phys225 lecture 18 - texas a&m...
TRANSCRIPT
PHYS225Lecture 18
Electronic Circuits
Oscillators and Timers
• Oscillators & Timers
– Produce timing signals to initiate measurement
• Periodic or single pulse
• Periodic output at known (controlled) frequency
• Shape is also known (controllable)– Sinusoid, square, triangle, etc.
– Part of nearly every electronic device
Relaxation oscillators
• Use a simple RC decay to generate a sustained oscillation
• Example using an op amp as a “comparator”
– Flips between states at a given frequency (1/RC)
Sine Wave Generator
• Wien Bridge oscillator
– 1/3 gain amplifier with phase shift cancellation
• Other techniques
– RC phase shift
– quadrature
Resonators
• Use “piezoelectric” effect
– Voltage generates a strain
– Quartz crystal vibrates at a specific frequency
• Depends on thickness of crystal
– Can cat like a very sharply tuned RLC circuit element
• Q is 104-5
– Very stable and useful!
• The 555 Timer is one of the most popular
and versatile integrated circuits ever produced!
• It is 30 years old and still being used!
• It is a combination of digital and analog circuits.
• It is known as the “time machine” as it performs a wide variety of timing tasks.
• Applications for the 555 Timer include:
– Bounce-free switches and Cascaded timers
– Frequency dividers
– Voltage-controlled oscillators
– Pulse generators and LED flashers
The 555 Timer
555 Timer
• Each pin has a function
• Note some familiar components inside
NE555
2
5
3
7
6
4 81
TR
CV
Q
DIS
THR
R
VC
CG
ND
Inside the 555 Timer
– The voltage divider (blue) has three equal 5K resistors. It divides the input voltage (Vcc) into three equal parts.
– The two comparators (red) are op-amps that compare the voltages at their inputs and saturate depending upon which is greater.
• The Threshold Comparator saturates when the voltage at the Threshold pin (pin 6) is greater than (2/3)Vcc.
• The Trigger Comparator saturates when the voltage at the Trigger pin (pin 2) is less than (1/3)Vcc
Inside the 555 Timer
10
– The flip-flop (green) is a bi-stable device. It generates two values, a “high” value equal to Vcc and a “low” value equal to 0V.• When the Threshold comparator saturates, the flip flop is
Reset (R) and it outputs a low signal at pin 3.
• When the Trigger comparator saturates, the flip flop is Set (S) and it outputs a high signal at pin 3.
– The transistor (purple) is being used as a switch, it connects pin 7 (discharge) to ground when it is closed. • When Q is low, Qbar is high. This closes the transistor
switch and attaches pin 7 to ground.
• When Q is high, Qbar is low. This open the switch and pin 7 is no longer grounded
Types of 555-Timer Circuits
• Astable Multivibratorputs out a continuous sequence of pulses
5V
Ra
C
0.01u
F
LED
NE555
2
5
3
7
64 8
1TR
CV
Q
DIS
THRR
VC
CG
ND
Rb
5V
12
1K
0.01u
F
C
R
LED
NE555
2
5
3
7
6
4 81
TR
CV
Q
DIS
THR
R
VC
CG
ND
Monostable Multivibrator(or one-shot) puts out one pulse each time the switch is connected
Monostable Multivibrator (One Shot)
+V
-V
-
+
+V
-V
-
+R
S
Q
Q
3
4
1
7
2
6
8
R
R
R
Control Flip-FlopTrigger Comparator
Threshold Comparator
Output
ResetVcc
Trigger
Monstable MultivibratorOne-Shot
C
Ra
cc
2V
3
cc
1V
3
Behavior of the Monostable Multivibrator• The monostable multivibrator is constructed by adding an
external capacitor and resistor to a 555 timer.
• The circuit generates a single pulse of desired duration when it receives a trigger signal, hence it is also called a one-shot.
• The time constant of the
resistor-capacitor
combination determines
the length of the pulse.
– Used to generate a clean pulse of the correct height and duration for a digital system
– Used to turn circuits or external components on or off for a specific length of time.
– Used to generate delays.
– Can be cascaded to create a variety of sequential timing pulses. These pulses can allow you to time and sequence a number of related operations.
