- Leakage current ( IL
)
- Capacitance ( CR )
- Dissipation factor ( tan δ
) or ESR
- Impedance (Z).
CAPACITANCE
AC and DC capacitance
The capacitance of a capacitor can be
determined by measuring its AC Impedance
(taking into account amplitude and phase) or
by measuring the charge it will hold when a
direct voltage is applied. The two methods
produce slightly different results. As a
general rule, it can be said that DC voltage
based measurements (DC capacitance) yield
higher values than the alternating current
method (AC capacitance). The factors are
approximately 1,1 to 1,5 and maximum
deviations occur with capacitors of low
voltage ratings.
Corresponding to the most common
applications (e.g. smoothing and coupling),
it is most usual to determine the AC
capacitance of aluminium electrolytic
capacitors.
AC Capacitance of an Electrolytic
Capacitor
The capacitance of an equivalent
circuit, having capacitance, resistance and
inductance in series, measured with
alternating current of approximately
sinusoidal waveform at a specified frequency
is given below (refer to Fig. 1).
For this purpose the capacitive
component of the equivalent series circuit
(the series capacitance CS)
is determined by applying an
Alternating voltage of < 0,5 V. As
the AC capacitance depends on frequency and
temperature, IEC 60384-1 and 60384-4
prescribe a measuring frequency of 100 Hz
and a temperature of 25oC (other
reference values by special request).
There also applications (e.g.
discharge circuit and timing elements) in
which the DC capacitance is decisive. In
spite of this fact capacitors for which the
capacitance has been determined by the ac
method are also used in such applications,
where by allowances are made to compensate
for the difference between the two measuring
methods.
DC Capacitance of an Electrolytic
Capacitor
However, in exceptional cases it may
be necessary to determine the DC
capacitance. The IEC publications do not
provide any corresponding specifications.
Because if this a separate DIN standard has
been defined. The standard, DIN 41 328, part
4, describes a measuring method involving
one-time, non-recurrent charging and
discharging of the capacitor.
DC Capacitance is given by the amount
of charge which is stored in the capacitor.
Rated Capacitance (CR)
The rated capacitance is the AC
capacitance value for which the capacitor
has been designed and which is indicated
upon it. CR is determined by
specific measurement methods described in
the relevant standards (IEC 60384-1 and
60384-4). Preferred capacitance values are
taken from the E3 or E6 series.
INCAP specifies CR in μF as
the AC capacitance measured at 100 or 120 Hz
and 25oC, in accordance with IEC
60384-4.
Capacitance Tolerance
The capacitance tolerance is the range
within which the actual capacitance may
deviate from the specific rated capacitance.
Where the capacitance tolerances are to be
indicated on the components themselves,
INCAP uses code letters in accordance with
IEC 60062; this code letter is also part of
the ordering code.
The details of code letter for
capacitance tolerance are as given below.
Preferred values of tolerances on
rated capacitances
Capacitors with -5 +5% can also be
provided on Specific Application.
These values depend on the relevant
series.
VOLTAGE
Rated Voltage (UR)
The maximum direct voltage, or peak
value of pulse voltage which may be applied
continuously to a capacitors at any
temperature between the lower category
temperature and the rated temperature.
Category Voltage (UC)
The maximum voltage which may be
applied continuously to a capacitor at its
upper category temperature.
Temperature Derated Voltage
The temperature derated voltage is the
maximum voltage that may be applied
continuously to a capacitor, for any
temperature between the rated temperature
and the upper category temperature.
Ripple Voltage (URPL)
An alternating voltage may be applied,
provided that the peak voltage resulting
from the alternating voltage, when
superimposed on the direct voltage, does not
exceed the value of rated direct voltage and
that the ripple current is not exceeded.
Reverse Voltage (UREV)
The maximum voltage applied in the
reverse polarity direction to the capacitor
terminations.
Surge Voltage (US)
The maximum instantaneous voltage
which may be applied to the terminations of
the capacitor for a specified time at any
temperature within the category temperature
range.
TEMPERATURE
Category Temperature Range
The range of ambient temperatures for
which the capacitor has been designed to
operate continuously: this is defined by the
temperature limits of the appropriate
category.
Rated Temperature
The maximum ambient temperature at
which the rated voltage may be continuously
applied.
Minimum Storage Temperature
The minimum permissible ambient
temperature which the capacitor shall
withstand in the non-operating condition,
without damage.
RESISTANCE / REACTANCE
Equivalent Series Resistance (ESR)
The ESR of an equivalent circuit
having capacitance, inductance and
resistance in series measured with
alternating current of approximately
sinusoidal waveform at a specified
frequency.
Equivalent Series Inductance (ESL)
The ESL of an equivalent circuit
having capacitance, resistance and
inductance in series measured with
alternating current of approximately
sinusoidal waveform at a specified
frequency.
DISSIPATION FACTOR ( TANGENT OF LOSS
ANGLE; tan δ )
The power loss of the capacitor
divided by the reactive power of the
capacitor at a sinusoidal voltage of
specified frequency:
tan δ = ESR X 2 ^ fC (approximation
formula)
IMPEDANCE (Z)
The impedance (Z) of an electrolytic
capacitor is given by capacitance, ESR and
ESL in accordance with the following
equation
Capacitive reactance 1/w
Cs.
