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Last modified: February 2020

I have well progressed with my next book on small-signal modeling of switching converters. I've finished four chapters and determined in details transfer functions of the buck, the boost and the boost-converters (and their isolated derivatives) using the PWM switch model in fixed switching frequency, fixed on- and off-time, quasi-resonant, voltage- and current-mode control, CCM and DCM. Quite an ambitious project I now reckon but reviewers encouragements push me to pursue the task. The 5th chapter is done and I have transfer functions for the higher-order converters like SEPIC, Zeta or LLC. Here is the tentative table of content. Next stop before submitting the manuscript is APEC in New-Orleans for a seminar on analog and digital compensators. Hope to see you there!

My most recent book describes how to apply fast analytical circuits techniques (FACTs) when determining linear circuit transfer functions and is available from Wiley via numerous distributors. You will learn how to analyze simple to complex linear circuits by determining the circuit's time constants in different configurations. The idea is to split a complex circuit into small sketches and solve them independently. Then assemble the results to form the complete transfer function. The book is published by Wiley in the IEEE press imprint. Each chapter is offering 10 fully-documented problems so that you can check if you have acquired the skill. This book is currently being translated into French and should soon be available in that language. If you have contacts for publications in German, Italian or Spanish, I am open to suggestions. The French version has now been released while the Chinese version is on its way.

The front cover is shown below:

There are 5 chapters, gradually introducing you to the technique. The Table of Contents (TOC) is here.

**Chapter 1**: it is an introduction with generalities on
time constants and transfer functions. You will learn how to determine the
resistance driving a capacitor or an inductor by looking into the component's
terminals. Through a refresh on classical theorems, you will see how you can
simplify circuits analysis and smoothly enter the world of Fast Analytical
Circuits Techniques (FACTs).

**Chapter 2**: this chapter starts with the definition of
a linear system. What are the mathematical differences between a linear and a
non-linear circuit. Time constants are introduced and linked to the forced and
natural responses of a circuit in the time domain. Transfer functions are
formely defined with various polynomial forms up to the order *n*. The 1st-order
generalized tranfer function is given in this chapter.

**Chapter 3**: the Extra-Element Theorem (EET) is defined
the way I understood it, with many simple drawings to teach how it was derived
by Dr. Middlebrook. Null double injection is explained in this chapter with a
method to verify your calculations using SPICE. Numerous simple passive and
active circuits examples follow to show the power of this theorem. A simple
variation of the theorem leads to the generalized transfer function of a 1st-order
system, identical to that given in Chap. 2 but following a different path.
Using this generalized form, you do not need to go through the null double
injection and it amazingly simplifies the determination of transfer functions
for any 1st-order networks.

**Chapter 4**: this chapter is entirely dedicated to passive
or active 2nd-order circuits, built with op amps or transistors. The 2-EET is
defined and a simple method is detailed to obtain transfer functions swiftly.
Once the skill is acquired, you can determine some of the transfer functions
without writing a single line of algebra!

**Chapter 5**: we enter 3rd-order circuits and above,
using a generalized transfer function formula. Learn how you can determine op-amp
based filters transfer functions by calculating time constants in various
configurations. By breaking a complex circuit into smaller and simpler
configurations, you can determine the transfer function of a complex circuit
efficiently. By using SPICE in each step, you can verify your results and
correct a mistake at any time in the derivation.

Google books offers a preview here. There is a book review here and PET published an excerpt here. How2Power also published another review in the July 2016 issue. The September 2016 IEEE newsletter has published a product news.

Each chapter ends with 10 fully documented examples/problems. All corresponding Mathcad files are available here. I maintain a list of identified typos here.

There are more than 70 fully solved examples of transfer functions from 1st to 4th order, active and passive. The complete list is here.

The book is announced on these sites. For IEEE members, a 35% discount is available. Information here.

Amazon (France) Wiley (UK) Amazon (Germany) Amazon (US) Amazon (Japan) Amazon (Italy) Amazon (UK)

The French version has arrived! La version francaise est arrivee et est disponible chez Dunod depuis mars 2017. Voici l'avant-propos du livre decrivant son contenu. Amazon distribue le livre.

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**Switch-Mode Power Supplies: SPICE Simulations and Practical Designs,
second edition**
is now completed and the book has been
sent to the printer. It took me a while to clean all typos, errors and bad
drawings that you, readers friends, have been kind enough to report. The final
listing for the 1st edition is posted
here. So,
what do we have in this second edition? Well, some chapters have been expanded,
some simply cleaned up. Here we go for the detailed list:

**Chapter 1**: the complete derivation of all rms currents
in CCM or in DCM for the power switch, the inductor, the diode and the
input/output capacitors is now fully documented. All formulas have been tested
and several Mathcad files will be available on the editor site to let you
calculate these data depending on your design. Not only rms currents are
calculated, but also the various time durations in DCM for instance. Convenient
tables summarize constraints at the end of each subsection.

