Noty an70 Linear Technology

Application Note 70
October 1997
A Monolithic Switching Regulator with 100µV Output Noise
“Silence is the perfectest herald of joy ...” Jim Williams
INTRODUCTION
Size, output flexibility and efficiency advantages have made switching regulators common in electronic appara­tus. The continued emphasis on these attributes has resulted in circuitry with 95% efficiency that requires minimal board area. Although these advantages are wel­come, they necessitate compromising other parameters.
Something commonly referred to as “noise” is a primary concern. The switched mode power delivery that permits the aforementioned advantages also creates wideband harmonic energy. This undesirable energy appears as radiated and conducted components commonly labeled as “noise.” Actually, switching regulator output “noise” is not really noise at all, but coherent, high frequency residue directly related to the regulator’s switching.1 Figure 1 shows typical switching regulator output noise. Two dis­tinct characteristics are present. The slow, ramping output ripple is caused by finite storage capacity of the regulator’s output filter components. The quickly rising spikes are associated with the switching transitions. Figure 2 shows another switching regulator output. In this case the ripple has been eliminated by adequate filtering and linear postregulation, but the wideband spikes remain. It is these fast spikes that cause so much difficulty in systems. Their high frequency content often corrupts associated cir­cuitry, degrading performance or even disabling opera­tion. Noise gets into adjacent circuitry via three paths. It is conducted out of the regulator output lead, it is conducted
back to the driving source (“reflected” noise) and it is radiated. The multiple transmission paths combine with the high frequency content to make noise suppression difficult. Unconscionable amounts of bypass capacitors, ferrite beads, shields, Mu-metal and aspirin have been expended in attempts to ameliorate noise-induced effects.
10mV/DIV
(AC COUPLED)
1µs/DIV AN70 F01
Figure 1. Typical Switching Regulator Output “Noise.” Wideband Spikes Are Difficult to Suppress, Causing System Interference Problems. Ripple Component Has Low Harmonic Content, Is Relatively Easily Filtered
20mV/DIV
(AC COUPLED)
Note 1. Noise contains no regularly occurring or coherent compo­nents. As such, switching regulator output “noise” is a misnomer. Unfortunately, undesired switching related components in the regulated output are almost always referred to as “noise.” As such, although technically incorrect, this publication treats all undesired output signals as “noise.” See Appendix B, “Specifying and Measuring Something Called Noise.”
50µs/DIV AN70 F02
Figure 2. Linear Regulator Eliminates Ripple, but Wideband Spikes Remain. Peak-to-Peak Amplitude Exceeds 30mV (Just Visible Near 2nd, 5th and 8th Vertical Graticule Divisions)
, LTC and LT are registered trademarks of Linear Technology Corporation.
AN70-1
Application Note 70
Alternate approaches involve synchronizing switching regulator operation to the host system or turning off switching during critical system operation (an “interrupt driven” power supply). Another approach places critical system operations between switch cycles, literally run­ning between electronic rain drops.
2
The difficulty of debugging a noise-laden system and the compromises involved in synchronized approaches could be eliminated with a low noise switching regulator. An inherently low noise switching regulator is the most attractive approach because it eliminates noise concerns while maintaining system flexibility.
A Noiseless Switching Regulator Approach
The key to an inherently low noise regulator is to minimize harmonic content in the switching transitions. Slowing down the switching interval does this, although power dissipated during the transition causes some efficiency loss. Reducing switch repetition rate can largely offset the
losses, resulting in a reasonably efficient design with small magnetics and the desired low noise. Noise reduc­tion by restricting harmonic generation has been employed before, although the implementations were complex and narrowly applicable.3 A monolithic approach, broadly usable over a range of magnetics and applica­tions, is described here.
A Practical, Low Noise Monolithic Regulator
Figure 3 describes the LT®1533, a monolithic regulator designed for low noise switching supplies. Figure 4 details the pin functions. Figure 3’s functional blocks show a fairly conventional push-pull architecture with a major excep­tion. The push-pull approach has good magnetics utiliza­tion (power transfer is always occurring in the trans­former; the core does not store energy) and pulls current
Note 2: See References 2 and 3 for details and practical examples of these techniques.
Note 3: See Appendix A, “A History of Low Noise DC/DC Conversion.” See also References 4 through 10.
NFB
SYNC
SHDN V
V
C
LDO REGULATOR
IN
+
NEGATIVE FEEDBACK
AMP
INTERNAL V
CC
CURRENT
PGND COL A COL B
+
AMP
1A
OUTPUT
DRIVERS
FB
1.25V
R
T
C
T
g
m
ERROR
AMP
+
+
OSCILLATOR
+
COMP
SQ
FF
R
Q
T
FF
QB
BK
SLEW CONTROL
R
VSL
R
CSL
Figure 3. LT1533 Simplified Block Diagram. 1A Slew-Controlled Output Stages Provide Low Noise Switching
AN70-2
GND DUTY
AN70 F03
Application Note 70
COL A, COL B: Output transistor collectors which switch out-of­phase.
DUTY: Grounding this pin forces the outputs to switch at a 50% duty cycle. This pin must float if not used.
SYNC: Used to synchronize to an external clock. Float or tie to ground if unused.
CT: Oscillator timing capacitor. RT: Oscillator timing resistor. FB: Used for positive output voltage sensing. NFB: Used for negative output voltage sensing. GND: Analog ground pin. PGND: High current ground return. Should be returned to
ground via 50nH (1" of PC trace or wire, or a small ferrite bead). See Appendix F or schematic (Figures 5 and 26) notes for details. In some package options, this pin may be internally connected to “GND” pin.
VC: Frequency compensation node. SHDN: Normally high. Grounding this pin shuts the part down.
I
= 20µA.
SHDN
R
: Current slew control resistor.
CSL
R
: Voltage slew control resistor.
VSL
VIN: Input supply pin. 2.7V to 30V range. Undervoltage lockout
at 2.55V.
Figure 4. LT1533 Short Form Pin Function Descriptions
continuously from the source. The even, continuous cur­rent drain from the source eliminates the fast, high peak currents required by flyback and other approaches. The source sees a benign load and is not corrupted. The switches also receive nonoverlapping drive, ensuring they do not conduct simultaneously. Simultaneous conduction
would cause excessive, quickly rising currents, degrading efficiency and generating noise.
