fuel cells measurement guide
TRANSCRIPT
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Reference Guide to Electrical
Measurement of Fuel Cell TestingFuel Cell Measurement Basics and Tips from Measuring Instrument Experts
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Introduction
In recent years, the increased demand of concern on the environment issues has accelerated the research and
development in the field of Fuel Cell technology.
The Fuel Cell technology has a boundary area in between the side of material/chemical engineering and
electric/electronic engineering on the other side. It is often heard that the methodology used in each specialized field
cannot be applied directly and the objectives of measurements are unclear in the research and development of fuel cells.
This Reference guide offers to make a contribution in response to those who has such opinion as "we are familiar
with the things that we must do to improve the fuel cell characteristics and the research issues, but we are having
difficulties for configuring an environment to perform such research."
We hope that this booklet will contribute a wider knowledge of electrical measurement of Fuel Cell Testing in
helping the reader with better understanding.
The target readers of this booklet are;
1. For Chemical, Electrical and Electrochemical engineers and researchers who evaluate fuel cells those are close to
being commercialization.2. For Electric or electronic engineers who operate and evaluate fuel cells.
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Contents
Introduction i
Chapter 1 Measuring and Testing Fuel Cells 1
1.1 Fuel Cell Test System ..........................................................................................................................................1
1.1.1 Gas Supply System 1
1.1.2 Temperature Control 1
1.1.3 Humidity Control1
1.1.4 Cooling System1
1.1.5 Load System 1
1.2 Fuel Cell Operation..............................................................................................................................................1
Chapter 2 Static Tests (I-V Measurements) 2
2.1 Measuring System Configuration ........................................................................................................................2
2.1.1 Overview of the Electronic Load Unit2
2.1.2 Digital Voltmeter3
2.2 Before Running the Test System..........................................................................................................................3
2.2.1 Connecting to a Power Supply with Sufficient Capacity 3
2.2.2 Ground the System properly3
2.2.3 Isolation from Surrounding Noise Sources4
2.2.4 Load Cables 4
2.3 Fuel Cell Polarization Curve................................................................................................................................5
2.3.1 OCV (Open Circuit Voltage) 5
2.3.2 Internal Resistance (Ohmic Resistance) 6
2.3.3 Limiting the Current value 6
2.3.4 Estimation of Life Time 6
2.4 Notes Concerning the Electric Measurement System..........................................................................................6
2.4.1 Resulting from Load Cables6
2.4.2 Related to Sensing Wires6
2.4.3 Measuring the Current Using a Shunt6
2.5 Conditions of Fuel and Air for I-V Measurements ..............................................................................................7
Chapter 3 Dynamic Test (Impedance Measurement) 7
3.1 Method of Impedance Measurement ...................................................................................................................7
3.2 AC Impedance Method........................................................................................................................................7
3.2.1 Equipment Used for the measurement system8
3.2.2 Notes Concerning the Electric Measurement System 8
3.3 Current Interrupt Method.....................................................................................................................................9
3.3.1 Equipment Used9
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iii
3.3.2 Notes Concerning the Electric Measurement System 9
3.4 Impedance Measurement ...................................................................................................................................10
3.4.1 Impedance Measurement Using the AC Impedance Method 10
3.4.2 Impedance Measurement Using the Current Interrupt Method 11
3.5 Conditions of Fuel and Air for Impedance Measurements ................................................................................11
Acknowledgements 12
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Chapter 1 Measuring andTesting Fuel Cells
Fuel cell test system is typically designed and manu-factured by companies that specialize in the test station
and deliver to the end users. Under the present circum-
stances, the measuring method of system varies depends
on the company. However, the most basic parameters
which are classified in the size of the load current, the
amount of reactive gas supplied, and the control of the
relative humidity and cell temperature.
1.1 Fuel Cell Test System
Fuel cell test system is to exclusively measure the
characteristics or performance of fuel cells. Fuel cell test
system typically consists of the system for a gas supply,temperature control, humidity control, cooling, load, and
the like.
1.1.1 Gas Supply System
The gas supply in fuel cell test system consists of
gas lines and their control units (mass flow meters, sole-
noid valves, etc.). The gas lines in the measurement sys-
tem typically include oxidation gas lines, fuel gas lines,
and measurement system purge gas lines. The oxidant is
typically oxygen or air. The fuel is typically hydrogen
gas, reformed gas, or methanol. Nitrogen gas is typically
used to purge the gas supply system. The gas supply sys-
tem has functions that control the pressure, flow rate, and
utilization rate of the fuel and oxidant.
1.1.2 Temperature Contro l
The temperature control uses thermocouples and
controller modules to control the fuel cell temperature,
gas inlet and outlet temperature, outlet temperature of the
fuel cell coolant, and the like.
1.1.3 Humidi ty Contro l
For PEMFCs, water management is critical to main-
tain the high conductivity of electrolytic membranes.
Therefore, humidification is applied to the electrolytic
membranes. There are various humidification methods
from the popular bubblers in small systems of a labora-
tory scale and application of high-pressure steams in
mid-size to large systems. The humidity control system
is used to control the relative humidity of fuel gas and
oxidation gas and ensures the stable operation of fuel
cells.