**Chapter 2**: on top of the classical PWM gain derivation,
a feedforward small-signal block has now been described. The complete small-signal
model of the PWM switch operated in current mode has been added and simulated.
Duty ratio factories have been described to show how you can get the ac response
of a DCM or a CCM current mode converter with a voltage-mode model by adding a
single in-line equation to the existing model. Sub-harmonic instabilities are
not predicted but low-frequency response for both modes perfectly agrees with
that of higher order models. For those interested in small-signal modeling, I
added an appendix in which I derive the ac response of a voltage-mode boost
converter operated in DCM. You will see that despite previous SSA prediction,
DCM converters are still second-order systems whose quality factor is simply
much lower than in CCM.

**Chapter 3**: the compensator section has been expanded
with OTA transfer functions for type 1 and 2. A complete TL431 bipolar-based
model has now been included in this new edition

**Chapter 4**: some new SPICE blocks have been described
and in particular, a corrected D flip-flop which is now more robust to forbidden
input states.

**Chapter 5**: clean-up of the existing section mainly

**Chapter 6**: I have included a complete small-signal
analysis of a BCM PFC stage when operated in current or voltage mode control. I
also added a section letting you predict what the bulk minimum voltage will be
when you have selected a normalized capacitor. This is important to know this
bulk valley voltage as the converter will have to pass 100% of the power while
in this input range.

**Chapter 7**: this chapter now includes a complete
explanation of the over power phenomenon in flyback converters operated in CCM,
DCM or in quasi-resonance (QR). Over power protection or OPP, is an important
part of the flyback design. It is there to compensate the extra output power (hence
current) a flyback converter will deliver when supplied from its highest input
voltage. If no precautions are taken, risks of fire or destruction exist. This
new section explains the origin of this output power runaway and how to
compensate it. Small-signal has not been left aside and a small-signal model of
the QR flyback converter in current mode is presented. A section showing how to
account for the nonlinear variation of the Coss capacitor has been added as well
as a simple laboratory circuit to check for transformer saturation.

**Chapter 8**: the complete transfer function of the
active clamp forward converter operated in voltage mode has been added with step
by step derivation as well as tests a against prototype response. Compensation
details for a 30-A dc-dc are also offered. The coupled inductor small-signal
response has also been revamped thanks to comments from a sharp reader.

There is no CDROM in this new edition, most of the files will now be available on line from the McGraw-Hill site. These files, together with a chapter sample are available through the dedicated landing page, here.

Mr. Jean-Marie Merienne has kindly translated the book's Mathcad files from version 15 to Mathcad Prime. You can download the PDF versions and the working files.

**The book distributors**

Amazon (France) Amazon (US) Amazon (Canada) Amazon (Japan) Amazon (Germany) Amazon (UK)

Amazon (China) Dang-Dang (China)

Comments, feedback and corrections: I keep a correction file in which I compile your findings and comments. The file is here and will be updated when needed.

**Designing Control Loops for Linear and
Switching Power Supplies: a Tutorial Guide** is now available for
sale. This new book took me three years of work, every night. It first started
in 2009, I wanted to write an exhaustive text on how to design compensators for
power supplies. Operational amplifiers (op amps) were first on the list, but I then
realized that there was many other types of active elements that could be used to
perform this function: TL431,
operational transconductance amplifiers (OTA) and shunt regulators like in the
TOPSwitch (Power Integrations) series. If literature abounds on op amps, there are few documents on
TL431, OTAs and TOPSwitches, but all scattered in application notes sometimes
difficult to find. I
have dedicated an entire chapter for each of them, even detailing TL431
internals. Of course, there are non-isolated and isolated versions with an
optocoupler.

Please check the announcement in different languages (English, French, German, Japanese, Mandarin, Simplified Chinese, Korean and Spanish). Thanks to all my friends world-wide for their kind help! (Bernie, Werner, Ken-san, Kelvin, Patrick, W.S. and Juanito)

You can download the Table of Content here.

The book starts to explain loop control theory in a very basic approach, "with the hands" as we say in French. Then, the following chapters go deeper into the theory you need to know as a power supply engineer. There is some mathematical content but there are a lot of examples that show how to put the theory at work. This is a strength of the book to my opinion: it bridges theory that you have learned at school with what you will face in your engineering challenges. For instance, we all learned how to build a compensator with an op amp (I still have my class documents) but how do you apply that knowledge to a TL431, a Transconductance Amplifier or a Shunt Regulator? And what if you add an optocoupler? Throughout the pages, you will learn where phase margin comes from, how to select crossover frequency, how to efficiently compensate a control system and much more! I hope you will enjoy this new work that took me 3 years to write. As usual, almost all the equations were derived by myself with all the steps so that you can follow...and correct me if I am wrong!

