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5. Ɇɨɞɟɥɢ ɧ ɥɨɝɨɜɵɯ ɤɨɦɩɨɧɟɧɬɨɜ

181

ɒɭɦɵ ɪɟɡɢɫɬɨɪɚ

Ɋɟɡɢɫɬɨɪɭ ɫɜɨɣɫɬɜɟɧɧɨ ɧɚɩɪɹɠɟɧɢɟ ɲɭɦɚ, ɤɨɬɨɪɨɟ ɜɨɡɧɢɤɚɟɬ ɢɡ-ɡɚ ɧɟ- ɭɩɨɪɹɞɨɱɟɧɧɨɝɨ ɬɟɩɥɨɜɨɝɨ ɞɜɢɠɟɧɢɹ ɧɨɫɢɬɟɥɟɣ ɡɚɪɹɞɚ. ɋɩɟɤɬɪɚɥɶɧɚɹ ɩɥɨɬ- ɧɨɫɬɶ ɬɟɩɥɨɜɨɝɨ ɲɭɦɨɜɨɝɨ ɬɨɤɚ ɪɟɡɢɫɬɨɪɚ ɪɚɫɫɱɢɬɵɜɚɟɬɫɹ ɩɨ ɮɨɪɦɭɥɟ ɇɚɣɤ- ɜɢɫɬɚ:

I NM

4 k T

ª

A

º

 

«

 

»

 

 

 

Rvalue

¬

Hz ¼

NM ɩɪɟɞɫɬɚɜɥɹɟɬ ɫɨɛɨɣ ɦɚɫɲɬɚɛɧɵɣ ɤɨɷɮɮɢɰɢɟɧɬ ɲɭɦɨɜɨɝɨ ɬɨɤɚ ɢ ɹɜ- ɥɹɟɬɫɹ ɦɨɞɟɥɶɧɵɦ ɩɚɪɚɦɟɬɪɨɦ. ɍɫɬɚɧɨɜɤɚ ɟɝɨ ɜ ɧɭɥɟɜɨɟ ɡɧɚɱɟɧɢɟ ɩɪɢɜɨɞɢɬ ɤ ɬɨɦɭ, ɱɬɨ ɜɫɟ ɪɟɡɢɫɬɨɪɵ, ɢɦɟɸɳɢɟ ɡɚɞɚɧɧɭɸ ɦɨɞɟɥɶ ɧɟ ɜɧɨɫɹɬ ɜɤɥɚɞ ɜ ɨɛ- ɳɢɣ ɲɭɦ ɫɯɟɦɵ.

ɉɪɢɦɟɪɵ ɡɚɞɚɧɢɹ ɪɟɡɢɫɬɨɪɨɜ ɢ ɢɯ ɚɬɪɢɛɭɬɨɜ ɫɦ. ɜ ɫɯɟɦɧɵɯ ɮɚɣɥɚɯ resistors.cir, resistor_freq.cir. ɢɡ ɩɚɩɤɢ Components\Passive Comp (book-mc.rar).

5.2.2. Ʉɨɧɞɟɧɫɚɬɨɪ (Capacitor)

Ɏɨɪɦɚɬ SPICE

C<ɢɦɹ> <ɭɡɟɥ +> <ɭɡɟɥ –> [ɢɦɹ ɦɨɞɟɥɢ]

+ [ɟɦɤɨɫɬɶ] [IC=<ɧɚɱɚɥɶɧɨɟ ɧɚɩɪɹɠɟɧɢɟ>]

ɉɪɢɦɟɪ:

C2 7 8 110P IC=2

Ɏɨɪɦɚɬ ɫɯɟɦ Micro-Cap (ɪɢɫ. 5.6)

x ɬɪɢɛɭɬ PART: <ɢɦɹ> — ɩɨɡɢɰɢɨɧɧɨɟ ɨɛɨɡɧɚɱɟɧɢɟ ɢɥɢ ɩɪɨ- ɢɡɜɨɥɶɧɨɟ ɢɦɹ ɤɨɦɩɨɧɟɧɬɚ.

ɉɪɢɦɟɪɵ: C5

XC16

Capacitor

C1

1U

C2

.1m

C3

1E-3

Ɋɢɫ. 5.5. ɍȽɈ

ɤɨɧɞɟɧɫɚɬɨɪɚ

xɬɪɢɛɭɬ CAPACITANCE: <ɟɦɤɨɫɬɶ> [IC=<ɧɚɱɚɥɶɧɨɟ ɧɚɩɪɹɠɟɧɢɟ>]

ȿɫɥɢ <ɟɦɤɨɫɬɶ> ɨɩɪɟɞɟɥɹɟɬɫɹ ɜ ɜɢɞɟ ɜɵɪɚɠɟɧɢɹ, ɫɨɞɟɪɠɚɳɟɝɨ ɩɟɪɟ- ɦɟɧɧɵɟ ɫɨɫɬɨɹɧɢɹ ɫɯɟɦɵ, ɬɨ ɷɬɨ ɜɵɪɚɠɟɧɢɟ ɢɫɩɨɥɶɡɭɟɬɫɹ ɬɨɥɶɤɨ ɩɪɢ ɚɧɚɥɢɡɟ ɜɨ ɜɪɟɦɟɧɧɨɣ ɨɛɥɚɫɬɢ. ɇɚɩɪɢɦɟɪ, ɜɵɪɚɠɟɧɢɟ, ɡɚɩɢɫɚɧɧɨɟ ɜ ɩɨɡɢɰɢɢ CAPACITANCE 1n+V(10)*2n, ɫɨɞɟɪɠɚɳɟɟ ɡɧɚɱɟɧɢɟ ɩɨɬɟɧɰɢɚɥɚ ɭɡɥɚ 10, ɛɭ- ɞɟɬ ɢɫɩɨɥɶɡɨɜɚɧɨ ɩɪɢ ɚɧɚɥɢɡɟ ɩɟɪɟɯɨɞɧɵɯ ɩɪɨɰɟɫɫɨɜ, ɩɪɢ ɪɚɫɱɟɬɟ ɪɟɠɢɦɚ ɩɨ ɩɨɫɬɨɹɧɧɨɦɭ ɬɨɤɭ ɩɟɪɟɞ ɜɵɩɨɥɧɟɧɢɟɦ ɦɚɥɨɫɢɝɧɚɥɶɧɨɝɨ ɱɚɫɬɨɬɧɨɝɨ ɚɧɚɥɢ- ɡɚ (AC), ɢ ɩɪɢ ɪɚɫɱɟɬɟ ɩɟɪɟɞɚɬɨɱɧɵɯ ɯɚɪɚɤɬɟɪɢɫɬɢɤ ɩɨ ɩɨɫɬɨɹɧɧɨɦɭ ɬɨɤɭ (DC).

ȼ ɪɟɠɢɦɟ ɦɚɥɨɫɢɝɧɚɥɶɧɨɝɨ ɱɚɫɬɨɬɧɨɝɨ ɚɧɚɥɢɡɚ (AC) ɡɚɜɢɫɢɦɨɫɬɶ ɪɚɫ- ɫɦɚɬɪɢɜɚɟɦɨɣ ɟɦɤɨɫɬɢ ɨɬ ɩɨɬɟɧɰɢɚɥɚ V(10) ɧɟ ɩɪɢɧɢɦɚɟɬɫɹ ɜɨ ɜɧɢɦɚɧɢɟ. ȿɫ- ɥɢ ɜ ɪɚɛɨɱɟɣ ɬɨɱɤɟ ɩɨ ɩɨɫɬɨɹɧɧɨɦɭ ɬɨɤɭ ɡɧɚɱɟɧɢɟ ɩɨɬɟɧɰɢɚɥɚ ɭɡɥɚ 10 ɨɤɚɡɚ- ɥɨɫɶ ɪɚɜɧɵɦ 2ȼ, ɬɨ ɟɦɤɨɫɬɶ ɪɚɫɫɦɚɬɪɢɜɚɟɦɨɝɨ ɤɨɧɞɟɧɫɚɬɨɪɚ ɜɨ ɜɪɟɦɹ ɩɪɨ- ɜɟɞɟɧɢɹ ɱɚɫɬɨɬɧɨɝɨ ɚɧɚɥɢɡɚ ɛɭɞɟɬ ɪɚɜɧɨɣ 1n+2*2n=5n.

IC=<ɧɚɱɚɥɶɧɨɟ ɧɚɩɪɹɠɟɧɢɟ> — ɩɪɢɫɜɚɢɜɚɟɬ ɧɚɱɚɥɶɧɨɟ ɡɧɚɱɟɧɢɟ ɧɚɩɪɹ- ɠɟɧɢɸ ɧɚ ɤɨɧɞɟɧɫɚɬɨɪɟ.

ɉɪɢɦɟɪɵ: 1U

110P IC=3

182

ɉɪɨɝɪ ɦɦ ɫɯɟɦɨɬɟɯɧɢɱɟɫɤɨɝɨ ɦɨɞɟɥɢɪɨɜ ɧɢɹ Micro-Cap. ȼɟɪɫɢɢ 9, 10

50U*(1+V(6)/100)

1N/(1+V(C1)^2)

x ɬɪɢɛɭɬ CHARGE: [ɡɚɪɹɞ] ɉɪɢɦɟɪ:

ATAN(V(C1))

ȿɫɥɢ ɩɨɥɟ ɚɬɪɢɛɭɬɚ CHARGE [ɡɚɪɹɞ] ɡɚɩɨɥɧɹɟɬɫɹ, ɬɨ ɨɧɨ ɞɨɥɠɧɨ ɛɵɬɶ ɜɵɪɚɠɟɧɢɟɦ, ɜɤɥɸɱɚɸɳɟɦ ɩɟɪɟɦɟɧɧɵɟ ɫɨɫɬɨɹɧɢɹ ɫɯɟɦɵ, ɬɚɤɢɟ ɤɚɤ, ɧɚɩɪɢ- ɦɟɪ, ɧɚɩɪɹɠɟɧɢɟ ɧɚ ɤɨɧɞɟɧɫɚɬɨɪɟ ɢ ɞɪɭɝɢɟ, ɜɨɡɦɨɠɧɨ ɫɢɦɜɨɥɶɧɵɟ ɩɟɪɟɦɟɧ- ɧɵɟ, ɨɩɪɟɞɟɥɟɧɧɵɟ ɞɢɪɟɤɬɢɜɚɦɢ (.define ɢɥɢ .param).