1.1.4 Cooling system
The temperature of fuel cells rises during operation
due to the heat generation. Therefore, it is necessary tokeep the temperature down of the fuel cells constantly
during operation. A typical cooling method is the
water-cooled system in which water is circulated through
the system. If the test system is large, a secondary
cooling system may be required.
1.1.5 Load System
Electric energy is generated during fuel cell opera-
tion. Normally, the energy that the fuel cell generates is
consumed using an Electronic load. The performance of
fuel cells is typically tested by varying the amount of
load current.
1.2 Fuel Cell Operation
A fuel cell is a device that generates a type of
chemical energy converted into electric energy. It is a
highly efficient power supply with environmental pollu-
tion free and it can be considered as a generator with fuel
and oxidant as inputs. For an efficient and a stable opera-
tion of fuel cells, it is necessary to control parameters
such as the temperature of the fuel cells under the opera-
tion and the humidity, flow rate, and utilization rate of
reactive gases. When the fuel cell operation is stopped, it
is necessary to stop the reaction completely and extract
the excess and absorbed gases to ensure safety. A typical
method is the nitrogen purge, which injects nitrogen gas
to draw out the excessive fuel and oxidant.
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Chapter 2 Static Tests(I-V Measurements)
I-V tests measure the electromotive force by varying
the current over time.
2.1 Measuring System Configuration
Fig. 2.1 shows an outline of a measuring system
configuration. The main component of the electric sys-
tem is the electronic load unit. Digital voltmeters,
multi-channel A/D conversion boards, and scanners are
added if high accuracy is required for the electromotive
force or if electromotive force of each stack cell is to be
monitored.
PC
GasControl
SystemFuel
Cell
Electronic
Load
Digital
VoltMeter
Air or Oxygen
Hydrogen
Control
Control / Data Aqq.
Control /
Data Aqq.
Current
Fig. 2.1: Measurement system configuration
2.1.1 Overview of the Electronic Load Unit
The fundamentals of I-V tests are to arbitrary set
and run a load current from the fuel cells to be consumed
by a load and measure the electromotive force generated.
Variable resistors were used for this purpose before elec-
tronic load units were widely available. If the DUT (De-
vice Under Test) closely resembles a constant voltage
source, in other words the internal resistance is small and
the voltage is constant, there are not too may problems.
However, when measuring the DUT in which the internal
resistance changes such as in fuel cells, the controllabil-
ity to keep the current constant is poor when variableresistors are used. This is because the controlled parame-
ter is resistance. Moreover, because the allowable power
consumption varies depending on the resistance, it is
difficult to change the current over a wide range.
The electronic load unit is an application of an elec-
tronic circuit called constant-current circuit. Because
of the high level of controllability due to the fact that the
controlled parameter is current and not resistance and
because it is an electric circuit allowing automation, it
has become widely used today. Fig. 2.2 shows an outline
of the internal configuration of an electronic load unit.
Fig. 2.2: Outline of an electronic load unit
As an electronic load unit is based on a constant
current circuit, CC mode (Constant Current Mode), is its
basic operation mode. And its current direction performs
first-quadrant operation sunk only from the high poten-tial end. An electronic load unit has a minimum operat-
ing voltage that must be applied to achieve constant cur-
rent operation. This minimum operating voltage is an
important parameter when selecting an electronic load
unit. A load unit of 0 V input type 1 has a built-in power
supply unit for biasing that offsets the minimum operat-
ing voltage so that constant current operation is possible
even if the output voltage of the DUT is 0 V. For the case
of single-cell to several cell stacks, this type of electronic
load unit is convenient. On the other hand, because the
consumable power per volume decreases, you must se-
lect an appropriate electronic load unit by carefully
considering the actual voltage and current that will beused.
Electronic load units also equip with a function of
measuring the input DC voltage. This function should be
applicable, if high accuracy and precision are not so ma-
jor issue in the voltage measurement (such as monitoring
1 Our 0-V type products have the letter "A" attached to their model
name such as PLZ164WA and PLZ664WA.
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aging properties).
The ratings of an electronic load unit are often indi-
cated as W, V, and A. This does not mean
that the electronic load unit is capable of flowing
A at V. The power mainly indicates its performance.When it is focused specifically in terms of accuracy and
precision for current measurement, it should be noted thatthe greater value of power does not serve the lesser value
of power. The actual operating range in which tests are to
be performed must be reviewed, and the appropriate elec-
tronic load unit must be selected.
2.1.2 Digi tal Vol tmeter
Because voltmeters are designed exclusively to
measure voltages, the accuracy of voltage measurement
is several grades higher than the function internal to an
electronic load unit. If you seek high accuracy in voltage
measurements, a digital voltmeter should be used. In
recent years, voltmeters even with 6 1/2-digit precisionhave become quite ordinary.
If the item being measured is a stack and voltage
measurement is to be performed on each cell simultane-
ously, a multi-channel A/D converter or scanner is
convenient. Our KFM2151 FC Scanner is designed for
such applications.