**Chapter 1:** this
chapter is an incomplete introduction to control systems. I have tried to gather
the very basic things you need to know about control systems and I introduced
some of the tools you will need in the following chapters. This chapter is for
people who have no notion of control systems at all and want to understand how
such a system works. No complex diagrams or difficult equations, a step-by-step
introduction. Of course, experts reading this chapter will smile but, again,
this brief introduction is not for them, they can jump to chapter 2 immediately
: ) Please note that the entire Chapter 1 is offered for download by Artech on
its
website.

**Chapter 2**:
now we start the discussion about serious stuff. I am showing how to properly
write transfer functions. You will discover that a transfer function can be
derived in different ways. One of them uses brute-force algebra. The result is
analytically correct but when you look at the result, it is almost impossible to
say if there is gain,
if there are poles and zeros and where they are hide. Re-write the same
function the proper way and all these information clearly appear in the equation. Knowing how to write transfer functions this way is
the key to fast
analytical techniques and so-called low-entropy expressions. Learn how to get
the poles and zeros just by looking at the electrical schematic!

**Chapter 3:** in this chapter, I
explain where phase and gain margins come from. At school, I was told that
"you need to have at least 45� of phase margin at crossover" and that was it! I
never had a clue where this number was coming from and how to apply it. Learn
how phase margin is linked to the quality factor of a second-order system. Check
how to read these data on Bode but also on Nyquist plots. Learn what modulus and
delay margins are. Understand the importance of output impedance and the way to
shape it via the right crossover frequency.

**Chapter 4**:
we now enter the world of compensation: how to shape the return path so that my
control system be stable, fast and precise. PID configuration are explored and I
reveal the link between coefficients and poles/zeros placement. Nothing new here,
but this is done step by step so that you can follow the path. A few examples
put the PID at work and show that in some cases where Bode says it will be
stable, the system isn't. Learn why and how to properly compensate your product.

**Chapter 5**:
this chapter covers compensators using operational amplifiers. You will find
type 1, 2 and 3 structures, with and without optocouplers. You have all the
equations, ready to use. I even re-wrote the k factor equations for those
interested in the approach. All derivations steps are detailed and commented.

**C****hapter 6**:
transconductance amplifiers (OTAs) are popular among the IC designers community.
They are easy to design and require less die area than they op amp cousins.
However, the set of equations you have for op amps does not readily apply. I have
re-derived all the design equations in this chapter. Even if you add an
optocoupler, it is covered. Also, I explain why it is difficult to build a type
3 with an OTA and what are its limitations.

**C****hapter 7**:
the TL431 is the most popular elements found in todays power converters. Hosting
a precise reference voltage and an open-collector op amp, it is a remarkably
well-crafted device. Actually, op amp and reference make only one and the
transistors arrangement was made by a genius designer! Check TL431
internals and learn how to use that component to build type 1, 2 and 3
compensators with an optocoupler.

**Chapter 8**:
TOPSwitches from Power Integrations are very popular high-voltage switchers.
Rather than hosting a voltage control input, these devices are sensitive to
injected current as a means to control the duty ratio. Again, previous equations
no longer fit and I have reworked them all for the classical compensator types.

**Chapter 9**:
bench measurements are mandatory when you deal with control systems. It is
important to verify that all hypothesis you made during the design phase lead to
the expected phase and gain margins on the real prototype. And a prototype is a
real piece of hardware, not a Simplis simulation bench, please! In this chapter,
I explain the theory behind closed-loop measurements and where to be careful for
reliable measurements. Then follow 5 design examples, putting theory at work.

**Simulation****
files:**

There is no CDROM with that book but there are available simulation files that correspond to some of the book examples. These examples are simulated with Intusoft IsSpice and their demonstration version will certainly run a few of them. Didier Balocco was kind enough to translate some of these examples in LTSpice. These are beta versions. If you have the time to translate the remaining examples, I will be glad to post them in this webpage.

**Feedback**

Yes, I know it for fact, there will be errors and typos in the 1500 equations I derived in this book. The term derived is correct because I really worked almost all these equations myself. First, because doing so let me identify obstacles that I could teach you how to avoid them when you follow my steps. Second, copy/pasting equations or pulling them out of thin air is not my writing style as an engineer. I apologize in advance if you find errors, mistakes or typos in these mathematical expressions. Given their number and despite the care I put in chasing them, this is unavoidable. Please, let me know where these errors are and I will maintain an errata list (1st print, 2nd print), giving credits to people who found these mistakes. Merci d'avance ! (Thanks in advance).