The design’s most significant aspect is the output stage. Each 1A power transistor operates inside a broadband control loop. The voltage across each transistor and the current through it are sensed and the loop controls slew rate of each parameter. The voltage and current slew rates are independently settable by external programming resistors. This ability to control the switching’s rate-of­change makes low noise switching regulation practical. Operating the switching transistors in a local loop permits predictable, wide range control over a variety of situa­tions.4 Figure 5 is a 40kHz, 5V to 12V converter using the LT1533 in a push-pull, “forward” configuration. The feed­back resistor’s ratio produces a 12V output. A two-section LC filter provides high ripple attenuation, although a single section will give good performance. It is particularly noteworthy that high frequency noise content (as opposed to the 40kHz fundamental related ripple) is unaffected by output filter characteristics. This is so simply because there is so little high frequency energy developed in this circuit. If there’s nothing there, it doesn’t need to be filtered!
L2 provides compensation for the output current control loop. In practice, L2 may be a length of PC trace, a small inductor, a coiled section of wire or a ferrite bead. See Appendix F, “Magnetics Considerations” for complete discussion.
Note 4: Patent pending.
L3
+
AN70 F05
100µH
OPTIONAL
(SEE TEXT)
C3 47µF
12V
+
47µF
5V
1N4148
+
4.7µF
11
SHDN
3
DUTY
4
3300pF
18k
0.01µF
SYNC
5
C
6
R
10
V
14
V
IN
COL A
COL B
LT1533
PGND
NFB
R
VSL
R
CSL
FB
89
T
T
C
GND
T1
2
15
L2
16
15k
13
15k
12
7
R2
2.49k 1%
L1, L3: COILTRONICS CTX100-3
L2: 22nH TRACE INDUCTANCE, FERRITE BEAD OR T1: CTX02-13665-X1 (SEE APPENDIX F FOR DETAILS)
L1
100µH
1N4148
R1
21.5k 1%
INDUCTOR (SEE APPENDIX F) COILCRAFT B-07T TYPICAL
Figure 5. 100µV Noise 5V-to-12V Converter. Output LC Section May Be Deleted If Low Frequency Ripple Is Acceptable
AN70-3
Application Note 70
Measuring Output Noise
Measuring the LT1533’s unprecedented low noise levels requires care.5 Figure 6 shows a test setup for taking the measurement. Good connection and signal handling tech­nique combined with judicious instrumentation choice should yield a 100µ V noise floor in a 100MHz bandwidth. This corresponds to the noise of a 50 resistor in a 100MHz bandwidth.
Before measuring regulator output noise, it is good prac­tice to verify test setup performance. This is done by running the test setup with no input. Figure 7 shows a noise base line of 100µ V in a 100MHz bandwidth, indicat­ing the instrumentation is operating properly. Measuring Figure 5’s noise involves AC coupling the circuit’s output into the test setup’s input. Figure 8 shows this. Coaxial connections must be maintained to preserve measure­ment integrity.6 Figure 9’s waveforms detail circuit opera­tion. Traces A and C are switching transistor collector voltages, B and D are the respective transistor currents. The test setup’s output, representing circuit output noise, is Trace E. Wideband spiking and ripple, just visible in the noise floor, is inside 100µ V, even in a 100MHz bandpass.
7
This is spectacularly good performance and is, in fact, actually better than the photo shows. Removing all probes from the breadboard leaves only Trace E’s coaxial connec­tion. This eliminates any possible ground loop-induced error.8 Figure 10’s trace shows 40kHz ripple with about the same amplitude as in Figure 9. Switching related spikes, just faintly outline in the noise, are reduced.
Measurement bandwidth is reduced to 10MHz in Figure 11, attenuating test fixture amplifier noise. Switching and ripple residue amplitude and shape do not change, indicat­ing no signal activity beyond this frequency. Figure 12’s
Note 5: Equipment selection and measurement techniques are detailed in Appendix B, “Specifying and Measuring Something Called Noise.” See also Appendix C, “Probing and Connection Techniques for Low Level, Wideband Signal Integrity.”
Note 6: Again, see Appendices B and C for extended treatment of these and related issues.
Note 7: It is common industry practice to specify switching regulator noise in a 20MHz bandpass. There can be only one reason for this, and it is a disservice to users. See Appendix B for tutorial on observed noise versus measurement bandwidth.
Note 8: See Appendix C for related discussion and techniques for triggering oscilloscopes without invasively probing the circuit.
OSCILLOSCOPE
0.01V/DIV VERTICAL SENSITIVITY
100µV/DIV REFERRED TO AMPLIFIER INPUT
HP461A
AMPLIFIER
X40dB
INPUT
Z
= 50
IN
Figure 6. Test Setup Noise Baseline Is 100µV 50 Resistor Noise Limited. BNC Cable Connections and Terminations Provide Coaxial Environment, Ensuring Wideband, Low Noise Characteristics
BNC CABLE
50 TERMINATOR HP-11048C OR EQUIVALENT
in 100MHz Bandwidth. Performance Is
P-P
AN70 F06
AN70-4
Application Note 70
100µV/DIV
20µs/DIV AN70 F07
Figure 7. Oscilloscope Verifies Test Setup 100µV Noise Floor in 100MHz Bandwidth. Indicated Noise Is That of a 50 Resistor
HP461A
COUPLING
V
OUT
CAPACITOR
SWITCHING
REGULATOR
V
IN
UNDER TEST
BNC CABLE
AND
CONNECTORS
HP-10240B
LOAD (AS DESIRED)
AMPLIFIER
× 40dB
Z
IN
= 50
100µV/DIV
10µs/DIV
AN70 F07
Figure 10. Removing Probes from Figure 9’s Test Eliminates Ground Loops, Slightly Reducing Observed Noise. Switching Artifacts Are Just Discernible Above Noise Floor
OSCILLOSCOPE
0.01V/DIV VERTICAL SENSITIVITY
100µV/DIV REFERRED TO AMPLIFIER INPUT
BNC CABLE
Figure 8. Connecting Figure 5’s Circuit to the Test Setup. Coaxial Connections Must Be Maintained to Preserve Measurement Integrity
A = 10V/DIV
B = 1A/DIV
C = 10V/DIV
D = 1A/DIV
E = 100µV/DIV
20µs/DIV AN70 F09
Figure 9. Waveforms for Figure 5 at 100mA Loading. Traces A and C Are Voltage; B and D are Current, Respectively. Switching Transistion’s Noise Signature Appears in Trace E, the Circuit’s Output Noise
100µV/DIV
50 TERMINATOR HP-11048C OR EQUIVALENT
10µs/DIV AN70 F11
AN70 F08
Figure 11. Reducing Measurement Bandwidth to 10MHz Attenuates Amplifier Noise. Switching Residue Characteristics Remain Unchanged, Indicating No Signal Activity Beyond This Frequency
AN70-5
Application Note 70
horizontal expansion of Figure 10 returns to 100MHz bandpass. The switching spike appears in the center screen region. At 2µs/division sweep, there is no wide- band activity observable. Figure 13, a 10MHz bandpass version of Figure 12, retains all signal information, further suggesting no signal power beyond 10MHz.
