Design of bang-bang controlled dc-dc buck converter integrated with LDO
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Design of bang-bang controlled dc-dc buck converter integrated with LDO Thesis submitted according to the partial requirements for the degree of Bachelor of Technology (HONS) In Electrical Engineering By Rajeev Kumar Dokania Roll No-9918114 Under The Guidance of Prof. Shri Amit Patra Department of Electrical Engineering Indian Institute of Technology Kharagpur Kharagpur –721302, INDIA May, 2003 1
Department of Electrical Engineering Indian Institute of Technology Kharagpur Kharagpur-721302, INDIA May, 2003 CERTIFICATE This is to certify that the thesis entitled “Design of bang-bang controlled dc-dc buck converter integrated with LDO.” is submitted in partial fulfillment of the requirements for the award of the degree of Bachelor of Technology (Hons.) in Electrical Engineering at the Indian Institute of Technology, Kharagpur. It is a faithful record of bonafide research work carried by Mr. Rajeev Kumar Dokania (Roll No. 9918114) under our supervision and guidance. It is further certified that no part of thesis has been submitted to any other University or Institute for the award of any other Degree or Diploma. Prof. Amit Patra Associate Professor Department of Electrical Engineering Indian Institute of Technology Kharagpur Kharagpur – 721302, India 2
Acknowledgement I thank Prof Shri Amit Patra for providing me with this wonderful opportunity. I am delighted that he not only offered to be my final year project guide, but also let me work on things, I was very keen on working. He has been very patient with me and was ever ready to listen to me. I used to go to his room whenever I was finding him there. Even after being so busy he was always there to listen to me, to encourage me, and being more and more demanding. He has helped me learn a lot. Under his guidance I have learnt things; I wouldn’t have ever imagined I would be doing once. Sincerely thank you sir, thank you very much. Special thanks go to Mr. Shailendra Kumar Baranwal, for helping me understand things properly. He made me realize what all are the things one should take care of while designing a circuit, a knowledge that has been very valuable for me, furthermore he has been very helpful to me while doing the layouts I must thank Mr. Ravinder Pal Singh, for giving fundaes about the layouts, and helping me out whenever I was in a need for help. He has helped me out while doing the design submission, debugging those 10,147 drc errors. Thanks once again. Special thanks to Mr. Syed Asif Eqbal and Mr. Ershad Ahmed for I have used their layout for the PMOS switch and the hysteresis comparator. Lastly I would like to thank my friend Mr. Padmanava Sen and Mr. Vipul Garg for giving me important tips on layout design. I must thank all of my friends, for very patiently sharing with me my excitement, whenever I realized a circuit successfully. 3
Synopsis Title Design of bang-bang controlled dc-dc buck converter integrated with LDO. Candidate Rajeev Kumar Dokania Roll Number 9918114 Degree B.Tech. (Hons) in Electrical Engineering Project Guide Prof. Amit Patra Institution Indian Institute of Technology Kharagpur Kharagpur – 721302, India Signature of the Guide Signature of the Candidate Prof. Amit Patra Rajeev Kumar Dokania Date: Date: 4
Table of contents 1. Introduction………………………………….................06 2. Design of DC-DC converter Blocks……………………16 3. DC-Dc Buck converter, the final circuit………………38 4. LDO topology and DC-DC integrated with LDO……...43 5. Conclusion……………………………………………....49 6. Appendix…………… …………………………………..53 References………………………………………………....62 5
1. Introduction: Power supplies are the most important and fundamental aspect of an electrical system. For most of the integrated circuits (ICs), the input supplies are derived from already available dc supplies like batteries, but these supplies are generally noisy and are not stable, worst they show large variations with the load. Modern state-of-the-art technologies put stringent requirements on the power supplies, and regulators are designed to meet these objectivities. A good power supply is expected to have these characteristics. • should be ripple free • should be able to give regulated voltage supply at high load • should be very efficient • The transient response i.e. change of voltage with the sudden change of load should not be much. • Should work with large input voltage variations, as most of the time the ICs work on lithium batteries, the range of voltages for which is very high. So its highly desirable that we extract most out of the battery. • The line regulation and the PSRR performances should be good • The no load power consumption should be practically zero. So as we go for designing a regulator module these 7 make up the performance parameters that need to be taken care of… In battery operated system we can think of two kinds of regulator modules. 1.) linear Regulators (LDO) 2.) switching type(SMPS) 6
