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http://www.iaeme.com/IJARET/index.asp 42 [email protected]
International Journal of Advanced Research in Engineering and Technology
(IJARET) Volume 6, Issue 8, Aug 2015, pp. 42-56, Article ID: IJARET_06_08_005
Available online at
http://www.iaeme.com/IJARET/issues.asp?JTypeIJARET&VType=6&IType=8
ISSN Print: 0976-6480 and ISSN Online: 0976-6499
© IAEME Publication
___________________________________________________________________________
EVOLUTION OF VOLTAGE REGULATOR
TO SYSTEM ON CHIP APPLICATIONS
ANOOP KIRAN
Department of Telecommunication Engineering
Siddaganga Institute of Technology,
Tumakuru–572103, Karnataka, India
ABSTRACT
People demanding for smaller hand-held devices is increasing because of
the growing applications within these portable System on Chip (SoC)
applications, such as cellular phones, tabs, laptops, etc... Consequently
industry is also pushing towards miniaturization. New technologies are
emerging to make device smaller and smaller, by decreasing transistor length
only to few nano-meters. During the journey of miniaturization, voltage
regulator is being a key factor of discussion for SoC applications from many
years. Researchers have been working constantly to formulate a design for
voltage regulators. Many compensation methods have been emerging from
last two decades to overcome problems associated with precursor technique.
This paper insights the pathway which leads to development of Capacitor-Less
Low Drop out (CL-LDO) Voltage Regulator, since CL-LDO architecture is the
most suitable architecture for System on Chip applications.
Index Terms: Dropout voltage, Quiescent current, Miller capacitor,
Differential amplifier, Trans-conductance amplifier, Line regulation, Load
regulation, Line transient, Load transient, fast path, transient compensation,
Die area.
Cite this Article: Anoop Kiran. Evolution of Voltage Regulator to System on
Chip Applications. International Journal of Advanced Research in
Engineering and Technology, 6(8), 2015, pp. 42-56.
http://www.iaeme.com/IJARET/issues.asp?JType=IJARET&VType=6&IType=8
_____________________________________________________________________
I. INTRODUCTION
Voltage regulator is one of the fundamental and essential parts of power management
system. Power management design is becoming a more frequent and challenging task
for system designers. The study of power management techniques has increased
spectacularly within the last few years corresponding to a vast increase in the use of
portable, handheld battery operated devices [1]. Voltage regulators are of two types:
Evolution of Voltage Regulator to System on Chip Applications
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switching regulator and linear regulator. Switching regulator is having good
efficiency but it is having complex structure for design and it is more costly than
linear regulator [2]. Whereas in case of linear regulator, despite the fact of lesser
efficiency, it is most widely evolved because of reduction in cost, size, noise and
complexity; all of which helps to implement on SoC devices [3], [4]. First of all, let us
have a look how does a particular technique derived for designing of voltage
regulator. Observing the figure-1 indicates that it consists of a voltage divider circuit
followed by a 12V supply, which is then fed to an op-amp for driving purpose.
Considering basic methodology as used in figure-1, experiment results shows that,
this will not give a constant voltage all times and also have some limitations. First of
all if the 12V (input) supply voltage is not regulated properly supply to op-amp will
not be a constant voltage and second, if other op-amp demands different voltage then
this circuit is no longer used. These two drawbacks proved that this technique will
not be efficient in all variable condition and hence it does not serve for regulating
purpose.
Figure 1 A voltage divider circuit to drive an op-amp, which was experimented earlier to
check whether it gives a constant voltage
II. VOLTAGE REGULATOR BLOCK
Considering drawbacks of voltage divider regulator in mind scientists have developed
a new configuration, which is based on feedback system. Feedback means taking
some part of output and utilizing that to regulate the output voltage to a constant
value. Generally, from the output node feedback is taken because that is the point of
interest where a constant voltage has to be achieved. Series of efforts finally leads to a
system which defines the regulator properly as shown in Figure-2.