Ɋɢɫ. 5.6. Ɉɤɧɨ ɡɚɞɚɧɢɹ ɩɚɪɚɦɟɬɪɨɜ ɤɨɧɞɟɧɫɚɬɨɪɚ

ɉɪɚɜɢɥɚ ɢɫɩɨɥɶɡɨɜɚɧɢɹ ɜɵɪɚɠɟɧɢɣ ɜ ɩɨɥɹɯ ɚɬɪɢɛɭɬɨɜ CHARGE ɢ

CAPACITANCE

1)Ɇɨɠɟɬ ɛɵɬɶ ɢɫɩɨɥɶɡɨɜɚɧ ɥɸɛɨɣ ɢɡ ɚɬɪɢɛɭɬɨɜ [ɟɦɤɨɫɬɶ] ɢɥɢ [ɡɚɪɹɞ].

2)ȿɫɥɢ ɡɚɩɨɥɧɟɧɵ ɩɨɥɹ ɨɛɨɢɯ ɚɬɪɢɛɭɬɨɜ ɢ [ɟɦɤɨɫɬɶ] ɢ [ɡɚɪɹɞ], ɩɨɥɶɡɨɜɚ- ɬɟɥɶ ɞɨɥɠɟɧ ɝɚɪɚɧɬɢɪɨɜɚɬɶ, ɱɬɨ [ɟɦɤɨɫɬɶ] — ɷɬɨ ɩɪɨɢɡɜɨɞɧɚɹ ɨɬ [ɡɚɪɹɞɚ] ɩɨ ɧɚɩɪɹɠɟɧɢɸ ɧɚ ɤɨɧɞɟɧɫɚɬɨɪɟ, ɬ.ɟ. [ɟɦɤɨɫɬɶ]=d([ɡɚɪɹɞ])/dV.

3)ȿɫɥɢ ɚɬɪɢɛɭɬ [ɟɦɤɨɫɬɶ] ɧɟ ɡɚɞɚɧ, ɚ ɚɬɪɢɛɭɬ [ɡɚɪɹɞ] ɡɚɞɚɧ, Micro-Cap

ɫɨɡɞɚɫɬ ɜɵɪɚɠɟɧɢɟ ɞɥɹ ɜɵɱɢɫɥɟɧɢɹ ɟɦɤɨɫɬɢ ɩɭɬɟɦ ɜɡɹɬɢɹ ɩɪɨɢɡɜɨɞɧɨɣ ɨɬ ɡɚɪɹɞɚ ɩɨ ɧɚɩɪɹɠɟɧɢɸ: C=dQ/dV.

4)ȿɫɥɢ [ɟɦɤɨɫɬɶ] ɡɚɞɚɟɬɫɹ ɜ ɜɢɞɟ ɜɵɪɚɠɟɧɢɹ C(V), ɢ [ɡɚɪɹɞ] ɧɟ ɨɩɪɟɞɟɥɹ- ɟɬɫɹ, Micro-Cap ɫɨɡɞɚɟɬ ɷɤɜɢɜɚɥɟɧɬɧɭɸ ɫɯɟɦɭ, ɫɨɞɟɪɠɚɳɭɸ ɢɫɬɨɱɧɢɤ ɬɨɤɚ ɜɟ- ɥɢɱɢɧɨɣ C(V)*DDT(V). ȼ ɷɬɨɦ ɫɥɭɱɚɟ, ɡɚɪɹɞ ɤɨɧɞɟɧɫɚɬɨɪɚ ɜɫɟɝɞɚ ɛɭɞɟɬ ɪɚɜɟɧ ɧɭɥɸ. ȼɨ ɜɫɟɯ ɞɪɭɝɢɯ ɫɥɭɱɚɹɯ, ɩɟɪɟɦɟɧɧɚɹ ɡɚɪɹɞɚ ɤɨɧɞɟɧɫɚɬɨɪɚ ɋharge ɞɨɫ- ɬɭɩɧɚ.

5)ȿɫɥɢ [ɡɚɪɹɞ] ɨɩɪɟɞɟɥɹɟɬɫɹ, ɜɵɪɚɠɟɧɢɟ ɞɥɹ ɧɟɝɨ ɞɨɥɠɧɨ ɜɤɥɸɱɚɬɶ ɧɚ- ɩɪɹɠɟɧɢɟ ɧɚ ɤɨɧɞɟɧɫɚɬɨɪɟ. Ⱦɚɠɟ ɞɥɹ ɩɨɫɬɨɹɧɧɨɣ ɟɦɤɨɫɬɢ, Q(C)=C*V(C).

6)ȿɫɥɢ [ɟɦɤɨɫɬɶ] ɢɥɢ [ɡɚɪɹɞ] ɞɚɸɬɫɹ ɜ ɜɢɞɟ ɜɵɪɚɠɟɧɢɣ, ɡɚɜɢɫɹɳɢɯ ɨɬ ɜɪɟɦɟɧɢ, ɚɬɪɢɛɭɬ MODEL ɢɝɧɨɪɢɪɭɟɬɫɹ. ȿɦɤɨɫɬɶ ɢ ɡɚɪɹɞ ɨɩɪɟɞɟɥɹɸɬɫɹ ɢɫ-

5. Ɇɨɞɟɥɢ ɧ ɥɨɝɨɜɵɯ ɤɨɦɩɨɧɟɧɬɨɜ

183

ɤɥɸɱɢɬɟɥɶɧɨ ɜɵɪɚɠɟɧɢɹɦɢ ɢ ɧɚ ɧɢɯ ɧɟ ɨɤɚɡɵɜɚɸɬ ɧɢɤɚɤɨɝɨ ɜɥɢɹɧɢɹ ɦɨɞɟɥɶ- ɧɵɟ ɩɚɪɚɦɟɬɪɵ.

xɬɪɢɛɭɬ FREQ: [<F-ɜɵɪɚɠɟɧɢɟ>].

ȿɫɥɢ ɜ ɩɨɥɟ ɷɬɨɝɨ ɚɬɪɢɛɭɬɚ ɩɪɢɫɭɬɫɬɜɭɟɬ ɜɵɪɚɠɟɧɢɟ, ɬɨ ɨɧɨ ɩɪɢ ɩɪɨɜɟ- ɞɟɧɢɢ AC-ɚɧɚɥɢɡɚ ɡɚɦɟɧɹɟɬ ɡɧɚɱɟɧɢɟ ɟɦɤɨɫɬɢ, ɪɚɫɫɱɢɬɚɧɧɨɟ ɜ ɪɚɛɨɱɟɣ ɬɨɱɤɟ ɩɨ ɩɨɫɬɨɹɧɧɨɦɭ ɬɨɤɭ. Ɍ.ɟ. ɟɫɥɢ ɜ ɷɬɨɣ ɩɨɡɢɰɢɢ ɧɚɛɪɚɧɨ ɱɚɫɬɨɬɧɨ-ɡɚɜɢɫɢɦɨɟ ɜɵɪɚɠɟɧɢɟ, ɧɚɩɪɢɦɟɪ 1n+1E-9*V(1,2)*(1+10m*log(f)), ɬɨ ɨɧɨ ɩɪɢ ɩɪɨɜɟɞɟɧɢɢ ɦɚɥɨɫɢɝɧɚɥɶɧɨɝɨ ɱɚɫɬɨɬɧɨɝɨ ɚɧɚɥɢɡɚ (AC) ɡɚɦɟɧɹɟɬ ɡɧɚɱɟɧɢɟ ɚɬɪɢɛɭɬɚ CAPACITANCE. ɇɚɩɪɢɦɟɪ, ɜ ɜɵɲɟɩɪɢɜɟɞɟɧɧɨɦ ɜɵɪɚɠɟɧɢɢ ɞɥɹ ɚɬɪɢɛɭɬɚ FREQ F ɨɛɨɡɧɚɱɚɟɬ ɧɟɡɚɜɢɫɢɦɭɸ ɩɟɪɟɦɟɧɧɭɸ AC-ɚɧɚɥɢɡɚ ɱɚɫɬɨɬɭ, ɚ V(1,2) — ɦɚɥɨɫɢɝɧɚɥɶɧɨɟ ɧɚɩɪɹɠɟɧɢɟ ɦɟɠɞɭ ɭɡɥɚɦɢ 1 ɢ 2. ɉɪɢ ɪɚɫɱɟɬɟ ɩɟɪɟ- ɯɨɞɧɵɯ ɩɪɨɰɟɫɫɨɜ ɢ ɩɟɪɟɞɚɬɨɱɧɵɯ ɯɚɪɚɤɬɟɪɢɫɬɢɤ ɩɨ ɩɨɫɬɨɹɧɧɨɦɭ ɬɨɤɭ ɟɦ-

ɤɨɫɬɶ ɤɨɧɞɟɧɫɚɬɨɪɚ ɛɭɞɟɬ ɨɩɪɟɞɟɥɹɬɶɫɹ ɡɧɚɱɟɧɢɹɦɢ ɚɬɪɢɛɭɬɨɜ CAPACITANCE ɢ CHARGE, ɧɟɡɚɜɢɫɢɦɨ ɨɬ ɧɚɥɢɱɢɹ ɢ ɡɧɚɱɟɧɢɹ ɚɬɪɢɛɭɬɚ

FREQ.

xɬɪɢɛɭɬ MODEL: [ɢɦɹ ɦɨɞɟɥɢ]

xɇɚɡɧɚɱɟɧɢɟ ɨɫɬɚɥɶɧɵɯ ɚɬɪɢɛɭɬɨɜ COST, POWER, SHAPEGROUP,

PACKAGE ɚɧɚɥɨɝɢɱɧɨ ɪɚɧɟɟ ɪɚɫɫɦɨɬɪɟɧɧɵɦ ɞɥɹ ɪɟɡɢɫɬɨɪɚ (ɫɦ. 5.2.1). ɉɪɟɞɫɬɚɜɥɟɧɧɵɟ ɍȽɈ ɤɨɧɞɟɧɫɚɬɨɪɚ (ɪɢɫ. 5.5), ɩɨɤɚɡɵɜɚɸɬ ɪɚɡɧɨɜɢɞɧɨɫɬɢ

ɡɧɚɱɟɧɢɣ ɚɬɪɢɛɭɬɚ SHAPEGROUP: C1 – main; C2 – electrolytic; C3 – polarity.

