22
Wien Bridge Oscillator Wien Bridge Oscillator f o 10.28kHz j 1 U1 Vo C R C R R 3 R 4 Will oscillate at frequency f o 1 2π RC = Pick C 1nF R 1 2 π C f o 15.482 kΩ if 1 R 3 R 4 3 = Pick R 15kΩ which is a standard value Pick R 3 20kΩ R 4 10kΩ Page 170 of Lab Manual R 1 R 2 = R = C 1 C 2 = C = Transfer Function for Circuit shown in Fig 9.2.b Ts () V o V i = 1 R 3 R 4 sRC s 2 R 2 C 2 3sRC 1 = Second Order BPF Tf () 1 R 3 R 4 j2 π f R C j2 π f R C ( ) 2 3 j2 π f R C ( ) 1 1 10 3 1 10 4 1 10 5 20 10 0 100 50 0 50 100 20 log Tf () 180 π arg T f () ( ) f For the diode limiter network pick R A R B 30kΩ = V γ 0.7V = V o 5V = the peak value of the output sine wave. Solution with Eqn 9.8 yields R A 3.95kΩ = R B 26.05kΩ =

Mathcad - Wien Bridge Oscillator - …brewer.ece.gatech.edu/ece3043/Lecture_Notes/Wien Bridge Oscillator.… · Wien Bridge Oscillator Wien Bridge Oscillator fo 10.28kHz j1 U1 Vo

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Page 1: Mathcad - Wien Bridge Oscillator - …brewer.ece.gatech.edu/ece3043/Lecture_Notes/Wien Bridge Oscillator.… · Wien Bridge Oscillator Wien Bridge Oscillator fo 10.28kHz j1 U1 Vo

Wien Bridge Oscillator

Wien Bridge Oscillatorfo 10.28kHz j 1

U1 Vo

C R

CR

R3

R4

Will oscillate at frequency

fo1

2π RC= Pick C 1nF

R1

2 π C fo15.482kΩ

if

1R3

R4 3= Pick R 15kΩ

which is a standard value

Pick R3 20kΩ R4 10kΩ

Page 170 of Lab Manual

R1 R2= R= C1 C2= C=

Transfer Function for Circuit shown in Fig 9.2.b

T s( )Vo

Vi= 1

R3

R4

sRC

s2

R2

C2

3sRC 1= Second Order BPF

T f( ) 1R3

R4

j 2 π f R C

j 2 π f R C( )2

3 j 2 π f R C( ) 1

1 103 1 10

4 1 105

20

10

0

100

50

0

50

100

20 log T f( ) 180

πarg T f( )( )

fFor the diode limiter network pick RA RB 30kΩ= Vγ 0.7V=

Vo 5V= the peak value of the output sine wave. Solution with Eqn 9.8 yields

RA 3.95kΩ= RB 26.05kΩ=

Page 2: Mathcad - Wien Bridge Oscillator - …brewer.ece.gatech.edu/ece3043/Lecture_Notes/Wien Bridge Oscillator.… · Wien Bridge Oscillator Wien Bridge Oscillator fo 10.28kHz j1 U1 Vo

0

0

1

1

2

2

3

3

4

4

5

5

6

6

7

7

8

8

A A

B B

C C

D D

E E

F F

G G

VCC15V

VEE-15V

U1

R1

15kΩ

C1

1nF

C21nF

RF

22kΩ

R310kΩ

Title:

Document N:

Date: Sheet of

Revision:Size:

Wien

0001

2012-06-20 1 1

1.0A

Set ICs to Zero and use small time steps compared to a period.