Figure 2 A block diagram of voltage regulator with all its components
Block diagram consists of three important components: a feedback circuit, an
error amplifier and a pass element. Feedback circuit is the voltage divider circuit
which helps to send the change in output signal as feedback thus helps to prevent the
Anoop Kiran
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reflection at output node to change in input node. Voltage divider circuit is made up
of two resistors in series. The resistor values are selected to give the voltage that
required to error amplifier. We can also limit the amount of Quiescent current by
proper selection of resistor values [4].
A high gain multi-stage amplifier is used as the error amplifier, with a stable
voltage reference fed to one of its inputs. The voltage reference is usually derived
from a band gap reference circuit [5], [6]. Since the gain obtained by differential
amplifier is less, the output of the differential stage is given to common source
amplifier to achieve appreciable gain [7].
Figure 3 CMOS transistor structure of Error amplifier
CMOS circuit architecture of error amplifier is as shown in Figure-3 where it
consists of two stages [7]. First stage is an active loaded differential amplifier which
constitutes M1 to M5 transistors and M8 used to mirror the current. Second stage
consists of M7 and M6 which is a high trans-conductance amplifier which helps to
increase the gain. Cc is Miller capacitor added to improve frequency response [7].
The third and most important part of voltage regulator is pass element selection which
will be discussed in upcoming section.
The input voltage is applied to a pass element. The pass element operates to drop
the input voltage down to the desired output voltage. The resulting output voltage is
sensed by the error amplifier and compared to a reference voltage. The error amplifier
drives the pass element to the appropriate operating point to ensure that the output is
at the required constant voltage. As the operating current or input voltage changes, the
error amplifier modulates the pass element to maintain a constant output voltage.
Under steady state operating conditions, an LDO behaves like a simple resistor.
III. PASS ELEMENT SELECTION
Few important factors considered during selection of pass element are dropout
voltage, ground current, noise and input power loss. For SoC applications, there are
two basic factors that should be considered while selecting pass elements: dropout
voltage and ground current. Low ground current and low dropout voltage are required
to have more efficient voltage regulator [8]. So, it is pretty clear that pass element’s
drop-out voltage and ground current is directly related to efficiency of the regulator
[8], [9].
Lesser the dropout voltage is more the efficiency, therefore we need to search
for low drop-out pass element. Now the task is to which pass element has to be
selected, it cannot be a simple two terminal device diode, as current can’t controlled
in diode. Successor of diode is sandwiching two diodes that is transistor so; Bipolar
Evolution of Voltage Regulator to System on Chip Applications
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Junction Transistor (BJT) was first selected and implemented. For the period up to the
birth of Metal Oxide Semiconductor Field Effect Transistor (MOSFET), it seems to
be good, but MOSFET advantages ruled out the use of BJT for many applications.
Advantages of MOSFET over BJT are shown in Table-1.
Table 1 Advantages of MSOFET over BJT.
BJT MOSFET
Input power loss >0 (IB>0) 0 (IG=0)
Dropout voltage More Lesser than BJT
Noise More Less
Fabrication area More Less
Total power loss More Lesser than BJT
Thermal Runaway Present Absent
The difference between these is how the pass element is driven. A BJT pass
element is a current-driven device, whereas the MOSFET is a voltage driven device.
As we know there are two types of transistors: N-type and P-type. N-type devices
require a positive drive signal with respect to the output, whereas P-type devices are
driven from a negative signal with respect to the input. Generating a positive drive
signal becomes more power requirement and less efficient. As a result, LDOs that
operate from low input signal typically are implemented with P-type devices. So,
either PNP type BJT or PMOS can be selected. Figure-4 shows the comparison of
Dropout voltage between PNP type BJT and P-type MOSFET [10].
Figure 4 Comparison of Dropout voltage of PNP LDO and PMOS LDO, which shows
Dropout voltage of PMOS LDO lesser than PNP LDO.
Graph in Figure-4 shows that Dropout voltage of PMOS LDO lesser than PNP
LDO. In lower-current applications, PMOS LDOs typically have a lower dropout
voltage than that of PNP LDOs. The result cogently proves that PMOS can be used to
increase efficiency; thereafter voltage regulator is termed as Low Drop-Out (LDO)
Regulator.
Ground current is the amount current flowing when current to the load becomes
zero. During this scenario, Pass element’s current is significantly higher than any
other component’s currents in LDO regulator. Now we shall have a look through
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collector current expression of BJT and drain current expression of MOSFET is as
shown in Eq- 1 and Eq- 2 respectively.