One parameter that we need to pay attention is the
input impedance. In some small fuel cells, the input
impedance of the instrument cannot be ignored in which
case we cannot assume the digital voltmeter to be an
open circuit electrochemically. Most digital voltmeters
have input impedance around 1 M (sufficient for gen-
eral applications), but the ability to switch a higher
impedance depending on the model. If you want to meas-
ure voltages at extremely high impedance, care must be
exercised in selecting the appropriate model. This should
not pose a problem for mid-size to large fuel cells.
2.2 Before Running the Test System
2.2.1 Connecting to a Power Supply with
Sufficient Capacity
The power required to operate a basic electronicload unit (not a 0 V input type) is primarily used for
internal control and the power used to drive the cooling
fan. This power is not that large. However, for a 0 V in-
put type, an additional power to drive the bias power
supply is necessary, and this power is quite large.
Additionally, we can expect that the whole fuel cell
evaluation system would consume considerable amount
of power by auxiliary systems that control the gas flow
and temperature as well as heater and electromagnetic
valves. If the power supply capacity is just enough to
supply the consumed power during steady-state opera-
tion, the possibility for a circuit breaker and the like to be
cut off increases if the consumed power increases tran-
siently. A power supply cutoff in a condition in which the
load current is flowing is undesirable from the load unit
point of view, because the risk of the unit breaking in-
creases. In addition, it is possible that the breaker will
not trip unless the rating is exceeded by a great amount.
Or, it is possible that the breaker will not trip during the
equipment startup or warm-up and will finally trip after
entering the test phase. It is essential to provide a power
supply with enough capacity to run the entire equipment.
When using a 200-240V line voltage, a basic elec-
tronic load unit can be operated from a standard outlet,
because the consumed current is relatively small and a
thick power input cable is not necessary. However, a
connection through an outlet leads possible accidentssuch as disconnecting cable by stepping over the cable.
If the power to the load is ON when such accidents occur,
it may cause to interrupt the test, moreover, it could dam-
age the fuel cell and/or the load unit. This is undesirable
in terms of safety. For a system configured using a 0 V
input type electronic load unit, a power input cable of
significant thickness is necessary, because the consumed
current from the built-in bias power supply is large.
Though the mobility of the equipment is sacrificed, we
recommend that a terminal be crimped to a three-wire
cab-tire cable and this terminal be screwed to a terminal
board. We recommend that this is the safe and practical
method.
2.2.2 Ground the System properly
An electronic load system is designed with the
premises to be securely grounded. If the system is not
grounded, electric shock may occur if you touch the case
or a spark may be generated when connecting a signal
line from another grounded instrument. Particularly for a
fuel cell evaluation system, this condition is extremely
dangerous because fuel gas may accumulate in the sur-
roundings and may trigger an explosion. Grounding the
electronic load system is a must for safety reasons.
Grounding is also important in terms of measuringpoint of view, because we can expect the tolerance of the
system to various types of noise to increase and the
reproducibility of measurements to improve.
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2.2.3 Isolation from Surrounding Noise
Sources
The ON/OFF of a temperature-control heater, open-
ing and closing of electromagnetic valves, and the like
are electrical noise sources. These types of noise may
affect the system through the power line or through spaceas electromagnetic waves. It is important that the elec-
tronic load system be laid out and installed in a way that
minimizes the effects from noise. For example, the
following points should be exercised as much as possi-
ble.
Not bundle the power cable for the control equip-
ment that turns ON/OFF large amount of power and
the power cable for the electronic load system.
Use separate systems of input power lines.
Install them as far as possible.
The above should be also referred to load cables and
sensing wires.
2.2.4 Load Cables
It is often thought that load wiring is simply a matter
of connecting cables between the fuel cells (DUT) and
the input to the electronic load unit. This is indeed true
on the connection diagram. However, in an actual elec-
tronic load system, this connection is vital and forms the
basis for stable system operation and highly repeatable
measurements. This section describes the points to be
considered concerning load wiring.
The cables used to connect the fuel cell output to the
input terminal of an electronic load unit is quite large
compared to the cables you see in everyday life (exclud-
ing small-scale tests such as DMFC), because of the
large current that the cables can handle. A cable is
consisting of conductors that run current and covering
materials. Conductors are normally copper or tin wires.
If the cable wire is single-wire cables with a single
conductor, it is inconvenient because they cannot be bent
easily. Therefore, twisted wires consisting of multiple
thin wires (referred to as element wires) are typically
used. Covering is provided on the outside of the conduc-
tors for insulation. Various insulators are used for the
covering such as PVC, polyethylene, and synthetic rub-ber.
The capacity of the current that a cable can run var-
ies depending on the covering material, temperature in-
crease in the conductors, and the like. If a current
exceeding the allowable current capacity of the cable is
run and the temperature increases above the allowable
temperature, it can cause melting of the covering, smoke,
fire, carbonation, etc. The temperature increase in
conductors is mainly dependent on its resistance2, and
the conductor resistance is mainly determined by its
thickness. The thickness of conductors is expressed by
the cross-sectional area. If multiple thin wires are bun-
dled, it is the sum of the individual cross-sectional areas.
The cross-sectional area is typically indicated using mm2
or AWG (American Wire Gauge). Table 2.1 shows the
allowable currents by cross-sectional area for low volt-
age indoor wiring as given in the Technical Standard for
Electric Facilities in Japan.