Uses of the Monostable Multivibrator
Astable Pulse-Train Generator (Multivibrator)
+V
-V
-
+
+V
-V
-
+R
S
Q
Q
3
4
1
7
2
6
8
R
R
R
Control Flip-FlopTrigger Comparator
Threshold Comparator
Output
Vcc
Astable Pulse-Train Generator
C
R1
R2
Behavior of the Astable Multivibrator• The astable multivibrator is simply an oscillator. The astable
multivibrator generates a continuous stream of rectangular off-on pulses that switch between two voltage levels.
• The frequency of the pulses and their duty cycle are dependent upon the RC network values.
• The capacitor C charges through the series resistors R1 and R2
with a time constant
(R1 + R2)C.
• The capacitor discharges
through R2 with a time
constant of R2C
– Flashing LED’s
– Pulse Width Modulation
– Pulse Position Modulation
– Periodic Timers
Uses of the Astable Multivibrator
Flashing LED’s
• 40 LED bicycle light with 20 LEDs flashing alternately at 4.7Hz
Understanding the Astable Mode Circuit
• 555-Timers, like op-amps can be configured in different ways to create different circuits. This one creates a train of equal pulses, as shown at the output.
• Capacitor C1 is charged up by current flowing through R1
• As the capacitor charges up, its voltage increases and the current charging it decreases
VV V
R1
1k
U2
TOPEN = 01
2C1
1uF
U1
TCLOSE = 0
1 2
0
V1
10V
IV V
R
V
k
CAPACITOR CAPACITOR
1
1
10
1
T i m e
0 s 1 m s 2 m s 3 m s 4 m s 5 m s 6 m s 7 m s 8 m s 9 m s 1 0 m s
V ( U 2 : 1 ) V ( R 1 : 2 ) V ( V 1 : + )
0 V
2 V
4 V
6 V
8 V
1 0 V
C a p a c i t o r V o l t a g e
• Capacitor Current
• Capacitor Voltage
• Where the time constant
T i m e
0 s 1 m s 2 m s 3 m s 4 m s 5 m s 6 m s 7 m s 8 m s 9 m s 1 0 m s
I ( R 1 ) I ( C 1 )
0 A
2 m A
4 m A
6 m A
8 m A
1 0 m A
C a p a c i t o r a n d R e s i s t o r C u r r e n t
T i m e
0 s 1 m s 2 m s 3 m s 4 m s 5 m s 6 m s 7 m s 8 m s 9 m s 1 0 m s
V ( U 2 : 1 ) V ( R 1 : 2 ) V ( V 1 : + )
0 V
2 V
4 V
6 V
8 V
1 0 V
C a p a c i t o r V o l t a g e
I I eo
t
V V eo
t
1
RC R C ms1 1 1
• Note that the voltage rises to a little above 6V in 1ms.
T i m e
0 s 1 m s 2 m s 3 m s 4 m s 5 m s 6 m s 7 m s 8 m s 9 m s 1 0 m s
V ( U 2 : 1 ) V ( R 1 : 2 ) V ( V 1 : + )
0 V
2 V
4 V
6 V
8 V
1 0 V
C a p a c i t o r V o l t a g e
( ) .1 6321 e
555 Timer
• At the beginning of the cycle, C1 is charged through resistors R1 and R2. The charging time constant is
• The voltage reaches (2/3)Vcc in a time
1)21(693.01arg CRRTt ech
1)21(arg CRRech
555 Timer
• When the voltage on the capacitor reaches (2/3)Vcc, a switch (the transistor) is closed (grounded) at pin 7.
• The capacitor is discharged to (1/3)Vcc through R2 to ground, at which time the switch is opened and the cycle starts over.
1)2(arg CRedisch
1)2(693.02arg CRTt edisch
555 Timer
• The frequency is then given by
fR R C R R C
1
0 693 1 2 2 1
144
1 2 2 1. ( )
.
( )
PWM: Pulse Width Modulation
• Signal is compared to a sawtooth wave producing a pulse width proportional to amplitude
20 March 2007 Electronic Instrumentation 27
What Can Be Done With PWM?
• Question: What happens if voltages like the ones above are connected to a light bulb? Answer: The longer the duty cycle, the longer the light bulb is on and the brighter the light.
Low
Duty Cycle
Medium
Duty Cycle
High
Duty Cycle
20 March 2007 Electronic Instrumentation 28
What Can Be Done With PWM?
• Average power can be controlled• Average flows can also be controlled by fully opening and
closing a valve with some duty cycle