BEC S
VI I exp
VT
(1)
IC=Collector current Is=Saturation current
VBE=Base to emitter voltage VT=Thermal Voltage
21( )
2D ox GS Th
wI µ C V V
l
(2)
ID=Drain current µ =Mobility of charges
Cox=Oxide Capacitance W & L=Width & Length
VGS=Gate to Source Voltage VTh=Threshold voltage for MOSFET
Collector current variation of BJT is exponentially related to Base voltage,
whereas in MOSFET drain current is quadratic function of gate voltage. These
observations suggest that ground current after transistor reached ON state for BJT is
more than MOSFET.
We know that BJT is current driven device. As the load requires more current it
has to be provided by driving current at the base of transistor. So base current also
increases automatically. This additional base current constitutes ground current as
shown in figure-5(a).
(a) (b)
Figure 5 Current flow Comparison: (a) PNP-type BJT (b) P-type MOSFET, from which we
can be observed that ground current of P-type MOSFET is lesser than PNP-type BJT.
In case of MOSFET as it is voltage driven device, current required by load is
provided by increasing voltage at gate terminal. There is isolation between gate and
other two terminal for flow of charges, as capacitive action takes place in MOSFET to
drive. Hence there is no gate current here as shown in figure-5(b). So, comparatively
MOSFET losses lesser ground current than BJT does. Figure-6 clearly illustrates that
Evolution of Voltage Regulator to System on Chip Applications
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as load current increases PNP LDO losses more ground current than PMOS LDO
[10].
Figure 6 Comparison of Ground current of PNP LDO and PMOS LDO, which shows ground
current of PMOS LDO lesser than PNP LDO.
Two important advantages of MOSFET, namely, low dropout voltage and low
ground current will successfully replace the pass element from BJT to MOSFET. In
addition to these two advantages, MOSFET is also free from the problems such as
Thermal runaway, more noise and more fabrication area which BJT is suffering
from. Lesser fabrication area of MOSFET is most significant advantage over BJT,
which helps to increase fabrication technology and to make device size smaller as it is
a most important requirement of SoC applications [11].
IV. LDO VOLTAGE REGULATOR CIRCUIT
LDO Voltage regulator is having three important components. They are Pass element
as P-type MOSFET, Feedback circuit as voltage divider circuit having two resistors in
series and error amplifier as Multi-stage differential amplifier. Transistor level circuit
diagram taken from cadence tool is as shown in Figure-7.
Figure 7 Transistor level circuit diagram of LDO Voltage regulator.
Anoop Kiran
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Having with some pre-assumptions and design equations, we can determine the
dimension of all transistors shown in Figure-7. This section explains the design of
LDO regulator for output voltage of 2.8V for a maximum current of 50mA and
having a dropout voltage equal to 200mV. Before going to design it is required to go
through the symbols given with parameters name shown in Table-2.
Table 2 Symbols with appropriate parameters
Symbol Parameter
Name Symbol
Parameter
name
gm Transconductance of a MSOFET CL Load Capacitance
ADC DC Voltage gain VDSat Saturation voltage
VOV Overdrive voltage CC Compensation capacitance
IQ Ground current via R1 & R2. VREF Reference voltage at error
VOUT Desired Output voltage at the
end VDropout
Dropout voltage of pass
element
VDS Drain to source voltage IDmax Maximum drain current
BWG gain bandwidth (3)
2m
BW
L
gG
C
(4)
(Slew Rate) LI C (5)
2 m D n ox
wg I µ C
l
(6)
21( )
2D ox GS Th
wI µ C V V
l
(7)
= OV GS ThV V V (8)
DS OVV V (9)
6 66
4 4
4
m
m
w
I gl
w I g
l
(10)
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77
5
5
w
Il
w I
l
(11)
Design of Dimension of all MOSFETs starts from assuming some parameters
such as gain, bandwidth and load capacitance. Then it follows to calculate gm (Eq-4),
ID (Eq-5), and Dimensions of M1-M4 by using basic design equation of MOSFET (Eq-
6 to Eq-9). Second stage of error amplifier is needed to be designed to have high
trans-conductance to amplify signal coming from first stage differential amplifier.