Use Virtual Op Amp 5 Terminals

This is Multisim

R215kΩ

out

VCC15V

VEE-15V

U2

R4

15kΩ

C3

1nF

C41nF

R5

22kΩ

R610kΩ

R715kΩ

R83.95kΩ

R93.95kΩ

R10

26.05kΩ

R11

26.05kΩ

VEE-15V

out_3

VCC15V

D1

D2

Page 3: Mathcad - Wien Bridge Oscillator - …brewer.ece.gatech.edu/ece3043/Lecture_Notes/Wien Bridge Oscillator.… · Wien Bridge Oscillator Wien Bridge Oscillator fo 10.28kHz j1 U1 Vo

WienPrinting Time:Wednesday, June 20, 2012, 8:39:16 PM

V(out)

Transient Analysis

Time (s)

0.00 1.50m250.00µ 1.25m500.00µ 1.00m750.00µ

Voltage (V)

-20

20

-10

10

0

(925.0564µ, 4.8770)

(1.0198m, 9.1726)

No Diode Limiter All Initial Conditions set to zero

It Clips at the dc power supply voltages. Highly undesirable.

Frequency of Oscillation

10.5548026kHz

Page 4: Mathcad - Wien Bridge Oscillator - …brewer.ece.gatech.edu/ece3043/Lecture_Notes/Wien Bridge Oscillator.… · Wien Bridge Oscillator Wien Bridge Oscillator fo 10.28kHz j1 U1 Vo

WienPrinting Time:Wednesday, June 20, 2012, 8:43:31 PM

V(out_3)

Transient Analysis

Time (s)

0.00 1.50m250.00µ 1.25m500.00µ 1.00m750.00µ

Voltage (V)

-7.5

7.5

-5.0

5.0

-2.5

2.5

0.0

(1.0167m, 5.0859)

Diode Limiter Peak Output

5.0859 V

Page 5: Mathcad - Wien Bridge Oscillator - …brewer.ece.gatech.edu/ece3043/Lecture_Notes/Wien Bridge Oscillator.… · Wien Bridge Oscillator Wien Bridge Oscillator fo 10.28kHz j1 U1 Vo

WienPrinting Time:Wednesday, June 20, 2012, 8:49:20 PM

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

16

17

18

Fourier analysis for V(out_3):

DC component: -0.031584

No. Harmonics: 9

THD: 6.76763 %

Grid size: 256

Interpolation Degree: 1

Harmonic Frequency Magnitude Phase Norm. Mag Norm. Phase

1 10554.8 5.44243 112.088 1 0

2 21109.6 0.0346508 125.259 0.00636679 13.1715

3 31664.4 0.351388 -55.842 0.0645646 -167.93

4 42219.2 0.00535184 -155.24 0.000983356 -267.33

5 52774 0.0974462 31.9446 0.0179049 -80.143

6 63328.8 0.00318635 68.2141 0.000585465 -43.874

7 73883.6 0.0258589 -154.2 0.00475135 -266.29

8 84438.4 0.0034441 153.858 0.000632825 41.7704

9 94993.2 0.0277988 -48.781 0.0051078 -160.87

V(out_3)

Fourier Analysis

Frequency (Hz)

0 125k25k 100k50k 75k

Voltage (V

)

1m

10

4m

7m

4

1

40m

70m

400m

With Diode Limiter Circuit

Page 6: Mathcad - Wien Bridge Oscillator - …brewer.ece.gatech.edu/ece3043/Lecture_Notes/Wien Bridge Oscillator.… · Wien Bridge Oscillator Wien Bridge Oscillator fo 10.28kHz j1 U1 Vo

0.0ms 0.2ms 0.4ms 0.6ms 0.8ms 1.0ms 1.2ms 1.4ms 1.6ms 1.8ms 2.0ms-15V

-12V

-9V

-6V

-3V

0V

3V

6V

9V

12V

15VV(6)

--- Z:\Z_Red_Ruby\brewdoc\ece3043hwk\hwk07_fbosc\wien_741.cir ---

Page 7: Mathcad - Wien Bridge Oscillator - …brewer.ece.gatech.edu/ece3043/Lecture_Notes/Wien Bridge Oscillator.… · Wien Bridge Oscillator Wien Bridge Oscillator fo 10.28kHz j1 U1 Vo

