405791d9-1bc7-4a82-a628-898b707a1065 352 4 5 false false false 0 3 decimal

Using superposition with MNA method

Utilities

Instead simplfiy x# SN x# num2str eval str2num 11 line :

Complex Signum z csign z Re sign z Re 0 ≠ z Im sign cases 11 line :

Circuit and admittance matrix, by hand or using MNA function from the other worksheet.

V1 1 0R1 1 2C1 2 0RT 2 3CT 2 3LK 3 4RK 4 5CK 5 0RO 5 0CO 5 0 χ χ :

A 1 R1 / 1 R1 / - 00011 R1 / - R1 1 s CT * RT * + s C1 * RT * + (* RT + R1 RT * / 1 s CT * RT * + RT / - 00001 s CT * RT * + RT / - RT 1 s 2^CT * LK * + (* s LK * + s LK * RT * / 1 s LK * / - 00001 s LK * / - RK s LK * + s LK * RK * / 1 RK / - 00001 RK / - RK 1 s CO * RO * + s CK * RO * + (* RO + RK RO * / 010000066 mat :

Solve the Linear System

B 00000 V1s 16 mat transpose :

V A 1 -^B * SN :

Complex Freq

s C1 H V 2 el V 1 el / SN :

s C1 R1 XT RT \002E\\002E\\002E\ H

Square Wave

t f v.1 Vo i e i 2 * π * f * t *^* - csign * :

Values

R1 327.1 kΩ * :

C1 200 pF * :

Vo 0.8 V * :

RT 9 MΩ * :

CT 12.78 pF * :

LK 250 nH * :

RK 1.5 Ω * :

CK 100 pF * :

RO 1 MΩ * :

CO 15 pF * :

Frequency

f 1000 Hz * :

FFT Soltuions

N 28^:

T 1 N range 1 - N 1 - / 2 f / * 4 f / + :

k 1 0.5 N * 1 + (range :

Π x f / f v.1 Re T f * v.2F Re vectorize augment T f * v.1F v.2F - Re vectorize augment 31 sys :

v.1F T f v.1 vectorize :

V.1F v.1F fft :

V.2F k el i k 1 - (* 2 * π * f * C1 H 1 N / * V.1F k el * eval 0 try :

v.2F V.2F V.2F 2 0.5 N * (range el reverse Conjugate stack eval ifft N * V * :

Π 1 1 line

Alvaro

4 appVersion 1.74.9654.0