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  DEFINITIONS OF ELECTRICAL PARAMETERS

INCAP Limited ( ICL ) has set up a unit for manufacture of Aluminum Electrolytic Capacitors ( AECs ) of different sizes.
 

Sequence of measurement of parameters are in accordance with "ICE60384-4".

  1. Leakage current ( IL )
  2. Capacitance ( CR )
  3. Dissipation factor ( tan δ  ) or ESR
  4. 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

  • Most Preferred Tolerance

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

  1. Capacitive reactance 1/w Cs.

  2. Dielectric losses and ohmic resistance of the electrolyte and the terminals (ESR)

  3. Inductive reactance w ESL of the capacitor winding and the terminals.

  4. 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
Balancing Resistor Value
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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