1.1) LDO regulator Linear regulators or series regulators, use a pass switch between input and output, an error amplifier and a reference voltage. The blocks are so connected such that the conductance of the pass device can be modulated to maintain nearly constant output voltage regardless of supply voltage and load current variations. 1.2) Switching regulator Switching type regulators are the mixed mode circuits, where the feedback loop employs mixed signal i.e. both analog and digital. In case of ICs mostly dc-dc converters are used and typically the dc-dc converters are comprised of a PWM controller, switches, capacitors, diodes and inductors. The switching type regulators can be used even without the inductances (e.g. employing the charge pump circuits), but they normally can’t be operated for large currents. 1.3) Which one is better? : Tradeoffs In switching type regulators the output is not ripple free. They induce substantial noise on the output voltage and generally don’t have a good load dump characteristics. The output voltage will be having ripples. And as we go for decreasing that ripple the switching frequency requirement will go up so will the switching losses and also the substrate noises. Thus once forced for ripple free performance the switching type regulators fail to deliver. The linear regulators respond faster to the load dumps, are less noise sensitive and give a ripple free performance. The LDO regulator has a good ripple free performance a good PSRR and a good line regulation thus ripple performance wise the linear regulators are better. In terms of power efficiency, Switching regulators are very power efficient with the efficiency in the range of 80 to 95%, but for the linear regulators the maximum power efficiency that a 3V linear regulator can achieve with a 6V power supply is just 50%. Thus that means that linear regulators are the worst when the efficiency is considered. But that is not actually the case the efficiency of the linear regulators improves significantly as the difference between the output and the input voltages goes down, but 7
this minimum difference is again limited by what is called the dropout voltage of the linear regulator. And hence a low drop-out regulator is desired. 1.4) Demand Both the types of regulators have certain advantages over others and depending upon the requirements one is preferred over other, while sometime both are cascaded to give the best of both the world. Fig1.4.1 the performance-preference chart Thus as is evident from the chart above whenever efficiency is the main constraint the SMPS is the obvious choice, e.g. the desktop microprocessors benefits from the large efficiency of the SMPS, while drawing large current at high input–output voltage differences. Whereas high performance analog circuit blocks prefer low noise and cost- effective linear regulators, but with the advent of portable equipments like cellular phones, pagers, laptops, the requirement and coexistence of both the regulator is necessary. In these applications, the power management IC drives noise sensitive circuits from relatively high input supply voltages. The switching type regulator regulates this voltage down to a value near about the output voltage…and thereafter the linear regulator block regulates it to the low noise output voltage. This way the topology benefits from 8
both, the high efficiency of the switching type regulator and the good noise performance of the linear regulators…. Fig1.4.2 the SMPS and LDO cascaded Thus we find that as we place more and more stringent requirements on the regulator modules. We need to go for a realization where the switching type regulators and the linear ones both need to play their part. In next chapters the design of both the Switching type regulator and the LDO will be taken care of. 1.5.) Design of Switching type regulators. The design and control of a DC-DC Buck Converter is an active research area both in automatic control theory and power electronics. The idea behind the design is to get a complete on chip DC-DC Buck converter (excluding the inductor, output capacitor and the diode). Most of the commercially available DC-DC Buck converter chips are based on the PWM (pulse width modulated) control technique and suffer from the high value of the no load current. The present design is an attempt to improve the converter’s no-load current requirement using Constant Volt-Secs Bang-Bang control scheme. This scheme 9