Figure 14 is the noise floor of an HP4195A spectrum analyzer in a 500MHz sweep. When Figure 5’s circuit is AC coupled into the analyzer, the output (Figure 15a) is essentially identical. The analyzer is unable to detect switching-induced noise in a 500MHz bandpass. Some 40kHz fundamental-related components are detectable in Figure 15b’s 1MHz wide plot, although the rest of the sweep is analyzer noise limited. Additional filtering or a linear postregulator could eliminate the 40kHz ripple­related residue if desired.
The preamplified oscilloscope is a more sensitive tool for these measurements because its triggered operation has the advantage of synchronous detection. This is demonstratable by free running the preamplified oscillo­scope sweep; the switching-related components are indistinguishable in the noise background.
Figure 14. Noise Floor of Test Fixture and HP-4195A Spectrum Analyzer in a 500MHz Sweep
100µV/DIV
2µs/DIV AN70 F12
Figure 12. Horizontal Expansion of Figure 10 Shows No Wideband Components. Switching Originated Noise Appears in Center Screen Region
100µV/DIV
2µs/DIV AN70F13
Figure 13. A 10MHz Band Limited Version of Figure 12. As Before, Signal Information Is Retained, Although Amplifier Noise Is Reduced. Results Indicate No Signal Power Beyond 10MHz
Figure 15a. Figure 5’s Circuit Connected to the Spectrum Analyzer Produces Essentially Identical Results to Figure
14. Circuit’s Noise Is Undetectable
Figure 15b. Reducing Analyzer Sweep to 1MHz Width Reveals 40kHz Related Components. Remainder of Plot Is Analyzer Noise Floor Limited, Even in Sensitive 455kHz Band
AN70-6
Figure 16 studies ripple at the first LC filter section output. The ripple’s 40kHz fundamental is clearly seen, although no wideband spikes are visible. Figure 17 horizontally expands Figure 14’s time scale, but high frequency har­monics and spikes are not observable.
Low frequency noise is rarely a concern, although Figure 18 shows it is inside 50µV in a 10Hz to 10kHz bandpass. Input current noise is usually of more interest. Excessive “reflected” noise can corrupt the regulator’s driving source, causing system level interference. Figure 19 shows Figure 5’s input current as DC with a small, 40kHz fundamental­related sinusoidal component. There is no high frequency content, and the sinusoidal variations are easily handled by the driving source.
System-Based Noise “Measurement”
In the final analysis, the effect of switching regulator output noise on the system it is powering is the ultimate test. Appendix K, “System-Based Noise “Measurement,” presents results when the LT1533 is used to power a 16-bit A/D converter.
Application Note 70
5mV/DIV
10µs/DIV AN70 F16
Figure 16. Ripple at Figure 5’s First LC Output Has No Wideband Spikes
5mV/DIV
2.5µs/DIV AN70 F17
Figure 17. Time Expansion of Previous Figure. No High Frequency Content Is Visible
Transition Rate Effects on Noise and Efficiency
In theory, simply setting transition rate to low values will achieve low noise. Practically, such an approach, while workable, wastes power during transitions, lowering effi­ciency. A good compromise sets transition time at the fastest rate permitting desired noise performance. The LT1533’s slew adjustments allow easy determination of this point. Figure 20’s photographs dramatically demon­strate the relationship between transition time and output noise for Figure 5’s circuit. The sequence shows > 5:1 noise reduction as switch transition time slows from 100ns (20a) to 1µ s (20d). Figure 20d’s displayed noise is actually lower, as the probing-induced error caused by monitoring the switch corrupts the measurement.
9
Figure 21 graphically summarizes Figure 20’s informa­tion. Significant noise reduction coincides with descend­ing transition slew time until about 1.3µ s. Little additional noise benefit occurs beyond this point. Figure 22 shows efficiency fall-off with slew time. There is a 6% penalty between 100ns and 1.3µs, the same region where noise performance improves by a factor of 5 (per previous
Note 9: See Appendix C, “Probing and Connection Techniques for Low Level, Wideband Signal Integrity” for guidance.
50µV/DIV
10ms/DIV
Figure 18. Low Frequency Noise in a 10Hz to 10kHz Bandpass
10mA/DIV
AC COUPLED
ON 200mA
DC LEVEL
10µs/DIV AN70 F19
Figure 19. Figure 5’s Small Sinusoidal Input Current Variations Contain No High Frequency Content and Are Easily Absorbed by Input Supply
AN70 F18
AN70-7
Application Note 70
A = 5V/DIV
B = 100µV/DIV
A = 5V/DIV
B = 100µV/DIV
500ns/DIV AN70 F20a
(a)
500ns/DIV AN70 F20a
(c)
A = 5V/DIV
B = 100µV/DIV
500ns/DIV AN70 F20b
(b)
A = 5V/DIV
B = 100µV/DIV
500ns/DIV AN70 F20a
(d)
Figure 20. Output Noise (Trace B) vs Different Switch Slew Rates (Trace A). Highest Slew Rate (Figure a) Causes Largest Noise. Retarding Slew Rate (Figures b and c) Decreases Noise Until Lowest Noise Performance Is Achieved (Figure d)
700
600
500
400
300
200
f = 40kHz
100
PEAK-TO-PEAK WIDEBAND NOISE (µV)
= 100mA
I
LOAD
0
0
400
1200 1600
800
SLEW TIME (ns)
2000
AN70 F21
Figure 21. Figure 5’s Noise vs Slew Time at 40kHz Switching Frequency. Noise Reduction Beyond 1.3µs Is Minimal
80 78 76 74 72 70 68
EFFICIENCY (%)
66 64 62 60
1.3µs SLEW TIME =
f = 40kHz
= 100mA
I
LOAD
0
400
<100µV NOISE
(SEE FIGURE 21)
800
SLEW TIME (ns)
1200 1600
2000
AN70 F22
Figure 22. Figure 5’s Efficiency Drops 6% as Slew Time Extends to 1.3µs. Operation Beyond This Point Gains Little Noise Performance (See Previous Curve) with 6% Efficiency Penalty
80
75
1.3µs SLEW TIME
70
EFFICIENCY (%)
65
f = 40kHz
= 100mA
I
LOAD
60
100 200 300 400 700
0
WIDEBAND PEAK-TO-PEAK NOISE (µV)
500 600
AN70 F23
Figure 23. Efficiency vs Noise for Figure
5. Data Shows Significant Efficiency Fall­Off for Noise Below 80µV
AN70-8
Application Note 70
figure). There is an additional 6% penalty beyond 1.3µs, although no significant noise reduction occurs (again, per Figure 21). As such, operation in this region is undesirable. Figure 23 clearly shows the inflection point in the effi­ciency versus noise trade-off.