Nominal
cross-sectional
area
AWG (Refer-
ence
cross-sectional
area) [mm2]
Allowable
current
[A]
Kikusui-
recommended
current
[A][mm2]
2 14 (2.08) 27 10
3.5 12 (3.31) 37 -
5.5 10 (5.26) 49 20
8 8 (8.27) 61 30
14 5 (13.3) 88 50
22 3 (21.15) 115 80
30 2 (33.62) 139 -
38 1 (42.41) 162 100
50 1/0 (53.49) 190 -
60 2/0 (67.43) 217 -
80 3/0 (85.01) 257 200
100 4/0 (107.2) 298 -
125 - (-) 344 -
150 - (-) 395 300
200 - (-) 469 -
250 - (-) 556 -
325 - (-) 650 -
Table 2.1: Nominal cross-sectional area of wires and
allowable currents
The Kikusui-recommended current specified in Ta-
ble 2.1 allows for margin taking into consideration how
the electronic load unit is used such as higher increases
in temperature when wires are twisted together.3 The
cross-sectional area of wires used in a typical power strip
is less than or equal to 2 mm2with an allowable current
of around 15 A. A wire with a cross-sectional area of
around 80 mm2 applies to the allowable current of 200A
and which diameter of wire is about 2 cm as the size of
thickness. Because technical standards for electric facili-
ties vary depending on the country, be sure to meet the
standards for the country in which the equipment is used.
In an actual wiring, there is a section where the end
of the cable makes contact with the electrode, and a con-
2 The resistance is obviously not zero.3 This is because the heat dissipation area is less than that of a single
wire.
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tact resistance is present at that location. Like the
conductor resistance, the contact resistance cannot be
ignored if a large current is run through the cable. If the
contact resistance is large, the contact area heats up when
a current is applied and causes adverse effects on the
covering around the contact. As a typical, low-cost, and
reliable method, cables are usually connected to the fuel
cells or the input terminal of the electronic load unit us-
ing crimp terminals with screws or bolts. In this method,
the end of the cable with the covering stripped is inserted
into a terminal called a crimp terminal and compressed
together using a dedicated crimping tool. Then the crimp
terminal is fastened to the electrode or the like of the fuel
cells using a screw or bolt. For large currents, multiple
screws are used to secure the cable. There seems to be
cases in which Cannon connectors for large currents are
used, but they are not as typical as crimp terminals. In
addition, depending on the type of fuel cell, the tempera-
ture of the output terminal of fuel cells increases whenfuel cells are activated. To ensure safety, the cable must
be connected to a location where the output terminal
temperature is less than the allowable temperature of the
cable. The allowable temperature limit of a typical cable
is at around 105 C. If the specification of cable exceeds
its temperature limit, it may be a special design cable
which could be hardly acquired and managed for the
laying arrangement.
In addition to heat, thick cables are considerably
heavy. For example, 1 m of an 80-mm2 cable weighs
about 1 kg. If a 200-A current is wired over 5 m, 10 m of
80-mm2 cables are necessary, because two cables are
needed for positive and negative polarities. This meansthat the total weight of the cables is 10 kg. The cable can
no longer be moved as easily as a household power strip
and it could be heavier than the tested fuel cells them-
selves. If the cables are not fixed in place, it is possible
that the fuel cells may be pulled by the cables and fall
from the measurement bench or a gas pipe may become
loose. Therefore, consideration must also be given to
weight when laying and fixing the load cables.
Though it might not be a problem if the load current
is constant or changes slowly, however, the wiring also
exists inductance in addition to resistance which can
produce reactance. Reactance is like a resistor that takes
effect selectively in alternating current. Given frequencyf [Hz], inductance L [H], and reactance XL, their
relationship is expressed as XL = 2 fL []. Unlike
resistance, reactance does not consume power. However,
reactance causes the current phase to lag the voltage
phase, and large reactance can cause the electronic load
unit to oscillate. The cable inductance is mainly
determined by its shape and dimensions. The inductance
increases as the cable becomes longer or narrower and as
the loop formed by the cables is larger. Therefore, it is
desirable that the wiring be as short as possible. The
cable length should be kept less than 3 m (6 m total for
positive and negative polarities). Laying the cables
closely together or twisting the cables if it is possible
suppresses the inductance (reactance).
Below is a summary of this section.
Use a cable with a diameter suitable for the test cur-
rent.
Prepare the terminals appropriately and secure the
terminals with sufficient torque and enough screws,
bolts, or the like.
Take the weight of the cables into consideration and
lay and fix the cables in a way that avoids excessive
mechanical stress.
Use the shortest cables possible and lay the cables
closely together. If possible, twist the cables.
2.3 Fuel Cell Polarization Curve
Fig. 2.3 indicates a typical I-V curve.4
Fig. 2.3: A typical I-V curve
In general, we can determine the basic characteris-
tics of fuel cells from the polarization curve (I-V curve)
that is obtained through fuel cell tests.
