AN1619: Designing with ISL6752DBEVAL1Z and

Application Note 1619
Author: Richard Garcia
Designing with ISL6752DBEVAL1Z and ISL6754DBEVAL1Z
Control Cards
These cards also provide control signals to drive Synchronous
Rectifiers (SRs). An optional control circuit is provided for
diode emulation.
This design guide references the power topology of the
ISL6752_54EVAL1Z power supply which comes complete with
both of these daughter cards. The daughter cards are also
available as stand alone evaluation boards to be used with
customer provided power stages. Reviewing the
ISL6752_54EVAL1Z ZVS DC-DC Power Supply with
Synchronous Rectifiers-User Guide, AN1603, is highly
recommended.
Scope
This application note will cover the methods for compensating
the voltage error amplifier using current mode control. Biasing
the peak current limit of the ISL6752 and ISL6754 is also
reviewed. It is assumed that the reader has fundamental
understanding of the peak current mode control. Familiarity
with application note, AN1262, “Designing with the ISL6752,
ISL6753 ZVS Full-bridge Controllers” is also recommended.
Also covered is the compensation of the average current limit
error amplifier of the ISL6754.
Another subject covered by this application note is
implementation requirements for proper operation of the
ISL6754 when transitioning from voltage regulation to current
regulation.
Basic Design Considerations
The ISL6754DBEVAL1Z uses two error amplifiers. One error
amplifier is used to regulate the output voltage when the
output load current is below the current limit value. The other
error amplifier is used to regulate the output current when the
output current is equal to the average current limit value. In
this design example, the current amplifier is internal to the
ISL6754. An external op-amp is used as the voltage amplifier.
The output of the two error amplifiers are connected together
with an OR-ing diode, as shown in the simplified schematic of
Figure 1. When the voltage amplifier is in control of the output,
the output of the amplifier is within the control range of the
May 19, 2011
AN1619.1
1
+5V
Vref
VOLTAGE
AMPLIFIER
8
2
7
Iref
8
FB
Iout
- 80mV +
RAMP
Verr
PWM
COMPARATOR
-
ISL6754
+
These two controllers are basically the same except for the
method used for current limiting. The ISL6752DBEVAL1Z uses
pulse by pulse current limiting while the ISL6754DBEVAL1Z
uses Intersil’s patented average current limiting technique.
Both control cards have secondary referenced voltage error
amplifiers with a linear opto-isolator used to transition the
primary to secondary boundary.
+
The ISL6752DBEVAL1Z and ISL6754DBEVAL1Z are DC-DC
power supply controllers on plug-in daughter cards. Both cards
utilize Intersil’s ZVS resonant switching full bridge topology
specifically intended for off-line, 500W or greater applications.
PWM comparator (~ 0V to 5V). The output of the current
amplifier is at the positive rail because it is demanding for
more current on the output. Because the output of the current
amplifier is more positive than the voltage amplifier, the
OR-ing diodes block the current amplifier from controlling the
output and is effectively operating open loop.
+
Introduction
AVERAGE
CURRENT
AMPLIFIER
FIGURE 1. TWO AMPLIFIERS CONNECTED TO ONE PWM
COMPARATOR
When the output load current exceeds the average current
limit value, the output of the current amplifier slews rapidly
down to the control range of the PWM comparator to regulate
the output current. Because the output load current is being
limited, the output voltage sags resulting with the output of the
voltage error amplifier increasing towards the positive rail
voltage. The voltage error amplifier is now operating open loop.
Because only one or the other amplifier is in control of the
output, it is sufficient to compensate each amplifier
independently of the other.
The designer does have to decide how rapidly he or she wants
the transition from voltage control to current control to occur.
Usually the load transient performance specification
determines the compensation for the voltage error amplifier.
There are other considerations for the compensation of the
current amplifier. If it is desirable to allow momentary high
amplitude load transients that exceed the current limit value,
then the current amplifier should be compensated to respond
slowly to the load transient. Because it is still necessary to
limit the peak load transient current to some safe level, the
pulse by pulse current limit of the ISL6754 should be biased to
allow the highest acceptable load transient amplitude.
In applications where it is desirable to rapidly limit the output
current to the current limit value, the current amplifier can be
compensated to provide nearly instantaneous limiting to the
current limit value. The transition can be made so fast that the
pulse by pulse current may never activate.
With both fast and slow transitions between voltage and
current regulation, it is necessary to insure that the minimum
input voltage of -0.3V is not exceeded on the FB pin of the
CAUTION: These devices are sensitive to electrostatic discharge; follow proper IC Handling Procedures.
Copyright Intersil Americas Inc. 2011. All Rights Reserved.
1-888-INTERSIL or 1-888-468-3774 | Intersil (and design) is a trademark owned by Intersil Corporation or one of its subsidiaries.
All other trademarks mentioned are the property of their respective owners.
Application Note 1619
ISL6754. When the output of the voltage amplifier is slewing
down towards the control range of the PWM comparator, the
negative dv/dt on the VERR pin will cause current to flow through
the compensation capacitor of the current error amplifier
resulting with a negative transient on the FB pin. A similar effect
can occur on the external amplifier.
For those readers who are not familiar with MathCad, the
following symbols are defined as follows:
:=
Assignment operator. The variable on the left side is
assigned the value on the right side
=
This is the usual equals operator. The value of a symbol
on the left is displayed on the right
=
This operator is used to assign any expression to a
symbol. It is used most frequently when variables of
multiple independent equations are evaluated using the
find() function
+5V
(bold type)
Vref
+
Iref
_
8
FB
+
7
VOLTAGE
AMPLIFIER
Iout
AVERAGE
CURRENT
AMPLIFIER
+
FIGURE 2. VOLTAGE CLAMPS TO PREVENT EXCESSIVE NEGATIVE
TRANSIENTS ON FB
A simple solution to the problem is to implement a negative
voltage clamp on this pin, as shown in Figure 2. It may also be
necessary to have a similar clamp on the negative input pin of
the external amplifier depending on how it responds to
excessively negative transients.
About this Analysis
The following design procedure is available in a native MathCad
file created with MathCad ver. 14. This file may work with older
versions of MathCad but it has not been evaluated with any
version other than 14. New MathCad versions, when available,
will probably maintain backwards compatibility.
The topology used for this analysis is the ISL6752_54EVAL1Z,
which uses a current doubler secondary. This analysis does not
consider the center tap rectification topology. Calculations for the
CT topology must be derived by the user.
2
In most cases, this analysis uses ordinary math rules for
precedence and can be understood by readers who are not
familiar with MathCad. For detailed help with features and
functions of MathCad that are incorporated in this analysis,
please refer to the MathCad 14 Users Guide.
Included at the end of this application note are the schematics
and the PCB layouts of the ISL6752DBEVAL1A and the
ISL6754DBEVAL1Z control cards.
Related Intersil Literature
1. AN1262, “Designing with the ISL6752, ISL6753 ZVS Full Bridge
Controllers”, Application Note
2. AN1603, “ISL6752_54EVAL1Z ZVS DC-DC Power Supply with
Synchronous Rectifiers-User Guide”, Application Note
3. FN6754,“ZVS Full-Bridge PWM Controller with Adjustable
Synchronous Rectifier Control”, Data Sheet
4. FN9181,“ZVS Full-Bridge Current-Mode PWM with Adjustable
Synchronous Rectifier Control”, Data Sheet
5. “ISL6752_54DBEVAL1Z Board Design.mcdx”, Native
MathCad Design File
References
[1] MathCad 14 Users Guide
[2] Unitrode Application Note U-97” Modelling, Analysis and
Compensation of the Current-mode Converter”
AN1619.1
May 19, 2011
Application Note 1619
Author: [email protected]
Biasing the ISL6752_54EVAL1Z Using Current Mode Control
© Intersil Americas Inc. 2011. All Rights Reserved.