10
Negative Output Regulator
The LT1533 has a separate feedback input that directly accepts negative inputs.11 This permits negative outputs without the usual discrete level shifting stage. Figure 24’s 5V to –12V converter is similar to Figure 5’s circuit, except that the negative output is fed back to the negative feed­back input. The feedback scale factor change is necessi­tated by the higher effective reference voltage. In all other respects, the circuit (and its performance) is similar to Figure 5.
Floating Output Regulator
Figure 25’s isolation stage permits a fully floating, regu­lated output. The LT1431 shunt regulator compares a portion of the output to its internal reference and drives the optoisolator with the error signal. The optoisolator’s col­lector output biases the LT1431’s VC pin, closing a feed­back loop to regulate circuit output. The 0.22µ F capacitor stabilizes the loop and the 240k resistor biases the optoisolator into a favorable operating region. This circuit’s operation and characteristics are similar to Figure 5 with the added benefit of the isolated output.
5V
+
4.7µF
11
SHDN
3
DUTY
4
3300pF
18k
0.01µF
SYNC
5
C
6
R
10
V
14
V
IN
COL A
COL B
LT1533
PGND
R
R
NFB
FB
89
VSL
CSL
T
T
C
GND
T1
2
15
L1
16
15k
13
15k
12
7
R2
2.4k 1%
Floating Bipolar Output Converter
Grounding the LT1533’s “DUTY” pin and biasing FB forces the device into its 50% duty cycle mode. Figure 26’s output is full wave rectified with respect to T1’s secondary center tap, producing bipolar outputs. The forced 50% duty cycle combined with no feedback means the outputs are unregulated, proportioning to T1’s drive voltage. An out­put inductor is usually not required, as in Figure 5’s “forward” converter. At the very highest output currents, some inductance may be necessary to limit inrush current. If this is not done, the circuit may not start. Typically, linear regulators provide regulation.
12
Figure 26’s waveforms appear in Figure 27. Collector voltage (Traces A and C) and current (Traces B and D) are shown, along with the indicated output noise (Trace E). In this case linear regulators and an output filter are in use. In Figure 28 all probes except the coaxial output connec­tion are removed. This eliminates probing induced parasitics,13 allowing a higher fidelity signal presentation. Here, the switching residuals are barely detectable in the noise floor. Removing the optional output filter (Figure 29) allows linear regulator contributed noise and switching spikes to rise, but noise is still below 300µV
Note 10: The noise and efficiency characteristics appearing in Figures 20 to 23 were generated at the bench in about ten minutes. All you CAD modeling types out there might want to think about that.
Note 11: See Figure 3’s Block Diagram. Note 12: See Appendix E, “Selection Criteria for Linear Regulators.” Note 13: See Appendix C, “Probing and Connection Techniques for
Low Level, Wideband Signal Integrity,” for relevant discussion.
L3
100µH
+
AN70 F24
OPTIONAL
(SEE TEXT)
C3 47µF
–12V
C4
+
47µF
1N4148
L1: 22nH INDUCTOR. COILCRAFT B-07T TYPICAL,
L2, L3: COILTRONICS CTX100-3
T1: COILTRONICS CTX02-13665-X1 (SEE APPENDIX F)
L2
100µH
1N4148
R1
9.6k 1%
TRACE INDUCTANE OR BEAD (SEE APPENDIX F)
P-P
.
Figure 24. A Negative Output Version of Figure 5. LT1533’s Negative Feedback Input Requires Minimal Configuration Changes. Noise Performance Is Identical to Positive Output Version
AN70-9
Application Note 70
F
+
5V
4.2k
820
L1: 22nH INDUCTOR. COILCRAFT B-07T, TRACE INDUCTANCE OR BEAD. SEE APPENDIX F L2: COILTRONICS CTX100-3 T1: COILTRONICS CTX-02-13665-X1. SEE APPENDIX F
V
8
FB
C
4.7µF
IN
T
5961610
3300pF
R
VSL
GND
15k
121314
R
CSL
LT1533
R
T
15k
PGND V
18k
L1 22nH
COL A
COL B
C
2
15
4N28
240k
5V
+
4.7µF
T1
1k
OUT
GND
1N4148
1N4148
0.22µF
LT1431
OPTIONAL SECOND
LC SECTION
(SEE TEXT)
L2
100µH
+V
IN
2.5V
FB
+
+
9.5k 1%
2.5k 1%
Figure 25. An Optoisolated Output Variant of Figure 5. Loop Closure to VC Pin Bypasses LT1533 Error Amplifier, Enhancing Loop Stability. Noise Performance is Maintained.
L3
TO OUTPUT
COMMON
47µF
AN70 F25
OUTPUT 12V
OUTPUT COMMON
5V
+
4.7µF
14 13 12
V
IN
GND FB
3300pF
43k
L1: 22nH INDUCTOR. COILCRAFT B-07T TYPICAL,
PC TRACE, OR FERRITE BEAD. SEE APPENDIX F
T1: COILTRONICS CTX-02-13666-X1. SEE APPENDIX F
10k
5V
: 1N4148
15k
R
VSL
LT1533
C
T
R
CSL
R
T
6 5
18k
15k
32
DUTY
PGND
COL A
COL B
L1
5V
+
151689
4.7µF
T1
17V
+
100µF
100µF
+
TO OPTIONAL LINEAR REGULATORS AND/OR LC FILTERS, TYPICALLY 100µH/47µ
–17V
OUTPUT COMMON
AN70 F26
Figure 26. A Bipolar, Floating Output Converter. Grounding “DUTY” Pin and Biasing FB Puts Regulator into 50% Duty Cycle Mode. Floating, Unregulated Outputs Proportion to T1’s Center Tap Voltage. Linear Regulators Are Optional
AN70-10
As in Figure 5’s case, spectrum analyzer measurements are instrument limited. Figure 30 shows the analyzer’s noise floor in a 500MHz sweep when monitoring the unpowered Figure 26’s breadboard. In Figure 31, the breadboard is powered, but analyzer output is noise limited and essentially indistinguishable from the unpowered case. Similarly, Figure 32’s 1MHz wide “power­on” plot is identical to Figure 33’s noise floor limited “power-off” sweep. Note that linear postregulation is in use and the 40kHz fundamental components are not detectable. Figure 5’s circuit did not have linear postregulation and 40kHz fundamental residue appeared in Figure 15b.