**The book distributors:**

Amazon (France) Amazon (US) Wallmart (US) Amazon (Canada) Amazon (Japan) Amazon (Germany) Amazon (UK) Barnes & Noble

Amazon (China)

**Artech House**
offers a coupon to let you order the book from them directly with a 20% discount
and free shipping! The flyer is
here.

---------------------------------

If you want to read my interview by EEWeb, please follow this link. I'm sure some of you will recognize the guy in the wall poster : )

---------------------------------

**Switch-Mode Power Supplies: SPICE Simulations and Practical Designs**
was released in 2008. Another book on power electronics you say? Not really. In the technical
literature, you either have books that are purely academicals and offer in-depth analysis of converters, unfortunately without the essential links
to the market reality. You also have purely practical books that pull equations out of
thin air without any theoretical grounds. This book bridges both approaches and
will hopefully please the power electronics student and the design engineer, both
looking for analytical explanations but also for practical solutions when facing
customer demands. This book is really about power supplies designs, with SPICE
as a design companion. It covers dc-dc but also ac-dc converters. By the way,
the ac-dc conversion in offline converters is made by the diodes bridge and the
capacitor, the downstream converter is always a dc-dc, isn't it?

Press release for the book announcement in French, English, German, Mandarin and Japanese!!

(Xie-xie to Patrick Wang and arigato gozaimasu to Iguchi-san!)

The book is now available in simplified Chinese and Korean. Thank you to
Mr **Zhangde Lu**** **
who translated the whole book in a record time! Mr Lu is a
teacher in Shaoxing university in China. The book is available from
Publishing House China and Chinese links are posted below.

The book is organized in eight chapters covering the following subjects:

**Chapter 1:** this chapter starts with the basics of
dc-dc conversion, step by step with linear regulators used to derive
essential formulas such as closed-loop impedances or closed-loop input
rejection. Then the classical buck, boost, buck-boost are analyzed in CCM/DCM
and critical modes until an input filter is added. There, you will discover the effects
of the filter insertion and learn how to compensate the converter while still attenuating the
input noise (95 pages).

**Chapter 2**: small-signal modeling is really an
important topic if you want to be serious about power supply designs. The
chapter starts by showing what State Space Averaging is all about and how
complicated it can be. Then, the PWM switch model is introduced and three new
versions are derived: auto-toggling DCM/CCM voltage-mode and current-mode
models, with sub harmonic prediction in CCM for the later. Of course, these
models are large-signal ones and operate in dc, ac and transient analysis.
Finally, a borderline model is derived, later used in PFC stages. This 100-page
chapter really explains how these models were derived and how to use them for
your studies (146 pages).

**Chapter 3:** loop control is always hard to understand
for some new comers. I've strived to make things look simple, explaining how the
k factor was derived and showing that, sometimes, it is not a panacea. I propose different equations to let you manually select the poles and zeros, crossing over at the
exact desired frequency. Also, in most of the books, only op
amps are used to illustrate compensation. In this book, I derived the transfer
functions of TL431-based type 2 and 3 compensators and I showed how the optocoupler
pole can affect the phase margin (100 pages).

**Chapter 4**: this is where you will learn how to build
your basic subcircuit blocks and how to construct your new models, if necessary.
For instance, how to model the error amp of the UC384X family. Understand the
differences between syntaxes and learn how to write in-line equations. A section
specifically details the derivation of a magnetic model, based on non-linear
junctions. See how to wire generic PWM models in various configurations for the
best simulation speed. Learn how
to extract physical data from a transformer to later pass them to a subcircuit
(66 pages).

**Chapter 5**: in this chapter, we cover the design of
dc-dc converters, the classical structures, in both voltage-mode and current
mode configurations. There are small-signal analysis and transient studies in
all cases The front-end filter section is also analyzed with input ripple
specification targets (84 pages).

**C****hapter 6**: rectifying the sinusoidal mains is a
section common to all ac-dc converters. After all, the diode bridge and the
capacitor are the elements that really perform the ac to dc conversion. The
downstream converter is still a dc-dc, no? This chapter covers the classical
diode bridge configuration then further introduces passive power factor correction, quickly
followed by active power factor correction. The most popular topologies are
covered and there are several design examples. An extensive usage of the average
models is made here, leading to extremely short simulation times (88 pages).

**C****hapter 7**: it is time to describe the isolated
buck-boost also called the flyback converter. This chapter covers a lot of
techniques pertinent to the flyback converter, what is the leakage inductor role,
how it affects the drain voltage excursion and how you can use its presence in
active clamp versions etc. The design section contains useful tricks to limit
the converter power capability at high line for instance or to compensate the
leakage spike on the auxiliary winding. There are three design examples, among which a
multi-output borderline converter using the new BCM average model, also
described in the book (160 pages).