You may use this copyrighted Mathcad data sheet solely in conjunction with Intersil products. You may modify and distribute this data sheet.
However, the preceding grants of rights are subject to your agreements with the following terms:
Your exploitation of the foregoing rights indicates your agreement to such terms. The copyright notice and the text following it may not be modified
or removed from the Mathcad data sheet. This material is provided "as is". Intersil specifically disclaims all warranties, including without limitation
the warranties of fitness for a particular purpose and merchantability. To the extent permitted by law, you indemnify Intersil Corporation and its
direct and indirect subsidiaries with respect to any claims arising from your use of this Mathcad data sheet.
There are seven major design steps in this analysis:
1.
2.
3.
4.
5.
6.
7.
Set the oscillator frequency.
Calculate the value of the current sensing resistor, Rs, for peak current limit.
Set the slope compensation ratio for peak current mode control for the voltage error amplifier.
Establish the DC biasing of the average current limit amplifier (ISL6754 only).
Determine the small signal gain of the peak current mode power stage for bode analysis.
Compensate the voltage error amplifier.
Compensate the current error amplifier (ISL6754 only)
Unless otherwise specified, the following analysis applies to both the ISL6752 and the ISL6754 evaluation daughter cards
(ISL6752DBEVAL1Z and ISLl6754DBEVAL1Z). Because these two boards use different reference designators, this analysis
uses designators as defined by the equivalent schematics shown in this document. When applicable, a cross reference
table is included to identify the specific parts on each board vs. the reference designator used in this analysis.
The following parameters are for the ISL6752_54EVAL1Z power supply. With appropriate changes to power components,
these parameters can be modified to satisfy a custom application.
Input and output parameters:
Component parameters:
Vbus_max 450V
maximum input operating voltage
Lind 3.3˜ μH
output inductance
Vbus_nom 400V
nominal input operating voltage
Nt 13
Vo_nom 12V
max output voltage
Nct 50
turns ratio of the power transformer
turns ratio of the current sensing transformer
Vo_min 0V
min output voltage (short circuit)
VCL 1V
Iout_PK 65A
max for pulse by pulse current limit
Iout_min 0A
no load
Peak Current Limit voltage
primary magnetizing inductance of the
Lpri 3200 μH power transformer
Oscillator timing capacitor
CT 180pF
Iout_avg 60A
Average current limit
RTD 6.65KΩ
Timing capacitor discharge resistor
(used to set dead time)
Step 1) Setting the Oscillator Frequency
TC 11.5˜ K٘ CT
2.07˜ μs
TD 0.06˜ RTD˜ CT 50ns
P TC TD
Freq Dmax 2˜ P
122˜ ns
2.192˜ μs
1
P TD
Vbus_min Charge time for CT as defined in the data sheet. Note that
TC is increased by the presence of the CT slope transistor
Q1. To minimize the loading on the CT pin, the beta of Q1
should be greater than 200.
P
2
Dmax
Discharge time for CT (as defined in the data sheet). This is
also the dead time between the two FETs on one side of the
full bridge.
Calculated PWM period for one half cycle
228.121˜ KHz
This is the frequency of the full bridge and of each output
current doubler inductor. Note that the actual switching
frequency of the ISL6752_54EVAL1Z is 200KHz because of
the loading effects of Q1 on the CT pin.
0.944
This is the maximum duty cycle
˜ Nt˜ Vo_nom
330.361 V
3
This is the input voltage at which the output begins regulation.
AN1619.1
May 19, 2011
Application Note 1619
Step 2) Rs for pulse by pulse current limit
The nominal Duty cycle for each current doubler inductor:
Vo_nom
Dnom_ind Vbus_nom
˜ Nt
Period for each current doubler inductor is 2P
0.390
Inductor currents
12 V and Vbus_nom
The nominal on period for Vo_nom
Ton 2˜ P˜ Dnom_ind
Summed current of both inductors
400 V :
1.71˜ μs
Iupramp
Iupramp is the i of the current in one output
Ton
Iout
2
inductor of the current doubler topology.
The average current of each
inductor is ½ of the total output
D=Ton /2xP
2xP
·
§ Vbus_nom
Vo_nom ¸
¨ Nt
¸ ˜ Ton 9.724 A
Iupramp ¨
Lind
©
¹
Transformer voltage waveform
P = TC+TD
Ipri_mag is the i of the primary side magnetizing current.
Ipri_mag Vbus_nom
Lpri
˜ Ton
Xfmr magnetizing current
Ipri_mag
0.214 A
Isense.p is the peak output current referenced to
the output of the current sensing transformer.
Ipri_mag
59.617˜ mA
Rb
2.2V
VCTE
0.2V
9
VCT.s 2V
TC
0.966˜
T1
V
μs
Rs
CS
- 80 mV +
VCS
D1
8
RAMP
1.71˜ μs
1
- 0.6V +
7
Tct
VCS =
Ra Rb Rs
˜ VCTE.p Isense.p
1
Rs
4
Ra Rb
1
= 1V
50:1
-
Average
current limit
amplifier
CT
Rb
Cycle by
cycle I limit
comparator
-
1V
CS
8
D1
Rs
Rs
7
Q1
2.2V
VCTE
0.2V
VCS is the voltage that is seen on the CS input
FB
ISL6752 current sensing
2.8V
VCT
0.8V
(calculated using superposition). Peak current limit
occurs when VCS = 1
PWM
comparator
+
@ Ton
Cycle by
cycle I limit
comparator
2
2
VCTE.p is the peak voltage as seen on the emitter of
Q1 at the end of the on period:
1.852 V
-
Verr
Ra
50:1
VCTE.p VCT.s˜ Ton .2V
-
1V
Rc
VCT.s is the rising slope of the CT signal
CT
Ra
VCS
PWM
comparator
- 80 mV +
Verr
2
+
2
Nct
6
Q1
+
2
2
Nt˜ Nct
Nt˜ Nct
ISL6754 current sensing
2.8V
VCT
0.8V
+
Isense.p Iupramp
+
Iout_PK
3
1
AN1619.1
May 19, 2011
Application Note 1619
Step
3) 3)
Slope
compensation
Step
Slope
compensation
slope compensation ratio definition:
slope compensation ratio definition:
Vramp.s
M = M = Vramp.s
= 1= 1 or or Vramp.s
= =VV
down.s
Vramp.s
down.s
Vdown.s
V
down.s
Output
Inductor
current
down
slope
Output
Inductor
current
down
slopecurrent
currentscaled
scaled to
to
the output
of the
current
sensing
transformer
the output
of the
current
sensing
transformer: :
Vo_nom
Vo_nom
Idown.s
Idown.s
LindL˜ N
Nct
indt ˜˜N
t˜ Nct
M = 1 is the optimal slope compensation ratio. V
is
M = 1 is the optimal slope compensation ratio. Vramp.sramp.s
is
the
ramp
added
to
the
current
sense
scaled
to
the
ramp
the ramp added to the current sense scaled to the ramp
Vdown.s
pinofofthe
theISL6752.
ISL6752.
is the
effective
down
Vdown.s
pin
is the
effective
down
slopeslope
rampthat
thatisisproportional
proportional
to the
down
slope
current
ramp
to the
down
slope
current
of theof the
outputinductor
inductoralso
also
scaled
to the
ramp
pinthe
of ISL6752.
the ISL6752.
output
scaled
to the
ramp
pin of
(referenceUnitrode
Unitrode
app
note
U-97)
(reference
app
note
U-97)
AA
Idown.s
Idown.s 0.006
0.006˜ ˜
μs
μs
RbRb º º Idown.s
˜˜RR ˜˜R
Idown.s
R
I
ª ª Idown.s
» »== down.s bb s
Vdown.s
= «= «
˜ ˜
Vdown.s
1
1
R
R
R
R
R
1
1
R
R
R
R
R
« Rs« Rs R a RaRbRb a a b»b» aa bb s
¬ ¬
¼¼
Idown.s
Notethat
thatIdown.s
does
actually
appear
on output
the output
Note
does
notnot
actually
appear
on the
of of
thecurrent
currentsensing
sensing
transformer.
value
is only
the
transformer.