2.3.1 OCV (Open Circui t Vol tage)
The voltage that is present when the load current is
0 A is called the OCV (Open Circuit Voltage). The volt-
age difference between this voltage and the logical value
of the electromotive force is called the activation over
voltage, and this is an indicator of whether the catalytic
agent is working effectively.
The actual OCV is closely related to the membrane
thickness and perforation.
4 It is also referred to as a Tafel plot.
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In fact that power is consumed and heat is generated
means that a voltage is generated in the specified area ofthe fuel cell. This voltage is generated in the opposite
direction to the fuel cell voltage (electromotive force)
and results in the following condition.
2.3.2 Internal Resistance (Ohmic Resistance)
In Fig. 2.3, as the load current (density) is gradually
increased, the terminal voltage decreases drastically at
first, then eventually, the voltage start to decrease in
proportion to (linearly to) the current density. The V/I
in this section indicates the static internal resistance. Ascan be seen from the graph, the static internal resistance
is an ohmic resistance, which is a sum of the bulk
resistance of the substances standing between the anode
and cathode and the parasitic resistance such as contact
resistance.
Voltage at the load unit input terminal < voltage atthe fuel cell output terminal
Because the voltage of the fuel cell or the power sup-
ply appears as if it has dropped as viewed from the load
input terminal, this phenomenon is called a voltage drop
in the world of electronics. If this voltage drop is large,
the voltage at the load input terminal may fall below the
minimum operating voltage of the electronic load unit. If
we do not keep this phenomenon in mind, it is possible
to repeat the following actions.
2.3.3 Limi ting the Current value
As the current (density) is increased further, the
terminal voltage starts to decrease drastically again. This
region determines the limit value of practical current.
Stop the load current because something seems to be
wrong.2.3.4 Estimation of Life Time
Currently, there seems to be no unified indicator that
is widely accepted as a way to estimate the service life of
fuel cells. The terminal voltage gradually decreases when
CC measurements is performed of which the current
flows constantly for long period of time. A typical way to
estimate the service life of fuel cells is to measure the
voltage level that drops over a given number of hours,
calculate the drop in the electromotive force per unit
operating time, and estimate the time it takes for the
terminal voltage to drop to a predefined value.
The voltage drop disappears and the minimum opera-
tion voltage is cleared.
Restart the load current.
2.4 Notes Concerning the ElectronicMeasurement System
2.4.1 Resulting from Load Cables
Up to this point, we have stated that there are
following type of cables;
load cables have cable resistance (resistance in theconductor)
contact resistance
Those type of cables generate the heat when load
current flows through these resistances, and electronic
load units have a voltage called a minimum operating
voltage, and
The voltage at the load input terminal falls below the
minimum operating voltage once again.
It is important to pay attention and recognize that
cables are too thin or large contact resistance may result
in a large voltage drop and that the voltage at the loadinput terminal may fall below the minimum operating
voltage due to the voltage drop if tests are performed
using large currents on fuel cells operating very close to
the minimum operation voltage.
2.4.2 Related to Sensing Wires
As explained in the previous section, load cables
have resistance, and voltage drop occurs when current
flows through them. In other words, the voltage at the
fuel cell output terminal does not match the same value
of voltage at the input terminal of the electronic load unit.
Therefore, voltage sensing cables must be connected tothe fuel cell output terminal to measure the correct DC
voltage.
2.4.3 Measuring the Current Using a Shunt
The load current is measured on the electronic load
unit. However, if high accuracy is required, insert a
four-terminal resistor for measuring current called a
the performance of electronic load units is not war-ranted if the voltage at the load input terminal is less
than the minimum operating voltage.
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7
shunt in the load current line. The voltage across the
shunt is measured and converted into current.
Because a shunt is a resistor, it generates the heat
while the current is drawn. If the current flow exceeds
the allowable limit through the shunt continuously, the
shunt will burn out. Even if it does not burn out, its value
of resistance will change permanently.
Shunts which handle for large currents are physi-
cally large, and it takes time to reach the temperature to
be stabilized. The resistive part of a shunt is made of
material with small temperature coefficient, but it is not
zero meaning that caution must be exercised when
measuring large currents. In addition, because the sense
voltage is 50 mV to 100 mV at full scale,5the sense volt-
age will be in the order of V for small currents. There-
fore, care must be exercised in the measurement.
A current transformer or a current sensor that uses a
current transformer is sometimes used to measure large
currents. In the past, the use of a current transformer wasavoided in current measurements requiring accuracy and
precision, because the linear characteristics of a current
transformer were often inferior to those of a shunt. How-
ever, some of the recent products can make measure-
ments at an equivalent level, and we believe that it will
gradually gain popularity in the future.
2.5 Conditions of Fuel and Air for I-VMeasurements
As explained in the last chapter, fuel cells must
supply fuel according to the load current. The amount of
supplied fuel must be varied according to the changes inthe load current. However, the speed of response of a
fuel cell control system is typically slower than the speed
for the variation of load current. Therefore, care must be
exercised in the speed in which the load current is varied
(swept).
5 The rated maximum current.
Chapter 3 Dynamic Test (Im-pedance Measurement)
If we refer to the resistance found from I-V
measurements as static impedance, impedance measure-
ment is to measure the dynamic impedance.