LTspice netlist Page 1

Wien Bridge Oscillator*No Diode Amplitude LimiterCp 3 0 1n IC=0Rp 3 0 15kCs 3 36 1n IC=0Rs 36 6 15kR1 2 0 10kR2 2 6 22kX0A 3 2 7 4 6 TL071VCC 7 0 DC 15VEE 4 0 DC -15* TL071 OPERATIONAL AMPLIFIER "MACROMODEL" SUBCIRCUIT* CREATED USING PARTS RELEASE 4.01 ON 06/16/89 AT 13:08* (REV N/A) SUPPLY VOLTAGE: +/-15V* CONNECTIONS: NON-INVERTING INPUT* | INVERTING INPUT* | | POSITIVE POWER SUPPLY* | | | NEGATIVE POWER SUPPLY* | | | | OUTPUT* | | | | |.SUBCKT TL071 1 2 3 4 5* C1 11 12 3.498E-12 C2 6 7 15.00E-12 DC 5 53 DX DE 54 5 DX DLP 90 91 DX DLN 92 90 DX DP 4 3 DX EGND 99 0 POLY(2) (3,0) (4,0) 0 .5 .5 FB 7 99 POLY(5) VB VC VE VLP VLN 0 4.715E6 -5E6 5E6 5E6 -5E6 GA 6 0 11 12 282.8E-6 GCM 0 6 10 99 8.942E-9 ISS 3 10 DC 195.0E-6 HLIM 90 0 VLIM 1K J1 11 2 10 JX J2 12 1 10 JX R2 6 9 100.0E3 RD1 4 11 3.536E3 RD2 4 12 3.536E3 RO1 8 5 150 RO2 7 99 150 RP 3 4 2.143E3 RSS 10 99 1.026E6 VB 9 0 DC 0 VC 3 53 DC 2.200 VE 54 4 DC 2.200 VLIM 7 8 DC 0 VLP 91 0 DC 25 VLN 0 92 DC 25.MODEL DX D(IS=800.0E-18).MODEL JX PJF(IS=15.00E-12 BETA=270.1E-6 VTO=-1).ENDS TL071.TRAN 0 2m UIC.PROBE.END

Page 8: Mathcad - Wien Bridge Oscillator - …brewer.ece.gatech.edu/ece3043/Lecture_Notes/Wien Bridge Oscillator.… · Wien Bridge Oscillator Wien Bridge Oscillator fo 10.28kHz j1 U1 Vo

0.0ms 0.2ms 0.4ms 0.6ms 0.8ms 1.0ms 1.2ms 1.4ms 1.6ms 1.8ms 2.0ms-15V

-12V

-9V

-6V

-3V

0V

3V

6V

9V

12V

15VV(6)

--- Z:\Z_Red_Ruby\brewdoc\ece3043hwk\hwk07_fbosc\wien_tl071.cir ---

Page 9: Mathcad - Wien Bridge Oscillator - …brewer.ece.gatech.edu/ece3043/Lecture_Notes/Wien Bridge Oscillator.… · Wien Bridge Oscillator Wien Bridge Oscillator fo 10.28kHz j1 U1 Vo