**Chapter 8**: the forward converter is widely used in ATX
power supplies (the so-called silver box) where the 2-switch configuration
excels in 250 to 400-W applications. The chapter explores the various reset
methods and introduces you to multi-output configurations through mag amps, or
synchronous rectifiers. A complete design example is proposed at the end of the
book (129 pages).

**CDROM**: the CDROM found with the book contains some of
the most popular demonstration versions of currently available simulation
softwares. I strived to give away almost all the examples of the book in OrCAD/PSpice
and ICAPS/IsSpice formats. Some of the distributed versions also feature examples
kindly translated by the software editors themselves. This is the case for uCap,
TINA, Multisim, B2 Spice, 5Spice. Other demos include Power 4-5-6, Transim and
TopSpice. I updated the Excel file dedicated to the k-factor to which
TL431-based configurations have been added.

**Distributed libraries:**

I purposely created specific application circuits that are not given away with the book. The library I am separately distributing includes the UC384X (UC3842/UC3843/UC3844/UC3845 SPICE models) precisely modeled and implemented in a lot of application examples. The same applies for Power Factor Correction circuits, ready to go on several platforms. The library and application circuits are available in different formats that are Micro Cap, TINA, OrCAD and IsSpice. You can download an application listing to check what is inside these libraries - also available for TINA and Micro Cap - OrCAD or IsSpice. Please drop me a line to my address: cbasso@wanadoo.fr ("SPICE library" as the subject ) to learn about this package and how to get it. I am currently setting up a distribution network for these files.

I also have participated to the development of a more comprehensive library file with AEi Systems. There are currently more than 200 PWM IC models in this file and you can obtain a detailed quotation and information via this link.

**So what?**

Yes, I know, there is place for more and there are subjects that I did not cover. However, this last book took me three years to finish and I felt I was writing a new never ending story... : ) I therefore kept interesting stuff for a next edition, in a few years from now. For instance, I will show where the phase margin value come from and how to analytically link the crossover frequency and the phase margin to the converter output impedance.

**Feedback**

Please, forgive me in advance in case you find errors, mistakes or typos, despite all the efforts in trapping them, there might still be some left, even further to thorough corrections ran by numerous reviewers. I have maintained a list of collected remarks, with credits to authors that have found them! The corrections file for the first edition is here, compiling all errors and mistakes previously published.

**Reviews**

The US IEEE Power Electronic Society has reviewed my book and published its comments in the PELS April newsletter.

A review from Design/Analysis Consultants, Inc. where the book is recommended!

An excerpt has been published online in Power Management Design line.

The book appears in the "Best Power Supply Design Books" directory in SMPSTech webpage

Dr. Yan-Fei Liu from Queen's University (Canada) published a review in the Canadian section of IEEE.

The book was one of the best sales for technical books at ISSCC Conference 2009. Read this excerpt.

**The book distributors:**

Amazon (France) Amazon (US) Amazon (Canada) Amazon (Japan) Amazon (Germany) Amazon (UK) Barnes & Noble

DangDang (China) Amazon (China) Infibeam (India) FriendsOfBooks (India) Fishpond (New-Zealand) Fishpond (Australia)

There are several reviews you can read in the Amazon US website to learn about the book acceptance by engineers.

**Presentations and papers to download**

A 5th-order transfer function with FACTs, C. Basso: I show in this PPT how to derive the transfer function of a 5th-order filter made of cascaded RC cells. The Mathcad is in the ZIP file.

Over power Protection in the forward converter, C. Basso: this document details how a forward converter can possibly deliver more power at low line than in high-line conditions. The associated Mathcad 15 file is here.

APEC 2019, 3-hour professional seminar held in Anaheim, CA, C. Basso: this seminar describes the modeling of buck converters operated in different control schemes with the four transfer functions of the CCM buck converter presented as examples. SPICE, SIMPLIS and, finally, bench experiments are shown along the examples to confirm theory matches reality. I have purposely built demonstration boards showing how experimental results agree well with the simulations if you properly characterize some of the components. The audience was between 100-150 people and I was really happy to see you all again. Thank you for attending this session and see you next year in New-Orleans!

Switching-Converter Dynamic Analysis with Fast Analytical Techniques, C. Basso: this document is a quick introduction to the fast analytical circuits techniques or FACTs and apply them to a DCM-operated SEPIC. It was published in the IEEE Power Electronics Magazine from September 2017.

