MMC Calculator Ver 2.2
9/12/2000 Terry Fritz |
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Mirrored &
modified little in Excel
12/12/2000 Kurt Schraner |
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Color
Legend: |
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Inputs[1] |
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precalc's |
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bad :-(( |
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?? :-| |
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good :-) |
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very good :-)) |
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DC
is in % tolerance |
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Auxiliary Data: |
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Single
Capacitor |
Input
Data ... and do a little calculation on it |
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SI units |
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Single Cap Specification |
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Lead |
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Transformer
rated RMS output voltage |
Vo = |
8[2] |
kV Vo = |
8000 |
V |
Cap type |
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Wima FKP1 33nF / 6kV |
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spacing |
TK |
Transformer
rated RMS output current |
Io = |
100 |
mA Io = |
0,1 |
A |
Thermal dissipation const. |
TK = |
33[3] |
C/W |
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mm |
C/W |
Fundamental
frequency of coil |
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F = |
100 |
kHz |
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Voltage per capacitor DC |
Vm = |
1500 |
V |
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5 |
250 |
Break rate
of primary gap BPS |
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BPS = |
100 |
BPS |
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Voltage per capacitor AC |
Vacm = |
450 |
V |
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7,5 |
167 |
Primary
circuit equivalent resistance (~3 Ohm) |
Rpri = |
2 |
Ohm |
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Capacity per capacitor |
Co = |
47 |
nF |
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10 |
133 |
Cap value
desired [ -1 for LTR ] Ctotal |
Ctotal = |
38 |
nF |
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Cost per capacitor |
Ccost = |
4,88 |
SFr |
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15 |
83 |
Cap value
tolerance desired % of Ctotal |
DCtotal = |
3 |
% |
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22,5 |
67 |
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27,5 |
40 |
Cap value
desired, used in calculation |
Cwish = |
38,00 |
nF Cwish= |
3,800E-08 |
F |
Capacity per capacitor |
Co = |
4,70E-08 |
F |
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37,5 |
33 |
Dielectric
loss factor |
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tan(d) = |
0,0009 |
- |
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Internal resistance |
Rcap = |
0,03078 |
Ohm |
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Spark gap
firing voltage |
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Vf = |
11,31 |
kV Vf = |
11314 |
V |
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Polypropylene |
Nominal
bang size |
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Ebang.wish = 0.5*Cwish*Vf^2
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2,432 |
J |
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Comments: |
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F |
tan(d) |
Nominal cap
TC power |
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PTC.wish =
BPS*Ecap.wish = |
243,2 |
W |
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1.) |
Vm of these Wima 6kV=
caps was set to 1600V |
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kHz |
- |
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because the ratio of
6kV/Vacm is unusually high. |
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10 |
0,0004 |
F- Warning: |
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50 |
0,0008 |
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2.) |
The proposed design was
realized in my first small MMC |
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100 |
0,0010 |
Optional: |
4 |
< override default initial
"Cps/Str" with your own value |
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200 |
0,0016 |
Strings |
Caps/Str |
Ncaps |
Ecap |
Wo |
total C |
E.bang |
I rms |
Voltage |
Temp To |
Cost |
Life |
Volt |
Temp |
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300 |
0,0024 |
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J |
Watt |
nF |
J |
A |
V |
C |
SFr |
hours |
fitness |
fitness |
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400 |
0,0040 |
3 |
4 |
12 |
0,1880 |
0,2850 |
35,25 |
2,26 |
9,13 |
6000 |
9,40 |
58,56 |
0 |
:-(( |
:-) |
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4 |
4 |
16 |
0,1880 |
0,2850 |
47,00 |
3,01 |
12,17 |
6000 |
9,40 |
78,08 |
0 |
:-(( |
:-) |
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4 |
5 |
20 |
0,1203 |
0,1824 |
37,60 |
2,41 |
9,74 |
7500 |
6,02 |
97,60 |
0 |
:-(( |
:-) |
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5 |
5 |
25 |
0,1203 |
0,1824 |
47,00 |
3,01 |
12,17 |
7500 |
6,02 |
122,00 |
0 |
:-(( |
:-) |
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4 |
6 |
24 |
0,0836 |
0,1267 |
31,33 |
2,01 |
8,11 |
9000 |
4,18 |
117,12 |
0 |
:-( |
:-)) |
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5 |
6 |
30 |
0,0836 |
0,1267 |
39,17 |
2,51 |
10,14 |
9000 |
4,18 |
146,40 |
0 |
:-( |
:-)) |
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5 |
7 |
35 |
0,0614 |
0,0931 |
33,57 |
2,15 |
8,69 |
10500 |
3,07 |
170,80 |
1 |
:-| |
:-)) |
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6 |
7 |
42 |
0,0614 |
0,0931 |
40,29 |
2,58 |
10,43 |
10500 |
3,07 |
204,96 |
1 |
:-| |
:-)) |
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6 |
8 |
48 |
0,0470 |
0,0712 |
35,25 |
2,26 |
9,13 |
12000 |
2,35 |
234,24 |
6 |
:-)) |
:-)) |
best price for fully safe design! |
7 |
8 |
56 |
0,0470 |
0,0712 |
41,13 |
2,63 |
10,65 |
12000 |
2,35 |
273,28 |
6 |
:-)) |
:-)) |
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7 |
9 |
63 |
0,0371 |
0,0563 |
36,56 |
2,34 |
9,47 |
13500 |
1,86 |
307,44 |
37 |
:-)) |
:-)) |
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8 |
9 |
72 |
0,0371 |
0,0563 |
41,78 |
2,67 |
10,82 |
13500 |
1,86 |
351,36 |
37 |
:-)) |
:-)) |
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8 |
10 |
80 |
0,0301 |
0,0456 |
37,60 |
2,41 |
9,74 |
15000 |
1,50 |
390,40 |
179 |
:-)) |
:-)) |
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9 |
10 |
90 |
0,0301 |
0,0456 |
42,30 |
2,71 |
10,95 |
15000 |
1,50 |
439,20 |
179 |
:-)) |
:-)) |
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8 |
11 |
88 |
0,0249 |
0,0377 |
34,18 |
2,19 |
8,85 |
16500 |
1,24 |
429,44 |
746 |
:-)) |
:-)) |
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9 |
11 |
99 |
0,0249 |
0,0377 |
38,45 |
2,46 |
9,96 |
16500 |
1,24 |
483,12 |
746 |
:-)) |
:-)) |
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9 |
12 |
108 |
0,0209 |
0,0317 |
35,25 |
2,26 |
9,13 |
18000 |
1,04 |
527,04 |
2751 |
:-)) |
:-)) |
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10 |
12 |
120 |
0,0209 |
0,0317 |
39,17 |
2,51 |
10,14 |
18000 |
1,04 |
585,60 |
2751 |
:-)) |
:-)) |
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10 |
13 |
130 |
0,0178 |
0,0270 |
36,15 |
2,31 |
9,36 |
19500 |
0,89 |
634,40 |
9141 |
:-)) |
:-)) |
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11 |
13 |
143 |
0,0178 |
0,0270 |
39,77 |
2,55 |
10,30 |
19500 |
0,89 |
697,84 |
9141 |
:-)) |
:-)) |
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11 |
14 |
154 |
0,0153 |
0,0233 |
36,93 |
2,36 |
9,56 |
21000 |
0,77 |
751,52 |
27782 |
:-)) |
:-)) |
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12 |
14 |
168 |
0,0153 |
0,0233 |
40,29 |
2,58 |
10,43 |
21000 |
0,77 |
819,84 |
27782 |
:-)) |
:-)) |
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