3.1 Method of Impedance Measure-ment
There are two methods of impedance measurement
that can be conducted today. They are the AC impedance
method and the current interrupt method.
The AC impedance method is to superimpose an AC
current component for measurement on the load current
and determines the impedance from this current and the
AC voltage that appears across the measured object.The current interrupt method is to interrupt the load
current at high speeds for a short interval and determines
the impedance from the voltage change that results.
Several other methods are available, but this booklet
will only cover these two most popular methods used
today.
3.2 AC Impedance Method
This section will explain the AC impedance method
in more detail.
The AC impedance method is to superimpose an AC
current component for measurement on the load current,it measures this superimposed AC current used to make
measurements and the AC voltage that appears across the
measured object, and performs signal processing to sepa-
rate the superimposed signal into a voltage amplitude
component of the same phase and a voltage amplitude
component of orthogonal phase, and calculates the resis-
tive component R and reactance component jX of the
impedance. From R and jX, the impedance magnitude|Z|
and phase angle are derived through ari thmetic.1 In
principle, it is possible to use CV operation2 that super-
imposes an AC current used to make measurements and
derives the impedance by measuring the resulting AC
current that flows. From an electrochemical point ofview, the CV measurement is desirable. However,
performing CV measurements on low impedance devices
such as fuel cells that are actually in operation is difficult
1 The difference between Cartesian coordinates and polar coordinates.2 Constant voltage operation.
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in terms of electronic engineering.3 Therefore, CC meas-
urement is used in most cases for devices that measure
impedance while running a load current greater than 10
A.
3.2.1 Equipment used for the measurement
system
It is possible to construct a measurement system by
combining an electronic load unit for superimposing an
AC current signal used to make measurements and a
frequency response analyzer (FRA) with a DC electronic
load unit. However, it is assumed that it may be difficult
for the user to calibrate this system after the test system
is constructed.
Our test system, consisting of model KFM2150, FC
Impedance Meter, combined with model PLZ-4W Series,
Electronic Load, has been calibrated as a whole system
when it is delivered to customers, so it reduces a burdenof the user.
3.2.2 Notes Concerning the Electronic Meas-
urement System
Reduction of mutual induction
The coupling of the sensing loop and load current
loop becomes higher.
The AC current used to make measurements be-
comes larger.
The measurement frequency becomes higher.
Therefore, we must also make the sensing loop area as
small as possible. As for the practical exercise, it is
important to twist the wires close together to the measur-
ing point so that the wires do not come apart. In addition,
the coupling of the load current loop and sensing loop
becomes higher as the distance between the loops be-
comes smaller and as the surface of loop become more
parallel. In fact, separating the loops is not possible in
principle, it is a good idea to make the surface of loop
orthogonal to each other. Because the magnetic flux is
generated proportionally to the AC current used to make
measurements, the effects on measurements will be
smaller if the AC current used to make measurements iskept small but large enough so that the intended
electromotive force generated by the inductance
(measurement signal) is not buried in the noise. This
phenomenon is caused by the induced electromotive
force, and the induced electromotive force is actually the
reactance of the mutual inductance. Therefore, the higher
frequency makes higher the electromotive force and it
makes adverse effects on measurements.
When making impedance measurements, we must
take into consideration the mutual induction that results
from the inductance as described in the previous chapter.
Even if we minimize the area formed by the load cable
loop, we cannot make the size of area down to zero.
Therefore, there is always some inductance in the load
cables. If AC current flows through the cables, AC mag-
netic field is generated in the space around the load ca-
bles. If the loop formed by the sensing cables exists in
this space, the magnetic fluxes interact, and electromo-
tive force is generated in the sensing cable loop. This
electromotive force is generated independently from the
intended electromotive force that is generated by current
drawn through the objective impedance. If the
electromotive force caused by mutual induction is
significantly large with respect to the electromotive force
due to inductance, it will cause adverse effects onmeasurements. This undesirable electromotive force
becomes large as
Wiring for the Control Function related
If you are controlling the KFM2150 system using
your PC, the communication line connecting between the
KFM2150 system and your PC is important. If this line
is close to a noise source, the possibility of communica-
tion errors increases. The load cables (during the imped-
ance measurement) and wires controlling the electromag-
netic valves of the gas system and the like can become
noise sources. Therefore, bringing the communication
line in contact or close to these lines or twisting them
together should be avoided. Moreover, the communica-
tion line also becomes a noise source against the sensing
wires, so it is also a good idea to keep them apart and not
twist them together. As a result, it is recommended to
separate the load cables, communication and controllines, and sensing wires.
The KFM2150 system is equipped with I/O termi-
nals for contact signals. When making connection to
external devices using these terminals, the same
consideration must be given to wiring as with the
communication line. In addition, long wires connected
with the end opened become antennas for noise and may
cause errors in operation (such as activating an alarm to
turning off the load). Therefore, control wires that are not
The inductance of the sensing loop and load current
loop become larger.
3 CV operation means that the device must operate at impedance lower
than the DUT. However, it is difficult to produce a device that can
supply large current at such low output impedance because the fuel cell
impedance is extremely low..