ThisThis
value
is only
usedused
toscale
scaleVV
to
ramp.s
ramp.s
Primary
magnetizing
slopecurrent,
current,VVmag.s
scaled
Primary
sideside
magnetizing
upup
slope
mag.s,, scaled
to output
the output
of the
current
sensingtransformer:
transformer:
to the
of the
current
sensing
Vbus_nom
Vbus_nom
AA
0.003
Imag.sImag.s
0.003
˜ ˜
L
˜
N
Lpri˜ Nprict ct
μsμs
Imag.s
both
contribute
theslope
slopecompensation.
compensation.
CT.s and
VCT.sVand
Imag.s
both
contribute
totothe
Ra RaRs Rs
RbR˜ bR˜ R
ss
Vramp.s
˜ VCT.s
Imag.s
Vramp.s
= = R R ˜RVCT.s
R R R˜ I˜mag.s
Ra aRs sRb b
Ra a Rb b Rs s
substituting
(c) and
(b):
substituting
(c) and
(d)(d)
intointo
(b):
M=
Note
of two
components.
Notethat
thatMMisiscomposed
composed
of two
components.
Imag.s
Imag.s is the slope compensation that is contributed by
Idown.s is the slope compensation that is contributed by
Idown.s
the magnetizing current of the power transformer
the magnetizing current of the power transformer
Ra Rs
Rb˜ Rs
Ra R
s
˜ VCT.s Rb˜ Rs
˜ Imag.s
Ra Rs ˜RVbCT.s Ra Rb R˜sImag.s
R
R
R
R
R
R
s
b
a
b
s
M =a
Simplifying:
Simplifying:
Idown.s˜ Rb˜ Rs
Idown.s˜ Rb˜ Rs
Ra Rb Rs
Ra Rb Rs
VCT.s˜ Ra Rs
the injected compensation.
and VCT.s˜ Ra Rsis
and Idown.s˜ Rb˜ Rs
is the injected compensation.
Idown.s˜ Rb˜ Rs
VCT.s˜ Ra Rs
Imag.s
VCT.s˜ Ra Rs
MImag.s
=
I
Idown.s˜ Rb˜ Rs
M=
down.s
Idown.s
Idown.s˜ Rb˜ Rs
Solving for Rb:
Solving for Rb:
VCT.s˜ Ra Rs
(eq 2) Rb = VCT.s˜ Ra Rs
Rs˜ Imag.s Idown.s˜ M
(eq 2) Rb = Rs˜ Imag.s Idown.s˜ M
Given Ra 499Ω Rb 10000Ω Rs 20Ω M 2
Given Ra 499Ω Rb 10000Ω Rs 20Ω M 2
1V˜ Ra Rb
Rs =
1V
˜
Rb˜R I
VCTE.p 1V RIasense.p
a
sense.p˜ Rb
Rs =
˜ R Isense.p˜ Rb
VCTE.p V1V ˜ IRsense.p
CT.s
a Rs a
Rb = V
˜ Ra IR
s ˜ M
RCT.s
s˜ Imag.s
down.s
Rb = ˜
I
I
R
§ Rs ·s mag.s down.s˜ M
§ 16.713 ·
Find Rs Rb ¨
¸Ω
§ Rs ·¨© Rb ¸¹
·¹
§ ©16.713
3431.248
¨ ¸ Find Rs Rb ¨
¸Ω
˜ KΩ
© 3431.248
¹ Rs 16.71 Ω
© Rb ¹Ra 499 Ω Rb 3.43
This is the second of two equations required to solve for
ThisResistor
is the second
twoand
equations
required to solve for
two
variablesof(Rs
Rb)
two Resistor variables (Rs and Rb)
Initial estimated values (note that M can be made larger
than
the
optimal value
of 1(note
to overcome
noise
on
Initial
estimated
values
that M can
beproblems
made larger
the
ramp
than
the input).
optimal value of 1 to overcome noise problems on
the ramp input).
Ra following
499 Ω values
Rb 3.43
KΩthe actual
Rs reference
16.71 Ω designators on the ISL6752 and ISL6754 daughter cards.
The
are˜for
The following values are for the actual reference designators on the ISL6752 and ISL6754
daughter
note
that R4 cards.
and R6
R13 Ra 499 Ω
R17 Rb 3431 Ω
R4 Rs˜ 2 33.4 Ω
R6 R4 33.4 Ω
are in parallel
note that R4 and R6
R13 Ra 499 Ω
R17 Rb 3431 Ω
R4 Rs˜ 2 33.4 Ω
R6 R4 33.4 Ω
are in parallel
Note that the portion of slope compensation
ratio contributed
Confirming the slope compensation ratio, M:
Imag.s
VCT.scompensation
˜ Ra Rs
Confirming
the slope
ratio,Imag.s
M:
2
Idown.sVCT.sIdown.s
Imag.s
˜ Ra ˜ RRb˜sR
s
2
Idown.s
Idown.s˜ Rb˜ Rs
5
Idown.s
Imag.s
Idown.s
I
0.447
0.447
I
mag.s
Notemag.s
thatcan
thebe
portion
of slope
compensation
ratio contributed
by
significant.
If Lpri
is small enough,
Idown.s
I
down.sImag.s
Imag.s
byitself cancan
be significant. If Lpri is small enough,
by
Idown.s be be greater than 1.
Idown.s
by itself can be be greater than 1.
AN1619.1
May 19, 2011
Application Note 1619
Step 4) Average Current limit (ISL6754 only)
In the above calculations, the value of Rs is calculated for pulse by pulse current limiting for Iout_PK 65 A . The average
current limit is set to a lower value ( Iout_avg 60 A ) to prevent the peak current limiting from interfering with the average
current limit control loop.
VIout Iout_avg
2˜ Nt˜ Nct
˜ Rs˜ 4
This is the output voltage on the Iout pin of the
ISL6754 when Iout_avg 60 A .
3.085 V
To limit the output current to Iout_avg, the resistor divider of R25 and R26 are chosen so that the voltage on FB (pin 7) is .6V
when VIout
100 uA.
3.085 V . For accurate performance, the maximum load on the Iout pin should also be limited to approximately
ISL6754 current sensing
6
Q1
CT
Given
R25 10KΩ
9
R25 R26
T1
D1
= 100˜ μA
RAMP
-
PWM
comparator
2
2
1
50:1
§ 24.9 ·
¨
¸ ˜ KΩ
© 6.0 ¹
- 0.6V +
7
These are the actual values used on the
ISL6754DBEVAL1Z control board:
R25 22100Ω
8
Verr
Ra
Rs
§ R25 · Find( R25 R26)
¨
¸
© R26 ¹
- 80 mV +
VCS
+
VIout
Rc
CS
Cycle by
cycle I limit
comparator
+
R26
˜ VIout = .6V
R25 R26
-
1V
+
R26 6KΩ
Rb
FB
-
R24
10
Average
current limit
amplifier
IOUT
R25
R26 6650Ω
R26
Step 5) Small Signal Gain of the Current Mode Power stage (Iout/Verr)
The input to the positive side of the PWM comparator (using superposition):
Isense˜ Rb˜ Rs
Vpwm_pos =
Ra Rb Rs
Ra Rs
Rs Ra Rb
˜ VCT.s˜ D˜ 2P .6V 80mV
verr
where Isense and D are variables
PWM current
mode power stage
zout
iout
vout
with gain gt
The input to the negative side of the PWM comparator:
Vpwn_neg =
Verr 2˜ Vdiode
Cout
RL
Resr
where Verr is a variable
3
The duty cycle terminates when Vpmw_pos = Vpwm_neg :
(eq A)
Isense˜ Rb˜ Rs
Ra Rb Rs
Ra Rs
Rs Ra Rb
˜ VCT.s˜ D˜ 2P .6V 80mV =
Peak Current sense:
(eq B)
Isense =
Iout
2˜ Nt˜ Nct
Vbus˜ Nt
1
Vo
Lind Nt˜ Nct
˜ D˜ P Vbus
Lpri˜ Nct
˜ D˜ P
Verr 2˜ .6V
3
The first term of eq. B is the average current of one
current doubler output inductor. The 2nd term is the up
slope current of one output inductor. The 3rd term is the
up slope current of the primary referenced magnetizing
inductance (Lpri) of the power transformer.