LTspice netlist Page 1

Wien Bridge Oscillator*With Diode Amplitude LimiterCp 3 0 1n IC=0Rp 3 0 15kCs 3 36 1n IC=0Rs 36 6 15kR1 2 0 10kR2 2 6 22kX0A 3 2 7 4 6 TL071VCC 7 0 DC 15VEE 4 0 DC -15D1 2 8 d1n4148D2 9 2 d1n4148Ra 6 8 3.95kRb 8 7 26.05kRa1 6 9 3.95kRb1 9 4 26.05k.model d1n4148 D(is=1n bv=100 n=1.8)* TL071 OPERATIONAL AMPLIFIER "MACROMODEL" SUBCIRCUIT* CREATED USING PARTS RELEASE 4.01 ON 06/16/89 AT 13:08* (REV N/A) SUPPLY VOLTAGE: +/-15V* CONNECTIONS: NON-INVERTING INPUT* | INVERTING INPUT* | | POSITIVE POWER SUPPLY* | | | NEGATIVE POWER SUPPLY* | | | | OUTPUT* | | | | |.SUBCKT TL071 1 2 3 4 5* C1 11 12 3.498E-12 C2 6 7 15.00E-12 DC 5 53 DX DE 54 5 DX DLP 90 91 DX DLN 92 90 DX DP 4 3 DX EGND 99 0 POLY(2) (3,0) (4,0) 0 .5 .5 FB 7 99 POLY(5) VB VC VE VLP VLN 0 4.715E6 -5E6 5E6 5E6 -5E6 GA 6 0 11 12 282.8E-6 GCM 0 6 10 99 8.942E-9 ISS 3 10 DC 195.0E-6 HLIM 90 0 VLIM 1K J1 11 2 10 JX J2 12 1 10 JX R2 6 9 100.0E3 RD1 4 11 3.536E3 RD2 4 12 3.536E3 RO1 8 5 150 RO2 7 99 150 RP 3 4 2.143E3 RSS 10 99 1.026E6 VB 9 0 DC 0 VC 3 53 DC 2.200 VE 54 4 DC 2.200 VLIM 7 8 DC 0 VLP 91 0 DC 25 VLN 0 92 DC 25.MODEL DX D(IS=800.0E-18).MODEL JX PJF(IS=15.00E-12 BETA=270.1E-6 VTO=-1).ENDS TL071.TRAN 0 2m UIC.PROBE

Page 10: Mathcad - Wien Bridge Oscillator - …brewer.ece.gatech.edu/ece3043/Lecture_Notes/Wien Bridge Oscillator.… · Wien Bridge Oscillator Wien Bridge Oscillator fo 10.28kHz j1 U1 Vo

LTspice netlist Page 2

.END

Page 11: Mathcad - Wien Bridge Oscillator - …brewer.ece.gatech.edu/ece3043/Lecture_Notes/Wien Bridge Oscillator.… · Wien Bridge Oscillator Wien Bridge Oscillator fo 10.28kHz j1 U1 Vo

0.0ms 0.2ms 0.4ms 0.6ms 0.8ms 1.0ms 1.2ms 1.4ms 1.6ms 1.8ms 2.0ms-5V

-4V

-3V

-2V

-1V

0V

1V

2V

3V

4V

5VV(6)

--- Z:\Z_Red_Ruby\brewdoc\ece3043hwk\hwk07_fbosc\wien_tl071_diode_limit.cir ---

Page 12: Mathcad - Wien Bridge Oscillator - …brewer.ece.gatech.edu/ece3043/Lecture_Notes/Wien Bridge Oscillator.… · Wien Bridge Oscillator Wien Bridge Oscillator fo 10.28kHz j1 U1 Vo

0

0

1

1

2

2

3

3

4

4

5

5

6

6

7

7

8

8

A A

B B

C C

D D

E E

F F

G G

VCC15V

VEE-15V

R1

6.32kΩ

C1

1nF

C2

1nF

C3

1nF

R2 6.32kΩ R3 6.32kΩ

R4

190kΩ

5

VCC15V

VEE-15V

R5

6.32kΩ

C4

1nF

C5

1nF

C6

1nF

R6 6.32kΩ R7 6.32kΩ

R8

190kΩ

R9

5.1kΩ

R105.1kΩ

7

R11

15kΩ

R12

15kΩ

D1

D2

Page 13: Mathcad - Wien Bridge Oscillator - …brewer.ece.gatech.edu/ece3043/Lecture_Notes/Wien Bridge Oscillator.… · Wien Bridge Oscillator Wien Bridge Oscillator fo 10.28kHz j1 U1 Vo

Phase_ShiftPrinting Time:Monday, June 25, 2012, 7:54:07 PM

V(7) V(5)

Transient Analysis

Time (s)0 20m5m 15m10m

Vol

tage

(V)