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used should be disconnected. system that a load unit is built in.
Level of AC current for measurement
It is defined that the term of Impedance measure-
ment has a meaning only if the DUT response is linear.However, electrochemical systems have high non-linear
characteristics. Therefore, it is advantageous to keep the
level of AC current used to make measurements low to
meet this requirement of linearity. On the other hand, it is
advantageous to use large AC currents (as long as the
circuit does not saturate) in terms of S/N4 for measuring
instruments. These two facts are in conflict. In reality,
the AC current should be large enough so that linearity is
not hindered but small enough in the range not to be af-
fected for S/N. For linearity, we must monitor the volt-
age response waveform to seek the appropriate current
level. For S/N, we can determine the appropriate current
level in relation to the fluctuation of the measured values.If the fluctuation is large even when the number of count
for averaging process is set to maximum, we can suspect
that the S/N is insufficient. According to reference [2],
the response can be assumed to be linear if voltage re-
sponse VAC is less than or equal to thermal voltage V T,
where VT is expressed by where R = 8.314 [J/mol-K]
where T is the temperature [K] and F is the Faraday con-
stant = 964851 [C].
The thermal voltage is 26 mV at 25 C and 32 mV at
100 C. It is stated that it is important for the amplitude
of the AC response signal be significantly smaller than
these values. The amplitude of a normal AC response
signal is 5 to 10 mV.
3.3 Current Interrupt Method
3.3.1 Equipment Used for the measurement
system
When using the current interrupt method, it is deter-
mined whether an electronic load unit can be used
depending on the level of interrupt speed required or the
level of current to be interrupted.
If the rise and fall times of the electronic load are
fast enough, the electronic load unit can be used to per-
form current interrupt. The KFM2150 also supports the
current interrupt method allowing you to make current
interrupt method measurements using only the KFM2150
To perform fast interrupts, a special interrupter
called a current interrupter that uses mercury relay or
the like is used in combination with a variable resistor
for power. However, it is not recommended for using an
electronic load unit with a current interrupter, becausethe load unit may be damaged from the surge voltage of
which the interrupter generates. In addition, there is a
way to observe and record of voltage change by using a
digital storage oscilloscope.
3.3.2 Notes Concerning the Electric Measure-
ment System
When making measurements using the current inter-
rupt method, we must pay attention to the reduction in
the inductance of the load cables even more than in the
case of using AC impedance method. If a current flowing
through an inductance component is varied, a reverseelectromotive force is generated according to the follow-
ing expression.
diV = Ldt
If this voltage is large, an arc is generated between
the electrodes, and the current cannot be interrupted. It is
extremely difficult to interrupt sharply a large direct cur-
rent. In addition, this electromotive force is superim-
posed on the voltage in response to the impedance of
current changes as a purpose of observation, and the
separation of the target signal from the electromotive
force lies in the hands of the observer. In a way, this
poses a problem of reproducibility, because the measure-
ment could be affected by the ability of observer.
RTVT= F
Furthermore, because the input terminals of an oscillo-
scope are typically connected to the chassis at the nega-
tive potential end,5 we may be faced with common-mode
noise problems depending on the observation conditions.
To perform impedance measurements using the current
interrupt method with high reproducibility, we must
design special equipment that minimizes the load and
sensing wiring to reduce the wiring inductance and
securely keep the residual inductance constant 6 and
minimize the coupling of the load cables and sensing
wires.
5 Called a single-ended input type and this term is used typically in
oscilloscopes. There are few oscilloscopes that are available used with
a type of balanced input.4 Signal-to-Noise Ratio. 6 Because the physical shape of the wiring is constant.
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3.4 Impedance Measurement
I-V measurements are the most common method as
a simple measurement performed on fuel cells. I-V meas-
urements allow us to presume the internal resistance.
However, it is not possible that this method of measure-
ment to specify the process of complex reaction of the
inside fuel cells. The impedance measurement (plot)
method is a type of new electrochemical measurement
method and is widely applied in the characteristics meas-
urement of fuel cells. In the impedance measurement of
fuel cells, the changes in the induced voltage (or current)
indicates a response according to the fuel cell
characteristics when a given level of perturbation current
(or voltage) is applied to fuel cells in operation. We can
specify the process of complex reaction of the inside fuel
cells by performing the impedance measurement on fuel
cells in operation.
Fig. 3.1 shows the most typical equivalent circuit ofa fuel cell.
Rs
Rp
Cp
Fig. 3.1: The most typical equivalent circuit of a fuel cell
The Rs specified in the above figure is the internal
resistance or ohmic resistance of the fuel cell that comes
from electrolytic resistance and solution resistance. TheRp specified in the above figure is derived from the
charge-transfer resistance in the oxidation-reduction
reaction of the electrode surface. The Cp specified in the
above figure is derived from the electric double layer
resistance near the electrodes.
I-V tests allow us to determine the sum of Rs and
Rp. When performing the Impedance measurements, it
enable to separate the Rs and the Rp.