Duty cycle:
(eq C)
D=
Vo
Vbus
˜ Nt
6
AN1619.1
May 19, 2011
Application Note 1619
Substituting definitions of duty cycle D , eq C, and Isense , eq b, into eq A and simplifying:
1
§¨ Iout
·¸
Vbus˜ Nt Vo
Vbus
Ra Rs
Verr 2˜ .6V
§ 2˜ Nt˜ P˜ Vo˜ VCT.s
·
˜ D˜ P ˜ D˜ P .6V¸ 80mV =
¸ Rs Ra Rb ˜ ¨©
Lpri˜ Nct
Ra Rb Rs ¨ 2˜ Nt˜ Nct
Lind Nt˜ Nct
Vbus
3
¹
©
¹
Rb˜ Rs
˜
solving for Iout and isolating Verr
(eq E)
2˜ Nt˜ Nct Ra Rb Rs
Iout =
˜
3
Rb˜ Rs
˜ Verr Nt˜ Nct˜ V˜ 0.24˜ Ra 0.96˜ Rb 0.24˜ Rs
Rb˜ Rs
2
2˜ Nt˜ P˜ Vo˜ VCT.s 2˜ Nt˜ Nct˜ Ra Rs P˜ Vo˜ Vbus Nt˜ Vo
2˜ Nt ˜ P˜ Vo
˜
˜ 2˜ Nt˜ Nct Vbus
Rb˜ Rs
Lind˜ Nt˜ Nct˜ Vbus
Lpri
(eq E) is formatted as y=mx+b format where m is the slope and b is the offset of a line equation.
where:
x = Verr
m=
2˜ Nt˜ Nct Ra Rb Rs
˜
3
Rb˜ Rs
and
b=
2
Nt˜ Nct˜ V˜ 0.24˜ Ra 0.96˜ Rb 0.24˜ Rs
2˜ Nt˜ P˜ Vo˜ VCT.s 2˜ Nt˜ Nct˜ Ra Rs P˜ Vo˜ Vbus Nt˜ Vo
2˜ Nt ˜ P˜ Vo
˜
˜ 2˜ Nt˜ Nct Rb˜ Rs
Vbus
Rb˜ Rs
Lind˜ Nt˜ Nct˜ Vbus
Lpri
For AC analysis, Vo and Vbus are constants. The slope, m, is the small signal gain, gt , used for the bode analysis of the
peak current mode power stage
2˜ Nt˜ Nct Ra Rb Rs
gt 3
499 Ω
Ra
˜
gt
Rb˜ Rs
3.431˜ KΩ
Rb
29.825˜
Rs
A
V
16.713 Ω
These values are repeated here for reference.
To validate the above calculations, Iout is redefined as a function of Vo , Vbus and Verr
Iout Vo Vbus Verr Nt˜ Nct˜ V˜ 0.24˜ Ra 0.96˜ Rb 0.24˜ Rs
ª 2˜ Nt˜ Nct Ra Rb Rs
˜
˜ Verr «
Rb˜ Rs
Rb˜ Rs
« 3
2
« 2˜ Nt˜ P˜ Vo˜ VCT.s 2˜ Nt˜ Nct˜ Ra Rs P˜ Vo˜ Vbus Nt˜ Vo
2˜ Nt ˜ P˜ Vo
˜
˜ 2˜ Nt˜ Nct « Vbus
Rb˜ Rs
Lind˜ Nt˜ Nct˜ Vbus
Lpri
¬
Verror 0.5V 1V 5V
Vo_nom 12V Vo_min 6V
Vbus_max
450 V
Vbus_nom
400 V
º
»
»
»
»
¼
Vbus_min
330.361 V
100.0
Iout Vo_nom Vbus_max Verror
90.0
80.0
Iout Vo_nom Vbus_nom Verror 70.0
Iout Vo_nom Vbus_min Verror
Iout Vo_min Vbus_max Verror
Iout Vo_min Vbus_nom Verror
Iout Vo_min Vbus_min Verror
60.0
50.0
40.0
30.0
20.0
10.0
0.0
1.0 1.3 1.5 1.8 2.0 2.3 2.5 2.8 3.0 3.3 3.5 3.8 4.0 4.3 4.5 4.8 5.0
Verror
7
AN1619.1
May 19, 2011
Application Note 1619
The slope of these lines is the small signal gain
iout
verr
= gt
12 V (solid lines) or
These plots illustrate how Iout varies as Verror , Vbus , and Vo are changed. For constant Vo_nom
6 V (dotted lines), Vbus exhibits minimal influence on Iout as expected. For Vbus_min
constant Vo_min
330.4 V to
450 V (the operating input voltage range), Iout changes very little for a constant Verror .
Vbus_max
As Vo is varied, between Vo_nom and Vo_min , gt remains constant. This is also expected because the slope compensation
does not changed as Vo deviates from the nominal output voltage of 12V. When Vo decreases, as it will during current
limit, the down slope current of the output inductors also decreases effectively increasing the slope compensation
because the injected slope compensation from Vct does not change.
Xpwm =
gt =
stage. vout is the small signal output voltage and verr is
the small signal control voltage from the error amplifier.
verr
iout
or
verr
iout =
Xpwm is the gain of the PWM current mode power
vout
vout
verr =
zout
vout
Xpwm =
verr =
vout
iout
iout
gt
gt is the transconductance of the PWM current mode
stage.
gt
=
zout is the load impedance on the output of the current
mode power stage. RL is the output load, Cout is the output
capacitance and Resr is the ESR of the output capacitance.
vout
gt˜ zout
= gt˜ zout
gt˜ zout
note: the impedance of two parallel components is
1
ª«
1 · »º
1 §
zout = RL ¨Resr ¸
«¬
Cout˜ s ¹ »¼
©
RL =
1
1
z
=
1
z1
1
z2
or
1
z = z1
1
z2
1
Vout
Iout
s
gt = gt˜ §¨
1¸·
Freq
˜ 2˜ π
¨
¸
© 2
1
The small signal gain has a pole at 1/2 the switching
frequency (refer to Unitrode application note U-97)
¹
This gain function is used in the bode analysis for the
ISL6752 and ISL6754.
1
1 ª
s
1 · »º
« 1 §
Xpwm ( s) = gt˜ ª«
1º» ˜ RL ¨Resr ¸
Cout˜ s ¹ »¼
¬ ( π˜ Freq) ¼ «¬
©
8
1
verr
PWM current
mode power stage
zout
iout
vout
with gain gt
Cout
RL
Resr
AN1619.1
May 19, 2011
Application Note 1619
Step 6) Compensation of the Voltage Error Amplifier
Functions for Bode Analysis
db ( G f ) 20 log G 2π f ˜ j Gain in decibels of a Laplace gain function G for frequency f
§
©
ϕ ( G f ) mod ¨arg G 2π f ˜ j ˜
180
π
·
¹
360¸
fUnityGain ( G) Phase in degrees of a Laplace gain function G
8
root db ( G f ) f 100 10
Unity gain frequency of function G
ϕmargin ( G) ϕ G fUnityGain ( G) 0
Unity gain phase margin of function G
§ db ˜ 20 1·
© v
¹
Vdb2V dbv 10
F f0 fN N i db to voltage function
for i  0 N
Equidistant frequency data points for plotting:
i
§ fN ·
f i m f0˜ ¨ ¸
© f0 ¹
This function generates N equidistant frequency data points on
the log X scale with starting frequency f 0 and ending
N
frequency f N
f
N 200
i 0 N
8
f F .01 1 u 10 N i
9
f
0
0.01
fN
6
100 u 10
AN1619.1
May 19, 2011
Application Note 1619
Open loop gain of the LMV431
From LMV431data sheet
The open loop transfer function of the LMV431 is created here by inserting poles as necessary to recreate
the Gain/Phase plot found in the data sheet. Note that the phase shift is relative to the input.