A = 10V/DIV
B = 500mA/DIV
Application Note 70
500µV/DIV
10µs/DIV
Figure 29. Removing Optional LC Filter Causes Linear Regulator-Contributed Noise and Switching Spikes to Rise. Peak-to-Peak Noise Is Still <300µV
AN72 F29
C = 10V/DIV
D = 500mA/DIV
E = 100µV/DIV
20µs/DIV
Figure 27. Waveforms for the Floating Output Converter at 100mA Loading. Linear Postregulator and Optional LC Filter Are Employed. Slew-Controlled Collector Voltage (Traces A and C) and Current (Traces B and D) Produce Output (Trace E) with Under 100µV Noise
100µV/DIV
AN70 F27
Figure 30. HP4195A Analyzer’s Noise Floor in a 500MHz Sweep When Connected to Unpowered Figure 26
10µs/DIV AN70 F28
Figure 28. Removing All Probes Except Coaxial Output Connection Reveals Figure 27’s True Noise Figure. Switching Residue Is Just Detectable in Amplifier Noise
Figure 31. Figure 26’s “Power-On” Output Noise Is Undetectable in Analyzer’s Noise Floor Limited 500MHz Sweep
AN70-11
Application Note 70
Figure 32. Linear Postregulation Eliminates 40kHz Fundamental-Related Components in 1MHz Sweep
Battery-Powered Circuits
The basic configurations may be battery-powered for use in portable apparatus. Figure 34, similar to Figure 5, runs from 2.7V
(e.g., three NiCd batteries), producing 12V
MIN
output. This design induces no noise-based error when powering a fast 16-bit A/D converter, something almost no DC/DC converter can do. Appendix K contributes compelling testimony to this somewhat boastful claim.
2.7V TO 4V
(3 NiCd BATTERIES)
+
4.7µF
11
SHDN
3
DUTY
4
3300pF
18k
0.01µF
SYNC
5
C
6
R
10
V
14
V
IN
COL A
COL B
GND
LT1533
PGND
R
R
NFB
VSL
CSL
FB
89
T
T
C
T1
2
15
L2
16
15k
13
15k
12
7
R2
4.99k 1%
Figure 33. Turning Circuit Power Off Verifies Figure 32’s Plot Is Analyzer Noise Floor Limited. Sweep Results Are Identical to Figure 32’s “Power-On” Data
Figure 35 also operates from three NiCd cells, producing a 9V output. This design achieves 100µV output noise, qualifying it as the electronic equivalent of a 9V battery.
Performance Augmentation
In some cases it may be desirable to augment LT1533 performance characteristics. Usually, this involves addi­tional circuitry, and may necessitate trading off perfor­mance in one area to gain the desired benefit.
L3
L1
1N5817
1N5817
L1, L3: COILTRONICS CTX100-3
L2: 22nH TRACE INDUCTANCE, FERRITE BEAD OR
INDUCTOR (SEE APPENDIX F) COILCRAFT B-07T TYPICAL
T1: CTX02-13665-X1 (SEE APPENDIX F FOR DETAILS)
100µH
5V
+
R1 15k 1%
AN70 F34
OUT
C3 47µF
OPTIONAL FOR
()
100µH
LOWEST RIPPLE
+
47µF
AN70-12
Figure 34. Circuit Delivers 5V from Three NiCd Batteries, Has 100µV Wideband Output Noise. This Design Contributes No Noise-Based Error When Powering a 16-Bit A/D Converter (See Appendix K)
Application Note 70
2.7V TO 4V
(3 NiCd BATTERIES)
1N4148
+
4.7µF
11
SHDN
3
DUTY
18k
0.01µF
4
SYNC
5
C
6
R
10
V
3300pF
14
V
IN
COL A
COL B
LT1533
PGND
NFB
R
VSL
R
CSL
FB
89
T
T
C
GND
T1
2
15
L2
16
15k
13
15k
12
7
R2
3.48k 1%
L1, L3: COILTRONICS CTX100-3
L2: 22nH TRACE INDUCTANCE, FERRITE BEAD OR T1: CTX02-13665-X1 (SEE APPENDIX F FOR DETAILS)
L1
9V
100µH
1N4148
R1
21.5k 1%
INDUCTOR (SEE APPENDIX F) COILCRAFT B-07T TYPICAL
Figure 35. Electronic Equivalent of 9V Battery Operates from Three NiCd Cells. Output Noise Is Below 100µV
OUT
+
AN70 F35
L3
OPTIONAL FOR
()
100µH
LOWEST RIPPLE
C3 47µF
+
47µF
Low Quiescent Current Regulator
The LT1533 has a quiescent current of about 6mA. Figure 36’s circuit reduces this figure to 100µA by running an on-off control loop around the device. The control loop replaces the normal error amplifier, achieving regulation by switching the IC in and out of shutdown in accordance with loop demands.
Comparator C1 compares a scaled version of the output with its internal reference and biases the regulators shut­down pin. Loop hysteresis is obtained by utilizing the phase shift (e.g., time delay) of the output LC components. In a normal continuously closed loop this phase shift must be minimized and compensated. In this case it promotes the desired hysteretic control characteristic. Local AC positive feedback at C1 ensures clean transitions. Figure 37 shows the loop at work. When circuit output drops below the regulation point, C1’s output (Trace A) goes high. This enables the regulator and it responds with a burst of drive (Trace B) to the transformer. The output is restored and C1 goes low until the next cycle. During C1’s low time the regulator is shut down, resulting in the extremely low quiescent current noted. The loop’s on-off control characteristic causes low frequency output noise related to LC tank ring. Trace C shows 600µV peaks, although no wideband components are observable.