has the unique future of high efficiency during moderate loads as well as a very low value of current consumed by the chip during the no-load condition. The present target of the design is to reduce the no-load current down to 8µA. This type of converter is of great importance in the mobile devices where the complete circuit is in the active mode for very small durations and hence the converter works under almost no load condition for most of the time. So any little saving in power will enable us to use the same battery for longer durations without recharging. Furthermore the design works on the logic determined by the peak current detector and the zero-crossing detectors .thus there is no need for any oscillator here. The oscillator usually is the most power consuming in no lad condition and hence by avoiding it we will be economizing on power, further the substrate noises in this case will be lesser. This kind of scheme is better than most common PWM based drive. The efficiency of the regulator overall is very high, more so during no load condition and hence finds its applications in mobile industry where the cell operated mostly in no load condition, further the lithium battery used there is very costly and hence a power efficient regulator is desired. From this point of view the scheme just proposed is better. 1.6) BASIC Fig1.6.3 The topology of the Buck converter 10
Consider the circuit shown in Fig-1.6.3. It shows the common buck converter topology along with a block level representation of the control circuit. The converter has got two state variables, viz.: the inductor current and the capacitor voltage. The objectivity of the control circuit is to help achieve these state variables those values that are desired from user point of view. Here for example, the output voltage i.e. the capacitor voltage is the desired quantity and it should maintain a fairly constant value irrespective of the load or supply variations. The control circuit achieves this by changing the state of the MOSFET switch which in turn changes the structure of the system. When the switch is ON, E is connected to inductor and diode is OFF. On the other hand, when the switch is OFF, E is not connected to any other part, but the state of diode will depend on whether the inductor current is continuous or not. If the inductor current is continuous, diode is ON, otherwise it is OFF. So we see that there are three different possible configurations and the corresponding system equations are as follows: • Configuration I: PMOS ON, DIODE OFF In this configuration the current across the inductor ramps up with a slope of (E-Vout)/L, while the voltage across the capacitor also increases as the charging current flows across it, though the voltage discharge operation is also there due to the load connected across the capacitor. • Configuration II: : PMOS OFF, DIODE ON In this configuration the current across the inductor ramps down with a slope of (– Vout)/L, while the voltage across the capacitor still builds up as the average current across the capacitor is still positive, though here again due to load connected across the capacitor the discharging will be there, but if the load current is less than Ip/2 (as is the case in my scheme), then in this configuration also the voltage will build up. • Configuration III: PMOS OFF, DIODE OFF In this configuration both the PMOS and the Diode is off , and hence the inductor current is zero, so no charging current will be there across the capacitor and hence the capacitor voltage will decay depending upon the load current. 11
