wherein the proportional part of
the proportional-integral controller is active only when the voltage difference
signal is negative.
6. The system according to claim 3 wherein the integral part of the
proportional-integral controller is enabled and disabled with stall and reset
controls, where the stall control is enabled only if the voltage difference signal is
less than a predetermined threshold and the reset control resets the controller if
the voltage difference signal is less than a second threshold.
7. The system according to claim 6 wherein the first threshold is less
than the second threshold.
8. The system according to claim 1 further comprising a stack current
controller responsive to a stack power request signal, said stack current
controller providing the current request signal.
9. The system according to claim 1 wherein the voltage set-point
signal decreases as the current density output signal increases.
10. A fuel cell system comprising:
a fuel cell stack providing an output voltage signal and an output
current signal;
a conversion table for converting the output current signal from the
stack to a voltage set-point signal;
a first comparator responsive to the voltage set-point signal and the
voltage output signal from the fuel cell stack, and providing a voltage difference
signal therebetween;
a proportional-integral controller responsive to the voltage
difference signal and proportional and integral adaptive gains, said proportional-
integral controller providing a current limiting signal;

a polarization curve estimator responsive to the output voltage
signal and the output current signal from the fuel cell stack, said polarization
curve estimator providing system parameters that define the proportional gain
and the integral gain;
a stack current controller responsive to a stack power request
signal, said stack current controller providing a current request signal; and
a second comparator responsive to the current limiting signal and
the current request signal, said second comparator selecting the lesser of the
current limiting signal and the current request signal and providing the lesser
current signal to the fuel cell stack as a maximum current signal that defines the
maximum current available from the stack.
11. The system according to claim 10 wherein the proportional and
integral gains are set based on which region of life the stack is currently
operating.
12. The system according to claim 10 wherein the proportional part of
the proportional-integral controller is active only when the voltage difference
signal is negative.
13. The system according to claim 10 wherein the integral part of the
proportional-integral controller is enabled and disabled with stall and reset
controls, where the stall control is enabled only if the voltage difference signal is
less than a predetermined threshold and the reset control resets the controller if
the voltage difference signal is less than a second threshold.
14. The system according to claim 13 wherein the first threshold is less
than the second threshold.
15. The system according to claim 10 wherein the voltage set-point
signal decreases as the current density output signal increases.

16. A method for limiting the output current from a fuel cell stack, said
method comprising:
converting an output current signal from the fuel cell stack to a
voltage set-point signal;
providing a voltage difference signal between the voltage set-point
signal and an output voltage signal from the fuel cell stack;
providing a current limiting signal based on the voltage difference
signal and a control signal;
selecting the lesser of the current limiting signal and a current
request signal; and
providing the lesser current signal to the fuel cell stack as a
maximum current signal that defines the maximum current available from the
stack.
17. The method according to claim 16 further comprising estimating
system parameters based on a polarization curve calculated from the stack
output voltage signal and the stack output current signal that set the control
signal for the controller.
18. The method according to claim 17 wherein providing a current
limiting signal includes using a proportional-integral controller and wherein the
control signal includes a proportional gain and an integral gain.
19. The method according to claim 18 wherein the proportional and
integral gains are set based on which region of life the stack is currently
operating.
20. The method according to claim 18 wherein the proportional part of
the proportional-integral controller is active only when the voltage difference
signal is negative.

21. The method according to claim 18 wherein the integral part of the
proportional-integral controller is enabled and disabled with stall and reset
controls, where the stall control is enabled only if the voltage difference signal is
less than a predetermined threshold and the reset control resets the controller if
the voltage difference signal is less than a second threshold.
22. The method according to claim 16 wherein the voltage set-point
signal decreases as the current density output signal increases.