High Voltage Input Regulator
The LT1533’s IC process limits collector breakdown to 30V. A complicating factor is that the transformer swings to 2× supply. Thus, 15V represents the maximum allow­able input supply. Many applications require higher volt­age inputs and Figure 38 uses a cascoded14 output stage to achieve such high voltage capability. This 24V-to-50V converter is reminiscent of previous circuits, except that Q1 and Q2 appear. These devices, interposed between the IC and the transformer, constitute a cascoded high voltage stage. They provide voltage gain while isolating the IC from their large collector voltage savings.
Normally, high voltage cascodes are designed to simply supply voltage isolation. Cascoding the LT1533 presents special considerations because the transformers instan­taneous voltage and current information must be accu­rately transmitted, albeit at lower amplitude, to the LT1533. If this is not done, the regulator’s slew control loops will
Note 14: The term “cascode,” derived from “cascade to cathode,” is applied to a configuration that places active devices in series. The benefit may be higher breakdown voltage, decreased input capaci­tance, bandwidth improvement, etc. Cascoding has been employed in op amps, power supplies, oscilloscopes and other areas to obtain performance enhancement. The origin of the term is clouded and the author will mail a magnum of champagne to the first reader correctly identifying the original author and publication.
AN70-13
Application Note 70
(3 Ni-Cd BATTERIES)
+
4.7µF
L1, L3: COILTRONICS CTX100-3
L2: 22nH TRACE INDUCTANCE, FERRITE BEAD OR T1: CTX02-13665-X1 (SEE APPENDIX F FOR DETAILS)
11
SHDN
3
DUTY
3300pF
4
SYNC
5
C
T
18k
6
R
T
10
V
C
0.01µF
INDUCTOR (SEE APPENDIX F) COILCRAFT B-07T TYPICAL
2.7V TO 4V
V
IN
LT1533
GND
14
COL A
COL B
PGND
R
R
NFB
OPTIONAL
L3
()
SEE TEXT
100µH
12V
C3 47µF
21.5k 1%
150k
+
2.32k 1%
47µF
1.18V V
INTERNAL
Z
TO LTC1440
AN70 F36
1N4148
5V
C1
LTC1440
10pF
L1
100µH
+
+
1N4148
T1
2
15
L2
16
15k
13
VSL
15k
12
CSL
7
FB
89
Figure 36. Hysteretic “Burst ModeTM” Loop Lowers Quiescent Current to 100µA While Maintaining Low Output Noise
A = 5V/DIV
B = 10V/DIV
C = 500µV/DIV
(10kHz HIGH PASS)
1ms/DIV
AN70 F37
Figure 37. Operating Waveforms for the Low Quiescent Current Converter. Comparator Output (Trace A) Restores Output Voltage by Turning LT1533 On (Trace B). Output Noise Shows LC Ringing (Trace C), Although High Frequency Content Is Negligible
AN70-14
Burst Mode is a trademark of Linear Technology Corporation.
Application Note 70
not function, causing a dramatic output noise increase. The AC compensated resistor dividers associated with the Q1-Q2 base collector biasing serve this purpose. Q3 and associated components provide a stable DC termination for the dividers. Figure 39 shows waveforms for Q1’s operation (Q2 is identical, although of opposing phase). Trace A is Q1’s emitter, Trace B its base and Trace C the collector. T1’s ring-off obscures the fact that waveform fidelity is maintained through the cascode, although in­spection reveals this to be the case. Additional testimony is given by circuit output noise (Trace D), which measures about 100µV peak.
24V-to-5V Low Noise Regulator
Figure 40 extends Figure 38’s cascoding technique in a step-down design.15 Inputs from 20V to 50V are con­verted to a 5V/2A capacity output. Q3 and Q4 protect the regulators VIN pin from the high input voltages. The cascode must accommodate 100V transformer swings. In this instance MOSFETs (Q1-Q2) are utilized, although the divider technique is necessarily retained. RC gate damper networks prevent transformer swings coupled via gate­channel capacitance from corrupting the cascode’s wave­form transfer fidelity. Figure 41 shows that resultant cascode response is faithful, even with 100V swings. Trace A is Q1’s source, with Traces B and C its gate and drain, respectively. Under these conditions, at 2A output, noise is inside 400µV peak. Note that Q3 and Q4 protect the regulator from excessive input voltages.
10W, 5V to 12V Low Noise Regulator
Figure 42 boosts the regulator’s 1A output capability to over 5A. It does this with simple emitter followers (Q1­Q2). Theoretically, the followers preserve T1’s voltage and current waveform information, permitting the LT1533’s slew control circuitry to function. In practice, the transis­tors must be relatively low beta types. At 3A collector current their beta of 20 sources 150mA via the Q1-Q2 base paths, adequate for proper slew loop operation.
16
The follower loss limits efficiency to about 68%. Higher input voltages minimize follower-induced loss, permitting efficiencies in the low 70% range.
Figure 43 shows noise performance. Ripple measures 4mV (Trace A) using a single LC section, with high frequency content just discernible. Adding the optional second LC section drops ripple below 100µV (Trace B), and high frequency content is seen (note ×50 vertical scale factor change) to be inside 180µV.
7500V Isolated Low Noise Supply
A final form of performance augmentation is extremely high voltage isolation. This is often required in situations where circuitry must withstand high common mode volt­age effects. Figure 44 is similar to Figure 25’s isolated supply, except that it has 7500V (peak) breakdown capa­bility. Transformer and optoisolator changes permit this. The remaining operating and performance characteristics are identical to Figure 25.
Note 15: This circuit was developed from a design by Jeff Witt of Linear Technology Corporation. Note 16: Operating the slew loops from follower base current was suggested by Bob Dobkin of Linear Technology Corporation.