-20

20

-10

10

0

They are the same until the diodel limiter network kicks in

Page 14: Mathcad - Wien Bridge Oscillator - …brewer.ece.gatech.edu/ece3043/Lecture_Notes/Wien Bridge Oscillator.… · Wien Bridge Oscillator Wien Bridge Oscillator fo 10.28kHz j1 U1 Vo

Phase_ShiftPrinting Time:Monday, June 25, 2012, 7:56:35 PM

x1 y1 x2 y2 dx dy dy/dx 1/dx V(7): 17.6883m 5.8314 17.5909m 5.8308 -97.4169µ -615.3424µ 6.3166 -10.2652kV(5): 17.6883m -6.1310 17.5909m -5.0948 -97.4169µ 1.0362 -10.6366k -10.2652k

V(7) V(5)

Transient Analysis

Time (s)17.52m 18.12m17.60m 18.04m17.67m 17.97m17.75m 17.90m17.82m

Vol

tage

(V)

-16

18

-7

9

1

They are the same until the diodel limiter network kicks i

No Limiter

Limiter

Page 15: Mathcad - Wien Bridge Oscillator - …brewer.ece.gatech.edu/ece3043/Lecture_Notes/Wien Bridge Oscillator.… · Wien Bridge Oscillator Wien Bridge Oscillator fo 10.28kHz j1 U1 Vo

0

0

1

1

2

2

3

3

4

4

5

5

6

6

7

7

8

8

A A

B B

C C

D D

E E

F F

G G

VCC15V

VEE-15V

VCC15V

VEE-15V

R1

1kΩ

C1

1nF

R2

1kΩ

R3

30.96kΩ

R4

30kΩ

R5

15.481kΩ

C2 1nF

2

5

Page 16: Mathcad - Wien Bridge Oscillator - …brewer.ece.gatech.edu/ece3043/Lecture_Notes/Wien Bridge Oscillator.… · Wien Bridge Oscillator Wien Bridge Oscillator fo 10.28kHz j1 U1 Vo

QuadraturePrinting Time:Tuesday, June 26, 2012, 5:29:17 PM

V(2) V(5)

Transient Analysis

Time (s)0 20m5m 15m10m

Vol

tage

(V)

-20

20

-10

10

0

Quad No Diode Limiter

Page 17: Mathcad - Wien Bridge Oscillator - …brewer.ece.gatech.edu/ece3043/Lecture_Notes/Wien Bridge Oscillator.… · Wien Bridge Oscillator Wien Bridge Oscillator fo 10.28kHz j1 U1 Vo

QuadraturePrinting Time:Tuesday, June 26, 2012, 5:30:54 PM

x1 y1 x2 y2 dx dy dy/dx 1/dx V(2): 16.7871m -5.1974 16.8860m -4.3953 98.9405µ 802.0629m 8.1065k 10.1071kV(5): 16.7871m 14.7697 16.8860m 15.0293 98.9405µ 259.6381m 2.6242k 10.1071k

V(2) V(5)

Transient Analysis

Time (s)16.3m 16.9m16.5m 16.8m16.6m

Vol

tage

(V)

-16

16

-8

8

-53m

Quad No Diode Limiter

Page 18: Mathcad - Wien Bridge Oscillator - …brewer.ece.gatech.edu/ece3043/Lecture_Notes/Wien Bridge Oscillator.… · Wien Bridge Oscillator Wien Bridge Oscillator fo 10.28kHz j1 U1 Vo

0

0

1

1

2

2

3

3

4

4

5

5

6

6

7

7

8

8

A A

B B

C C

D D

E E

F F

G G

VCC15V

VEE-15V

VCC15V

VEE-15V

R1

1kΩ

C1

1nF R2

1kΩ

R3

30.96kΩ

R4

30kΩ

R5

15.481kΩ

C2 1nF

2

R65.1kΩ

R7 15kΩ

R8 5.1kΩ

R9 15kΩ

5

D1

D2

Page 19: Mathcad - Wien Bridge Oscillator - …brewer.ece.gatech.edu/ece3043/Lecture_Notes/Wien Bridge Oscillator.… · Wien Bridge Oscillator Wien Bridge Oscillator fo 10.28kHz j1 U1 Vo