Ɏɨɪɦɚɬ ɬɟɤɫɬɨɜɨɣ ɞɢɪɟɤɬɢɜɵ ɦɨɞɟɥɢ ɤɨɧɞɟɧɫɚɬɨɪɚ

.MODEL <ɢɦɹ ɦɨɞɟɥɢ> CAP ([ɩɚɪɚɦɟɬɪɵ ɦɨɞɟɥɢ])

ɉɚɪɚɦɟɬɪɵ ɦɨɞɟɥɢ ɤɨɧɞɟɧɫɚɬɨɪɚ ɩɪɢɜɟɞɟɧɵ ɜ ɬɚɛɥ. 5.2. ɉɪɢɦɟɪɵ:

.MODEL CMOD CAP(C=2.0 LOT=10% VC1=2E-3 VC2=.0015)

.MODEL CEL CAP(C=1.0 LOT=5% DEV=.5% T_ABS=37)

ȿɫɥɢ [ɢɦɹ ɦɨɞɟɥɢ] ɡɚɞɚɧɨ ɢ ɦɨɞɟɥɶɧɵɟ ɩɚɪɚɦɟɬɪɵ ɨɩɪɟɞɟɥɟɧɵ ɬɟɦ ɢɥɢ ɢɧɵɦ ɫɩɨɫɨɛɨɦ (ɜ ɛɢɛɥɢɨɬɟɤɟ ɢɥɢ ɬɟɤɫɬɨɜɨɣ ɞɢɪɟɤɬɢɜɟ), ɬɨ ɨɧɢ ɢɫɩɨɥɶɡɭɸɬɫɹ ɩɪɢ ɚɧɚɥɢɡɟ. Ɉɞɧɚɤɨ, ɟɫɥɢ ɩɪɢ ɷɬɨɦ ɨɩɪɟɞɟɥɟɧ ɨɞɢɧ ɢɡ ɚɬɪɢɛɭɬɨɜ [ɟɦɤɨɫɬɶ] ɢɥɢ [ɡɚɪɹɞ] ɜ ɜɢɞɟ ɜɵɪɚɠɟɧɢɣ, ɡɚɜɢɫɹɳɢɯ ɨɬ ɜɪɟɦɟɧɢ, ɬɨɝɞɚ ɡɧɚɱɟɧɢɟ ɚɬɪɢɛɭ- ɬɚ MODEL ɢɝɧɨɪɢɪɭɟɬɫɹ.

Ʉɜɚɞɪɚɬɢɱɧɚɹ ɡɚɜɢɫɢɦɨɫɬɶ ɟɦɤɨɫɬɢ ɨɬ ɧɚɩɪɹɠɟɧɢɹ

ȿɫɥɢ ɜ ɨɤɧɟ ɚɬɪɢɛɭɬɨɜ ɢɫɩɨɥɶɡɭɟɬɫɹ [ɢɦɹ ɦɨɞɟɥɢ], ɬɨ ɡɧɚɱɟɧɢɟ, ɡɚɩɢɫɚɧ- ɧɨɟ ɜ ɫɬɪɨɤɟ ɚɬɪɢɛɭɬɚ CAPACITANCE ɭɦɧɨɠɚɟɬɫɹ ɧɚ QF-ɮɚɤɬɨɪ ɞɥɹ ɜɵɱɢɫ- ɥɟɧɢɹ ɟɦɤɨɫɬɢ ɤɨɧɞɟɧɫɚɬɨɪɚ, ɡɚɜɢɫɹɳɟɣ ɨɬ ɧɚɩɪɹɠɟɧɢɹ ɧɚ ɟɝɨ ɜɵɜɨɞɚɯ:

QF = 1+ VC1 V + VC2 V2

ɗɬɚ ɜɨɡɦɨɠɧɨɫɬɶ ɨɫɬɚɜɥɟɧɚ ɜ ɩɪɨɝɪɚɦɦɟ Micro-Cap ɞɥɹ ɫɨɯɪɚɧɟɧɢɹ ɫɨ- ɜɦɟɫɬɢɦɨɫɬɢ ɫ ɜɟɪɫɢɟɣ ɹɡɵɤɚ SPICE 2G.

Ɍɟɦɩɟɪɚɬɭɪɧɚɹ ɡɚɜɢɫɢɦɨɫɬɶ ɟɦɤɨɫɬɢ

Ɍɟɦɩɟɪɚɬɭɪɧɚɹ ɡɚɜɢɫɢɦɨɫɬɶ ɟɦɤɨɫɬɢ ɩɨɞɨɛɧɚ ɬɟɦɩɟɪɚɬɭɪɧɨɣ ɡɚɜɢɫɢɦɨ- ɫɬɢ ɫɨɩɪɨɬɢɜɥɟɧɢɹ, ɡɚɞɚɟɬɫɹ ɡɧɚɱɟɧɢɹɦɢ 2-ɯ ɦɨɞɟɥɶɧɵɯ ɤɨɷɮɮɢɰɢɟɧɬɨɜ TC1 ɢ TC2. ȼ ɫɥɭɱɚɟ ɡɚɞɚɧɢɹ [ɢɦɟɧɢ ɦɨɞɟɥɢ] ɜ ɨɤɧɟ ɚɬɪɢɛɭɬɨɜ, <ɟɦɤɨɫɬɶ> ɜ ɫɬɪɨ-

184

ɉɪɨɝɪ ɦɦ ɫɯɟɦɨɬɟɯɧɢɱɟɫɤɨɝɨ ɦɨɞɟɥɢɪɨɜ ɧɢɹ Micro-Cap. ȼɟɪɫɢɢ 9, 10

ɤɟ ɚɬɪɢɛɭɬɚ CAPACITANCE ɞɨɦɧɨɠɚɟɬɫɹ ɧɚ ɡɧɚɱɟɧɢɟ TF-ɮɚɤɬɨɪɚ, ɤɨɬɨɪɵɣ ɜɵɱɢɫɥɹɟɬɫɹ ɩɨ ɮɨɪɦɭɥɟ:

TF = 1+TC1 (T-Tnom)+TC2 (T-Tnom)2

Ɍ ɚ ɛ ɥ ɢ ɰ ɚ 5 . 2 . ɉɚɪɚɦɟɬɪɵ ɦɨɞɟɥɢ ɤɨɧɞɟɧɫɚɬɨɪɚ

Ɉɛɨɡɧɚɱɟɧɢɟ

ɋɨɞɟɪɠɚɧɢɟ

Ɋɚɡɦɟɪɧɨɫɬɶ

Ɂɧɚɱɟɧɢɟ ɩɨ

 

 

 

ɭɦɨɥɱɚɧɢɸ

ɋ

Ɇɚɫɲɬɚɛɧɵɣ ɦɧɨɠɢɬɟɥɶ ɟɦɤɨɫɬɢ

1

LS

ɉɨɫɥɟɞɨɜɚɬɟɥɶɧɚɹ ɢɧɞɭɤɬɢɜɧɨɫɬɶ

Ƚɧ

0

 

 

 

 

RP

ɉɚɪɚɥɥɟɥɶɧɨɟ ɫɨɩɪɨɬɢɜɥɟɧɢɟ

Ɉɦ

f

 

 

 

 

RS

ɉɨɫɥɟɞɨɜɚɬɟɥɶɧɨɟ ɫɨɩɪɨɬɢɜɥɟɧɢɟ

Ɉɦ

0

 

 

 

 

VC1

Ʌɢɧɟɣɧɵɣ ɤɨɷɮɮɢɰɢɟɧɬ ɡɚɜɢɫɢɦɨ-

ȼ–1

0

 

ɫɬɢ ɨɬ ɧɚɩɪɹɠɟɧɢɹ

 

 

VC2

Ʉɜɚɞɪɚɬɢɱɧɵɣ ɤɨɷɮɮɢɰɢɟɧɬ ɡɚɜɢ-

ȼ–2

0

 

ɫɢɦɨɫɬɢ ɨɬ ɧɚɩɪɹɠɟɧɢɹ

 

 

Ɍɋ1

Ʌɢɧɟɣɧɵɣ ɬɟɦɩɟɪɚɬɭɪɧɵɣ ɤɨɷɮɮɢ-

–1

0

 

ɰɢɟɧɬ ɟɦɤɨɫɬɢ

 

 

Ɍɋ2

Ʉɜɚɞɪɚɬɢɱɧɵɣ ɬɟɦɩɟɪɚɬɭɪɧɵɣ ɤɨ-

–2

0

 

ɷɮɮɢɰɢɟɧɬ ɟɦɤɨɫɬɢ

 

 

T_MEASURED

Ɍɟɦɩɟɪɚɬɭɪɚ ɢɡɦɟɪɟɧɢɹ

 

 

 

 

T_ABS

ɛɫɨɥɸɬɧɚɹ ɬɟɦɩɟɪɚɬɭɪɚ

 

 

 

 

T_REL_GLOBAL

Ɉɬɧɨɫɢɬɟɥɶɧɚɹ ɬɟɦɩɟɪɚɬɭɪɚ

 

 

 

 

T_REL_LOCAL

Ɋɚɡɧɨɫɬɶ ɦɟɠɞɭ ɬɟɦɩɟɪɚɬɭɪɨɣ ɭɫɬ-

ɪɨɣɫɬɜɚ ɢ ɦɨɞɟɥɢ-ɩɪɨɬɨɬɢɩɚ (AKO)

 

 

 