AN70-15
Application Note 70
24V
10k
3300pF
18k
0.01µF
11
SHDN
3
DUTY
4
SYNC
5
C
T
6
R
T
10
V
C
1N4148
1N752
5.6V
Q3
+
1µF
GND
V
IN
LT1533
9
14
24V
(20V TO 30V)
COL A
COL B
PGND
R
VSL
R
CSL
FB
NFB
8
0.003µF
68
360
2
15
L2
16
15k
13
15k
12
7
R2
2.49k 1%
3.3k
Q1
+
Q2
T1
47µF
3.3k
68
360
L1: COILTRONICS CTX100-3 L2: 22nH TRACE INDUCTANCE, FERRITE BEAD OR
Q1, Q2: ZETEX ZTX-853
Q3: 2N2222A T1: CTX-02-13665-X1 (SEE APPENDIX F FOR DETAILS)
MUR-110
L1
100µH
50V
OPTIONAL FOR
()
100µH
LOWEST RIPPLE
+ +
47µF
MUR-110
R1
97.6k 1%
0.003µF
INDUCTOR (SEE APPENDIX F) COILCRAFT B-07T TYPICAL
AN70 F38
47µF
Figure 38. A 50V Output Low Noise Regulator. Cascoded Bipolar Transistors Accommodate 60V Transformer Swings, Permitting 24V (20VIN to 30VIN) Powered Operation
A = 5V/DIV
B = 5V/DIV
C = 20V/DIV
D = 100µV/DIV
1µs/DIV AN70 F39
Figure 39. Cascode Transmits Instantaneous Voltage and Slew Information, Permitting LT1533 to Maintain Low Noise Output. Trace A is Q1 Emitter, Trace B Is Its Base and Trace C the Collector. Transformer Ring-Off Obscures Cascode Action, but Study Reveals Faithful Transmission. Output (Trace D) Has 100µV Noise
AN70-16
Application Note 70
SYNC DUTY SHDN
PGND
NFB
FB
R
VSL
R
CSL
LT1533
V
IN
COL A
COL B
14
215
16
8
7
4 3
11
5
6
10
1500pF
0.002µF
17k
0.01µF
0.002µF
L2
10µF
10k
1k
+
L1
100µH
L3
100µH
5V
OUT
13
12
7.5k 1%
2.49k 1%
220µF
MBRS140
L1, L3: COILTRONICS CTX100-3
L2: 22nH TRACE INDUCTANCE, FERRITE BEAD OR
INDUCTOR (SEE APPENDIX F) COILCRAFT B-07T TYPICAL
Q1, Q2: MTD6N15
T1: COILTRONICS VP4-0860
AN70 F40
100µF
C
T
R
T
V
C
OPTIONAL
SEE TEXT
()
+
10k
12k
GND
9
24V
IN
(20V TO 50V)
Q3 MPSA42
Q4 2N2222
4.7µF
10k
9
4
3
10
1
12
2
11
7
6
T1
5
8
Q2
1k
220
10k
220
MBRS140
+
+
Q1
Figure 40. A Low Noise 24V-(20VIN to 50VIN)-to-5V Converter. Cascoded MOSFETs Withstand 100V Transformer Swings, Permitting LT1533 to Control 5V/2A Output
Figure 41. MOSFET-Based Cascode Permits Regulator to Control 100V Transformer
A = 20V/DIV
B = 5V/DIV
(AC COUPLED)
C = 100V/DIV
10µs/DIV
AN70 F41
Swings While Maintaining Low Noise 5V Output. Trace A Is Q1’s Source, Trace B Q1’s Gate and Trace C the Drain. Waveform Fidelity Through Cascode Permits Proper Slew Control Operation
AN70-17
Application Note 70
5V
+
4.7µF 11
SHDN
3
DUTY
4
1500pF
18k
0.01µF
SYNC
5
C
6
R
10
V
14
V
IN
T
LT1533
T
C
GND
COL A
COL B
PGND
NFB
2
15
16
L2
10k
13
R
VSL
10k
12
R
CSL
7
FB
89
R2
2.49k 1%
1N4148
330
0.003µF
680
1N5817
1N5817
L1
300µH
AN70 F42
12V
L3
()
33µH
LOWEST RIPPLE
+ +
100µF
OPTIONAL FOR
100µF
0.05
Q1
T1
+
4.7µF
Q2
R1
21.5k 1%
Q1, Q2: MOTOROLA D45C1
0.05 330
1N4148
L1: COILTRONICS CTX300-4 L2: 22nH TRACE INDUCTANCE, FERRITE BEAD OR
INDUCTOR (SEE APPENDIX F) COILCRAFT B-07T TYPICAL
L3: COILTRONICS CTX33-4 T1: COILTRONICS CTX-02-13949-X1
: FERRONICS FERRITE BEAD 21-110J
Figure 42. A 10W Low Noise 5V-to-12V Converter. Q1-Q2 Provide 5A Output Capacity While Preserving LT1533’s Voltage/Current Slew Control. Efficiency Is 68%. Higher Input Voltages Minimize Follower Loss, Boosting Efficiency Above 71%
A = 5mV/DIV
B = 100µV/DIV
2µs/DIV
AN70 F41
Figure 43. Waveforms for Figure 42 at 10W Output. Trace A Shows Fundamental Ripple with Higher Frequency Residue Just Discernible. Optional LC Section Produces Trace B’s 180µV
Wideband Noise Performance
P-P
AN70-18
Application Note 70
+
IN
T
4.7µF
14
R
GND
5
3300pF
5V
4.2k
820
L1: 22nH INDUCTOR. COILCRAFT B-07T, TRACE INDUCTANCE OR BEAD. SEE APPENDIX F L2: COILTRONICS CTX100-3 T1: COILTRONICS CTX-02-13950. SEE APPENDIX F
V
5
FB
C
15k
13 12
R
VSL
LT1533
9
R
15k
CSL
T
18k
PGND V
Figure 44. A 7500V Isolation Version of Figure 25. Transformer and Optoisolator Are Changed to Achieve Isolation and Noise Immunity. Circuit Operation Is as Before
L1 22nH
C
10166
COL A
COL B
MOC-8112
5V
+
4.7µF
2
15
1N4148
T1
1N4148
1k
OUT
GND
OPTIONAL SECOND
0.22µF
– +
LT1431
L2
100µH
+V
IN
2.5V FB
LC SECTION
(SEE TEXT)
9.5k 1%
2.5k 1%
L3
TO OUTPUT
COMMON
+
47µF
AN70 F44
OUTPUT 12V
OUTPUT COMMON
Note: This Application Note was derived from a manuscript originally prepared for publication in EDN magazine.