Since, M6 is biased by gate voltage of M4, Eq-10 helps to determine the dimension of
M6. M8 is replica of M5 since it helps in mirroring current to M5. M7 dimensions can
be deduced by taking current flow in M6 and using Eq-11, as it is biased by M5. All
dimension of are tabulated in Table-3.
Table 3 Dimension of all MOSFETs and drain current flow
MOSFETs Width (µm) Length (µm) ID (µA)
M1 2.5 0.5 2.5
M2 2.5 0.5 2.5
M3 2.5 0.5 2.5
M4 2.5 0.5 2.5
M5 4.4 0.4 5
M6 40 0.4 200
M7 44 0.4 200
M8 4.4 0.4 5
Pass element 15120
(50µ×303) 0.4 50000
Pass element dimensions can be determined by Eq-12, followed by pre-assuming
dropout voltage of 200mV across it. Feedback circuit values can be calculated by
using Eq-13 and Eq-14 by knowing value of Reference voltage.
max
2
2 D
n ox DSat
w I
l µ C V
(12)
max
2 1
OUTD
VI
R R
(13)
2
2 1
REF OUT
RV V
R R
(14)
0.22C LC C (15)
Compensation capacitance value can be determined by Eq-15. This equation is
derived by solving and simplification transfer function of error amplifier followed by
pre-assuming phase margin of 60º. All the remaining parameter values are tabulated
in Table-4.
Anoop Kiran
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Table 4 Value of all other components in LDO Regulator
Parameter Value
VOUT 2.8 V
IQ 5 µA
COUT 100 µF
ROUT 560 KΩ
ADC ≥50 dB
R1 312 KΩ
R2 248 KΩ
IDmax 50 mA
VREF 1.24 V
Design of LDO regulator is implemented in cadence tool and simulated to observe
the voltage regulation for wide range of input voltage. Then it is tested for Line
Regulation giving linear input voltage from 0-10V as shown in Figure-8, which shows
that output voltage remains constant at 2.8V. Output voltage remains constant after
input reaching 3V, irrespective of increase in input voltage. Load regulation is
observed by introducing a ramp current starting from 0-10A as shown in Figure-9,
which shows voltage regulated at 2.8V up to maximum current of over 600mA.
In spite of proper regulation been achieved in the LDO voltage regulator circuit, it
suffer from many limitations [12]. One of the most important problems is the size of
load capacitor (100 µF) connected to achieve good transient response. This increases
the die area required to fabricate an enormously large capacitor, which is a very big
problem associated to implement for SoC applications. When capacitor is removed
and tested with transient analysis which found to give irregular and undesirable
results. This can be proved by subjecting LDO regulator to transient response after
removing load capacitor. In order to overcome this issue many solutions have been
presenting by scientists [13]. Before going to solutions, let’s analyse the problem with
the absence of capacitor.
Figure 8 Line regulation: VIN Ramped from 0-10V, output voltage remains constant at 2.8V
after input voltage reached 3V.
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Figure 9 Load Regulation: ILOAD Ramp is given from 50mA-1A, even then also output
voltage remains constant at 2.8V up to 688mA.
Huge capacitor, if present will help to store charges which will be used to deliver
to output whenever necessary. When load demands a step current, this huge amount
of instantaneous charges are supplied by capacitor as shown in Figure-10. Thus it
helps to provide some time for regulating loop thereby to provide required amount of
current by pass transistor [14]. In this case, transfer of charges from capacitor to load
corresponds to voltage drop variation at the output, hence violating rule of constant
output voltage. If capacitor is absent output voltage will not settle down for constant
value; instead, it keeps on varying continuously. Referring to Figure-11; in absence of
load capacitor, practically current demanded by load is as shown in lower graph and
oscillating output voltage which never settles down due to absence of capacitor shown
in upper graph. The same problem will also occur when input (Line) voltage is varied
since there is no time given for loop to react for change in input voltage, as shown in
Figure-12. Hence there exist big problem during fast transient of load current and line
voltage.
