IE1206 Embedded Electronics

Transcription

1 E06 Embedded Electronics e e3 e4 e Ex Ex P-block Documentation, Seriecom, Pulse sensor,,, P, series and parallel K AB Pulse sensors, Menu program Start of program task Kirchhoffs laws Node analysis Two ports AD e5 Ex3 K AB Two port, AD, omparator/schmitt e6 e8 Ex6 e3 Ex4 Ex5 e0 e7 e9 e e Ex7 presentation wr. exam K3 AB3 Transients PWM Phasor PWM P AP/ND-sensor K4 AB4 Step-up, -oscillator -osc, D-motor, P PWM P-filter Trafo Guest lecturer presentation of program task Trafo, Ethernet contact

2 omplex phasors, -method X X omplex OHM s law for and. omplex OHM s law for Z. ] e[ ] m[ arctan arg( Z Z Z Z Z ϕ f π

3 Voltage divider, Transfer function Simple filters are often designed as a voltage dividers.a filter transfer function, H( or H(f, is the ratio between output voltage and input voltage. This ratio we get directly from the voltage divider formula! Z H ( Z Z Z Z Z

4 P HP BP BS P lowpass HP highpass BP bandpass BS bandstop BP and BS filters can be seen as different combination of P and HP filters.

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6 Transfer function (4. a Set up an expression of f(,,,. b Set up the transfer function / the amount function and the phase function. c What filter type is the transfer function, P HP BP BS? d What break frequency has the transfer function?

7 Transfer function (4. Answer a

8 Transfer function (4.

9 Transfer function (4. arctan arg arctan 90 arg ( 4 Answer b /

10 Transfer function (4. Answer c P HP BP BS? { } 0 { } HP

11 Transfer function (4. f G π Answer d Break frequency? At the break frequency the numerator real part and imaginary part are equal.

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13 Phasor - vector π f X X Z

14 Phasor chart for voltage divider (.8 The figure shows a voltage divider. t is connected to an A voltage source and it s output voltage is. At a some frequency the reactance of the inductor is X. Draw the phasor chart of this circuit with, and at this frequency. se as reference phase ( horizontal.

15 Phasor chart for voltage divider (.8 3

16 -calculation of the divided voltage 0 5 ( 6 ( ( 6 ( 4 X

17 Here are some more filters if time permits!

18 Filter (4.7 The figure shows a simple filter with two and one. a Derive the filter complex transfer function /. b At what angle frequency X will the amount function be Give an expresson for this frequency X with. / / c What value has the amount of the transfer function at very low frequencys, 0? What value has the phase function at very low frequencys? d What value has the amount of the transfer function at very high frequencys,? What value has the phase function at very high frequencys?? arg?? arg? 0?, (? d c b a X X

19 Filter (4.7 a ( 4( ( ( ( b X 0 arg c 0 arg 0,5 0 0 d

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21 Filter if time (4.8 The figure shows a simple filter with and. a Derive the filter transfer function /. b At what angular frequency x will the denominator be purely imaginary? Give an expression of this frequency x with and. c What value has the amount function at this angular frequency, x? d What value has the phase function at this angular frequency, x? e Give an expression of the transfer function between / ( Note! You already have the transferfunction / from a? ( (? ( ( arg? ( (?,, (? ( ( e d c b a X X X X X

22 Filter if time (4.8 E b a 0 ( ( 90 arg arg 0 ( d c e (?

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24 Voltage ratio N : N N dφ dt N dφ dt N N

25 urrent ratio 0 0 0, ( N N P P P N : N

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27 Two values are missing? (5. For a transformer the following data was given: Primary Secondary N N V? 00? 9 A alculate the two values that are missing. and.

28 Two values are missing! (5. For a transformer the following data was given: Primary Secondary N N V 3A? 00 75V? 9 A alculate the two values that are missing. and. n N /N 600/00 3 n n

29 Two values are missing? (5. For a transformer the following data was given:. Primary Secondary N N? 30 V A 50? A alculate the two values that are missing. N and.

30 Two values are missing! (5. For a transformer the following data was given:. Primary Secondary N N? 30 V A 50 38V? A 900 alculate the two values that are missing. N and. n / / 6 N N n /n 30/6 38,3 V

31 Two values are missing? (5.3 For a transformer the following data was given: Primary Secondary N N V?? 7 V 9 A alculate the two values that are missing. and N.

32 Two values are missing! (5.3 For a transformer the following data was given: Primary Secondary N N V?? 7 V 9 A 5A 339 alculate the two values that are missing. and N. N 5, 77 N N N N N , 08 A

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34 nductive coupling The coupling factor indicates how much of its flow a coil has in common with another coil? An ideal transformer has the coupling factor k (00% ± M is called mutal inductance k M Series connected coils Anti series connected coils TOT M TOT M Parallel connected coils Anti parallel connected coils M TOT M M TOT M

35 Mutal inductance (5.8 Three inductors, 6, 3 5 [H] are series connected. When inductors are close to each other the placement on the circuit board can be important. n the figure to the left a will inductors to have a portion of the magnetic lines in common. They then have the mutual inductances M 3, M 3, M 3 [H]. n the figure to the right b the inductors are mounted three dimensional so that there are no shared power magnetic lines. a alculate the total inductance for the arrangement in figure a. TOT? b alculate the total inductance for the arrangement in figure b. TOT?

36 Mutal inductance (5.8 [ ] [ ] H b H a M M M M M M TOT TOT

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