Here while configuration I & II occur when the circuit is acting in mode 1, the configuration III occurs while the circuit is acting in mode 2. 1.7) Scheme We see that if switch goes through a whole cycle of Ton and TOff then inductor current changes from I1 to I2 and comes back to I3. I3 and I1 need not be always same, but can be made so. In fact, during the steady state operation of the converter, I3 should come down to I1. The control circuit that is shown in Fig-1.6.3, precisely does this and not only this, it also keeps value of I1 (=I3) and I2 fixed. The waveform of inductor current is shown in Fig-1.7.1. It is a triangular waveform with base at zero and vertex at Ip. So we find that I1 is kept at zero and I2 at Ip (peak value of the triangular current waveform). It should be noted that for this type of control of inductor current, there is no state of Config-3. This type of current conduction is called just discontinuous conduction. To achieve it, we use a peak-current detector and a zero-crossing detector, with these two as input, the control logic gives the appropriate gate pulses so that at no time the transistor current exceeds its rated value (Ip). Now let’s come to the output voltage Vout. Suppose at some instance of time when the circuit is operating in MODE-I, with each of the triangular pulse of current in the inductor, capacitor will get charged with that much amount of electric charge in each of those pulses. The rate of rise of capacitor voltage will be proportional to the difference between this charging rate and the discharging rate due to the load connected to C. As inductor current always oscillates between zero and Ip, its average value is Ip/2. By design, this value is kept more than the full load requirement. So there exist a positive difference between rate of charging and rate of discharging and this difference increases as the load is reduced. This difference will led to a gradual increase in the capacitor voltage. Now consider the situation when instead of a fixed value of Vout, we allow a band of ±∆V about Vout. So to control the output voltage within this band, the output voltage is fed back to a Hysteresis Comparator (Also know as Schmitt Trigger) as shown in fig-1.6.3. A Hysteresis comparator has got two different trip points for rising input voltage (here our input is our Vout) and falling input voltage. As Vout rises due to the difference in the charging and discharging rates of the capacitor, at the upper trip point of 12
Vout + ∆V, Hysteresis comparator disables the gate-drive signal and the circuit operates in MODE-II. While in MODE-I, the drive is determined from the peak-detector’s and the zero-crossing detector’s output, The two modes differs in that the pass device is continuously switched ON and OFF with Ton and Toff periods in MODE-I, it is completely switched OFF in MODE-II. So MODE-I comes with a burst of pulses whereas MODE-II doesn’t have any and the switch is always OFF. The circuit remains in Config-3 as long as it is in MODE-II. In MODE-II, as there is no charging of the capacitor, its voltage falls down as the load is always there. As soon as it crosses the lower trip point (Vout – ∆V) of the Hysteresis comparator, the peak-current detector and the zero-crossing detector as well as the previous state of the latch that is there in the control circuit determines the gate drive signal and the converter again enters MODE-I. This cycle of MODE-I and MODE-II goes on and we get the output voltage within our range of V ±∆V. Fig1.7.1 the typical performance characteristics 13
1.8) Advantages of Constant Volt-Secs Bang-Bang Control (without oscillator) scheme: • No reverse recovery losses( ZERO current switching) At the end of each cycle, the inductor current always comes to zero level. So even if the whole of E is applied at the beginning of Ton, there will not be any reverse recovery losses in the diode. So reduction in losses gives a high efficiency during loaded conditions. • Zero losses at low load condition We have seen that there are two modes of the converter. Only MODE-I requires pulses from the oscillator. So even if oscillator is switched OFF during MODE-II, there in no harm in it. In the entire control circuitry, oscillator consumes maximum current, and a sleeping oscillator means a lot of power saving. The saving is not much when the load is at its highest, but as the load too goes to the sleep mode, the converter remains mostly in MODE-II and then saving will be quite substantial. Therefore this saving may actually surpass even the first one. • Low substrate noise As we are not using any oscillator here, it adds to our advantage as when in mode2, there isn’t any switching and hence no substrate noise will be there. But had the oscillator been there would have been considerable substrate noise. • Power saving due to no oscillator As the switching decisions are taken based on just the peak-detector and the zero- crossing detector, thereby obviating the need for oscillator. The topology is very efficient during low load conditions as mostly oscillator is the main lossy element at no load condition. • Suppression of load or supply line effects Due to the use of the Hysteresis comparator and an independent Voltage Reference, the output voltage is free of any load or supply line effect. 14
