An Investigation on Control Strategies for Fast Transient Response of SMPS
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Transcript of An Investigation on Control Strategies for Fast Transient Response of SMPS
7/27/2019 An Investigation on Control Strategies for Fast Transient Response of SMPS
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Abstract — This paper presents a thorough literature reviews
of control methods to improve transient response in switch
mode power supply (SMPS). A fast transient response to a step
load change is very essential in a power supply. The transient
response can be improved by means of feedback control
method. There are two feedback control methods widely used
for SMPS that are, voltage mode control (VMC) and peak
current mode control (PCMC). A simulation study on these
feedback control methods has been done using
Matlab/Simulink. It is found that the PCMC helps the SMPS
for a faster transient response compared to the VMC. Based on
all the reviews a new method is being investigated known as
“Voltage Injection Switching Inductor” (VISI) method. This
feedback control method provides a better transient response
to PCMC. The comparison of these simulation results validates
the proposed idea.
I. INTRODUCTION
s the technology grows, the speed, complexity and
performance of modern systems increase, that result to
a harsher loading requirement on power supplies. High
frequency switch-mode pulse width modulated (PWM) ac-
dc and dc-dc power converters have become the power
supplies of choice in most systems because of their superior
efficiency and small size. A switch mode power supply
(SMPS) is a power supply that provides function throughlow loss components such as capacitors, inductors,
transformers and the use of switches that are in one of two
states, either on or off. The main advantage of SMPS is that
the converter’s switches dissipate very little power and
power conversion can be accomplished with minimal power
loss, which equates to high efficiency.
Dc-dc converters which are used in SMPS can be of
isolated or non-isolated. In an isolated dc-dc converter the
input and output are separated mechanically by means of a
transformer. Whereas, a non-isolated dc-dc converter, do not
have transformer to isolate the input and the output circuits.
Isolated dc-dc converter is mainly for safety considerationand to reject common mode voltage. Common-mode voltage
in terms of ac power is the noise signal between the neutral
and the ground conductor that affects output voltage
measurement of the SMPS. Isolation to the output circuitry
This work was supported in part by Pentamaster Instrument Sdn.Bhd,
Malaysia.
Jegandren.J is with Faculty of Engineering, Multimedia University,
Malaysia (e-mail: [email protected]).
Gobbi.R is with Faculty of Engineering, Multimedia University,
Malaysia (e-mail: [email protected]).
Hussain S.Athab is with Faculty of Engineering, Multimedia University,
Malaysia (e-mail: [email protected]).
is required to eliminate this noise. The only disadvantage of
the isolated dc-dc converter is the switching transformer
produces high frequency ripple. A non-isolated dc-dc
converter is low cost and simple, but prone to high amount
of noises besides no short circuit protection, and is
applicable only for low power applications up to 100W.
There are several types of isolated dc-dc converter; they
are flyback converter, push-pull converter, half-bridge
converter and full bridge converter. In this paper only half-
bridge converter is considered as it has many advantages
which are suitable for many practical applications. Each
switch in the half-bridge converter switching circuit has half the voltage stress of push-pull converter, due to capacitive
voltage divider arrangement. The transformer core is
operated in the first and third quadrant of the B-H loop [1].
So the half-bridge primary transformer winding has half the
turns for the same input voltage and power compared to
transformer used in flyback converter. Moreover, the
leakage energy of inductance is returned to the input
capacitor instead of being dissipated in resistive snubbers,
this further increases the efficiency of the half-bridge
converter. Another significant advantage is that the
secondary transformer winding of half-bridge converter
produces a full-wave output rather than a half-wave output.Thus, the square-wave frequency in the half-bridge
converter is twice that of the non-isolated dc-dc converter
and flyback converter, so the associated filter circuits can be
much smaller.
There are two feedback control methods that are widely
used in SMPS; one is the voltage mode control (VMC) that
senses only the output voltage, Vout and another is current
mode control (CMC) that senses both the Vout and the filter
inductor current as the feedback signals.
The solution to meet the increasing demand for future
practical applications is with a fast transient response of
SMPS. In a SMPS, generally transient response is limited by
two circuits that are the feedback control circuit and the
filter circuit. The feedback control circuit can be easily
designed to perform very fast and effective with the help of
high-speed microcontrollers. However, transient response
due to the effect of filter circuit cannot be improved easily.
Fig. 1 shows the block diagram of a typical SMPS.