Ɋɚɡɛɪɨɫ ɟɦɤɨɫɬɢ

Ɂɚɞɚɟɬɫɹ ɬɚɤ ɠɟ, ɤɚɤ ɢ ɪɚɡɛɪɨɫ ɫɨɩɪɨɬɢɜɥɟɧɢɹ ɜ ɦɨɞɟɥɶɧɨɣ ɫɬɪɨɤɟ ɫ ɩɨ- ɦɨɳɶɸ ɤɥɸɱɟɜɵɯ ɫɥɨɜ LOT ɢɥɢ DEV ɞɥɹ ɥɸɛɵɯ ɩɚɪɚɦɟɬɪɨɜ ɦɨɞɟɥɢ, ɡɚ ɢɫ- ɤɥɸɱɟɧɢɟɦ ɬɟɦɩɟɪɚɬɭɪɧɵɯ. ȼ ɜɵɱɢɫɥɟɧɢɢ ɡɧɚɱɟɧɢɹ ɟɦɤɨɫɬɢ ɭɱɢɬɵɜɚɟɬɫɹ ɞɨɦɧɨɠɟɧɢɟɦ ɧɚ MF-ɮɚɤɬɨɪ, ɜɵɱɢɫɥɹɟɦɵɣ ɩɨ ɮɨɪɦɭɥɟ:

ɆF=1 ± <ɪ ɡɛɪɨɫ ɜ ɩɪɨɰɟɧɬ ɯ DEV ɢɥɢ LOT>/100

Ɉɤɨɧɱɚɬɟɥɶɧɨɟ ɡɧɚɱɟɧɢɟ ɟɦɤɨɫɬɢ ɤɨɧɞɟɧɫɚɬɨɪɚ ɩɪɢ ɡɚɞɚɧɢɢ ɜ ɨɤɧɟ ɚɬɪɢ- ɛɭɬɨɜ [ɢɦɟɧɢ ɦɨɞɟɥɢ] ɋvalue (ɪɢɫ. 5.7) ɨɩɪɟɞɟɥɹɟɬɫɹ ɜɵɪɚɠɟɧɢɟɦ:

ɋvalue=<ɟɦɤɨɫɬɶ> C QF TF MF= =<ɟɦɤɨɫɬɶ> ɋ (1 +VC V+VC2 V2)[1+TC1(T-TNOM)+TC2(T-TNOM)2]MF.

ɒɭɦɵ ɤɨɧɞɟɧɫɚɬɨɪɚ

ȿɫɥɢ ɡɚɞɚɧɵ ɦɨɞɟɥɶɧɵɟ ɩɚɪɚɦɟɬɪɵ RS ɢ RP, ɬɨ ɭɤɚɡɚɧɧɵɟ ɪɟɡɢɫɬɨɪɵ ɪɚɫɫɦɚɬɪɢɜɚɸɬɫɹ ɤɚɤ ɢɫɬɨɱɧɢɤɢ ɬɟɩɥɨɜɨɝɨ ɲɭɦɚ:

IRS =

4 k T

;

IRP =

4 k T

.

 

 

 

RS

 

RP

5. Ɇɨɞɟɥɢ ɧ ɥɨɝɨɜɵɯ ɤɨɦɩɨɧɟɧɬɨɜ

185

Ɋɢɫ. 5.7. Ɇɨɞɟɥɶ ɤɨɧɞɟɧɫɚɬɨɪɚ

5.2.3. Ʉɚɬɭɲɤɚ ɢɧɞɭɤɬɢɜɧɨɫɬɢ (Inductor)

Ɏɨɪɦɚɬ SPICE

L<ɢɦɹ> <ɭɡɟɥ +> <ɭɡɟɥ –> [ɢɦɹ ɦɨɞɟɥɢ] + [ɢɧɞɭɤɬɢɜɧɨɫɬɶ] [IC=<ɧɚɱɚɥɶɧɵɣ ɬɨɤ>]

ɉɪɢɦɟɪɵ: L1 2 3 1U

L2 7 8 110P IC=2

Ɏɨɪɦɚɬ ɫɯɟɦ Micro-Cap (ɪɢɫ. 5.9)

x ɬɪɢɛɭɬ PART: <ɢɦɹ> ɉɪɢɦɟɪɵ: L5, L1

L1Inductor L2

30U

 

1E-4

 

Ɋɢɫ. 5.8. ɍȽɈ ɢɧɞɭɤɬɢɜɧɨɫɬɢ

xɬɪɢɛɭɬ INDUCTANCE <ɢɧɞɭɤɬɢɜɧɨɫɬɶ> [Iɋ=<ɧɚɱɚɥɶɧɵɣ ɬɨɤ>]

ȿɫɥɢ <ɢɧɞɭɤɬɢɜɧɨɫɬɶ> ɨɩɪɟɞɟɥɹɟɬɫɹ ɜ ɜɢɞɟ ɜɵɪɚɠɟɧɢɹ, ɫɨɞɟɪɠɚɳɟɝɨ ɩɟɪɟɦɟɧɧɵɟ ɫɨɫɬɨɹɧɢɹ ɫɯɟɦɵ, ɬɨ ɨɧɨ ɢɫɩɨɥɶɡɭɟɬɫɹ ɬɨɥɶɤɨ ɩɪɢ ɚɧɚɥɢɡɟ ɜɨ ɜɪɟɦɟɧɧɨɣ ɨɛɥɚɫɬɢ. ɇɚɩɪɢɦɟɪ, ɜɵɪɚɠɟɧɢɟ, ɡɚɩɢɫɚɧɧɨɟ ɜ ɩɨɡɢɰɢɢ INDUCTANCE 1U/(1+I(L2)^2), ɫɨɞɟɪɠɚɳɟɟ ɬɨɤ ɤɚɬɭɲɤɢ L2, ɛɭɞɟɬ ɢɫɩɨɥɶɡɨɜɚ- ɧɨ ɩɪɢ ɚɧɚɥɢɡɟ ɩɟɪɟɯɨɞɧɵɯ ɩɪɨɰɟɫɫɨɜ, ɩɪɢ ɪɚɫɱɟɬɟ ɪɟɠɢɦɚ ɩɨ ɩɨɫɬɨɹɧɧɨɦɭ ɬɨɤɭ ɩɟɪɟɞ ɜɵɩɨɥɧɟɧɢɟɦ ɦɚɥɨɫɢɝɧɚɥɶɧɨɝɨ ɱɚɫɬɨɬɧɨɝɨ ɚɧɚɥɢɡɚ (AC), ɢ ɩɪɢ ɪɚɫɱɟɬɟ ɩɟɪɟɞɚɬɨɱɧɵɯ ɯɚɪɚɤɬɟɪɢɫɬɢɤ ɩɨ ɩɨɫɬɨɹɧɧɨɦɭ ɬɨɤɭ (DC). ȼ ɪɟɠɢɦɟ ɦɚɥɨɫɢɝɧɚɥɶɧɨɝɨ ɱɚɫɬɨɬɧɨɝɨ ɚɧɚɥɢɡɚ (AC) ɡɚɜɢɫɢɦɨɫɬɶ ɪɚɫɫɦɚɬɪɢɜɚɟɦɨɣ ɢɧ- ɞɭɤɬɢɜɧɨɫɬɢ ɨɬ ɬɨɤɚ I(L2) ɧɟ ɩɪɢɧɢɦɚɟɬɫɹ ɜɨ ɜɧɢɦɚɧɢɟ. ȿɫɥɢ ɜ ɪɚɛɨɱɟɣ ɬɨɱɤɟ ɩɨ ɩɨɫɬɨɹɧɧɨɦɭ ɬɨɤɭ ɡɧɚɱɟɧɢɟ ɬɨɤɚ ɱɟɪɟɡ ɤɚɬɭɲɤɭ L2 ɨɤɚɡɚɥɨɫɶ ɪɚɜɧɵɦ 2A, ɬɨ

ɪɚɫɫɦɚɬɪɢɜɚɟɦɚɹ ɢɧɞɭɤɬɢɜɧɨɫɬɶ ɜɨ ɜɪɟɦɹ ɩɪɨɜɟɞɟɧɢɹ ɱɚɫɬɨɬɧɨɝɨ ɚɧɚɥɢɡɚ ɛɭɞɟɬ ɩɪɢɧɹɬɚ ɪɚɜɧɨɣ 1U/(1+2^2)=0.2U.

IC=<ɧɚɱɚɥɶɧɵɣ ɬɨɤ> — ɩɪɢɫɜɚɢɜɚɟɬ ɧɚɱɚɥɶɧɨɟ ɡɧɚɱɟɧɢɟ ɬɨɤɭ ɱɟɪɟɡ ɤɚ- ɬɭɲɤɭ ɜ ɪɟɠɢɦɟ ɚɧɚɥɢɡɚ ɩɟɪɟɯɨɞɧɵɯ ɩɪɨɰɟɫɫɨɜ, ɟɫɥɢ ɮɥɚɠɨɤ Operating Point ɫɛɪɨɲɟɧ.

ɉɪɢɦɟɪɵ: 1U

110U IC=3 1U/(1+I(L2)^2)

x ɬɪɢɛɭɬ FLUX: [ɦɚɝɧɢɬɧɵɣ ɩɨɬɨɤ]

ɉɪɢɦɟɪ:

1u*ATAN(I(L2))

ɉɪɢ ɡɚɞɚɧɢɢ ɚɬɪɢɛɭɬɚ FLUX ɞɨɥɠɧɨ ɛɵɬɶ ɭɤɚɡɚɧɨ ɜɵɪɚɠɟɧɢɟ, ɜɤɥɸɱɚɸ- ɳɟɟ ɩɟɪɟɦɟɧɧɵɟ ɫɨɫɬɨɹɧɢɹ ɤɚɬɭɲɤɢ, ɬɚɤɢɟ ɤɚɤ ɬɨɤ ɱɟɪɟɡ ɧɟɟ ɢ ɜɨɡɦɨɠɧɨ, ɞɪɭ- ɝɢɟ ɫɢɦɜɨɥɶɧɵɟ ɩɟɪɟɦɟɧɧɵɟ, ɨɩɪɟɞɟɥɹɟɦɵɟ ɞɢɪɟɤɬɢɜɚɦɢ .define ɢɥɢ .param.