Vdb2V 57
GLMV431 ( s) db GLMV431 f
i
s
s
·§
§
1·
¨ 1000˜ 2˜ π 1¸ ˜ ¨
©
¹ 1 u 106˜ 2˜ π ¸
©
¹
80
180
70
150
60
120
50
90
40
60
30
30
20
0
10
30
0
60
10
90
0
20
100
1u 10
3
1u 10
fUnityGain GLMV431f i
10
4
1u 10
120
6
1u 10
5
605.566 u 10
ϕ GLMV431 f
i
3
AN1619.1
May 19, 2011
Application Note 1619
Gain of the Voltage Amplifier
Vi
R3
For an Inverting Opamp the gain function, X(s), can be simplified to:
Cx
Rx
XVerror.Amp ( s) =
H1 ( s) ˜ GLMV431 ( s)
Vo
=
Vi
1 H2 ( s) ˜ GLMV431 ( s)
U1
LMV431
R5
1
ª§ 1
1 º»
·
Ǭ
Rx¸ R5¼
¬© Cx˜ s
¹
H1U1 ( s R3 R4 R5 Rx Cx) 1
ª§ 1
1 ȼ
·
Ǭ
Rx¸ R5¼
¬© Cx˜ s
¹
1
1
1
1º
ª
« ( R3 R4) R5»
¬
¼
1
gain block diagram for an inverting amplifier
( R3 R4)
H2(s)
1
1º
ª
« ( R3 R4) R5»
¬
¼
H2U1 ( s R3 R4 R5 Rx Cx) Vo
R4
1
Vi
1
ª 1
· º
«§¨
Rx¸ »
¬© Cx˜ s
¹ ¼
1
Vo
H1(s)
GLM431(s)
These values are used here only to illustrate and confirm the gain/phase functions
R3 18˜ 10
9
3
Cx .1˜ 10
Rx 0
1 H2U1 ( s R3 R4 R5 Rx Cx) ˜ GLMV431 ( s)
db XVerror.Amp f i
0
3
R5 2.15˜ 10
H1U1 ( s R3 R4 R5 Rx Cx) ˜ GLMV431 ( s)
XVerror.Amp ( s) db GLMV431 f
i
R4 649
60
180
50
150
40
120
30
90
20
60
10
30
0
0
10
30
20
60
30
90
40
120
50
150
60
1u 10
100
3
1u 10
f
11
4
1u 10
5
ϕ XVerror.Amp f i
ϕ GLMV431 f
i
180
6
1u 10
i
AN1619.1
May 19, 2011
Application Note 1619
Open loop gain of EL5111
(note: some earlier releases of the ISL6752DBEVAL1Z and ISL6754DVEVAL1A use the EL5120 instead of the EL5111. The EL5120 has
been obsoleted and is not recommended for new designs. In this application, the EL5120 and EL5111 are interchangeable.)
From EL5111 data sheet
Note that the phase of
this graph is the output
referenced to the
negative input of the
opamp.
The open loop transfer function of the EL5111 is created here by inserting poles as necessary to recreate the gain/phase
plot found in the data sheet.
Vdb2V 68
G5111 ( s) s
s
§
1¸· ˜ §
1·
¨
¨
© 19000˜ 2˜ π ¹ 100 u 106˜ 2˜ π ¸
©
¹
db G5111 f
i
0
80
250
70
220
60
190
50
160
40
130
30
100 ϕ G5111 f i
20
70
10
40
0
10
20
20
1u 10
The phase of this graph
is the output referenced
to the negative input of
the opamp.
10
3
1u 10
4
1u 10
5
1u 10
f
fUnityGain G5111
12
2
i
6
1u 10
7
50
8
1u 10
6
40.889 u 10
AN1619.1
May 19, 2011
Application Note 1619
Gain of the EL5111 Compensation amplifier
Vout
VDD
R24
R24
R13
R23
C9
D2
Vin
PS2701
CTR ˜ 1
-
-
U2
EL5111
+5V
+
+
Actual Compensation
Amplifier
R23
C9
R13
-Vin
Vout
-
-
U2
EL5111
+
Vout
+
Equivalent AC Model
The compensation amplifier provides two functional advantages. First, the optocoupler, D2, is biased with a constant voltage
across the collector and emitter. The closed DC feedback loop around U2 keeps the negative input virtually at the same
voltage as the positive input resulting with a constant DC voltage (VDD - 5V) across the optocoupler. The advantage of this
cascode configuration is that there is no regenerative AC feed back through Ccb of the opto transistor. Consequently, the
pole introduced by the optocoupler is greatly increased in frequency. The improved bandwidth of the opto removes its
detrimental influence on the voltage feedback loop.
Note that R13 is the same value in the ac model as it is in the actual circuit. This is the consequence of the optocoupler
having a nominal ctr = 1. Also, note the negative value of Vin in the equivalent AC Model. This is necessary because in the
actual circuit, Vin and Vout at low frequencies are in phase. In the equivalent AC Model, because the opamp is an inverting
configuration, Vin must be negated to preserve the correct phase of the actual circuit.
The second advantage of this opamp is that the loop compensation network is on the secondary side. Traditionally, the
compensation network is applied around the LMV431. The problem is that when the average current regulator takes control
of the loop to regulate the output current (by controlling the PWM input), the voltage regulator loop is opened causing the
LMV431 output to saturate to the positive rail (Vout). If the voltage loop compensation is around the LMV431, the feedback
network will greatly slow the slew rate (~ msecs) of the output of the LMV431. If the load is quickly reduced below the current
regulation value (the current limit), the output voltage will overshoot until the output of the LMV431 slews down to the voltage
necessary to regulate the output voltage (taking control away from the current regulator). This effect is especially bad for a
short circuit load dump. If the loop compensation is not located around the LMV431, the output of the LMV431 will still
saturate when the current regulator is in control of the PWM input, but the output is not now impeded by the local feedback
and will recover very quickly minimizing the output voltage overshoot.
Note that the compensation network around U2 is decoupled from the output of U2 by the series diode on the output. This
diode prevents the feedback network capacitor from charging up to the rail voltage. This same technique is used on the
output of the current regulator opamp (internal to the ISL6754). In a manner similar to the voltage control loop, the output of
the current regulator is saturated when the voltage loop has control. Without the diode on its output, the
current regulator would also be slow to respond to an over current for the same reason as stated for the voltage regulator
loop.