An Investigation on Control Strategies for Fast Transient Response
of SMPS
Jegandren.J, Gobbi.R and Hussain S.Athab
A
Proceedings of the 2008 IEEE Conference on Innovative Technologiesin Intelligent Systems and Industrial ApplicationsMultimedia University, Cyberjaya, Malaysia, 12-13 July 2008
978-1-4244-2416-0/08/$20.00©2008 IEEE
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Bridge
Rectifier
Switching
Circuit
Output
Rectifier Transformer
Feedback
Control
Circuit
Filter
Circuit
Output AC
voltage
DC-DC Converter
Fig. 1. Block diagram of a typical SMPS
II. LITERATURE REVIEW ON APPROACHES TO IMPROVE
TRANSIENT RESPONSE
Generally there are five approaches which have been
investigated to improve the transient response of SMPS.
Each approach manipulates either the feedback control
circuit or the filter circuit to achieve fast transient response.
A. Voltage Injection Control (VIC) Approach
The main idea of voltage injection control (VIC) is to
send a signal to the feedback control circuit to increase or
decrease the pulse width of the converter switch before the
load is applied or removed. The pulse width is varied byinjecting an appropriate value of voltage, called injection
voltage, Vinj into the error voltage, Verror . The Vinj is
calculated offline for each possible load switching and is
stored in a look-up table. Therefore, significant improvement
in transient response can only be obtained if an appropriate
value of Vinj is injected. This approach can only be used for
a SMPS to improve transient response where detail
knowledge of the load characteristics is available [2].
B. Stepping Inductor Approach
This approach varies the effective inductance of the filter
circuit with an aim to vary the time constant of SMPS. This
is done by connecting a low value inductor through a switchin parallel to filter inductor. During steady state load
condition, the low value inductor will be isolated from the
filter inductor. This maintains high time constant of the filter
circuit to produce smooth output current. During transient
load condition, the low value inductor is connected in
parallel to the filter inductor to reduce the effective filter
inductance. This reduces the time constant of the filter
circuit and allows fast recovering of output current. However
this approach causes high current ripple during transient
condition, which causes high root mean square current in the
converter switches and filter components and increases
power losses [3].
C. Linear-Non-Linear Approach
In this approach, an improvement in the feedback control
circuit to achieve a fast transient response. There are two
control methods which are applied to a buck converter to get
fast transient response. One is a linear control method where
the output voltage signal is monitored by the feedback
control circuit which produces PWM signals to the converter
switch. This method is used during steady state operation of
the SMPS. During transient operation, where there are load
changes, the second method called non-linear control
method is employed. Here, the same output voltage signal is
monitored by the feedback control circuit which produces
PWM signals with duty ratio of either 1 for increase of load
or 0 for decrease of load. However this approach is not
applicable to half-bridge and full-bridge converters, because
setting the PWM signals’ duty cycle to 1 during transient
operation creates short circuit across the primary terminals
of the isolated transformer [4]. D. Double Non-Isolated DC-DC Converter Approach
This approach uses two buck converters. One is the main
converter and another is the auxiliary converter with lower
filter inductance. The output power of the SMPS is the total
output power given by both of these converters. Each
converter has its own feedback control circuit which
monitors the output voltage signal. The main converter
works in the similar manner as the linear control method
explained in section 2.3 during steady state operation.
During transient operation, the auxiliary converter’ switches
are switched in the similar manner as non-linear control
method explained in section 2.3. Using this approach a fasttransient response could be achieved. However SMPS which
uses this approach has high switching loss hence lower
efficiency. Beside it has large physical size and costly
compared to SMPS with single buck converter [5].
E. Two Stage DC-DC Power Converter Approach
This approach uses two dc-dc converters. The first
converter is a buck converter and the second is a half-bridge
converter. These two converters are connected in series such
that the output of the buck converter is the input for the half-
bridge converter. The duty ratio of the PWM signals for the
half-bridge converter is always set to 0.5. The output voltage
of the half-bridge converter and the filter inductor current of
the buck converter are measured and send to the feedback
control circuit. In the feedback control circuit, these current
and voltage values are processed based on a current control
method before PWM signal is send to the switch of the buck
converter. The details explanation of the current control
method will be given later in this paper. This approach
however produces additional losses due to the additional
switches [6].