APEC 2018, 3-hour professional seminar held in San Antonio, TX, C. Basso: this seminar describes how to obtain the control-to-output transfer function of a converter using small-signal analysis, average model SPICE simulations, SIMPLIS and, finally, bench experiments. I have purposely built demonstration boards showing how experimental results match well with the simulations if you properly characterize some of the components. I used the FACTs to determine the transfer function of the boost converter in voltage-mode control. The audience was between 100-150 people (statistical data here) and I was really happy to see you all again. Thank you for attending this session and see you next year!

FACTs applied to a type-3 compensator, C. Basso: this document details how to derive the transfer function of the type 3 compensator when the open-loop gain AOL is involved. The Mathcad sheet is here.

Current mode simulations with VM-PWM switch, C. Basso: this document shows how you can re-use the original voltage-mode PWM switch model and by adding a simple resonating capacitor, turn it into a current-mode model able to predict sub-harmonic oscillations in CCM with dc and transient capabilities. It uses the models ported to LTSpice by Didier Balocco (see several lines below for download) and builds on experiments kindly done by Mark Dimattina. The LTSpice files are here.

APEC 2017, 3-hour professional seminar held in Tampa, FL, C. Basso: this presentation focuses on interactions between an EMI filter and a switching converter. Fast Analytical Circuits Techniques are at work here and they truly simplify the analysis. I was happy to see some known faces again and hope the new ones enjoyed the show. 108 people were registered for this seminar. The seminar slides are here and the statistic here. Thank you all!

Op amp interaction with Type 2, C. Basso: this Mathcad 15 file shows the impact of the op amp open-loop gain and its two low- and high-frequency poles in a type 2 compensator. It is usually not a problem for low crossover frequencies but as soon as you need gain and phase boost at values at or beyond 10 kHz, the GBW product matters. The PDF is here.

APEC 2016, 3-hour professional seminar held in Long Beach, CA, C. Basso: this presentation introduces you to Fast Analytical Circuits Techniques which let you derive transfer functions in a quick manner and sometimes without writing a single line of algebra. The method is at work with two switching converters, the buck and the buck-boost in voltage mode. The seminar went well and I thank you all in the audience! Statistics of this seminar are here.

Small-signal response of QR flyback with multiple valley switching, C. Basso: this paper studies the dynamic response of a current-mode flyback converter operated in boundary mode and switching in different valleys.

Leakage inductance effects in the flyback converter, C. Basso: this 3-part article originally published in How2Power.com describes how the leakage inductance affects the conversion ratio of a flyback converter by truncating the duty ratio. Power dissipation via the clamping network also damps the control-to-output response as modeled through a new average circuit.

Zeta converter with the PWM switch, C. Basso: this short PPT shows how you can wire the PWM switch model to simulate the control-to-output response of a Zeta converter.

APEC 2015, 3-hour professional seminar held in Charlotte, NC, C. Basso: this presentation capitalizes on what has been discussed during previous seminars and bridges theory with practical results. For instance, what is the impact of an op amp slew-rate and GBW product on phase margin for instance? How to ensure clean start-up sequences on isolated dc-dc converters? These are among the few topics I tackled during the session. Again, thank you all for attending! Statistics about this seminar are here.

Small Signal Modeling of the Boost Converter Operated in CM, C. Basso: this seminar shows how to derive the control-to-output transfer function of the boost converter operated in peak current mode control.

Active Clamp Forward in Current Mode, C. Basso: this short PPT shows the ac simulation results I was able to obtain with my voltage-mode model to which a duty ratio factory was added. Results are not far from what Simplis predicts.

Duty Ratio Factory Modeling in a CCM CM Buck Converter, C. Basso: this presentation shows how to independently model the control voltage Vc to duty ratio D block in a current mode converter. The presentation shows that by using a voltage mode stage to which a separately-modeled Vc-to-D is added, you obtain the complete control-to-output transfer function of the CCM CM buck converter.

APEC 2014, 3-hour professional seminar held in Fort Worth, TX, C. Basso: this presentation shows the PWM switch models at work in various converter structures. Fixed switching frequency in voltage and current mode is described but borderline conduction mode is also demonstrated. This presentation also introduces the small-signal model of the active clamp forward converter operated in voltage mode control. The model is then compared to bench measurements. The audience peaked to 150 people during the show, thank you all for attending! Statistics are here.

Presentation skills, C. Basso: I have been teaching and speaking in front of an audience for a while now. My first speech, which goes back 20 years, was a complete disaster: trembling voice, shaky legs and so on. I made the obvious mistakes untrained people do and with time, I started to improve by learning from professionals. I also took several presentation skills classes (Decker training was excellent) and I improved over years. At least I hope I did : ) For those who need to present, I compiled most of the mistakes you must avoid to make your speech efficient and credible. I have one in French as well.

Small-signal analysis of the fixed current mode variable frequency flyback converter, C. Basso: this presentation teaches you how to derive the transfer function of a flyback converter operated in constant peak current while switching frequency is controlled. This technique is now widely used in converters implementing frequency foldback in light-load conditions.