A system and method for limiting the output current of a fuel cell stack as
the stack degrades over time. A look-up table identifies a predetermined voltage
set-point for stack current density. A first comparator provides a voltage
difference signal between the set-point and the stack voltage. The voltage
difference signal is provided to a controller, such as a proportional-integral
controller, that provides a current limiting signal. The current limiting signal and a
current request signal are provided to a second comparator that selects which
signal will be used to limit the maximum output current of the stack. A
polarization curve estimator estimates parameters of the stack that will change
over the life of the stack. The parameters are provided to a gain scheduler that
provides gains to the controller that are based on where in the life of the stack it
is currently operating.

Documents:

153-KOL-2009-(01-07-2014)-ANNEXURE TO FORM 3.pdf

153-KOL-2009-(01-07-2014)-CORRESPONDENCE.pdf

153-KOL-2009-(01-07-2014)-OTHERS.pdf

153-KOL-2009-(08-07-2014)-ABSTRACT.pdf

153-KOL-2009-(08-07-2014)-CLAIMS.pdf

153-KOL-2009-(08-07-2014)-CORRESPONDENCE.pdf

153-KOL-2009-(08-07-2014)-DESCRIPTION (COMPLETE).pdf

153-KOL-2009-(08-07-2014)-DRAWINGS.pdf

153-KOL-2009-(08-07-2014)-FORM-1.pdf

153-KOL-2009-(08-07-2014)-FORM-2.pdf

153-KOL-2009-(08-07-2014)-FORM-3.pdf

153-KOL-2009-(08-07-2014)-FORM-5.pdf

153-KOL-2009-(08-07-2014)-OTHERS.pdf

153-KOL-2009-(08-07-2014)-PETITION UNDER RULE 137.pdf

153-kol-2009-abstract.pdf

153-KOL-2009-ASSIGNMENT.pdf

153-kol-2009-claims.pdf

153-KOL-2009-CORRESPONDENCE-1.1.pdf

153-KOL-2009-CORRESPONDENCE-1.2.pdf

153-KOL-2009-CORRESPONDENCE-1.3.pdf

153-kol-2009-correspondence.pdf

153-kol-2009-description (complete).pdf

153-kol-2009-drawings.pdf

153-kol-2009-form 1.pdf

153-kol-2009-form 18.pdf

153-kol-2009-form 2.pdf

153-kol-2009-form 3.pdf

153-kol-2009-form 5.pdf

153-kol-2009-gpa.pdf

153-KOL-2009-OTHERS.pdf

153-kol-2009-specification.pdf

153-KOL-2009-TRANSLATED COPY OF PRIORITY DOCUMENT.pdf

abstract_153-kol-2009.jpg


Patent Number 265024
Indian Patent Application Number 153/KOL/2009
PG Journal Number 06/2015
Publication Date 06-Feb-2015
Grant Date 02-Feb-2015
Date of Filing 28-Jan-2009
Name of Patentee GM GLOBAL TECHNOLOGY OPERATIONS, INC.
Applicant Address 300 GM RENAISSANCE CENTER DETROIT, MICHIGAN
Inventors:
# Inventor's Name Inventor's Address
1 DAVID A. ARTHUR 24 SIBLEY ROAD HONEOYE FALLS, NEW YOLRK 14472
2 SRIRAM GANAPATHY 128 GREYSTONE LANE, APT, 13 ROCHESTER, NY 14618
3 MANISH SINHA 44 BROMLEY ROAD PITTSFORD, NEW YORK 14534
4 JOHN P. SALVADOR 42 HILLCREST DRIVE PENFIELD, NEW YORK 14526
5 DAVID R. SAVAGE 179 WHEELOCK ROAD PENFIELD, NY 14526
6 FRANK X LEO 209 SCOFIELD ROAD HONEOYE FALLS, NEW YORK 14472
PCT International Classification Number H01M 8/04
PCT International Application Number N/A
PCT International Filing date
PCT Conventions:
# PCT Application Number Date of Convention Priority Country
1 12/027,049 2008-02-06 U.S.A.