III. FEEDBACK CONTROL METHODS
There are two feedback control methods; one is the
voltage mode control and another current mode control. The
main purpose of these control methods is to adjust the duty
cycle of the PWM to regulate the output voltage. Voltage
mode control method is also called as a single loop control
method because only the output voltage, Vout is sensed and
used in the feedback control circuit. Current mode control
method uses two feedback signals that are the output voltage
and the filter inductor current. Both of these control methods
are described in detail in this section.
A. Voltage Mode Control (VMC)
The most extended dc-dc converter uses voltage mode
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control (VMC), where there is a single feedback loop with
the output voltage used as the feedback signal. Fig. 2 shows
the block diagram of feedback control circuit employing the
VMC. Output voltage, Vout from the dc-dc converter is
sensed and compared to a reference voltage Vref . The
difference between the Vref and the Vout is known as Verror .
Verror is then compared with a fixed frequency triangular
waveform, and the output is a pulse-width modulated(PWM) signal that is used to control the switch. When Verror
is positive, the PWM duty ratio is decreased so that the ON
time of the switch is for a longer period. Whereas when the
Verror is negative, the PWM duty ratio is increased and the
switch is ON for a shorter period. When Verror is zero, the
previous PWM duty ratio is maintained.
Vout
Vref
PWM
Logic
Circuit
Clock
Signal
To
Switching
Circuit
PCMC
Verror
Triangular Wave
Fig. 2. Block diagram of Feedback Control Circuit employing VMC
Since, the half-bridge converter employs two switches, the
single PWM pulse is converted to two 180° out-of-phase
pulses of the same width. This is done with a clock signal
and logic circuitry as shown in Fig. 2.
Fig. 3 shows a clearer picture on the positioning of pulses
during the operation of VMC. Fig. 3a) shows the interaction
of Verror and the triangular waveform. As seen at t1 to t3 the
PWM pulse is low all the while, this is the time it takes for
the Verror to reach from a desired voltage to the triangular
wave amplitude. The PWM pulse width variates only when
the Verror regulates between the triangular wave amplitude.Logic circuit that is incorporated in the VMC feedback
control circuit contains NOR logic and NOT logic. The logic
circuit gets its input from a fixed frequency clock signal and
PWM pulse. In the logic circuit the fixed frequency clock
signal is separated into 2 clock signals with 180° out of
phase signals using NOT logic as shown in Fig. 3c). Each of
these clock signals are supplied to logic NOR gate, together
with PWM pulse. The output of each of the NOR gate is
supplied as an input to the switching circuitry of the dc-dc
converter. Fig. 3d) shows the pulses from the logic circuit.
d)
c)
b)
Verror
Triangular Wavea)
t9t8t7
PWM pulse
Clock1
Clock 2
Pulse to switch 2
Pulse to switch 1
t6t5t4t3t2t1
Fig. 3. Pulses in VMC
There are two main advantages of the VMC. One is VMC
requires simple hardware implementation due to the single
feedback loop that is easier to design and analyze. Second, a
large-amplitude triangular waveform used in the feedback
control circuit provides a good noise margin for a stable
modulation process. Hence, VMC can be considered for
noisy applications [7].
Slow transient response is one of the drawbacks of the
VMC. This is because, for sudden changes in load, the filter
components provide a time delay before the output voltage
response to the load change. Another drawback is the VMCis prone to unbalanced switching of both switches in the
half-bridge converter during load change. The unbalanced
switching would lead to saturation in the transformer.
Besides, in VMC there is no cycle-by-cycle load over
current protection since the output current is not monitored
by the feedback control circuit.
B. Current Mode Controller (CMC)
As a brief introduction, when a constant current flows in a
fixed load resistor, it generates a constant voltage. But if the
load resistor changes in order to maintain the same constant
voltage, the current level has to change. That is exactly what
current mode control of switching converters is all about.The idea behind the current mode control is to create a
voltage - controlled ideal current source. This current source
is to ensure a constant voltage at the output of the dc-dc
power converter regardless of load current changes.
Current mode controller (CMC) is implemented through
two control loops. A current control loop (inner loop), which
monitors the filter inductor current information, creates the
voltage-controlled current source. The second loop is a
voltage loop (outer loop), which monitors the converter's
output voltage and constantly controls the current source to
regulate the output voltage at a given set point [8].
The PWM used in current-mode control can be operatedeither at fixed frequency or at variable frequency. Fixed
frequency current controllers are such as peak current mode
controller (PCMC), valley current mode controller (VCMC)
and average current mode controller (ACMC). Variable
frequency current controller is such as hysteric current mode
controller (HCMC). Generally the controllers would be
named based on the type of filter inductor current
information being sensed or how the information is used to
control the switches.