13
AN1619.1
May 19, 2011
Application Note 1619
The voltage gain function for an Inverting Opamp:
gain block diagram for an inverting amplifier
H2(s)
X ( s) =
H1 ( s) ˜ G5111 ( s)
Vo
=
Vi
1 H2 ( s) ˜ G5111 ( s)
1
º
ª 1
1
·
«§¨
R23¸ Cx˜ s»
R24
¬© C9˜ s
¹
¼
H1U2 ( s R13 R24 R23 C9 Cx) 1
º
ª§ 1
1
·
Ǭ
R23¸ Cx˜ s»
R24
¬© C9˜ s
¹
¼
G5120(s)
H1(s)
-Vi
Vo
1
1
R13
R13
H2U2 ( s R13 R24 R23 C9 Cx) 1
º
ª§ 1
1
·
R23¸ Cx˜ s»
R13 Ǭ
R24
¬© C9˜ s
¹
¼
1
These values are used here only to illustrate and confirm the compensation around the EL5111 amplifier:
126
R24 10˜ 10
R23 4000
XComp.Amp ( s) R13 2200
123
Cx 100˜ 10
C9 .01˜ 10
6
H1U2 ( s R13 R24 R23 C9 Cx) ˜ G5111 ( s) 1 H2U2 ( s R13 R24 R23 C9 Cx) ˜ G5111 ( s)
db G5111 f i
db XComp.Amp f
i
100
180
80
135
60
90
40
45
20
0
0
45
20
90
40
135
60
1
10
100
1u 10
3
1u 10
f
14
ϕ G5111 f i
ϕ XComp.Amp f
i
4
1u 10
5
1u 10
6
180
7
1u 10
i
AN1619.1
May 19, 2011
Application Note 1619
Current mode PWM power stage gain with output loads
The derivation of this small signal gain for the PWM power stage is found in step 5).
gt =
2˜ Nt˜ Nct ( R11 R14 R1_2)
˜
( R14˜ R1_2)
3
PWM current
mode power stage
verr
zout
iout
vout
with gain gt
1
1 ª
s
1 · »º
« 1 §
Xpwm ( s) = gt˜ §¨
1·¸ ˜ RL ¨Resr ¸
Cout˜ s ¹ »¼
© Freq˜ π ¹ «¬
©
Cout
1
RL
Resr
Converting Xpwm to a function:
R11 499
3
R14 9.09˜ 10
Nt 13
Cout 8800˜ 10
Nct 50
Resr 0.02
R1_2 13.2
gt 6
Vout 12
Iout 60
Freq 208300
2˜ Nt˜ Nct ( R11 R14 R1_2)
˜
( R14˜ R1_2)
3
s
Xpwm ( s) gt˜ §¨
1·¸
Freq
˜π
©
¹
db Xpwm f
i
Vout
RL Iout
34.678
1
ª«
1 · »º
1 §
˜ RL ¨Resr ¸
«¬
Cout˜ s ¹ »¼
©
1
1
40
30
30
0
20
30
10
60
0
90 ϕ Xpwm f i
0
10
120
20
150
30
180
40
1
10
100
1u 10
3
1u 10
f
15
4
1u 10
5
1u 10
6
210
7
1u 10
i
AN1619.1
May 19, 2011
Application Note 1619
Bode plot for the total Voltage loop gain
The Resr contributes significantly to the stability of the loop by introducing a zero to the bode of PWM current mode power
stage. With Resr = 0, the phase margin of the complete loop is at a minimum (but still stable). With increasing values of
ESR, the phase margin improves and the unity grain frequency increases. The nominal value of Resr of the ISL6754EVAL
board is 0.02 ohms. But as operating temperatures decrease, the Resr value increases resulting in the unity gain
frequency approaching the PWM switching frequency. To avoid PWM switching frequency instability, it is wise to add a
pole on the U2 amplifier to reduce the unity gain frequency.
In this design example, if the gain of the compensation amplifier is set for no poles and zeros (except for the inherent
pole of the amplifier) by setting R23 to infinity and/or by setting C9 to a very small value (although not zero), the loop is
stable without any further compensation. This is the consequence of the single pole of the LMV431 error amplifier and
the zero of the PWM current mode stage canceling each other.
As with any analysis, some assumptions are made. In this bode analysis, the following assumptions were made:
1) The esl of the output capacitors are assumed not to significantly contribute the the bode of the PWM to output gain
stage.
2) the turn off delays of the PWM control and bridge FETs is assumed to be insignificant. In reality, the turn off delay may
result in non-linear transconductance gains of the PWM current mode stage. It is important that the turn off delays be as
minimal as possible (~1% of the total PWM switching period).
3) the bandwidth of the opto transistor is assumed to be high enough to not contribute poles that affect the closed loop
phase.
Because other parasitic effects may also result with unexpected loop response, it is absolutely necessary to actually
measure the bode response to insure that the loop compensation is adequate.
Vi
Error amplifier
3
R3 18˜ 10
R4 649
R3
Cx
Rx
3
R5 2.15˜ 10
Rx 0
12
Cx 100˜ 10
Xerror.Amp ( s) Vo
R4
U1
LMV431
R5
H1U1 ( s R3 R4 R5 Rx Cx) ˜ GLMV431 ( s)
1 H2U1 ( s R3 R4 R5 Rx Cx) ˜ GLMV431 ( s)
Compensation amplifier
Cx
R23 5000
R13 5000
R24 5000
R24
R23
C9
6
C9 1 u 10
126
Cx 1˜ 10
XComp.Amp ( s) R13
-Vin
H1U2 ( s R13 R24 R23 C9 Cx) ˜ G5111 ( s) 1 H2U2 ( s R13 R24 R23 C9 Cx) ˜ G5111 ( s)
-
-
U2
EL5111
+
Vout
+
Equivalent AC Model of the
Compensation Amp
16
AN1619.1
May 19, 2011
Application Note 1619
PWM Current Mode Stage
6
R14 10000
Cout 8800˜ 10
Resr .020
Vout 12
Iout.min .011
Iout.max 66
R11 499
30.9
2
Nct 50
R1_2 PWM current
mode power stage
zout
iout
vout
with gain gt
Cout
1
RL_max 2˜ Nt˜ Nct ( R11 R14 R1_2)
3
verr
RL
RL_min Vout˜ Iout.min
Nt 13
gt Output parameters
˜
Xpwm.RLmin ( s) Xpwm.RLmax ( s) ( R14˜ R1_2)
Resr
1
Vout˜ Iout.max
29.49
gt
Xpwm.RLmin Gain function for min load
1
ª
1 · »º
1 §
§ s 1· ˜ «R
¨ Freq˜ π ¸ « L_min ¨Resr C ˜ s ¸ »
©
¹¬
out ¹ ¼
©
gt
1
ª
1 · º»
1 §
§ s 1· u «R
¨ Freq˜ π ¸ « L_max ¨Resr C ˜ s ¸ »
©
¹ ¬
out ¹ ¼
©
Xpwm.RLmaxGain function for max load
Xtotal.gain.RLmin ( s) Xerror.Amp ( s) u XComp.Amp ( s) ˜ Xpwm.RLmin ( s)
Xtotal.gain.RLmax ( s) Xerror.Amp ( s) ˜ XComp.Amp ( s) ˜ Xpwm.RLmax ( s)
Gain and Phase for Minimum Load
60
180
50
150
40
120
30
20
db XComp.Amp f i
10
db Xerror.Amp f i
0
db Xpwm.RLmin f i
10
90
0
20
60
30
90
40
120
50
150
db Xtotal.gain.RLmin f
i
60
30
0
ϕ Xtotal.gain.RLmin f
i
30
60
1
10
100
1u 10
3
1u 10
f
fUnityGain Xtotal.gain.RLmin
17
11557
4
1u 10
5
1u 10
6
180
7
1u 10
i
ϕmargin Xtotal.gain.RLmin
81
AN1619.1
May 19, 2011
Application Note 1619
Gain and Phase for Maximum Load
60
180
50
150
40
120
30
20
db XComp.Amp f i
10
db Xerror.Amp f i
0
db Xpwm.RLmax f i
10
90
0
20
60
30
90
40
120
50
150
db Xtotal.gain.RLmax f
i
60
30
0
ϕ Xtotal.gain.RLmax f
i
30
60
1
10
100
1u 10
3
1u 10
f
fUnityGain Xtotal.gain.RLmax
4
1u 10
5
1u 10
180
7
1u 10
6
i
ϕmargin Xtotal.gain.RLmax
10428
82
Load Regulation
As can be seen in the above bode plots, the low frequency closed loop gains at minimum load and maximum load varies
significantly primarily because of the change in gain of the PWM output stage. The consequence is that the output voltage will
droop as the load increases from minimum to maximum. This droop is relatively large in this design example because the gain
of the LMV431 error amplifier is relatively low (especially when compared to the EL5111).
