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INVERTER OUTPUT AC FILTER CAPACITOR FOR TODAY’S
DEMANDING APPLICATIONS
Hector A. Casanova
Director of Engineering
Cornell Dubilier Electronics, Inc.
New Bedford, MA 02744
January 12, 2015
Cornell Dubilier Electronics, Inc. 1605 E. Rodney French Blvd. New Bedford, MA 02744 Ph: (508) 996-8561 Fax: (508) 996-3830
www.cde.com
Many of today’s inverter circuits require highly
reliable and rugged capacitors to filter out the rich
harmonic content of their AC output waveforms.
The current of the harmonics at the output of
inverter circuits is often greater than the current at
the fundamental frequency. Consequently, the
harmonics can cause a significant increase in
capacitor power dissipation. This condition affects
both three-phase circuits (as illustrated) and single
phase circuits. The harmonic currents are
somewhat insignificant individually, however, in
sum, they can become substantial.
CDE Power Conversion Type PC Series capacitors
deliver a full 60,000 hour life at rated voltage, at a
hot-spot temperature (area reaching the highest
temperature) of 85°C. Type PC capacitors are
wound using a high crystalline metallized
polypropylene (HCPP) film, which possesses an
extremely low dissipation factor. They are
designed with materials and processes that keep
the Ohmic series resistance (Rs) to a minimum,
resulting in low loss across a wide frequency
range. HCPP films also improve high voltage and
temperature performance.
Figure 1: Typical Inverter Block Diagram with
output filter capacitors
Figure 4: CDE Power Conversion Type PC
When specifying inverter output filter capacitors,
the additional heating generated from the
harmonic content of the system must be accounted
for. If not, capacitor life will be shortened
considerably. The filter capacitors selected should
be designed to minimize losses in order to be able
to dissipate the increased power generated by the
harmonic currents. The increased peak voltage,
caused by harmonic voltages superimposed on the
fundamental waveform, should be examined as
part of the design process. If the capacitor is not
suitably sized, the dielectric can be damaged,
causing premature failure.
Power Conversion type capacitors feature
extruded aluminum cases with steel or aluminum
covers. Each is supplied with standard M6 X 1
threaded tin-plated brass terminals and a M12
mounting stud. Standard ratings include 300
Vac, 500 Vac, and 700 Vac. For more details
vist CDE.com and enter the link below.
http://www.cde.com/resources/catalogs/PC.pdf
Inverter IGBT switching circuits generate
harmonics that are odd numbered multiples of the
fundamental switching frequency (3rd, 5th, 7th,
etc.)
These harmonics combine with the
fundamental frequency and cause distortion of the
waveform. (Figure 2)
Figure 2: IGBT Switching causes distortion
When harmonics are superimposed on the
fundamental waveform, the peak voltage can be
considerably higher. A typical 480 Vac sytem can
have peak voltages approaching 1,000 Vac. This
higher peak voltage must be considered when
selecting the dielectric. (Figure 3)
Figure 3: Harmonic rich waveform
Cornell Dubilier Electronics, Inc. 1605 E. Rodney French Blvd. New Bedford, MA 02744 Ph: (508) 996-8561 Fax: (508) 996-3830
www.cde.com
The CDE Type PC Series employs a dual
protection system. First, the metalized film
construction exhibits an inherent self-healing
property, which allows the capacitor to clear away
any imperfections or voids without reducing
dielectric performance. This series also contains a
built-in pressure interrupter (Figure 4) with fault
current protection up to 10,000 Amps, to ensure a
fail-open end of life. Although most applications
require mounting the capacitors vertically, CDE
PC Type capacitors have undergone testing by
Underwriters Laboratories using three mounting
options: vertical, horizontal, and inverted
positions.
The total power (Pt) is obtained by solving for the
power generated at the fundamental and each
individual harmonic and summing them,
(1)
೙೟೓ ೓ೌೝ೘೚೙೔೎
೑ೠ೙೏ೌ೘೐೙೟ೌ೗
The power is a combination of the power losses of
the dielectric (Pd) itself and the Power losses due
to the Ohmic resistances (Pr),
(2)
∗ ∗ (3)
∗ (4)
Where,
଴ , : 0.0002 (5)
Figure 5
The safety pressure interrupter is designed to
disconnect the capacitor section as the cover
expands upwards due to internal gas build up.
Care must be taken at installation to provide a
minimum of 0.5 inch clearance to allow for this
expansion.
ܺ ൌ ∗∗∗
(6)
(7)
Solving for power,
∗ (8)
Example application input provided:
CDE capacitors are vacuum impregnated with a
specially treated environmentally safe dielectric
fluid. This fluid serves to enhance the life of the
capacitor by suppressing corona, increasing both
dielectric strength and heat dissipation.
The following is an example that demonstrates the
approach CDE engineers undertake while
specifying or designing capacitors to meet inverter
circuit harmonic filter applications:
CDE engineers require the following application
input to properly specify or design the filter capacitor.
Table 1
Customer Application Input Required
C
(µF)
Vrms
VPeak
Waveform
Tambient
Expected
Life (h)
FFT
(current/frequency)
PCSX35T110K475S-0000
1. Capacitance: 110µF
2. Ambient Temperature: 70°C
3. FFT for the RMS currents
4. From CDE design rules or data table:
a. 3.92°&/(
b. ) 71.5
c. 0.0036
And,
(9)
85°& 0 1 Where,
12
°
௔ With the required input data, the power generated by
the fundamental and harmonic currents can be
calculated and compared to the maximum power
handling of the capacitors. The maximum power
handling of the capacitor occurs when the hot spot
temperature reaches 85°C.
(10)
(11)
So that,
3. 435
(12)
The power at each frequency is then calculated
and totaled:
Cornell Dubilier Electronics, Inc. 1605 E. Rodney French Blvd. New Bedford, MA 02744 Ph: (508) 996-8561 Fax: (508) 996-3830
www.cde.com
௛௦ !" ᇱ #% &"%'(! ) #! &*&" +"&(16)
Table 2
Input
Frequency Irms
(Hz)
(A)
13.0
60
4.2
880
11.6
2000
21.0
4000
5.4
6000
2.8
8000
1.6
10000
2.0
12000
1.0
14000
Total Power:
1 1 6 ∗
Pr
(Watts)
0.613
0.064
0.488
1.599
0.106
0.028
0.009
0.015
0.004
Pd
(Watts)
0.812
0.006
0.019
0.032
0.001
0.000
0.000
0.000
0.000
7
1 70°& 63.8 ∗
Pt
(Watts)
1.425
0.070
0.507
1.631
0.107
0.029
0.009
0.015
0.004
3.80
In this example the hot-spot temperature is just
below the maximum allowable temperature of
85°C and the power dissipation is also just below
the maximum power allowed as well. Therefore,
the capacitor can be rated for full 60,000 hour life.
CDE PC Series capacitors are designed for an
expected life of 60,000 hours of continuous
service with a 94% survival rate at full-rated
voltage and 85°C hot spot temperature. Life
curves demonstrating projected life at other hot
spot temperatures are shown below (figure 6) and
can be estimated using the following formula.
(17)
(13)
.
7 48. 9°:
(14)
;<=> 60,000 ∗ @2
,-ೝ .-ೌ /
B 0.
∗A C D
B
, ଶ (15)
Figure 6
Where,
1 85°&, 1 )EE21EF, B <B2G, B )EE2B2G
Cornell Dubilier Electronics, Inc. 1605 E. Rodney French Blvd. New Bedford, MA 02744 Ph: (508) 996-8561 Fax: (508) 996-3830
www.cde.com