PCMC is a powerful feedback controller when it comes
to fixed frequency current mode controllers. It senses the
peak filter inductor current information when the switch is
on, then uses it to turn off the switch. Controlling the turn-
off event of the switch is commonly referred to as "trailing
edge modulation". The advantage of PCMC to other fixed
frequency current controllers are it has a faster response to
load and line changes, simpler loop compensation
requirements as well as inherent peak current limit
protection [9].
However PCMC suffers from sub-harmonic oscillation at
duty cycle which is more than 50%. Furthermore, dc-dc
converter which utilizes PCMC would have a minimum on-
time limitation due to time delays required to properly sense
the peak filter inductor current when the switch is on. When
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low duty-cycle operations are demanded, the trailing-edge
PCMC has a disadvantage. Filter inductor current
information in trailing-edge PCMC is sensed across the
high-side switch. During turn-on of the high-side switch, the
switch node will exhibit a lot of ringing due to parasitic on
that node. Therefore, PCMC usually employ blanking time
before sensing the filter inductor current. Normal values for
blanking time are around 200 ns to 300 ns. Due to the blanking time requirement, trailing-edge PCMC will not be
able to regulate to very low high-side switch on-time
requirements that is less than 200ns because the on time is
shorter than the 200ns blanking time. Fig. 4 shows the
blanking period and the high side switch on time.
IL
Vsense
High side Switch on-timeBlanking
Fig. 4. Blanking Period and High side switch on time.
VCMC senses the valley filter inductor current
information when the switch is off, then uses it to turn on the
switch. Controlling the turn-on event of the switch is
commonly referred to as "leading edge modulation". VCMC
does solve the problem of minimum on time that happens in
PCMC. However it also has some disadvantages and may be
the reason why very few commercial regulators employ this
control method. For VCMC sub-harmonic instability willoccur when the duty cycle is less than 50%. Eliminating this
oscillation would require a compensating ramp which has a
slope greater than one-half of the inductor current up-slope.
Moreover, VCMC has a slower transient response to sudden
input voltage changes when compared to PCMC [10].
ACMC senses average filter inductor current as the
feedback information. The advantage of ACMC is it does
not have the problem of sub-harmonic oscillation as in
PCMC and VCMC, so there is no need for slope
compensation. The disadvantage of ACMC is it gives a
slower transient response to change of load.
HCMC senses both the peak and valley filter inductor
current information to turn the switch on and off. This
feedback control produces high ripple because it runs on a
changing frequency.
In this work a fast transient response to a change of load is
the main aim, so PCMC is used as the feedback control
circuit for the dc-dc converter.
1) Peak Current Mode Control (PCMC)
In this section, a peak current mode control (PCMC) is
explained. Fig. 5 shows the block diagram of PCMC. Here,
the feedback control loop is set, so that Verror is not
compared to a triangular waveform as in VMC, but to a
ramp signal which represents the peak filter inductor current.
As seen from Fig. 5 there are two feedbacks from the dc-dc
converter, one is the current from the filter inductor and the
other is the output voltage, Vout. Basically the Vout is
compared with a Vref and the output is Verror . In VMC the
Verror is actually compared with a triangular wave but in
PCMC the Verror is compared to a peak filter inductor current.
When the peak filter inductor current is equal to the Verror ,
then the comparator outputs a pulse 1 else the comparator
would give an output pulse 0. The pulse from the comparator
is supplied to a logic circuit. The logic circuit consists of RS
flip-flop, AND logic and NOT logic. The RS flip-flop
outputs a PWM pulse based on the clock signal and
comparator output pulse. Fig. 6 shows a clearer picture on
the positioning of pulses in PCMC. A clock signal with a
fixed frequency generates a narrow pulse to the set pin of the
RS flip-flop. At each and every clock pulse the RS flip-flop
is set to 1, causing its PWM pulse, to go high. The duration
of the high time of the PWM pulse is the duration of on time
of one of switch in the switching circuit. During this time the
peak filter inductor current rises due to charging phenomena.
When the peak inductor current IL equals to Verror , the
comparator resets the RS flip-flop and the PWM pulse goes
low. At this particular time the filter inductor appears to be
in the discharging phenomena. The discharging phenomena
occur until the RS flip-flop is set again by the fixed
frequency clock signal for the next cycle.