1.9) Specification for the converter design • can support a load current of up to 220mA • Supply voltage variation between 4.5 to 9V • Output voltage- user defined, between 1.3V to input voltage • Quiescent current 8uA • 18 pin- DIP package • Estimated 1.5mm*2mm chip area 1.10) Different blocks used • Band-gap reference • Current source and sinks • Peak current detector • Zero crossing detector • Hysteresis comparator • Pmos switch • Startup circuit • Control block • Gate-drive circuit 15
2.) Design of Dc-Dc converter Blocks 2.1Band-gap reference Fig2.1.1 the basic architecture The Guiding equations: I*R=Vt * ln(n)…………………….(2.1) Vbe+k*m*R*I=Vref……………….(2.2) Fig2.1.2 Vbe and Vt variation with temperature Thus if, m1+ s*m2=0; We have k*m*ln(n)= s; for design to be temperature insensitive. 16
Startup-why? ¾ I=0, is also a stable operating point. Explanations: The purpose of the voltage reference is to provide a constant reference voltage independent of temperature or the supply voltage and also the process. The principle of the band-gap voltage reference is to balance the negative temperature coefficient of a PN junction with the positive temperature coefficient of the thermal voltage Vt = kT/q. The Vbe shows a drop of 2mv/degree Celsius while the thermal voltage increases at a rate of 0.085mv/degree Celsius. This fact is utilized while designing the band-gap reference circuit. There are two stable points of operation for a band-gap voltage reference. One corresponds to zero voltage at the output and the other one is for the desired 1.2V at the output. The start-up circuit is provided so as to bring the operation of the circuit to the other operating point i.e. 1.2V at the output. Schematic: Fig2.1.3 the schematic (Band-gap) 17
Performances: Fig2.1.4 the performance with supply voltage variations 18
Fig2.1.5 the performance with temperature variations 19
Fig2.1.6 the PSRR and the supply noise attenuation@100mV peak-peak noise 20
Typical performances: ¾ Line regulation: -72dB (variations of only 4mv over input sweep from 4V to 10V). ¾ Temperature: 12ppm (shows only 3mv variations for temp Sweep between -10 to 100 degree Celsius). ¾ PSRR: minimum -25dB for compensation capacitor of 50Pf, is near 30 dB for compensation capacitance of 100Pf. ¾ Process corners: shows a variations of max 4mv over the process corners. Further improvements: To further improve upon the line regulation we can use a use a non-linear resistance in given configuration , it will show a drop in output voltage with the change of supply, thereby effectively canceling out the slight increase in output voltage with the supply, but the PSRR performance deteriorates, and hence has not been used. Fig2.1.6 band-gap reference (II) 21
2.2) Biasing currents: From the reference voltage itself, Fig2.2.1 the schematic for current source/Ibias Ibias given by the circuit is: ¾ Temperature independent 22
¾ Process independent & ¾ Supply voltage variations independent. Why process independent? ¾ High channel length means lesser channel modulation effect. ¾ The Vref is dependent upon the ratio of the resistances and not the absolute value of them. ¾ Further trimming circuits can be incorporated for facilitating complete independence with the process variations. 2.3.) Peak- current detector Explanations: Peak detector circuit can be realized by various current sensing techniques. Of the various possible schemes available, we use the SenseFet method as it’s the most efficient technique. There are two possible topologies for the realization of the scheme. Topology 1: Using an op-amp and a series transistor, the idea is to make the drain voltage of the two transistors Mp1 and Mp2 same using the error amplifier that modulates the impedance of the transistor Mp3 to meet this objectivity. But as here the transistors are in triode region, if there is even a little mismatch in the drain voltages, the error in current calculation will be huge. And hence is not generally used, as the gain requirement of the error amplifier is very large here, and the offset of the amplifier creates problem, for we can’t really allow even a small mismatch on the two input voltages. 23