186

ɉɪɨɝɪ ɦɦ ɫɯɟɦɨɬɟɯɧɢɱɟɫɤɨɝɨ ɦɨɞɟɥɢɪɨɜ ɧɢɹ Micro-Cap. ȼɟɪɫɢɢ 9, 10

Ɋɢɫ. 5.9. Ɉɤɧɨ ɡɚɞɚɧɢɹ ɩɚɪɚɦɟɬɪɨɜ ɤɚɬɭɲɤɢ ɢɧɞɭɤɬɢɜɧɨɫɬɢ

ɉɪɚɜɢɥɚ ɢɫɩɨɥɶɡɨɜɚɧɢɹ ɜɵɪɚɠɟɧɢɣ ɞɥɹ ɚɬɪɢɛɭɬɨɜ FLUX ɢ

INDUCTANCE

1)Ⱦɨɥɠɧɨ ɛɵɬɶ ɡɚɞɚɧɨ ɯɨɬɹ ɛɵ ɨɞɧɨ ɜɵɪɚɠɟɧɢɟ ɥɢɛɨ [ɢɧɞɭɤɬɢɜɧɨɫɬɢ]

ɥɢɛɨ ɞɥɹ [ɦɚɝɧɢɬɧɨɝɨ ɩɨɬɨɤɚ].

2)ȿɫɥɢ ɡɚɞɚɧɵ ɨɛɚ ɡɧɚɱɟɧɢɹ ɤɚɤ [ɢɧɞɭɤɬɢɜɧɨɫɬɢ], ɬɚɤ ɢ [ɦɚɝɧɢɬɧɨɝɨ ɩɨɬɨɤɚ] ɜ ɜɢɞɟ ɜɵɪɚɠɟɧɢɣ, ɡɚɜɢɫɹɳɢɯ ɨɬ ɜɪɟɦɟɧɢ, ɩɨɥɶɡɨɜɚɬɟɥɶ ɞɨɥɠɟɧ ɝɚ- ɪɚɧɬɢɪɨɜɚɬɶ, ɱɬɨ [ɢɧɞɭɤɬɢɜɧɨɫɬɶ] ɹɜɥɹɟɬɫɹ ɩɪɨɢɡɜɨɞɧɨɣ [ɦɚɝɧɢɬɧɨɝɨ ɩɨɬɨ-

ɤɚ] ɩɨ ɬɨɤɭ ɱɟɪɟɡ ɤɚɬɭɲɤɭ: [ɢɧɞɭɤɬɢɜɧɨɫɬɶ]=d([ɦɚɝɧɢɬɧɵɣ ɩɨɬɨɤ])/dI

3)ȿɫɥɢ [ɢɧɞɭɤɬɢɜɧɨɫɬɶ] ɧɟ ɡɚɞɚɟɬɫɹ, ɚ [ɦɚɝɧɢɬɧɵɣ ɩɨɬɨɤ] ɩɪɟɞɫɬɚɜɥɹɟɬ ɫɨ- ɛɨɣ ɜɵɪɚɠɟɧɢɟ, ɡɚɜɢɫɹɳɟɟ ɨɬ ɜɪɟɦɟɧɢ, Micro-Cap ɫɨɡɞɚɫɬ ɜɵɪɚɠɟɧɢɟ ɞɥɹ ɢɧɞɭɤ- ɬɢɜɧɨɫɬɢ ɩɭɬɟɦ ɞɢɮɮɟɪɟɧɰɢɪɨɜɚɧɢɹ ɦɚɝɧɢɬɧɨɝɨ ɩɨɬɨɤɚ ɩɨ ɬɨɤɭ ɤɚɬɭɲɤɢ: L=dX/dI.

4)ȿɫɥɢ [ɢɧɞɭɤɬɢɜɧɨɫɬɶ] ɹɜɥɹɟɬɫɹ ɜɵɪɚɠɟɧɢɟɦ, ɡɚɜɢɫɹɳɢɦ ɨɬ ɜɪɟɦɟɧɢ,

ɚ[ɦɚɝɧɢɬɧɵɣ ɩɨɬɨɤ] ɧɟ ɡɚɞɚɟɬɫɹ, Micro-Cap ɫɨɡɞɚɫɬ ɷɤɜɢɜɚɥɟɧɬɧɭɸ ɫɯɟɦɭ ɞɥɹ ɤɚɬɭɲɤɢ, ɫɨɫɬɨɹɳɭɸ ɢɡ ɢɫɬɨɱɧɢɤɚ ɷɞɫ ɜɟɥɢɱɢɧɨɣ L(I)*DDT(I).

5)ȿɫɥɢ [ɦɚɝɧɢɬɧɵɣ ɩɨɬɨɤ] ɩɪɟɞɫɬɚɜɥɹɟɬ ɫɨɛɨɣ ɜɵɪɚɠɟɧɢɟ, ɡɚɜɢɫɹɳɟɟ ɨɬ ɜɪɟɦɟɧɢ, ɬɨ ɨɧɨ ɞɨɥɠɧɨ ɜɤɥɸɱɚɬɶ ɜ ɫɟɛɹ ɬɨɤ ɱɟɪɟɡ ɤɚɬɭɲɤɭ. Ⱦɚɠɟ ɞɥɹ ɥɢ- ɧɟɣɧɨɣ ɤɚɬɭɲɤɢ X(L)=L*I(L).

6)ȿɫɥɢ [ɢɧɞɭɤɬɢɜɧɨɫɬɶ] ɢɥɢ [ɩɨɬɨɤ] ɡɚɞɚɧɵ ɜɵɪɚɠɟɧɢɟɦ ɜɨ ɜɪɟɦɟɧɧɨɣ ɨɛɥɚɫɬɢ, ɚɬɪɢɛɭɬ MODEL ɧɟ ɩɪɢɧɢɦɚɟɬɫɹ ɜɨ ɜɧɢɦɚɧɢɟ ɢ ɤɚɬɭɲɤɚ ɧɟ ɦɨɠɟɬ ɛɵɬɶ ɫɜɹɡɚɧɚ ɫ K-ɫɟɪɞɟɱɧɢɤɨɦ, ɬ.ɟ. ɨɛɥɚɞɚɬɶ ɜɡɚɢɦɧɨɣ ɢɧɞɭɤɬɢɜɧɨɫɬɶɸ. ɂɧ- ɞɭɤɬɢɜɧɨɫɬɶ ɢ ɩɨɬɨɤ ɨɩɪɟɞɟɥɹɸɬɫɹ ɢɫɤɥɸɱɢɬɟɥɶɧɨ ɜɵɪɚɠɟɧɢɹɦɢ ɜɨ ɜɪɟɦɟɧ- ɧɨɣ ɨɛɥɚɫɬɢ ɢ ɧɚ ɧɢɯ ɧɟ ɦɨɝɭɬ ɨɤɚɡɵɜɚɬɶ ɜɥɢɹɧɢɟ ɦɨɞɟɥɶɧɵɟ ɩɚɪɚɦɟɬɪɵ.

ȼɵɪɚɠɟɧɢɟ, ɡɚɜɢɫɹɳɟɟ ɨɬ ɜɪɟɦɟɧɢ, ɩɪɟɞɫɬɚɜɥɹɟɬ ɫɨɛɨɣ ɥɸɛɨɟ ɜɵɪɚɠɟ- ɧɢɟ, ɢɫɩɨɥɶɡɭɸɳɟɟ ɩɟɪɟɦɟɧɧɵɟ, ɤɨɬɨɪɵɟ ɢɡɦɟɧɹɸɬɫɹ ɜ ɬɟɱɟɧɢɟ ɩɪɨɜɟɞɟɧɢɹ ɦɨɞɟɥɢɪɨɜɚɧɢɹ, ɬɚɤɢɟ ɤɚɤ V(L1) ɢɥɢ I(L2).

x ɬɪɢɛɭɬ FREQ: [<F-ɜɵɪɚɠɟɧɢɟ>].

ɉɪɢɦɟɪ: 1.2mh+5m*(1+log(F))

5. Ɇɨɞɟɥɢ ɧ ɥɨɝɨɜɵɯ ɤɨɦɩɨɧɟɧɬɨɜ

187

ȿɫɥɢ ɜ ɩɨɥɟ ɷɬɨɝɨ ɚɬɪɢɛɭɬɚ ɩɪɢɫɭɬɫɬɜɭɟɬ ɜɵɪɚɠɟɧɢɟ, ɬɨ ɨɧɨ ɩɪɢ ɩɪɨɜɟ- ɞɟɧɢɢ AC-ɚɧɚɥɢɡɚ ɡɚɦɟɧɹɟɬ ɡɧɚɱɟɧɢɟ ɢɧɞɭɤɬɢɜɧɨɫɬɢ, ɪɚɫɫɱɢɬɚɧɧɨɟ ɜ ɪɚɛɨ-

ɱɟɣ ɬɨɱɤɟ ɩɨ ɩɨɫɬɨɹɧɧɨɦɭ ɬɨɤɭ ɫ ɩɨɦɨɳɶɸ ɜɵɪɚɠɟɧɢɹ ɜ ɩɨɥɟ ɚɬɪɢɛɭɬɚ INDUCTANCE. Ɍ.ɟ. ɟɫɥɢ ɜ ɷɬɨɣ ɩɨɡɢɰɢɢ ɧɚɛɪɚɧɨ ɱɚɫɬɨɬɧɨ-ɡɚɜɢɫɢɦɨɟ ɜɵɪɚ- ɠɟɧɢɟ, ɧɚɩɪɢɦɟɪ 10mh+I(L1)*(1+1E-9*f)/5m, ɬɨ ɨɧɨ ɩɪɢ ɩɪɨɜɟɞɟɧɢɢ ɦɚɥɨɫɢɝ- ɧɚɥɶɧɨɝɨ ɱɚɫɬɨɬɧɨɝɨ ɚɧɚɥɢɡɚ (AC) ɡɚɦɟɧɹɟɬ ɡɧɚɱɟɧɢɟ ɚɬɪɢɛɭɬɚ INDUCTANCE. ɇɚɩɪɢɦɟɪ, ɜ ɜɵɲɟɩɪɢɜɟɞɟɧɧɨɦ ɜɵɪɚɠɟɧɢɢ ɞɥɹ ɚɬɪɢɛɭɬɚ FREQ F ɨɛɨɡɧɚɱɚɟɬ ɧɟɡɚɜɢɫɢɦɭɸ ɩɟɪɟɦɟɧɧɭɸ AC-ɚɧɚɥɢɡɚ ɱɚɫɬɨɬɭ, ɚ I(L1) — ɦɚɥɨɫɢɝɧɚɥɶɧɵɣ ɬɨɤ ɱɟɪɟɡ ɤɚɬɭɲɤɭ L1. ɉɪɢ ɪɚɫɱɟɬɟ ɩɟɪɟɯɨɞɧɵɯ ɩɪɨ-