Vout
Vref Logic
Circuit
Clock
Signal
To
Switching
Circuit
PCMC
Verror
IL
Reset
pulse
Fig. 5. Block diagram of Feedback Control Circuit employing PCMC.
Reset
Filter inductor
current waveform
PWM pulse
t1Set
t9t8t7
Clock1
Clock 2
Pulse to switch 2
Pulse to switch 1
t6t5t4t3t2Verror
Fig. 6. Pulses in PCMC.
IV. SIMULATION RESULTS
In this study, a 300W, 25V SMPS simulation model is
developed using Matlab/Simulink simulation tool. The
SMPS is built using the half-bridge converter. Both the
voltage mode and current mode control methods are tested
separately. As suggested, in the previous sections only peak
current mode control method is studied. The main aim of
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this simulation study is to investigate the transient response
of both the control methods. For this, the load is changed
from half load to full load, which is from 6A to 12A and the
results are depicted as in Fig. 7. Table 1 shows the numerical
results based on Fig. 7 for both control methods.
Table 1 Numerical result for VMC and PCMC
VM PCM Maximum voltageundershoot
3.7 0.6V
Settling time 400 µs 200 µs
Maximum spike 2.2 null
0.0098 0.01 0.0102 0.0104 0.0106 0.0108
21
22
23
24
25
26
27
28
Time (sec.)
V o u t
( V )
PCMC Vout
VMC Vout
24.4 V
21.3 V
Fig. 7. Transient response for step change load from 6A to 12A for VMC
and PCMC.
V. DISCUSSION ON NEW CONTROL METHODBased on literature studies and simulation investigations,
following are the important points noted to derive a new
control method for fast transient response of SMPS.
a.) Based on simulation results, PCMC gives a faster transient response to step change of load compared toVMC. Among the several types of CMC explained in
this paper, peak filter inductor current leads to a better transient response of SMPS.
b.) Transient response in SMPS is actually limited by the
feedback control circuit and the filter inductor in thedc-dc power converter. The feedback control circuit
can be designed to be very fast and effective. But theimprovement in the transient response is onlyachievable if the effect of filter inductor is taken intoconsideration when designing control system.However transient response is determined by the
value of the filter inductor.c.) It is noted that lower filter inductance value helps a
lot during transient operation of SMPS. However, it
is not in favor during steady state operation wherehigh amount of load current ripple is produced.
d.) Many reviews have connected a lower inductance
filter inductor in parallel to the main filter inductor
(higher inductance), that serve the purpose as toreduce the effective inductance during step increase
of load. The voltage that is applied to the lower inductance is somehow the output voltage. Thismethod causes high ripple and step increase of load
causes the duty cycle to go beyond 50%, hence thisleads to sub-harmonic oscillations.
e.) Based on all the reviews that a new method is being
investigated known as “Voltage Injection SwitchingInductor” (VISI) method. Basically this methodinjects a high dc voltage from the input to the lower inductance filter inductor during step increase of load
.So when a high dc voltage passes through a smaller effective inductance, the rate of change of currentthat is supplied to the load would be faster. Another
added advantage of VISI is during step up of the loadthe duty cycle of the switch is eventually reducedsmaller than the steady state switching cycle. Hencethere is no problem of sub-harmonic oscillations because the duty cycle does not go more than 50 %.Initial simulation study shows that this method
improves the transient response in SMPS by 88.33%. Fig. 8 shows the result, in which the maximumvoltage undershoot is 0.07V with a settling time of
70µs and null maximum spike. Any how, a prototypeof the SMPS with the VISI as the feedback controlmethod is being developed and the authors of this paper are working towards this research direction.
5.95 6 6.05 6.1
x 10−3
24.88
24.9
24.92
24.94
24.96
24.98
25
25.02
25.04
Time (sec.)
V o u t ( V )
VISI Vout
24.93 V
Fig. 8. Transient response for step change load from 6A to 12A for VISI.
VI. CONCLUSION
In this paper, thorough literature reviews of control
methods to improve transient response in SMPS were
presented. Each review was accompanied with constructive
comments which helped to derive the challenges as far as
control method design for transient response improvement is
concerned. Base on the derived challenges, a new control
strategy was proposed in this paper. Simulation results
comparing the proposed method and two commonly used
control methods, the VMC and PCMC show conversely
improvement in the transient response. However more
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development on the proposed control method is required and
the authors are working towards this direction.
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