Výpočty cívek
Indukčnost cívek
L = µ0 * µr * N2 * S / l
kde
L - indukčnost [H]
µ0 - permeabilita vákua Pi*4e-7 = 1,256e-6 H/m (N/A2)
µr - relativní permeabilita
N - počet závitů cívky
S - průřez jádra cívky [m2]
l - délka cívky (u toroidu střední délka siločáry) [m]
Pokud má mít jednovrstvá vzduchová cívka co nejvyšší jakost, doporučuje se, aby r=1,25 x l a mezery mezi závity byly stejné jako tloušťka drátu, jak je vysvětleno v článku Optimální rozměry jednovrstvých cívek. Tam je i vzorec, skript a nomogram na návrh cívky s maximální jakostí. Cívka, která má mít malou jakost, např. tlumivka, se obvykle vine na malý průměr a je dlouhá.
V lineární oblasti (před nasycením jádra) zdroj
U = -L ΔI / Δt
tj. L = ΔU * Δt / I - TODO provést pokus s měřením napájení cívky proudovým zdrojem a odečtením na osciloskop
Toroidní cívky
Pro zjednodušení výpočtu s vyráběnými toroidními jádry se používá cívková konstanta jádra AL [H/závit2] = µ0 * µr * S / l
L = AL * N2
Tabulka indukčností toroidních cívek pro některá jádra z Prametu Šumperk a Amidony
toroid |
N1 ø6.3 |
N1 ø10 |
N1 ø16 |
N02 ø6.3 |
H20 ø6.3 |
H20 ø10 |
FT37-43 |
FT50-43 |
FT37-61 |
µr |
~120 |
~20 |
~2000 |
|
850 |
|
125 |
AL [nH / závit2] |
32,4 |
48 |
66,6 |
5,4 |
540 |
800 |
42 |
52,3 |
5,53 |
toroid |
T50-1 |
T25-2 |
T37-2 |
T44-2 |
T50-2 |
T60-2 |
T80-2 |
T94-2 |
T106-2 |
T130-2 |
T37-6 |
T50-6 |
T37-10 |
µr |
20 |
10 |
8 |
6 |
AL [nH / závit2]
|
10 |
3,4 |
4 |
5,2 |
4,9 |
6,5 |
5,5 |
8,4 |
13,5 |
11 |
3 |
4,9 |
2,5 |
Určení relativní permeability jádra:
střední délka siločáry l = Pi * (D+d) / 2 [m]
průřez jádra S = (D-d) * h / 2 [m2]
µr = (L * l) / (µ0 * N2 * S)
µr = [L * (D+d)] / [4e-7 * N2 * h * (D-d)]
Sycení jádra
U feritových materiálů NiZn s µr < 1000 je maximální sycení Bmax = 1,5T, u feritů MnZn s µr > 1000 je Bmax = 3T a u železoprachových je Bmax přes 10T, tam je ale důležité kontrolovat oteplení jádra (Curieovu teplotu).
B = (L * I) / (N * S)
kde
B - magnetická indukce [T]
L - indukčnost tlumivky [H]
I - magnetizační proud [A]
N - počet závitů cívky
S - průřez jádra [m2]
10000 Gaussů = 1 Tesla
Příklad: balun pro přenos výkonu P=1kW Z=50Ohm, jádro Amidon T200-2, N=30závitů, S=127mm2, AL=12nH/závit2
Cívka L = AL * N2 = 24 * 302 = 10,8uH
Pro spodní kmitočet 3,5MHz Xl = 2 * Pi * f * L = 2 * 3,14 * 3,5e6 * 10.8e-6 = 238ohm je minimálně 4x větší než Z tj. ok. Horní kmitočet omezí kapacita vinutí.