APEC 2013, 3-hour professional seminar held in Long Beach, CA, C. Basso: this presentation teaches step by step how to derive large and small-signal models of switching converters. The presentation starts by showing how to linearize non-linear equations and then describes models for voltage-mode and current-mode CCM/DCM converters. It extensively makes usage of the PWM switch model. A model of a QR flyback model is also presented. Merci to my friend Chris Warin for kindly taking the below pictures!

Introduction by Mrs Chen, chairman of the conference Agenda of what I am about to present There we go, the audience peaked to 200 people which is very rewarding, thank you all!

Genuine type 2 compensator with the TL431, C. Basso: this short document shows you that a real type 2 built with a TL431 and involving two lanes is not wired as a type 2 with an op amp: a single capacitor is enough across the TL431. Adding an extra RC is useless.

APEC 2012, 3-hour professional seminar held in Orlando, FL, C. Basso: this presentation teaches you some less known aspects of loop control theory applied to switching and linear converters. Things like delay margins, modulus margin or how a PID converts to a type 3 compensator. They were in this new seminar entitled "The Dark Side of Loop Control Theory". The seminar statistics are here.

This is me, together with Franki Poon from the PowerEsim website!

APEC 2011, 3-hour professional seminar held in Fort Worth, TX, C. Basso: this presentation teaches you the untaught aspects of the flyback converter. Things like Over Power Protection (OPP) or Quasi-Resonant small-signal compensation are rarely included in seminars. They were in this one, entitled "The Dark Side of Flyback Converters".

These are the covered subjects in the 3-hour time. The RHPZ presence in both CCM and DCM was explained to the students.

Calculating the bulk capacitor parameters in an offline converter, C. Basso: this paper updates the current book content by improving the formulas used to derive the bulk capacitor value in a front-end rectifying section. Nothing spectacular here but I realized that these results could help the design community to calculate the right value.

APEC 2010, 3-hour professional seminar held in Palm Springs, CA, C. Basso: this presentation teaches you how to design compensators based on TL431, op amps or OTAs. This seminar associated with that of 2009 represent the subject of my new book on loop control.

This is me, teaching how to derive the full analysis equations for a type 2 compensator with an op amp. There were more than 100 students in the room.

An average
model for the phase shifted converter, C. Basso:
this document shows how I built an auto-toggling average model for the phase
shifted converter. The model exists in *IsSpice* but also in *PSpice*. Both average
and generic cycle-by-cycle models are available in ready-to-use templates
describing a 12-V/25-A power converter. They are part of the distributed library
files.

APEC 2009, 3-hour professional seminar held in Washington DC, C. Basso: this presentation teaches you where phase margin and crossover frequency come from and guides through the stabilization process of a dc-dc converter.

I am on the left, on the ON Semiconductor booth at APEC 2009. The other fellow is my friend Larry Jenck.

Dealing with low-current optocouplers, C. Basso: this is an article I wrote in 2009 that describes how an optocoupler works and why you should always characterize its inherent pole. A method is offered to extract it quickly through a simple test fixture.

The TL431 in loop control, C. Basso: the TL431 is never studied as a part of the compensator in control theory books. However, this is a market reality, op amps are rarely used! Go through this new series of articles and learn how the TL431 works and how you can use it in a variety of configurations.

Selecting the cross-over frequency in relationship to the converter output impedance, C. Basso: this paper teaches how the cross-over frequency affects the output impedance of the converter you want to stabilize.

The link between the open-loop phase margin and the closed-loop quality coefficient , C. Basso: this paper explains the relationship between the open-loop phase margin you select and the resulting transient response you can obtain.

The PWM switch operated in Borderline Conduction, current-mode, C. Basso: this paper shows how to get the small-signal model of a flyback converter operated in the so-called quasi-resonant mode.

The RHPZ, a two-way control path, C. Basso: the Right-Half-Plane-Zero plagues the flyback or the boost converters operated in CCM. This paper explores the origins of the RHPZ.

Stability Analysis in multiple loop systems, S. Conseil, N. Cyr, C. Basso: a TL431 combines a fast and a slow lane. How to measure the total loop gain combining both lanes is the object of this paper.

"The PWM switch in transitioning models": this document was presented in PCIM 2005 and covers the history of SPICE models.

"The PWM switch concept...", PCIM 2005: this is the paper published in the PCIM proceedings.

"Quasi-Resonant SPICE model eases loop design", PCIM 2003: this model uses CoPEC approach to model a QR controller. There are two associated models, in PSpice and IsSpice.

"the forward converter small-signal gains": a short PowerPoint which shows how my new models match calculations in both VM and CM for a forward converter.