Dielectric losses and ohmic
resistance of the electrolyte and the
terminals (ESR)
Inductive reactance w ESL of the
capacitor winding and the terminals.
The inductive reactance w ESL
only depends on the frequency, whereas
1/wCs and ESR depend on frequency and on
temperature.
The characteristics of the individual
resistive and reactive components determine
the total impedance of the capacitor.
- Capacitor reactance predominates at
low frequencies.
- With increasing frequency, the
capacitive reactance (Xc = 1/w Cs)
decreases until it reaches the order of
magnitude of the electrolyte resistance.
- At even higher frequencies and
unchanged temperatures, the resistance of
the electrolyte predominates.
- When the capacitor's resonance
frequency is reached, capacitive and
inductive reactance mutually cancel each
other.
- Above this frequency, the inductive
resistance of the winding and its terminals
(XL = wL) becomes effective and leads
to an increase in impedance.
The resistance of the electrolyte
increases strongly with decreasing
temperature.
CURRENT
Leakage Current (IL)
The current flows through a capacitor
when a DC voltage is applied in correct
polarity. It is dependent on voltage,
temperature and time.
Leakage Current for acceptance test (IL5)
In accordance with international
standards ("IEC 60384-4" and "EN130300") the
leakage current ( IL5)
after 5 minutes
application of rated voltage at 25oC,
is considered as an acceptance requirement.
The
leakage current requirements for the
majority of INCAP electrolytic capacitors,
are lower than specified.
After
prolonged storage and/or storage at
excessive temperature (> 40oC),
the leakage current at the first measurement
may be more than specified. Pre-conditioning
shall be carried out in accordance with
"EN130300 sub clause 4.1".
Operational Leakage Current (IOP)
After
continuous operation (1 hour or longer) the
leakage current will normally decrease to
less than 20% of the 5 minute value (IL5).
Table 1
Typical multiplier of operational leakage
current as a function of ambient temperature
Table 2
Typical multiplier of operational leakage
current as a function of applied voltage
Ripple
Current (IR)
Any
pulsating voltage (or ripple voltage
superimposed on DC bias) across a capacitor
results in an alternating current through
the capacitor.
Because
of ohmic and dielectric losses in the
capacitor, this alternating current produces
an increase of temperature in the capacitor
cell.
The heat
generation depends on frequency and waveform
of the alternating current.
The
maximum RMS value of the alternating
current, which is permitted to pass through
the capacitor during its entire specified
useful life (at defined frequency anddefined
ambient temperature), is called
rated ripple
current ( IR ).
The rated
ripple current is specified in the relevant
detail specifications at 100 or 120 Hz (in
special cases at 100 kHz ) and at upper
category temperature.
Usually
the rated ripple current will cause a
temperature increases of the capacitor's
surface of approximately 3o or 5o
K(dependent on series) compared with
ambient temperature. A furthur temperature
increase of 3o or 5o K
will be found in the core of the capacitor.
This
temperature rise is the result of the
balance between heat generated by electric
losses:
P = I2R
ESR
And the
heat carried off by radiation, convection
and conduction:
P =
IR can be
determined by the equation:
IR =
Where:
T = difference of temperature between
ambient and case surface
A = geometric surface area of the capacitor
= specific heat conductivity, dependent on
the size of the capacitor.
The heat
, generated by ripple current, is an
important factor of influence for non-solid
electrolytic capacitors for calculating the
useful life certain circumstances.
In the
detail specifications this factor is
considered in the so-called 'life-time
nomograms' ('Multiplier of useful life'
graph) as a ratio between actual ripple
current (IA) and rated
ripple current (IR), drawn
on the vertical axis.
Care
should be taken to ensure that the actual
ripple current remains inside the graph at
any time of the entire useful life. If this
cannot be realized, it is more appropriate
to choose a capacitor with a higher rated
voltage or higher capacitance, than
originally required by the application.
The
internal losses and the resultant ripple
current capability of electrolytic
capacitors are frequency dependent.
Therefore, a relevant frequency conversion
table ('Multiplier of ripple current as a
function of frequency') is stated in the
detail specifications.
The Useful
life of Capacitor at maximum operating
temperature is as follows.
-
L2 = L1x2 T1-T2
where,
-
10
-
L1
:
Specified
life
(hrs)
at
temperature,
T10C
-
L2
:
Useful
life
(hrs)
at
temperature,
T20C
-
T1
:
Maximum
operating
temperature(0C)
-
T2
:
Actual
operating
temperature,
[ambient
Temperature +
-
-
Temperature
rise
due
to
ripple
current
heating
(0C)]
A quick reference capacitor guide for estimating life is as given below
☛
Useful Life Estimate Quick Reference Guide
1.
850C2000h
2.
1050C1000h
☛
Failure rate curve
-
1.3
Factors Effecting life expectancy
The following misapplication will cause rapid deterioration to capacitor electrical parameters. In addition to rapid heating and gas generation within the capacitor pressure relief vent will operate and result in leakage of electrolyte.