Fig2.3.1 Topology1 Topology2: In this topology the two drain voltages are again forced to be same, but by an inherent feedback loop, the current across Mp1 is much reduced as the aspect ratios of the transistors are different. The current in the transistor Mp1 is mirrored in much reduced ratio, say 1:1000 and then the mirrored current is passed through the resistance. The overall efficiency of the system remains intact as the mirrored current is not much with respect to the load current, further at no load the mirrored current is also zero, so there again the arrangement doesn’t causes much problem 24
Fig 2.3.2: The topology-II How does it work? : ¾ Current is mirrored from the PMOS in a much reduced ratio ¾ Then the mirrored current is passed through the resistance of known value. ¾ Voltage drop across the resistance gives the measure of peak current. ¾ Can be utilized for protection also. 25
Schematic: Fig 2.3.3: the schematic of the peak-detector circuit. 26
Waveforms: Fig2.3.4 load current Vs mirrored current Fig2.3.5 The peak-detector’s performance at various supplies (5V-9V) 27
Performance: • The spread of values for the detector is just 2% for supply variations between 5V to 9V. • With the process corner the variation was just 1.5%. • The detection depends upon the value of the resistance which shows 10% tolerance. • Overall the characteristics of the mirrored current with the load current was linear 2.4.) Zero crossing detector Explanations: The zero-crossing detector is suppose to detect the zero crossing of the voltage across the diode, as the voltage across the diode will be –ve, we need the level shifter circuits, so that the configuration works fine. So in the configuration two similar level shifter circuits are used at the two stages, that level shifts the input by 1.3v, thereafter the level shifted inputs are used as the inputs to the differential opamp and output of this circuit is used by the control circuit to determine the control logic. The topology: Fig 2.4.1: zero-crossing topology 28
Schematic: Fig2.4.2 The schematic Performance: Fig2.4.3 The detector’s output characteristics at various supply (5V to 9V) 29
Further improvements: Fig2.4.4 auto-zero-cancellation (for offset minimization) ¾ Will need continuous refreshing ¾ Problem of synchronization of the refreshing circuit with the control circuit will be there. Thus we don’t go for this complex scheme; rather a simple zero-crossing detector with high gain will be enough. 2.5) Gate drive circuit: Explanation: we need a gate drive circuit that can take care of the large charging and discharging current, thus a source and a sink must be realized when this drive is implemented using a push-pull configuration, the input to the transistor should be given carefully, as during the 30
switching, the two transistors in push-pull configuration may momentarily provide a short circuit path, resulting into a large shoot-through current. This shoot through current can Fig2.5.1 The topology be taken care of by providing some dead-zone in the drive signal to the two transistor in the push-pull configuration. The scheme proposed below, does just that. Scheme proposed: Fig2.5.2 the proposed scheme and the waveforms 31
Schematic: Fig2.5.3 the schematic of the proposed scheme Performance: Fig2.5.4. current and the output waveforms giving dead-zones 32
2.6) control circuit Explanation: The control scheme is required to work based on the peak current detector and the zero- crossing detector’s output. The peak current detector’s and the zero-crossing detector’s output after edge detector is fed to the nand-latch, that determines the gate-drive signal at any moment. The zero-crossing-detector’s output’s +ve going edge is detected by the edge detector to prevent against any glitch in the logic determined from the control block, furthermore the hystersis controller’s output is used to enable or disable the gate drive signal. The startup signal is ored with the peak current detector’s output to prevent against starting glitches (explained later on). The control scheme: Fig.2.6.1 the scheme in blocks 33
Fig2.6.2 the schematic The waveforms: Fig2.6.3: typical waveforms from different circuit and the control logic 34