ɰɟɫɫɨɜ ɢ ɩɟɪɟɞɚɬɨɱɧɵɯ ɯɚɪɚɤɬɟɪɢɫɬɢɤ ɩɨ ɩɨɫɬɨɹɧɧɨɦɭ ɬɨɤɭ ɢɧɞɭɤɬɢɜɧɨɫɬɶ ɛɭɞɟɬ ɪɚɜɧɚ ɡɧɚɱɟɧɢɸ ɚɬɪɢɛɭɬɚ INDUCTANCE ɧɟɡɚɜɢɫɢɦɨ ɨɬ ɧɚɥɢɱɢɹ ɢ ɡɧɚ- ɱɟɧɢɹ ɚɬɪɢɛɭɬɚ FREQ.

xɬɪɢɛɭɬ MODEL: [ɢɦɹ ɦɨɞɟɥɢ]

xɇɚɡɧɚɱɟɧɢɟ ɨɫɬɚɥɶɧɵɯ ɚɬɪɢɛɭɬɨɜ COST, POWER, SHAPEGROUP, PACKAGE ɚɧɚɥɨɝɢɱɧɨ ɪɚɧɟɟ ɪɚɫɫɦɨɬɪɟɧɧɵɦ ɞɥɹ ɪɟɡɢɫɬɨɪɚ (ɫɦ. 5.2.1). ɉɪɟɞɫɬɚɜɥɟɧɧɵɟ ɍȽɈ ɤɚɬɭɲɤɢ ɢɧɞɭɤɬɢɜɧɨɫɬɢ (ɪɢɫ. 5.8), ɩɨɤɚɡɵɜɚɸɬ ɪɚɡ-

ɧɨɜɢɞɧɨɫɬɢ ɡɧɚɱɟɧɢɣ ɚɬɪɢɛɭɬɚ SHAPEGROUP: L1 – main; L2 – Rus (ɞɨɪɚɛɨɬɤɚ ɚɜɬɨɪɨɜ).

Ɏɨɪɦɚɬ ɬɟɤɫɬɨɜɨɣ ɞɢɪɟɤɬɢɜɵ ɦɨɞɟɥɢ ɢɧɞɭɤɬɢɜɧɨɫɬɢ

.MODEL <ɢɦɹ ɦɨɞɟɥɢ> IND ([ɩɚɪɚɦɟɬɪɵ ɦɨɞɟɥɢ])

ɉɪɢɦɟɪɵ:

.MODEL LMOD IND (L=2.0 LOT=10% IL1=2E-3 IL2=.0015)

.MODEL L_W IND (L=1.0 LOT=5% DEV=.5% T_ABS=37)

ɉɚɪɚɦɟɬɪɵ ɦɨɞɟɥɢ ɢɧɞɭɤɬɢɜɧɨɫɬɢ ɩɪɢɜɟɞɟɧɵ ɜ ɬɚɛɥ. 5.3.

ȿɫɥɢ ɜ ɨɤɧɟ ɚɬɪɢɛɭɬɨɜ ɤɚɬɭɲɤɢ [ɢɦɹ ɦɨɞɟɥɢ] ɨɩɭɳɟɧɨ, ɬɨ ɟɺ ɢɧɞɭɤɬɢɜ- ɧɨɫɬɶ ɪɚɜɧɚ <ɢɧɞɭɤɬɢɜɧɨɫɬɢ> ɜ Ƚɟɧɪɢ, ɡɚɩɢɫɚɧɧɨɦɭ ɜ ɫɬɪɨɤɟ ɚɬɪɢɛɭɬɨɜ INDUCTANCE. ȼ ɩɪɨɬɢɜɧɨɦ ɫɥɭɱɚɟ ɢɧɞɭɤɬɢɜɧɨɫɬɶ ɜɵɱɢɫɥɹɟɬɫɹ ɭɦɧɨɠɟɧɢɟɦ ɧɚ ɦɚɫɲɬɚɛɧɵɣ ɤɨɷɮɮɢɰɢɟɧɬ ɢɧɞɭɤɬɢɜɧɨɫɬɢ L ɢ ɧɚ ɤɨɷɮɮɢɰɢɟɧɬɵ ɮɚɤɬɨɪɨɜ, ɩɟɪɟɱɢɫɥɟɧɧɵɯ ɧɢɠɟ.

Ʉɜɚɞɪɚɬɢɱɧɚɹ ɡɚɜɢɫɢɦɨɫɬɶ ɢɧɞɭɤɬɢɜɧɨɫɬɢ ɨɬ ɬɨɤɚ

ȿɫɥɢ ɜ ɨɤɧɟ ɚɬɪɢɛɭɬɨɜ ɢɫɩɨɥɶɡɭɟɬɫɹ [ɢɦɹ ɦɨɞɟɥɢ], ɬɨ ɡɧɚɱɟɧɢɟ, ɡɚɩɢɫɚɧ- ɧɚɹ ɜ ɫɬɪɨɤɟ ɚɬɪɢɛɭɬɚ INDUCTANCE ɭɦɧɨɠɚɟɬɫɹ ɧɚ QF-ɮɚɤɬɨɪ ɞɥɹ ɜɵɱɢɫɥɟ- ɧɢɹ ɢɧɞɭɤɬɢɜɧɨɫɬɢ ɤɚɬɭɲɤɢ, ɡɚɜɢɫɹɳɟɣ ɨɬ ɬɨɤɚ ɜ ɧɟɣ:

QF = 1+ IL1 I + IL2 I2

ɗɬɚ ɜɨɡɦɨɠɧɨɫɬɶ ɨɫɬɚɜɥɟɧɚ ɜ ɩɪɨɝɪɚɦɦɟ Micro-Cap ɞɥɹ ɫɨɯɪɚɧɟɧɢɹ ɫɨ- ɜɦɟɫɬɢɦɨɫɬɢ ɫ ɜɟɪɫɢɟɣ ɹɡɵɤɚ SPICE 2G.

Ɍɟɦɩɟɪɚɬɭɪɧɚɹ ɡɚɜɢɫɢɦɨɫɬɶ ɢɧɞɭɤɬɢɜɧɨɫɬɢ

Ɍɟɦɩɟɪɚɬɭɪɧɚɹ ɡɚɜɢɫɢɦɨɫɬɶ ɢɧɞɭɤɬɢɜɧɨɫɬɢ ɩɨɞɨɛɧɚ ɬɟɦɩɟɪɚɬɭɪɧɨɣ ɡɚ- ɜɢɫɢɦɨɫɬɢ ɫɨɩɪɨɬɢɜɥɟɧɢɹ ɢ ɟɦɤɨɫɬɢ (ɫɦ. 5.2.1, 5.2.2). Ɂɚɞɚɟɬɫɹ ɡɧɚɱɟɧɢɹɦɢ ɞɜɭɯ ɤɨɷɮɮɢɰɢɟɧɬɨɜ — TC1 ɢ TC2. ȼ ɫɥɭɱɚɟ ɡɚɞɚɧɢɹ [ɢɦɟɧɢ ɦɨɞɟɥɢ] ɜ ɨɤɧɟ ɚɬɪɢɛɭɬɨɜ, <ɢɧɞɭɤɬɢɜɧɨɫɬɶ> ɜ ɫɬɪɨɤɟ ɚɬɪɢɛɭɬɚ INDUCTANCE ɞɨɦɧɨɠɚɟɬɫɹ ɧɚ ɡɧɚɱɟɧɢɟ TF-ɮɚɤɬɨɪɚ, ɤɨɬɨɪɵɣ ɜɵɱɢɫɥɹɟɬɫɹ ɩɨ ɮɨɪɦɭɥɟ:

188 ɉɪɨɝɪ ɦɦ ɫɯɟɦɨɬɟɯɧɢɱɟɫɤɨɝɨ ɦɨɞɟɥɢɪɨɜ ɧɢɹ Micro-Cap. ȼɟɪɫɢɢ 9, 10

TF=1+TC1 (T-Tnom)+TC2 (T-Tnom)2

Ɍ ɚ ɛ ɥ ɢ ɰ ɚ 5 . 3 . ɉɚɪɚɦɟɬɪɵ ɦɨɞɟɥɢ ɢɧɞɭɤɬɢɜɧɨɫɬɢ

Ɉɛɨɡɧɚɱɟɧɢɟ

ɋɨɞɟɪɠɚɧɢɟ

Ɋɚɡɦɟɪɧɨɫɬɶ

Ɂɧɚɱɟɧɢɟɩɨ ɭɦɨɥɱɚɧɢɸ

 

 

L

Ɇɚɫɲɬɚɛɧɵɣ ɦɧɨɠɢɬɟɥɶ ɢɧɞɭɤɬɢɜɧɨɫɬɢ

1

CP

ɉɚɪɚɥɥɟɥɶɧɚɹ ɟɦɤɨɫɬɶ

Ɏ

 

 

 

 

 

RS

ɉɨɫɥɟɞɨɜɚɬɟɥɶɧɨɟ ɫɨɩɪɨɬɢɜɥɟɧɢɟ

Ɉɦ

0

IL1

Ʌɢɧɟɣɧɵɣ ɤɨɷɮɮɢɰɢɟɧɬ ɡɚɜɢɫɢɦɨɫɬɢ ɨɬ ɬɨɤɚ

–1

0

 

IL2

Ʉɜɚɞɪɚɬɢɱɧɵɣ

ɤɨɷɮɮɢɰɢɟɧɬ ɡɚɜɢɫɢɦɨɫɬɢ ɨɬ

–2

0

ɬɨɤɚ

 