Figure 10 Capacitor releasing charges during step load current demand by load, hence giving
some time for regulation to happen.
Anoop Kiran
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Figure 11 Load Transient: In absence of capacitor variation of output voltage for
instantaneous variation of load current, which does not settle down to a constant value
Figure 12 Line Transient: In absence of capacitor variation of output voltage for
instantaneous variation of input voltage, which does not settle down for a constant value.
The absence of large external output capacitor presents design challenges for load
transient response and also to AC response [14]. Removing the external capacitor
requires a sound compensation scheme for the transient response. This idea paved
way into the development of different compensation methods to overcome many
problems. One among them is presented in next section.
V. CAPACITOR-LESS LDO VOLTAGE REGULATOR WITH
COMPENSATION
Considering the drawback in transient response of previous structure, and then come
up with a solution by adding compensation circuit as shown in Figure-13.
Compensation circuit provides sufficient time for loop to regulate by providing fast
path for the flow of charges for a sudden demand of charges occurred at the load [15].
Evolution of Voltage Regulator to System on Chip Applications
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Figure 13 Block diagram of CL-LDO voltage regulator with compensation.
Transistor level diagram of CL-LDO with compensation circuit is as shown in Figure-
14 and parameter values are tabulated in Table-5 [15]. One extra capacitor is added in
compensation circuit which is of only few Pico-Farads which can be easily fabricated
in small area of chip. Researchers found a technique that even though capacitor value
is small, it can act as a bigger basin for the storage of charges within it. This can be
analysed by using Eq-16. Where gm,eff is total trans-conductance value offered by M9
and M10. Cf,total is total capacitance value. This equation can be derived by solving
transfer function of each of compensation circuit.
, ,f total m eff f fC g R C (16)
Figure 14 Transistor level diagram of CL-LDO voltage regulator taken from Cadence tool.
Careful observation of Eq-16 clearly shows that capacitor value is multiplied by
two factors: Resistance Rf and gm,eff. This technique surely helps to have a bigger
capacitor and hence more charges can be stored easily. These charges play role during
transient analysis giving time for loop to regulate.
Anoop Kiran
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Table 5 Parameter value of compensation circuit
Parameter Value
IREF 10 µA
Rf 200 KΩ
Cf 2 pF
M9 L=0.4µm, W=1µm
M10 L=0.4µm, W=3µm
M11 L=0.4µm, W=3µm
M12 L=0.4µm, W=1µm
After having implemented the design in cadence, circuit is tested for transient
performance. It is subjected to a line transient of 3–5V and 5-3V with 0.5 µs rise and
fall times, as shown in Figure-15. An extra ringing, less than ±5 mV was experienced
at output, but the ringing quickly gets stable value within 4µs in the worst case. Then
circuit is subjected to load Transient by introducing a step load current from 5-50mA
and 50-5mA with 2 µs rise and fall times, as shown in Figure-16, which shows there
is only ±2mV ringing which settle down quickly in 4 µs. In addition to solving
transient response problem this architecture also solves AC response problem hence
can be implemented in SoC applications [15].
Figure 15 Line Transient Response: VIN varying from (a) 3-5V (b) 5-3V. Output voltage
settled down to 2.8V very quickly within 4 µs.
Figure 16 Load transient response: (a) 5-50mA (b) 50-5mA. Output voltage settled down to
2.8V very quickly within 4 µs.
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VI. CONCLUSION
Voltage Regulator characteristics and requirements of SoC applications are discussed
in this paper. Architecture of basic voltage regulator is introduced, considering the
drawbacks of voltage divider circuit. Designing of each components of voltage
regulator is provided. Selection of most important component-Pass element is
presented with considering required characteristics such as less power loss, less
Fabrication area and low Noise. Finally structure of CL-LDO regulator is developed
by removing the bottleneck which is a huge load capacitor. Experimental results show
CL-LDO is having good transient response and hence it is suitable for SoC
applications.
ACKNOWLEDGEMENT
Author wish to thank Dr. K C Narasimhamurthy Ph.D. (IITG) Professor & Head of
Telecommunication engineering Department, Siddaganga Institute of Technology,
Tumakuru-572103,for his support and courage given to formulate this Paper.
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