Proud cívkou bude I = √(P / R) = 4,47A
Sycení jádra B = (10.8e-6 * 4.47) / (30 * 127e-6) = 12.6mT
Pro 2 slepená jádra nebo jádro T200-2B (N=30, S=223mm2, AL=21,8nH/závit2): L = 19,6uH, Xl = 431ohm, B = 13mT
Jelikož B = µ0 * µr * N * I / l , tak na velikost sycení nemá vliv zvětšení tloušťky jádra, jen µr, počet závitů, proud a střední délka siločáry (kolega prohlásil slepím 2 jádra, aby to vydrželo větší výkon).
|
Toroidní feritová jádra
Amidon
průměry feritů v mm: T25=6.3 T37=10 T50=13 T68=17 T80=20 T94=24 T106=27 T130=33 T157=40 T184=46 T200=51
objednávat lze z TME
železoprachová jádra
Označení | | | Barva | rezonanční obvody [MHz] | µr | teplotní stabilita [ppm/°C] |
Tm-0 |
|
- |
světle hnědá / bez barvy |
100 - 300 |
1 |
0 |
Tm-1 |
|
- |
modrá / bez barvy |
0.5 - 5 |
20 |
280 |
Tm-2 |
|
- |
červená / bez barvy |
2 - 30 |
10 |
95 |
Tm-3 |
|
- |
šedá / bez barvy |
0.05 - 0.5 |
35 |
370 |
Tm-6 |
|
- |
žlutá / bez barvy |
10 - 50 |
8 |
35 |
Tm-7 |
|
- |
bílá / bez barvy |
3 - 35 |
9 |
30 |
Tm-10 |
|
- |
černá / bez barvy |
30 - 100 |
6 |
150 |
Tm-12 |
|
|
zelená / bílá |
50 - 200 |
3 |
170 |
Tm-15 |
|
|
červená / bílá |
0.1-2 |
25 |
190 |
Tm-17 |
|
|
modrá / žlutá |
20 - 200 |
4 |
50 |
Tm-18 |
|
|
červená / zelená |
0 - 0.5 |
55 |
|
Tm-26 |
|
|
žlutá / bílá |
0 - 1 |
75 |
822 |
feritová jádra
Označeni | µr | rezonanční obvody [MHz] | širokopásmové obvody [MHz] | RF filtry [MHz] | teplotní stabilita [%/°C] |
FTm-31 |
|
|
?, na odrušení |
|
|
FTm-33 |
800 |
0.01-1 |
1-30 |
20-80 |
0.1% |
FTm-43 |
850 |
0.01-1 |
1-30, na odrušení |
20-250 |
1% |
FTm-61 |
125 |
0.2-10 MHz |
10-200 |
200-1000 |
0.15% |
FTm-64 |
250 |
0.05-4 |
50-500 |
200-5000 |
0.15% |
FTm-67 |
40 |
10-80 |
200-1000 |
>1000 |
0.13% |
FTm-68 |
20 |
80-180 |
0.5-30 ??? |
>10000 |
0.06% |
FTm-73 |
2500 |
0.001-1 |
0.2-15 |
1-40 |
0.8% |
FTm-77 |
2000 |
0.001-2 |
0.5-30 |
1-40 |
0.25% |
FTm-83 |
300 |
0.001-5 |
1-15 |
0.5-20 |
0.4% |
FTm-F |
3000 |
0.001-1 |
0.5-30 |
1-20 |
0.25% |
FTm-K |
290 |
0.0001-30 |
50-500 |
200-5000 |
0.15% |
m = vnější průměr v setinách palce (25 = 0.25 inch); m = 25, 30, 37, 44, 50, 68, 80, 106, 200, ...
Pramet Šumperk
ferity Fonox
Materiály H jsou vodivé.
| | Barva | f [MHz] | µr |
N01P NiZn ferity |
|
růžová |
<250 |
11 |
N01 |
|
červená (rumělka) |
30-100 |
10 |
N02 |
|
světle zelené |
10-60 |
20 |
N05 |
|
tmavě modrá |
6-30 |
50 |
N1 |
|
žlutá |
1.5-10 |
120 |
N2 |
|
tmavě zelená |
0.2-2 |
200 |
H6 MnZn ferity |
|
černá |
0.2-1.6 |
600 |
H10 |
- |
bez označení |
<0.3 |
1300 |
H12 |
|
světle modrá |
<0.6 |
1260 |
H18 |
|
fialová |
0.2 |
1800 |
H20 |
|
šedá |
<0.1 |
2000 |
H22 |
|
oranžová |
<0.1 |
2200 |
Ferroxcube
objednávat lze z TME
| Barva | f [MHz] | µr |
4C65 NiZn ferit |
bílá |
cca 1-50MHz |
125 |
Srovnatelné materiály
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)
Toroidy a dvouotvorová jádra v radioamatérské praxi - zdroj
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