Quadrature_DiodePrinting Time:Tuesday, June 26, 2012, 5:58:46 PM

V(2) V(5)

Transient Analysis

Time (s)0.0 15.0m2.5m 12.5m5.0m 10.0m7.5m

Vol

tage

(V)

-7.5

7.5

-5.0

5.0

-2.5

2.5

0.0

Page 20: Mathcad - Wien Bridge Oscillator - …brewer.ece.gatech.edu/ece3043/Lecture_Notes/Wien Bridge Oscillator.… · Wien Bridge Oscillator Wien Bridge Oscillator fo 10.28kHz j1 U1 Vo

Quadrature_DiodePrinting Time:Tuesday, June 26, 2012, 6:00:12 PM

x1 y1 x2 y2 dx dy dy/dx 1/dx V(2): 14.0782m 6.0018 14.1757m 5.9989 97.5181µ -2.8724m -29.4549 10.2545kV(5): 14.0782m -292.1749m 14.1757m -364.8312m 97.5181µ -72.6563m -745.0549 10.2545k

V(2) V(5)

Transient Analysis

Time (s)13.96m 14.35m14.03m 14.29m14.09m 14.22m14.16m

Vol

tage

(V)

-6.7

6.9

-4.4

4.7

-2.1

2.4

141.5m

Page 21: Mathcad - Wien Bridge Oscillator - …brewer.ece.gatech.edu/ece3043/Lecture_Notes/Wien Bridge Oscillator.… · Wien Bridge Oscillator Wien Bridge Oscillator fo 10.28kHz j1 U1 Vo

Georgia Institute of Technology

School of Electrical and Computer Engineering

ECE 3043 Electrical and Electronic Circuits Laboratory Verification Sheet

NAME:________________________________________ SECTION:___________________________

AD LOGIN:___________________________________

Experiment 9: Linear Op‐Amp Oscillators

Procedure Time Completed Date Completed Verification (Must demonstrate

circuit)

Points Possible

Points Received

3. Wein Bridge 25

4. Phase Shift 25

5. Quadrature 25

Enter your critical frequency below:

fcrit

To be permitted to complete the experiment during the open lab hours, you must complete at least three procedures during your scheduled lab period or spend your entire scheduled lab session attempting to do so. A signature below by your lab instructor, Dr. Brewer, or Dr. Robinson permits you to attend the open lab hours to complete the experiment and receive full credit on the report. Without this signature, you may use the open lab to perform the experiment at a 50% penalty.

SIGNATURE:____________________________________ DATE:____________________________________

Page 22: Mathcad - Wien Bridge Oscillator - …brewer.ece.gatech.edu/ece3043/Lecture_Notes/Wien Bridge Oscillator.… · Wien Bridge Oscillator Wien Bridge Oscillator fo 10.28kHz j1 U1 Vo

ECE 3043 Check‐off Requirements for Experiment 9

Make sure you have made all required measurements before requesting a check‐off. For all check‐offs, you must demonstrate the circuit or measurement to a lab instructor. All screen captures must have a time/date stamp.

Wein bridge and phase shift oscillators Scope capture showing open loop input and output waveforms in phase. Display Vpp and frequency

measurements. Scope capture showing closed loop output waveform. Display Vpp and frequency measurements. Scope capture showing closed loop output waveform with limiter. Display Vpp and frequency

measurements. Comparison of the measured frequency of oscillation to the design value. Adjust the circuit component

values if the measured value is not within 10% of the design value. Quadrature oscillator Scope capture showing both output waveforms. Display Vpp, frequency, and phase measurements. Scope capture of XY plot. Comparison of the measured frequency of oscillation to the design value. Adjust the circuit component

values if the measured value is not within 10% of the design value.