-
1.3.1 Reverse Voltage
DC capacitors have polarity. Verify correct polarity before insertion. For circuits with changing or uncertain polarity, use DC Bi-polar / Non-polar capacitors. DC Bi-polar/Non-polar Capacitors are not suitable for use in AC circuits.
-
-
1.3.2 Charge/Discharge Applications
-
Standard capacitors are not suitable for use in repeating charge/ discharge applications. For charge/ discharge applications specially designed Capacitors are to be used.
-
1.3.3 Over Voltage
-
Do not apply voltage exceeding the maximum specified rated voltage. Voltage up to the surge voltage are acceptable for very short duration only. Ensure that the sum of the DC voltage and the superimposed AC ripple peak voltage does not exceed the rated voltage.
-
-
1.3.4 Ripple Current
-
Do not apply ripple currents exceeding the maximum specified value. For high ripple current applications, use a capacitor designed for high ripple currents or contact factory with your requirements.
-
-
Capacitor bank design - guide lines
-
-
In some applications the required
capacitance value/voltage is
possible by using more than one
Electrolytic capacitor. This may be
the case if:- the required
electrical charge is too high to be
stored in a single capacitor,
-
-
- the voltages that are to be
applied are higher than can be
attained by the permissible
operating voltage ratings,
-
-
- charge-discharge and ripple
current loads would generate more
heat than could be safely dissipated
by a single capacitor, and
-
-
- the requirements on the electrical
characteristics such as Low ESR, Low
Impedance may be too difficult or
even impossible to implement them in
a single capacitor.
-
-
In these cases, bank of capacitors
connected in parallel or in series
or in combined parallel and series
circuits will be used. To prevent
overloading of individual
capacitors, the capacitance
tolerance must be taken into account
when determining the maximum ripple
current. Furthermore, the individual
capacitors must not be subjected to
negative voltages when the bank is
discharged.
-
-
Parallel connection of AI.
Electrolytic capacitors
-
-
Al-electrolytic capacitors may be
connected in parallel, but for
safety reasons, large sizes should
be individually guarded against
sudden energy discharge capacitor
bank due to a defective capacitor.
-
If one of the capacitors in a
parallel circuit fails as a result
of an internal short circuit, the
entire bank is discharged through
the defective capacitor. In the case
of large bank with high energy
content this ay lead to extremely
abrupt and serve discharge
phenomena. It is therefore advisable
to take measures to prevent or limit
the short-circuit discharge current.
In smoothing capacitor bank, for
example, this is achieved by
installing individual fuses; the
principle is shown in figure 1.
-
-
-
-
-
-
-
Figure
1 Individual Fuses smoothing
capacitor
-
-
-
Figure
2 Protection by charging
resistors
-
The protecting of capacitors
connected in parallel is not
suitable for capacitor banks
designed for impulse discharges.
Here, the capacitors should be
protected during the charging
process by means of appropriate
resistors. The capacitors are then
connected in parallel immediately
before they are to be discharge. The
principle is shown in figure 2.
-
Series Connection of AI.
Electrolytic Capacitors
-
If two or more electrolytic
capacitors are connected in series,
balancing resistors are required; as
the leakage current for capacitors
shall not be identical, it shall
vary from capacitor to capacitor. In
such case when voltage is applied it
shall not draw the appropriate
voltage. There can have a chance of
a capacitor drawing more than the
rated voltage. Balancing resistors
limit the difference in voltage
across the capacitors under
balancing DC conditions.
-
PI: Refer Fig. 3 for details of 2
capacitors in the series.
-
For practical purposes the following
equation can be used to calculate
the maximum possible resistor
-
Values in ohms:
-
-
Here, U
m is the maximum voltage
that may be present on one of the
capacitors and I L5 is
the specified leakage current in
amperes after 5 minutes (used as an
approximation of the difference in
leakage current between C1 and C2)
-
-
-
Figure 3 Balancing resistors
two electrolytic capacitors
in series
-
-
-
Figure 4 series connection
(forced distribution Balancing)
Another method of series connection
by using Electrically Isolated
Voltage Source as shown in Fig. 4.
This is known as Forced Voltage
distribution Balancing.
The balancing measures described
above may be omitted in cases where
the total dc voltage to be applied
is substantially lower than the sum
of the rated voltages of the capacitors to be used.
Experience has shown that this
possible for n = 2 to 3 single
capacitors in series without any
considerable risk if the total
voltage does not exceed 0.8 . n . UR. However, this solution can only be
implemented if the series circuit
consists of matching capacitors
(same type, same capacitance), so
that the dielectric insulation resistance of the capacitors, which
is the only factor determining the
voltage distribution in this case,
will not vary too greatly from one
capacitor to the next.
-
Combined series / parallel
connection
The above mentioned rules for both
series and parallel connection are
accordingly valid for any
combination of these two cases. If balancing resistors are to be
used, it is advisable to allocate a
separate resistor to each capacitor
(Fig. 5).
-
Figure 5 Combined parallel / series connection
(voltage balancing by shunt
resistors)
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