 

 

 

 

 

Ɍɋ1

Ʌɢɧɟɣɧɵɣ ɬɟɦɩɟɪɚɬɭɪɧɵɣ ɤɨɷɮɮɢɰɢɟɧɬ ɢɧɞɭɤ-

–1

0

 

ɬɢɜɧɨɫɬɢ

 

 

 

Ɍɋ2

Ʉɜɚɞɪɚɬɢɱɧɵɣ

ɬɟɦɩɟɪɚɬɭɪɧɵɣ ɤɨɷɮɮɢɰɢɟɧɬ

–2

0

 

ɢɧɞɭɤɬɢɜɧɨɫɬɢ

 

 

 

T_MEASURED

Ɍɟɦɩɟɪɚɬɭɪɚ ɢɡɦɟɪɟɧɢɣ

Ɍ_Ⱥȼɋ

ɛɫɨɥɸɬɧɚɹ ɬɟɦɩɟɪɚɬɭɪɚ

T_REL_GLOBAL

Ɉɬɧɨɫɢɬɟɥɶɧɚɹ ɬɟɦɩɟɪɚɬɭɪɚ

T_REL_LOCAL

Ɋɚɡɧɨɫɬɶ ɦɟɠɞɭ ɬɟɦɩɟɪɚɬɭɪɨɣ ɭɫɬɪɨɣɫɬɜɚ ɢ ɦɨ-

ɞɟɥɢ-ɩɪɨɬɨɬɢɩɚ (AKO)

 

 

 

 

Ɋɚɡɛɪɨɫ ɢɧɞɭɤɬɢɜɧɨɫɬɢ

 

 

Ɂɚɞɚɟɬɫɹ ɬɚɤ ɠɟ, ɤɚɤ ɢ ɪɚɡɛɪɨɫ ɫɨɩɪɨɬɢɜɥɟɧɢɹ ɜ ɦɨɞɟɥɶɧɨɣ ɫɬɪɨɤɟ ɫ ɩɨ- ɦɨɳɶɸ ɤɥɸɱɟɜɵɯ ɫɥɨɜ LOT ɢɥɢ DEV ɞɥɹ ɥɸɛɵɯ ɩɚɪɚɦɟɬɪɨɜ ɦɨɞɟɥɢ, ɡɚ ɢɫ- ɤɥɸɱɟɧɢɟɦ ɬɟɦɩɟɪɚɬɭɪɧɵɯ. ɉɪɢ ɪɚɫɱɟɬɟ ɡɧɚɱɟɧɢɹ ɢɧɞɭɤɬɢɜɧɨɫɬɢ ɭɱɢɬɵɜɚɟɬ- ɫɹ ɭɦɧɨɠɟɧɢɟɦ ɧɚ MF-ɮɚɤɬɨɪ, ɜɵɱɢɫɥɹɟɦɵɣ ɩɨ ɮɨɪɦɭɥɟ:

ɆF=1 ± <ɪ ɡɛɪɨɫ ɜ ɩɪɨɰɟɧɬ ɯ DEV ɢɥɢ LOT>/100

Ɉɤɨɧɱɚɬɟɥɶɧɨɟ ɡɧɚɱɟɧɢɟ ɢɧɞɭɤɬɢɜɧɨɫɬɢ ɤɚɬɭɲɤɢ Lvalue (ɪɢɫ. 5.10) ɩɪɢ ɡɚɞɚɧɢɢ ɜ ɨɤɧɟ ɚɬɪɢɛɭɬɨɜ [ɢɦɟɧɢ ɦɨɞɟɥɢ] ɨɩɪɟɞɟɥɹɟɬɫɹ ɜɵɪɚɠɟɧɢɟɦ:

Lvalue = <ɢɧɞɭɤɬɢɜɧɨɫɬɶ> L QF TF MF=

=<ɢɧɞɭɤɬɢɜɧɨɫɬɶ>L(1+IL1 I+IL2 I2)[1+TC1(T-TNOM)+TC2 (T-TNOM)2] MF.

Ɋɢɫ. 5.10. Ɇɨɞɟɥɶ ɤɚɬɭɲɤɢ ɢɧɞɭɤɬɢɜɧɨɫɬɢ

ɂɡ-ɡɚ ɧɚɥɢɱɢɹ ɩɚɪɚɡɢɬɧɵɯ ɩɚɪɚɦɟɬɪɨɜ ɱɚɫɬɨɬɧɚɹ ɯɚɪɚɤɬɟɪɢɫɬɢɤɚ ɤɚɬɭɲɤɢ ɢɧɞɭɤɬɢɜɧɨɫɬɢ ɦɨɠɟɬ ɢɦɟɬɶ ɪɟɡɨɧɚɧɫɧɵɣ ɩɢɤ (ɫɦ. ɪɢɫ. 5.9).

5. Ɇɨɞɟɥɢ ɧ ɥɨɝɨɜɵɯ ɤɨɦɩɨɧɟɧɬɨɜ

189

ɒɭɦɵ ɤɚɬɭɲɤɢ ɢɧɞɭɤɬɢɜɧɨɫɬɢ

ȿɫɥɢ ɜ ɩɚɪɚɦɟɬɪɚɯ ɦɨɞɟɥɢ ɡɚɞɚɧɨ ɩɚɪɚɡɢɬɧɨɟ ɩɨɫɥɟɞɨɜɚɬɟɥɶɧɨɟ ɫɨɩɪɨ- ɬɢɜɥɟɧɢɟ RS, ɬɨ ɨɧɨ ɪɚɫɫɦɚɬɪɢɜɚɟɬɫɹ ɤɚɤ ɢɫɬɨɱɧɢɤ ɬɟɩɥɨɜɨɝɨ ɲɭɦɚ, ɡɚɞɚ- ɜɚɟɦɵɣ ɜ ɜɢɞɟ ɫɩɟɤɬɪɚɥɶɧɨɣ ɩɥɨɬɧɨɫɬɢ ɲɭɦɨɜɨɝɨ ɬɨɤɚ:

IRS = 4 k T

RS

5.2.4. ȼɡɚɢɦɧɚɹ ɢɧɞɭɤɬɢɜɧɨɫɬɶ ɢ ɦɚɝɧɢɬɧɵɣ ɫɟɪɞɟɱɧɢɤ (Ʉ)

Ɏɨɪɦɚɬ SPICE

 

K<ɢɦɹ> L<ɢɦɹ ɤɚɬɭɲɤɢ> <L<ɢɦɹ ɤɚɬɭɲɤɢ>>* <ɤɨɷɮɮɢɰɢɟɧɬ ɫɜɹɡɢ>

 

K<ɢɦɹ> L<ɢɦɹ ɤɚɬɭɲɤɢ>* <ɤɨɷɮɮɢɰɢɟɧɬ ɫɜɹɡɢ> <ɢɦɹ ɦɨɞɟɥɢ>

 

ɉɪɢɦɟɪɵ:

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

K1 L1 L2 .98

 

 

 

 

 

 

K

 

K1 L1 L2 L3 L4 L5 L6 .999

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Ɏɨɪɦɚɬ ɫɯɟɦ Micro-Cap (ɪɢɫ. 5.12, 5.13)

 

 

 

 

 

 

 

 

 

 

 

 

 

 

K1

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

M ODEL=

x

ɬɪɢɛɭɬ PART: <ɢɦɹ>

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

ɉɪɢɦɟɪ: K1

 

 

 

 

 

 

 

 

 

 

 

 

 

 

K2

x ɬɪɢɛɭɬ INDUCTORS: <ɢɦɹ ɤɚɬɭɲɤɢ> <ɢɦɹ ɤɚɬɭɲɤɢ>*

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

M ODEL=N 97

 

ɉɪɢɦɟɪ: L1 L2 L3

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

x

ɬɪɢɛɭɬ COUPLING: <ɤɨɷɮɮɢɰɢɟɧɬ ɫɜɹɡɢ>

Ɋɢɫ. 5.11. ɍȽɈ

 

ɉɪɢɦɟɪ: 0.99

 

ɦɚɝɧɢɬɧɨɝɨ

x

ɬɪɢɛɭɬ MODEL: [ɢɦɹ ɦɨɞɟɥɢ]

ɫɟɪɞɟɱɧɢɤɚ

ɉɪɢɦɟɪ: K_3C8

ɉɨɪɹɞɨɤ ɩɟɪɟɱɢɫɥɟɧɢɹ ɢɦɟɧ ɢɧɞɭɤɬɢɜɧɨɫɬɟɣ Lyyy, Lzzz ... ɧɟ ɢɦɟɟɬ ɡɧɚ- ɱɟɧɢɹ, ɡɧɚɤ ɜɡɚɢɦɧɨɣ ɢɧɞɭɤɬɢɜɧɨɫɬɢ ɨɩɪɟɞɟɥɹɟɬɫɹ ɩɨɥɨɠɢɬɟɥɶɧɵɦɢ ɧɚɩɪɚɜ- ɥɟɧɢɹɦɢ ɬɨɤɨɜ ɢɧɞɭɤɬɢɜɧɨɫɬɟɣ ɨɬɧɨɫɢɬɟɥɶɧɨ ɧɚɱɚɥ ɨɛɦɨɬɨɤ. ɉɚɪɚɦɟɬɪɨɦ ɜɡɚɢɦɧɨɣ ɢɧɞɭɤɬɢɜɧɨɫɬɢ ɹɜɥɹɟɬɫɹ ɤɨɷɮɮɢɰɢɟɧɬ ɫɜɹɡɢ.