3.4.1 Impedance Measurement Using the AC
Impedance Method
In the case of the AC impedance method, measuring
at a high frequency at which the reactance of Cp is suffi-
ciently smaller than the resistance of Rp causes the Rp to
disappear and allows us to obtain data consisting of
mostly the Rs component. If measurement is performed
at a frequency at which the reactance of Cp is suffi-
ciently greater than Rp, we can obtain Rs+Rp that are
synonymous to the internal resistance in the I-V
measurement. Additionally, we can determine the electric
double layer capacitance. Because we can analyze the
characteristics in more detail than static internal resis-
tance by reviewing the complex impedance data trace
obtained by varying the frequency used in the impedance
measurement, this method is sometimes called imped-
ance spectroscopy.The examination of the plural number of impedance
measurement data obtained by varying the frequency
requires an appropriate representation method. For this,
Cole-Cole plot and Bode plot are mainly used in the field
of fuel cells. Fig. 3.2 and Fig. 3.3 are examples of a
Cole-Cole plot and Bode plot, respectively.
Fig. 3.2: Cole-Cole plot example
In a Cole-Cole plot, resistance R is plotted on the
horizontal axis, and reactance jX is plotted on the verti-
cal axis. In the field of fuel cells, it is common to plot
-jX in the first and second quadrants. Frequency
information is not expressed in the plot. In a Bode plot,
the logarithm of the frequency is plotted on the horizon-
tal axis, and the magnitude of impedance (logarithm) and
phase of the impedance are plotted on the vertical axis.
In the field of electricity, resistance and reactance are
often expressed as R and jX. In the field of fuel cells, R
(a component of real number of the impedance Z) is of-
ten expressed as Z' or Re Z, and jX (a component of
imaginary number of the impedance Z) is often ex-
pressed as Z'' or Im Z.
A Cole-Cole plot is preferred as a point of easy to
understand the relationship between the trace and the
status of the electrochemical reaction. However, the
drawback is that the frequency information is not ex-
pressed directly. On the other hand, Bode plot is
inconvenient in that it is difficult to see the detailed
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11
3.4.2 Impedance Measurement Using the Cur-
rent Interrupt Method
changes because the impedance is plotted logarithmically.
But, it is preferred to the relaxation time that is easily
read from the phase change and frequency. Determining
which plot to be used should depend on the test and
analysis objectives.
It seems that the current interrupt method is typi-
cally used only to separate Rs. Consequently, the current
interrupt method is used as a function to determine Rs on
our KFM2150 System.In the world of electrochemistry, it is consideredgood practice to separate the anode and cathode to make
measurements using the three-electrode process that uses
a reference electrode when examining fuel cells. How-
ever, there is no reference electrode on an actual fuel cell.
Moreover, because no current must flow through the
reference electrode, high impedance is required on the
measuring instrument end. Because high impedance con-
flicts with low noise, high bandwidth, and high stability
in terms of electrical engineering, this is technically
difficult. Furthermore, it also requires measuring the
voltage on two channels, therefore, it is disadvantageous
in terms of cost when achieving a safe simultaneous
measurement. In the case of PEMFC or DMFC, it is aknown fact that the entire performance is virtually deter-
mined by the reaction at the anode. Therefore, if the
objective is to detect defects and deduce the cause rather
than an in-depth research and development of cells, the
two-electrode process will be sufficient. In addition, it is
a great advantage for the target object which is not re-
quired to be disassembled or damaged.
In principle, it is possible to examine the Rp-Cp
parallel section, but ensuring reproducibility is consid-
ered to be more difficult than with Rs.
Rp can be deduced by making a calculation with
Rs+Rp that is obtained from the I-V test result.
3.5 Conditions of Fuel and Air for Im-pedance Measurements
Fuel and air or oxygen is supplied in conjunction
with the load current basically in the same way as with
the I-V measurement. The gas control system does notneed to follow the measurement frequency. It is required
for the stability of time.
Fig. 3.3: Bode plot example
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Acknowledgements
We are indebted to the member of our development for full cooperation in writing and editing this reference guide
booklet.
We also received advice on the contents concerning electrochemical and gas system control, which are outside of
our domain, from the researchers in the laboratory of fuel cells of Chinese Academy of Science, Dalian Institute of
Chemical Physics (DICP). We would like to take this opportunity to thank these people for their support.
Bibliography
[1]
Larminie, James and Dicks, Andrew. Fuel Cell Systems Explained, translated by Tsuchiya Haruki.
Ohmsha, 2004.
[2]
K. R. Cooper, Vijay Ramani, James M. Fenton, and H. Russell Kunz. Experimental Methods and Data Analyses for
Polymer Electrolyte Fuel Cells. Scribner Associates, Inc.
Reference Guide to Electrical Measurement of Fuel Cell Testing
Fuel Cell Measurement Basics and Tips from Measuring Instrument Experts
February 7, 2007 (1st Edition)
(Editor)
Kikusui Electronics Corporation
FC Project Promotion Office
1-1-3, Higashiyamata,Tsuzuki-ku, Yokohama, 224-0023, Japan
URL: http://www.kikusui.co.jp/en/index.html
(Distributor in USA)
Kikusui America, Inc.
1744 Rollins Road
Burlingame, CA 94010
Phone (650)259-5900
Fax (650)259-5904
URL: http://www.kikusui.us
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