**New models to download**

*
PWM Switch LTspice*: Mark
Dimattina offers a way to implement the PWM CM version in LTspice. Thank you for
sharing your models Mark. The documentation is
here.

*
PWM Switch LTspice*:
Byron Rogers kindly shares his PWM Switch model also intended to be simulated in
LTspice.

*
TL431 models discussion*: an interesting discussion on the TL431 and the
performance of several available models.

*New
LTspice models*: Didier Balocco has come up with a new series of LTspice circuits implementing the PWM Switch model in voltage and current modes.
There are plenty of examples plus a quick installation guide. The files are
here. Merci Didier !

*LTspice models*: Charles Denton has been kind enough to
translate the PWM switch models in LTspice. Yes, it is obvious, you need a good book to understand how to use
them... ;-)

It has been reported that parameter "K" could be mixed by LTspice with the Boltzman constant. To avoid this, please change "K" into "Kf" and it should work. Kindly pointed out by Dennis in March 2015.

*
VerilogA models*: the PWM switch model working in
VerilogA, nicely translated by Nico Cyr from ON Semi.

*
VerilogA models*: the PWM switch model working in
VerilogA, a new model contributed by Rainer Krenzke from Dialog Semiconductor.

*
Flyback
current-mode automated calculation spreadsheet*: this is a new automated
software which calculates the TL431 elements to stabilize of a flyback converter
operated in peak current mode control. The software includes mode transition,
sub harmonic poles and optocoupler pole contribution. Check it out!

**Switch Mode Power Supply Cookbook -
download files**

Sam Ben-Yaakov models are based on the Switched Inductor Model (SIM) concept as described by many publications at: http://www.ee.bgu.ac.il/~pel. The models offered are averaged models adapted in a .SUBCKT form and let you simulate the following topologies: BUCK, BOOST, BUCK-BOOST/FLYBACK, FORWARD, SEPIC in both Current-Mode (CM) and Voltage-Mode (VM) versions. As averaged models, they find their dc point alone and allow AC and TRANsient simulations. Please note that CM models do not predict subharmonic oscillations at Fsw/2 (PSpice, IsSpice). | |

Ridley models are ac models only
(PSpice,
IsSpice). They can't compute their
dc point alone and are therefore dedicated to
ac simulations only. They correspond to an adaptation
of original SPICE2 scripts where complex parameters needed to be calculated by the user.
These models naturally shield you against these drawbacks and let you simulate the same
topologies as above in a snap-shot. They nicely predict F | |

Sam Ben-Yaakov presented
during PCIM 2001 some extensions to his original GSIM models. These new
models now include various losses such as inductor ohmic losses, switch
r | |

Robert Erickson and Dragan Maksimovic, from CoPEC, have included a simulation portion in the latest edition of their book, "Fundamentals of Power Electronics". These models were first presented during PESC 1999. I have adapted CCM-DCM1 and CCM-DCM2 to IsSpice4 because original versions were only PSpice compatible. The library contains the above models and a few zipped ready-to-use examples can be downloaded in ICAP/4 8.1 version (Flyback, Buck and Boost in voltage-mode only). |

**SPICE editors links**

Intusoft - OrCAD - TINA - PSIM - Simplis - Multisim - MicroCap - TopSpice - 5Spice - Beigebag - NL5

**SPICE sites and power supply sites:**

YouSPICE : a community for electronic design and simulation.

EE Web : an electronics forum where technical people answer technical questions.

PowerEsim : if you want to design your power supply online, this is the link to follow.

How2Power : a site maintained by David Morrison, former PET editor, which deals with power electronics

About SPICE.com: a site dedicated to SPICE users worldwide with news etc.

LTSpice group users: the user group of Linear Technology free SPICE simulator, LTSpice

AEi Systems: a consulting engineering firm on SPICE modeling and worse case analysis

Design/Analysis Consultants: a consulting firm specialized in worst-case analysis and design robustness

**Power Electronics links with
papers to download**

Texas-Instruments / Unitrode Seminars

Delta Electronics Triangle Park

Dr Middlebrook documents related to his Design-Oriented Analysis course

Queens Power Group Publications

My first book, "Le Bus IEEE-488 : principes et mise en oeuvre" is written in French and was dedicated to the IEEE-488 bus, an electrical bus that hooks instruments to an acquisition system, e.g. a PC workstation etc. The book describes the philosophy that lead Hewlett-Packard to originally develop this bus, and includes the description of various PC interfaces, including HP, National-Instruments, IOTech etc. Software examples let you quickly start developing your own acquisition programs. | |

My second book, "Switch Mode Power Supply SPICE Cookbook" was released in 2001 and is now out of print. McGraw-Hill has released an ebook version that you can still check on Amazon. |

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