AN70-19
Application Note 70
REFERENCES
1. Shakespeare, William, “Much Ado About Nothing,” II, i, 319, 1598-1600.
2. Williams, Jim, “Design DC/DC Converters to Catch Noise at the Source,” Electronic Design, October 15, 1981, page 229.
3. Williams, Jim, “Conversion Techniques Adapt Voltages to Your Needs,” EDN, November 10, 1982, page 155.
4. Tektronix, Inc. “Type 535 Operating and Service Manual,” CRT Circuit, 1954.
5. Tektronix, Inc. “Type 454 Operating and Service Manual,” CRT Circuit, 1967.
6. Tektronix, Inc. “7904 Oscilloscope Operating and Service Manual,” Converter-Rectifiers, 1972.
7. Hewlett-Packard Co. “1725A Oscilloscope Operating and Service Manual,” High Voltage Power Supply,
1980.
8. Arthur, Ken, “Power Supply Circuits,” High Voltage Power Supplies, Tektronix Concept Series, 1967.
9. Williams, Jim and Huffman, Brian, “Some Thoughts on DC/DC Converters,” Low Noise 5V to ±15V Converter and Ultralow Noise 5V to ±15V Converter, pages 1 to 5, Linear Technology Corporation Application Note 29, 1988.
10. Williams, Jim and Huffman, Brian, “Precise Con­verter Designs Enhance System Performance,” EDN, October 13, 1988, pages 175 to 185.
12. Williams, Jim, “High Speed Amplifier Techniques,” Linear Technology Corporation Application Note 47,
1991.
13. Witt, Jeff, “The LT1533 Heralds a New Class of Low Noise Switching Regulators,” Linear Technology, Vol. VII, No. 3, August 1997, Linear Technology Corporation.
14. Morrison, Ralph, “Noise and Other Interfering Signals,” John Wiley and Sons, 1992.
15. Morrison, Ralph, “Grounding and Shielding Tech­niques in Instrumentation,” Wiley-Interscience,
1986.
16. Sheehan, Dan, “Determine Noise of DC/DC Convert­ers,” Electronic Design, September 27, 1973.
17. Hewlett-Packard Co. “HP-11941A Close Field Probe Operation Note,” 1987.
18. Terrien, Mark, “The HP-11940A Close Field Probe: Characteristics and Application to EMI Trouble­shooting,” RF and Microwave Symposium, available from Hewlett-Packard Co.
19. Pressman, A.I., “Switching and Linear Power Supply, Power Converter Design,” Hayden Book Co., Hasbrouck Heights, New Jersey, 1977.
20. Chryssis, G., “High Frequency Switching Power Supplies, Theory and Design,” McGraw Hill, New York, 1984.
11. Tektronix, Inc. “Type 1A7A Differential Amplifier Instruction Manual,” Check Overall Noise Level Tangentially, pages 5-36 and 5-37, 1968.
AN70-20
APPENDIX A A HISTORY OF LOW NOISE DC/DC CONVERSION
Application Note 70
Why are batteries low noise power sources? Why do 60Hz AC power line derived linear regulators have low output noise? As with most innocent questions, thoughtful answers provide surprising insights. These sources have low output noise because they have low harmonic energy content. A 60Hz fundamental driven supply produces some harmonic activity, but power becomes very small well inside 1kHz. A battery is even better.
These conclusions set a direction towards designing low noise DC/DC converters. If the goal is low noise, the key is reduction of harmonic energy, in particular, wideband harmonics. This simple guideline is central to LT1533 operation, although refinements are necessary for a gen­erally applicable IC.
History
The notion of minimizing harmonics in DC/DC conversion to get low output noise is not new. Oscilloscopes have used this technique to generate high voltage CRT acceler­ating potentials without degrading instrument operation.
1
Designing a 10,000V output DC/DC converter that does not disrupt a 500MHz, high sensitivity vertical amplifier is challenging.
Figure A1 shows the CRT DC/DC converter from a Tektronix 454 oscilloscope. Q1430, configured as a modified Hartley power oscillator, drives T1430. T1430’s output is multi­plied by the diode-capacitor tripler, producing 12,000V. Feedback to Q1414 is summed against a 75V derived reference, closing a regulation loop around the power oscillator.
The sine wave transformer drive (see waveforms in the figure) has low harmonic content, resulting in the desired low conducted and radiated noise. This approach is not very efficient—Q1430 operates in its linear region—but the power loss is acceptable in a 125W instrument.
Tektronix 7000 series oscilloscopes used a resonant, off­line converter to power the entire instrument. As before, CRT high voltage was generated separately (see Footnote
1). Figure A2, a partial schematic of a Tektronix 7904 power converter, shows a series resonant network, L1237­C1237 in the Q1234-Q1241 drive path. This results in sine wave drive to output transformer T1310, despite Q1234­Q1241’s rectagular waveshape. Feedback (not shown) closes a loop around this stage, stabilizing its operating point. The resonant, sine wave transformer drive provides the desired low noise characteristics with good efficiency.
A less specific example appears in LTC Application Note
29. Figure A3, a partial schematic of Application Note 29’s Figure 4, shows a sine wave oscillator (A1 based) driving a power amplifier (A3 and Q2 to Q6). L3, the output transformer, provides voltage boosted secondary drive to linear regulators (not shown). This brute force approach provides a converter with extraordinarily low noise, but is complex and inefficient. Q4 and Q5, operating in their linear regions, dissipate considerable power, and effi­ciency is 30%.
Figure A4’s approach, also from AN29’s Figure 1, achieves better efficiency. The partial schematic shows source followers driven from 100-0.003µF edge slow-down networks. This slows down the transistor’s transitions, resulting in harmonic reduction and low noise. Unfortu­nately, the drive scheme is complex and somewhat inflex­ible, requiring bootstrapped voltages to fully switch the transistors on and off. Additionally, a transformer change would require drive rework to maintain efficiency and low noise characteristics. Finally, the dynamic voltage and current control in the transistors is passively determined and not very well controlled.
The LT1533 uses closed-loop control2 around its output stages to tightly control voltage and current slewing. This allows a variety of circuits and magnetics to be easily accommodated, resulting in a true general purpose solu­tion. Text Figure 3 and the associated discussion provide more LT1533 operating details.
Note 1: Ancillary benefits include eliminating a complex and expensive high voltage winding in the main power transformer, avoidance of long, high voltage wire runs and space and weight savings.
Note 2: Patent pending.
AN70-21
Application Note 70
Copyright 1967 Tektronix, Inc.
All rights reserved.
Reproduced by permission
AN70-22
Figure A1. Tektronix 454 CRT Circuit Uses Sine Wave Drive for Low Noise DC/DC Conversion.
Efficiency Is Poor, Because Q1430 Remains in Linear Region
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