2.7) Initialization & start-up block Explanation: As during power up the ref block requires some 80us before settling to the desired voltage of 1.2V, thus we should take care that the control logic doesn’t work during that instant, to disable the control logic, and also to give the initialization signal for the control logic’s latch to work properly i.e. free of any glitches we require this block. Schematic: Fig 2.7.1 the schematic and the layout of the initialization block 35
Performance: Fig 2.7.2 the startup and the initialization signal 2.8.) Hysteresis comparator Explanation: whenever the output voltage reaches the vdesired + vtrip+ , the hysteresis comparator’s output disables the gate-drive determined by the peak detector and the zero-crossing detector, the circuit operates in Mode-I, till the output voltage becomes vdesired - vtrip-, at this point the circuit again goes into Mode-II, and the usual logic determines the drive. 36
Scheme Proposed: Fig2.8.1 the Hysteresis comparator scheme How does it work? : At a time when Vin (Vin =Vref-Vfb)
3.) DC-Dc Buck converter, the final circuit Schematic: Fig3.1 the schematic of the final circuit Performance (final-circuit ): 38
Fig 3.2 Gate drive signal and the Vout Fig3.3 the transistor current and the gate drive signal 39
Fig3.4 the inductor cuurent and the gate-drive signal @Iload=50mA Fig3.5 the gate drive signal and diode voltage 40
Fig3.6 the gate-drive signal and output with the LDO integrated Pin-specifications: • VDD! • Gnd! • Lx • Vref • Peakdetect • Gate • Initialout • Power disable • gatedrive • logic0 • edgeout • zerodetectout • hysteresisout • startup • vfb 41
Testing: Fig3.7 Test setup By varying the load (RL), various analyses can be done. Various pins that are not normally required for operation have been taken out, just to see whether the circuit performance is, as was expected based on simulation results. The RC combination is given at the LX input; it acts as a snubber and also wards off from the ringing effect that would have been there due to the bond-pad inductances. 42
4.) LDO topology and DC-DC integrated with LDO Explanation: Linear regulators or series regulators, use a pass switch between input and output, an error amplifier and a reference voltage. The blocks are so connected such that the conductance of the pass device can be modulated to maintain nearly constant output voltage regardless of supply voltage and load current variations. The Architecture: Fig4.1 Basic LDO Topology 43
Schematic of the LDO: Fig4.2 the LDO schematic 44
Performance: Fig 4.3 the output voltage Vs the input voltage @peak laod, dropout=200mv 45
Fig 4.4 the output voltage Vs input voltage at different loads 46
Fig 4.5 the PSRR performance of the output voltage The dc-dc buck converter and LDO integrated: Fig 4.6 the gate pulses, hysteresis converter’s output and the dc-dc converter output 47
Fig4.7: the dc-dc buck converter output and the regulated LDO output 48
5.) Conclusion The design specification: • Can support a load current of up to 220mA • Supply voltage variation between 4.5 to 9V • Output voltage- user defined, between 1.3V to input voltage • Quiescent current 8uA • 18 pin- DIP package • Estimated 1.5mm*2mm chip area Overall the performance of the circuit is very good, its very efficient and is having very less noise due to absence of the oscillator, that otherwise would have created the substrate noise. The only glitch is about the inductance value that at 500uH or above is a very high requirement; we can go towards lower value of inductances at lower input voltages. Like the requirement will be only 200uH or above for input voltage between 4-5 V, but as the input voltage goes up, the inductance value requirement goes up to ensure, that the circuit is working properly. With 500uH inductance the circuit can be operated for the supply voltage range of 4-10V. If we would have used the fast logic circuits and higher gain amplifiers, than also we could have used lesser value of inductance, as the delay in these circuits are the limiting factors, this design is better than the variable frequency variable duty cycle oscillator based design in one more aspect in that for any value of inductance above the minimum value the circuit operates without any glitch and can support the rated current, unlike the variable frequency variable duty cycle oscillator based design , where if higher value of inductances would have used, the circuit wouldn’t have supported the rated load current, thereby necessitating the inductor sensing to dynamically optimize the circuit for various inductances, undoubtedly that would have been a very complex excersise, and wouldn’t have been cost effective, as the inductance sensing circuit would have necessitated ADC-DAC design and also the memory for storing information about the inductances. The diagram below is for an external inductance sensing. 49