Vref 1.24V
Vout 12V
The reference voltage of the LMV431
The output voltage of the ISL6754EVAL board
R5 2.15KΩ
R3_4 18.649KΩ
R3_4 is the sum of R3 and R4
1) Vref Vneg ˜ AVOLoop = Vout
also
2)
Vneg Where AvOLoop is the open loop gain including all of the
gain elements (LMV431, EL5111, and PWM output).
R5
˜ Vout
R5 R3_4
R3_4
substituting 2) into 1):
R5
Vneg
R5˜ Vout ·
§
¨Vref ¸ ˜ AVOLoop = Vout
R5
R3_4 ¹
©
-
-
AvOLoop
Vref = 1.24V
+
Vout = 12V
+
solving for Vout and converting to a function:
Vout AVOLoop Vref
Equivalent DC Model
of the Closed Loop
R5
1
R5 R3_4 AVOLoop
Because the Xtotal.gain includes the degenerative gain of the voltage scaling resistors R3_4
and R5, we must exclude this gain stage from this load regulation analysis.
11.9957˜ V
This is the DC output voltage
when Iout.min 0.011
db XComp.Amp f 0 db Xpwm.RLmax f 0 11.9652˜ V
This is the DC output voltage
when Iout.max 66
0
Vout Vdb2V db GLMV431 f db XComp.Amp f 0 db Xpwm.RLmin f 0
0
Vout Vdb2V db GLMV431 f
18
AN1619.1
May 19, 2011
Application Note 1619
Load regulation:
db XComp.Amp f 0 db Xpwm.RLmax f 0 0
Vout Vdb2V db GLMV431 f db XComp.Amp f 0 db Xpwm.RLmin f 0 0
Vout Vdb2V db GLMV431 f
LoadRegLMV431 99.746˜ %
If an EL5111 is substituted for the LMV431 as the error amplifier, additional
gain is added to the open loop gain which improves the load regulation:
57
0
db G5111 f 68
0
db GLMV431 f
Vout Vdb2V db G5111 f
Low Frequency gain of the EL5111
db XComp.Amp f 0 db Xpwm.RLmin f 0 This is the DC output voltage
when Iout.min 0.011
11.9957˜ V
0
This is the improved DC output
voltage when Iout.max 66
db XComp.Amp f 0 db Xpwm.RLmax f 0 11.9871˜ V
Vout Vdb2V db G5111 f db XComp.Amp f 0 db Xpwm.RLmax f 0 0
Vout Vdb2V db G5111 f db XComp.Amp f 0 db Xpwm.RLmin f 0 0
Vout Vdb2V db G5111 f
LoadRegEL5111 Low Frequency gain of the LMV431
0
99.928˜ %
Step 7) Compensation of the Current Error Amplifier
Open Loop Gain of the ISL6754 Internal Amplifier
G6754 ( s) Vdb2V 100
The GBWP of the internal amplifier is specified as
5MHz. Although, the maximum gain a low frequencies is
not specified, for the purpose of this analysis, the max
gain is assumed to be 100db.
§ s 1·
¨ 50˜ 2˜ π ¸
©
¹
db G6754 f
i
0
100
180
80
135
60
90
40
45
20
0
0
45
20
90
40
135
60
10
1u 10
100
3
1u 10
4
1u 10
f
5
1u 10
6
1u 10
7
ϕ G5111 f
i
180
8
1u 10
i
fUnityGain G6754
6
5 u 10
Gain of the Current Error Amplifier
The scaling factor for current sensing (From step 4)
R25 22100
R26 6650
VS Iout_avg˜ §¨
4R1_2
·
¸
© 2˜ Nt˜ Nct ¹
19
AN1619.1
May 19, 2011
Application Note 1619
For an Inverting Opamp the gain function, X(s), can be simplified to:
Vo
Iout_avg
=
H1 ( s) ˜ G6754 ( s)
§ 4Rs ·
¸
˜¨
1 H2 ( s) ˜ G6754 ( s) © 2˜ Nt˜ Nct ¹
1
ª§ 1
1 º
·
Ǭ
»
R38¸ R26¼
¬© C11˜ s
¹
H1U1 ( s R25 R26 R38 C11) 1
ª§ 1
1 º
·
Ǭ
»
R38¸ R26¼
¬© C11˜ s
¹
1 º
ª 1
« ( R25) R26»
¬
¼
1
1
6
XIerror.Amp ( s) -
7
R26
Vo
Iref
11
( R25)
Amplifier
internal to
the ISL6754
1
1
ª§ 1
· º
Ǭ
R38¸ »
¬© C11˜ s
¹ ¼
H2(s)
1
Iout_avg
These values are used to compensate
the current regulation closed loop.
C11 .01˜ 10
4•Rs Vs
2Nt•Nct
2
R25
1
ª 1 1 º
«
»
¬ ( R25) R26¼
H2U1 ( s R25 R26 R38 C11) Iout_avg
C11
+
XIerror.Amp ( s) =
R38
4•Rs Vs
2Nt•Nct
H1(s)
G6754(s)
Verr
gain block diagram for the Current error amplifier
R38 0
H1U1 ( s R25 R26 R38 C11) ˜ G6754 ( s)
§ 4 u 100 ·
¸
˜¨
1 H2U1 ( s R25 R26 R38 C11) ˜ G6754 ( s) © 2˜ Nt˜ Nct ¹
Gain of the PWM Current Mode Power Stage
From step 5)
gt
s
1·¸
Freq
˜ 2˜ π
¨
¸
gt ( s) gt˜ §¨
© 2
PWM current
mode power stage
verr
Low frequency gain (Iout_avg/Verr)
29.49
1
Iout_avg
with gain gt
with switching frequency pole
¹
Total Current Regulation Loop
GainC11 10 u 10 9
R38 0
XIloop.total.gain ( s) XIerror.Amp ( s) ˜ gt ( s)
db XIerror.Amp f i
db gt f i
db XIloop.total.gain f
i
0
100
180
90
150
80
120
70
90
60
60
50
30
40
0
30
30
20
60
10
90
0
120
10
150
20
1
10
100
1u 10
f
fUnityGain XIloop.total.gain
20
ϕ XIerror.Amp f i
ϕ gt f i
ϕ XIloop.total.gain f
i
6518
i
3
1u 10
4
1u 10
5
180
6
1u 10
ϕmargin XIloop.total.gain
86
AN1619.1
May 19, 2011
ISL6754DBEVAL1Z Schematic
VDD
R29
R8
0
R30
1
3
EMITTER
1K
R33
499
5
4
EL5111
EL5120IWT
V+
2
C11
4.75K 0.01UF
3
4
9
10
DISABLE J1
3
J1
16
5
OUTUL
OUTUR
OUTLLN
15
7
J1
J1
J1
CS
OUTLRN
IOUT
GND
ISL6754AAZA
12
C5
C10
14
9
13
11
13
11
OUTLL
OUTLR
OUTUL
OUTUR
J1 OURLLN
J1 OUTLRN
C15
0.1UF
1
THIS PAD
BETWEEN
100PF
3
Q2
100PF R39
10K
C17
1K
1
2