ɇɚ ɨɞɧɨɦ ɫɟɪɞɟɱɧɢɤɟ ɩɨɦɟɳɚɟɬɫɹ ɨɞɧɚ ɢɥɢ ɧɟɫɤɨɥɶɤɨ ɨɛɦɨɬɨɤ ɫ ɢɦɟɧɚ- ɦɢ Lyyy, Lzzz... ȼɫɟ ɨɛɦɨɬɤɢ ɢɦɟɸɬ ɨɞɢɧɚɤɨɜɨɟ ɡɧɚɱɟɧɢɟ <ɤɨɷɮɮɢɰɢɟɧɬɚ ɫɜɹɡɢ>. ɉɪɢ ɯɨɪɨɲɟɣ ɦɚɝɧɢɬɧɨɣ ɫɜɹɡɢ, ɨɫɭɳɟɫɬɜɥɹɟɦɨɣ ɩɨɫɪɟɞɫɬɜɨɦ ɡɚɦɤɧɭ- ɬɨɝɨ ɮɟɪɪɨɦɚɝɧɢɬɧɨɝɨ ɫɟɪɞɟɱɧɢɤɚ, ɜɟɥɢɱɢɧɚ ɤɨɷɮɮɢɰɢɟɧɬɚ ɫɜɹɡɢ ɧɚɯɨɞɢɬɫɹ ɜ ɩɪɟɞɟɥɚɯ 0.98…0.999. ȿɞɢɧɢɱɧɨɟ ɡɧɚɱɟɧɢɟ ɤɨɷɮɮɢɰɢɟɧɬɚ ɫɜɹɡɢ ɫɨɨɬɜɟɬɫɬ- ɜɭɟɬ 100%-ɧɨɣ ɦɚɝɧɢɬɧɨɣ ɫɜɹɡɢ ɦɟɠɞɭ ɨɛɦɨɬɤɚɦɢ, ɱɬɨ ɹɜɥɹɟɬɫɹ ɷɤɜɢɜɚɥɟɧ- ɬɨɦ ɨɬɫɭɬɫɬɜɢɹ ɢɧɞɭɤɬɢɜɧɨɫɬɟɣ ɪɚɫɫɟɢɜɚɧɢɹ.

ɉɪɢ ɡɚɞɚɧɢɢ ɦɚɝɧɢɬɧɨɣ ɫɜɹɡɢ ɜɨɡɦɨɠɧɵ 2 ɜɚɪɢɚɧɬɚ:

xɦɚɝɧɢɬɨɫɜɹɡɚɧɧɵɟ ɢɧɞɭɤɬɢɜɧɨɫɬɢ ɥɢɧɟɣɧɵ;

xɦɚɝɧɢɬɨɫɜɹɡɚɧɧɵɟ ɢɧɞɭɤɬɢɜɧɨɫɬɢ ɧɟɥɢɧɟɣɧɵ (ɢɦɟɟɬɫɹ ɧɟɥɢɧɟɣɧɵɣ ɦɚɝ- ɧɢɬɧɵɣ ɫɟɪɞɟɱɧɢɤ, ɨɩɪɟɞɟɥɹɟɦɵɣ ɦɨɞɟɥɶɸ ɬɢɩɚ CORE).

ȼɵɛɨɪ ɧɟɥɢɧɟɣɧɨɝɨ ɢɥɢ ɥɢɧɟɣɧɨɝɨ ɦɚɝɧɢɬɧɨɝɨ ɫɟɪɞɟɱɧɢɤɚ ɡɚɜɢɫɢɬ ɨɬ ɦɨ- ɞɟɥɢɪɭɟɦɨɝɨ ɷɥɟɤɬɪɨɧɧɨɝɨ ɭɫɬɪɨɣɫɬɜɚ. ȿɫɥɢ ɧɟɥɢɧɟɣɧɵɟ ɹɜɥɟɧɢɹ ɜ ɫɟɪɞɟɱ- ɧɢɤɟ (ɝɢɫɬɟɪɟɡɢɫ ɢ ɧɚɫɵɳɟɧɢɟ) ɹɜɥɹɸɬɫɹ ɩɪɢɧɰɢɩɢɚɥɶɧɵɦɢ ɞɥɹ ɪɚɛɨɬɵ ɭɫɬ- ɪɨɣɫɬɜɚ (ɧɚɩɪɢɦɟɪ, ɜ ɤɥɸɱɚɯ ɧɚ ɦɚɝɧɢɬɧɵɯ ɭɫɢɥɢɬɟɥɹɯ ɢ ɦɚɝɧɢɬɧɵɯ ɪɟɚɤɬɨ- ɪɚɯ), ɬɨ ɢɫɩɨɥɶɡɭɟɬɫɹ ɧɟɥɢɧɟɣɧɵɣ ɫɟɪɞɟɱɧɢɤ, ɟɫɥɢ ɠɟ ɧɟɬ, (ɧɚɩɪɢɦɟɪ ɢɦ- ɩɭɥɶɫɧɵɣ ɢɥɢ ɫɟɬɟɜɨɣ ɬɪɚɧɫɮɨɪɦɚɬɨɪ), ɬɨ ɢɫɩɨɥɶɡɭɟɬɫɹ ɥɢɧɟɣɧɵɣ ɫɟɪɞɟɱɧɢɤ.

190

ɉɪɨɝɪ ɦɦ ɫɯɟɦɨɬɟɯɧɢɱɟɫɤɨɝɨ ɦɨɞɟɥɢɪɨɜ ɧɢɹ Micro-Cap. ȼɟɪɫɢɢ 9, 10

Ɇɚɝɧɢɬɨɫɜɹɡɚɧɧɵɟ ɥɢɧɟɣɧɵɟ ɢɧɞɭɤɬɢɜɧɨɫɬɢ.

ȿɫɥɢ ɩɪɢ ɨɩɢɫɚɧɢɢ ɜɡɚɢɦɧɨɣ ɢɧɞɭɤɬɢɜɧɨɫɬɢ ɢ ɦɚɝɧɢɬɧɨɝɨ ɫɟɪɞɟɱɧɢɤɚ Ʉ (ɪɢɫ. 5.12) ɧɟ ɡɚɞɚɧ ɚɬɪɢɛɭɬ MODEL, ɬɨ ɪɚɫɱɟɬɵ ɩɪɨɜɨɞɹɬɫɹ ɞɥɹ ɥɢɧɟɣɧɵɯ ɢɧɞɭɤɬɢɜɧɨɫɬɟɣ.

Ɋɢɫ. 5.12. Ɉɤɧɨ ɡɚɞɚɧɢɹ ɩɚɪɚɦɟɬɪɨɜ ɥɢɧɟɣɧɨɝɨ ɫɟɪɞɟɱɧɢɤɚ

Ʉɨɷɮɮɢɰɢɟɧɬ ɫɜɹɡɢ Kij ɞɜɭɯ ɨɛɦɨɬɨɤ (i, j) ɨɩɪɟɞɟɥɹɟɬɫɹ ɜɵɪɚɠɟɧɢɟɦ

Kij

Mij

,

Li L j

 

 

ɝɞɟ Li, Lj ɢɧɞɭɤɬɢɜɧɨɫɬɢ ɨɛɦɨɬɨɤ; Mij ɢɯ ɜɡɚɢɦɧɚɹ ɢɧɞɭɤɬɢɜɧɨɫɬɶ.

ɇɚɩɪɹɠɟɧɢɟ ɧɚ ɤɚɬɭɲɤɟ Li, ɫ ɭɱɟɬɨɦ ɜɡɚɢɦɧɨɣ ɢɧɞɭɤɰɢɢ ɨɩɪɟɞɟɥɹɟɬɫɹ ɜɵɪɚɠɟɧɢɟɦ:

U

 

L

dIi

M

 

dI j

M

 

dIk

...,

 

 

 

 

 

 

 

i

i

dt

 

ij

dt

 

ik

dt

 

ɝɞɟ Ii ɬɨɤ, ɜɬɟɤɚɸɳɢɣ ɜ ɜɵɜɨɞ (+) ɨɛɦɨɬɤɢ (ɩɨɦɟɱɟɧ ɧɚ ɫɯɟɦɟ ɬɨɱɤɨɣ).

ȼ ɷɬɨɦ ɫɥɭɱɚɟ ɩɪɢ ɜɜɨɞɟ ɜ ɫɯɟɦɭ ɫɜɹɡɚɧɧɵɯ ɢɧɞɭɤɬɢɜɧɨɫɬɟɣ ɩɨɫɪɟɞɫɬɜɨɦ ɜɫɬɚɜɤɢ ɷɥɟɦɟɧɬɚ K, ɜ ɨɬɤɪɵɜɚɸɳɟɦɫɹ ɨɤɧɟ ɩɚɪɚɦɟɬɪɨɜ ɡɚɞɚɟɬɫɹ ɥɢɲɶ ɩɨɡɢ- ɰɢɨɧɧɨɟ ɨɛɨɡɧɚɱɟɧɢɟ ɫɟɪɞɟɱɧɢɤɚ KN, ɩɨɡɢɰɢɨɧɧɵɟ ɨɛɨɡɧɚɱɟɧɢɹ ɜɫɟɯ ɤɚɬɭ- ɲɟɤ ɢɧɞɭɤɬɢɜɧɨɫɬɢ (INDUCTORS) ɫ ɤɨɬɨɪɵɦɢ ɨɧ ɫɜɹɡɚɧ ɢ ɤɨɷɮɮɢɰɢɟɧɬ ɫɜɹɡɢ

(COUPLING) (ɫɦ. ɪɢɫ. 5.12).

Ɇɚɝɧɢɬɨɫɜɹɡɚɧɧɵɟ ɤɚɬɭɲɤɢ ɫ ɧɟɥɢɧɟɣɧɵɦ ɦɚɝɧɢɬɧɵɦ ɫɟɪɞɟɱɧɢɤɨɦ

ȿɫɥɢ ɩɪɢ ɨɩɢɫɚɧɢɢ ɜɡɚɢɦɧɨɣ ɢɧɞɭɤɬɢɜɧɨɫɬɢ ɢ ɦɚɝɧɢɬɧɨɝɨ ɫɟɪɞɟɱɧɢɤɚ Ʉ (ɪɢɫ. 5.13) ɡɚɞɚɧ ɚɬɪɢɛɭɬ MODEL (ɭɤɚɡɚɧɚ ɦɨɞɟɥɶ ɫɟɪɞɟɱɧɢɤɚ), ɬɨ ɪɚɫɱɟɬɵ ɩɪɨɜɨɞɹɬɫɹ ɞɥɹ ɧɟɥɢɧɟɣɧɵɯ ɢɧɞɭɤɬɢɜɧɨɫɬɟɣ.

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