Fig5.1 External inductor sensing circuit [12]. As is obvious, the circuit topology is complex and wouldn’t have been cost effective, thus the scheme that I have implemented is better, as it always gives the optimized performance, no matter whatever is the inductance value. Further improvements: ( towards completely lossless switching) The circuit scheme that has been implemented uses zero-current switching, and hence the switching action that take place while the current is zero are lossless, but a careful examination will show that some switching action take place at peak load current and that is not lossless, thus a scheme is desired so that we can go for completely lossless switching, the scheme explained below does just that, though it reduces the load driving capability of the circuit, is still very efficient, as all the switching are loss-less. 50
Zero-Voltage Switching: (towards loss-less switching) Fig5.2 the basic Topology T1 : ON OFF I 0 Æ0 1Æ0 V 1Æ0 0Æ1 T2: ON OFF I 0 Æ1 0Æ0 V 1Æ0 0Æ1 Fig5.3 the switching diagram 51
Scheme proposed: Fig5.4 the proposed scheme for zero-voltage switching ¾ Introduction of a capacitance. Waveforms: Fig 5.5 the voltages and current during zero-voltage switching ¾ T1 & T2 both will be having zero voltage switching now. ¾ But capacitor charging introduces loss…thus need an optimization ¾ But the load driving capability is lesser here. Overall the scheme proposed can meet the stringent requirements from modern state-of- the-art technologies, giving stable, noise-free regulated supply, though possibility of improvements is always there. 52
6.) Appendix Fig6.1 layout of the ref and bias circuit 53
Fig6.2 the layout of the peak-detector circuit 54
Fig6.3 the of Zero-crossing detector 55
Fig6.4 the layout of the control logic & gate drive 56
Fig 6.5 the layout of the initialization block 57
Fig6.6. the layout of the final circuit 58
Fig6.7 the layout with bond-pad and scribes 59
Schematic& layout of hysteresis converter (Courtesy: Ershad Ahmed & Syed Asif Eqbal) Fig 6.8 the schematic and the layout 60
HIGH CURRENT PMOS SWITCH (Courtesy: Syed Asif Eqbal and Ershad Ahmed) Explanations: The whole of the supply current passes through this PMOS switch and hence it needs to be designed very carefully. The layout is especially important as the maximum current which can pass through it is Ip. In our design, the PMOS switch has a Width / Length ratio of 74,000/2.2 µm. The design objective is to keep the ON state resistance below 1 ohm and peak operating current carrying capability of 500 mA. The schematic circuit is shown in Fig-15. The circuit layout is done using substrate connection for latch-up prevention Fig6.9 the Layout of the PMOS Switch (Courtesy Asif and Ershad) 61
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Page(s): 575 -578 14.) A new average model of switching converters Cheng, R.-J.; Hu, Z.-H.; Circuits and Systems, 1988., IEEE International Symposium on , 7-9 Jun 1988 Page(s): 1147 -1150 vol.2 15.) Hybridge zero-current-switching rectifier for high-frequency DC-DC converter applications Bartoli, M.; Reatti, A.; Kazimierczuk, M.K.; Telecommunications Energy Conference, 1995. INTELEC '95, 17th International, 29 Oct-1 Nov 1995 Page(s): 510 -517 16.) Integrated DC/DC converter with digital controller Sluijs, F.; Hart, K.; Groeneveld, W.; Haag, S.; Low Power Electronics and Design, 1998. Proceedings, 1998 International Symposium on, 10-12 Aug 1998 Page(s): 88 -90 17.) A zero-voltage and zero-current switching full bridge DC-DC converter with transformer isolation Seong-Jeub Jeon; Gyu-Hyeong Cho; Power Electronics, IEEE Transactions on , Volume: 16 Issue: 5 , Sep 2001 Page(s): 573 -580 18.) The design of low-noise bandgap references van Staveren, A.; Verhoeven, C.J.M.; van Roermund, A.H.M.; Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on , Volume: 43 Issue: 4 , Apr 1996 Page(s): 290 -300 19.) 10 days short course by prof. P.E. Allen, Georgia institute of Technology 20.) Dc-dc buck converter design: A final report, by Ershad Ahmed, Syed Asif Eqbal, Prof. Amit Patra and Prof. S. Sengupta, IIT Kharagpur The End 64
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