10K
BSS138
10K
C18
100PF
R35
C16
R34
2
6.65K
100PF
82PF
100PF
C4
18
VREF
D5
100PF
C8
100PF
C6
10K
10
6.65K
R10
CS- J1
33.2
R7
12
R4
PGND J1
33.2
R6
R25
100
14
8
499
17
19
R37
DNP
1K
OUTLL
OUTLR
CT
FB
RAMP
7
22.1K
8
6
R18
499
R12
6
3.48K
R20
R17
R13
20
RTD
RESDEL
5
R24
SS
VADJ
VDD
VREF
VERR
CTBUF
2
R36
1K
R31
R38
100
2 Q1
1
61.9K
U4
MMBT2222LT1
R21
1
15.4K
R9
C2
3
VREF
TP_PRI
PGND
R26
PGND
4
5
U2
3
V+
OUT
1
DRAWN BY:
D3
1
ANODE
2
CATHODE
COLLECTOR
4
1
EMITTER
3
2
V-
TSW-102-08-T-D-RA
J2 SR_ENABLE
J2 SEC_GND
2
0.1UF
EL5111
EL5120IWT
C9
DNP
4
R15
R27
10K
10K
R14
R23
DNP
DNP
R19
VDD
VREF
PS2701
SEC_GND
AN1619.1
May 19, 2011
PGND
FIGURE 3. ISL6754 CONTROL CARD SCHEMATIC
RELEASED
UPDATED
RICHARD_GA
BY:
BY:
Application Note 1619
0.1UF
VDD
PGND
PGND J1
2
PGND
SEC_GND
TSW-107-08-T-D-RA
VDD J1 1
VREF J1 2
CS+ J1
CS J1
D4
1
V-
C14
C13
R28
1K
1
OUT
3
C7
0.1UF
U3
0.1UF
R22
PS2701
DNP
BZX84C6V8LT1
C
D1
1 A
2 NC
4
CATHODE
R32
C12
3
2
3
R3
SEC_GND J2
2.15K
21
SGND
DNP
4
COLLECTOR
0.1UF
U1
1
LMV431AIMF
D2
ANODE
2
TBD
DNP
R2
TP_SEC
649
R5
C3
1K
R16
1K
R11
R1
C1
0.1UF
18K
499
0.01UF
3
+12VOUT J2
ISL6752DBEVAL1Z Schematic
VDD
R29
R8
C2
2
CATHODE
4
EMITTER
3
R31
1K
C12
R33
499
5
4
EL5111
EL5120IWT
D4
U3
OUT
1
2
V-
C14
0.01UF
R24
1K
C13
3
C7
0.1UF
V+
0.1UF
DNP
R22
BZX84C6V8LT1
C
D2
PS2701
1
2
A
3
R3
2.15K
22
LMV431AIMF
4
SGND J2
DNP
COLLECTOR
0.1UF
U1
1
SGND
1K
R16
ANODE
3
1
2
R5
D5
OPEN
DNP
R2
649
TP_SEC
C1
0.1UF
R11
18K
R1
499
NC
+12VOUT J2
0
R30
1K
3
PGND
TSW-107-08-T-D-RA
VDD J1 1
VREF
C11
3
DNP
5
13
7
12
9
OUTLLN
11
11
J1
J1
J1
OUTLRN
CS
GND
ISL6752AAZA
10
13
J1
6
RESDEL
CT
OUTUL
OUTUR
9
5
3
1
PGND
DISABLE J1
4
FIGURE 4. ISL6752 CONTROL CARD SCHEMATIC
ANODE
2
CATHODE
COLLECTOR
4
1
EMITTER
3
2
2
PGND
PGND
D3
1
V-
C9
20K
R15
47UF
2
C16
1K
OUT
4
EL5120IWT
EL5111
0.1UF
3
10K
Q2
R27
U2
V+
1
10K
10K
R34
R35
100PF
10K
C17
R37
C10
47PF
6.65K
C5
82PF
R7
C4
100PF
47PF
C8
10K
R18
BSS138
100PF
10K
10
37.4
R10
CS- J1
R6
12
R4
PGND J1
C6
VDD
1M
R19
R32
37.4
TP_PRI
14
OUTLL
OUTLR
OUTUL
OUTUR
OURLLN
OUTLRN
VREF
VREF
100
PGND J1
J1
J1
R23
61.9K
R36
3
14
VERR
CTBUF
0.1UF
10K
R14
R21
3.48K
R17
R12
8
OUTLL
OUTLR
15
RTD
8
499
16
5
7
R13
VDD
VADJ
VREF
2K
665
100
4
6
CS J1
1
2
D1
2 Q1
PGND
CS+ J1
R28
1
20K
R9
C3
0.1UF
U4
MMBT2222LT1
R20
3
PS2701
TSW-102-08-T-D-RA
J2 SR_ENABLE
J2 SGND
Application Note 1619
2
VREF J1
AN1619.1
May 19, 2011
Application Note 1619
ISL6754DBEVAL1Z REV.B
C2
R22
R6
R4
R12
C16
R11
C17
Q2
R28 C13
R35 R34 R36
C15
D4
U3
D2
R39
R33
C12
R16
C5
C4
U4
R30
R32
R20
R25 R26
R24
C11
R18
R19
C7
J2
R7
C10
R23
D3
R10
C6
R9
D5
C14
D1
U1
R1
R8
C18
R27
R2
R5
C3
U2
C1
R13
R29
R3
R15
R14
C9
R31
R38
Q1
R21 R17
C8
R37
J1
FIGURE 5. ISL6754 CONTROL CARD TOP ASSEMBLY
23
AN1619.1
May 19, 2011
Application Note 1619
ISL6754DBEVAL1Z REV.B
C8 R21 R17
R26 R31
R38
R13
C11
R18 D5 R7
C9
C2
Q1
C18
C1 D3 R23
R1
U4
D4
R33
D1
C14
R11
D2
J2
U3
R22
R6
R4
R12
R28 C13
J1
C15
C5
C4
R39 C17
Q2
C16
R37
C12
R29
R16
C3
C10
R19
R30
R32
R27
R8
U1 C7
C6
R9
R35 R34 R36
U2
R3
R2
R5
R10 R20
R25
R24
R15
R14
Pb
FIGURE 6. ISL6754 CONTROL CARD TOP LAYER
24
AN1619.1
May 19, 2011
Application Note 1619
ISL6754DBEVAL1Z REV.B
FIGURE 7. ISL6754 CONTROL CARD BOTTOM LAYER
25
AN1619.1
May 19, 2011
Application Note 1619
ISL6752DBEVAL1Z REV.B
R21
Q1
R20
R17
C8
U2
C16
R24
D4
D5
Q2
U3
R16
R11
R33
C12
R29
D2
C4
R31
C7
C5
U4
R30
R32
D3
R9
C13
R34
R23
C2
U1
R8
C6
R19
C14
R5
R36
R35
R1
R7
R10
C11
R2
C17
D1
C1
R27
R3
C10
C3
R13
R18
R37
R28
R15
R14
C9
R22
R4
J2
R6
R12
J1
FIGURE 8. ISL6752 CONTROL CARD TOP ASSEMBLY
26
AN1619.1
May 19, 2011
Application Note 1619
Pb
U3
C14
R11
R22
R4
J2
R6
R12
R10 R20
U4
R28
R33
R34 R32
D2
C5
C4
C11
D5
R27
R29C12
R30
R31
D4
C2
R16
C3
R19
R8
U1 C7
C6
R9
Q2
C16
R3
R2
R5
Q1
D1
SGND
C9
TP_SEC
U2
C1 D3 R23
R1
R15
R14 TP_PRI
R17
R37
C17
R36
R21
C8
R13 C10
R18 R7
PGND
ISL6752DBEVAL1Z REV.B
R24 C13
R35
J1
ISL6752DBEVAL1Z
REV.A
FIGURE 9. ISL6752 CONTROL CARD TOP LAYER
27
AN1619.1
May 19, 2011
Application Note 1619
ISL6752DBEVAL1Z REV.B
FIGURE 10. ISL6752 CONTROL CARD BOTTOM LAYER
Intersil Corporation reserves the right to make changes in circuit design, software and/or specifications at any time without notice. Accordingly, the reader is
cautioned to verify that the Application Note or Technical Brief is current before proceeding.
For information regarding Intersil Corporation and its products, see www.intersil.com
28
AN1619.1
May 19, 2011