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IMPORTANT NOTE: This is the historical archive of older Magic
sinewave info. It is primarily a repository of early development work
that preserves the time line of Magic Sinewave original innovations.

Current Magic Sinewave info is found here.

In particular, many of the older calculators are slow and less accurate
than the latest versions.
But we do want to keep them here as a record
of the IP audit history of the original magic sinewave development.

 
       Click here to go to the main
       Magic Sinewave Library!

               NEW: Ultra Fast Magic Sinewave Calculators!

The older info archive begins here...

"Magic sinewaves" are repeating long sequences of ones and zeros.
They can get created from ordinary but extremely carefully chosen
digitally switched pulses.

Digital sinewaves with precisely controlled amplitudes and amazingly
low distortions. Compared to traditional PWM, magic sinewaves can
offer far higher efficiencies and lower distortions. With circuitry that
is elegantly simple and microcontroller friendly.

For use in such applications as induction motor speed controls, electric
autos, solar panels, power factor correction, inverters, home energy
efficiency improvers, 400 Hz avionics, UPS, PFC, and special utilities.

The newest steplocked versions of magic sinewaves let you force any
desired number of low harmonics precisely to zero, while allowing you
to do so at the highest possible efficiency. By using the fewest possible
switching events.

Only recently have specialized analysis and synthesis tools become
available. Don Lancaster, Synergetics, and several Synergetics
Partners
are now in the forefront of this billion dollar opportunity.

Extensive seminars, consulting, sourcecode, tutorials, licensing, CD
ROM's, and a Development Program are newly being offered.

Most library files require an Adobe Acrobat 4.0 plug in for online
viewing.  Offline, these may be accessed by an Acrobat Reader or
an eBook Reader or any other .PDF accepting program.


     Demo Chips Now Available!

 

  Intros and Development Proposal: .
 top   bot 

   Magic Sinewave Summary MSINEXEC.PDF #65
     An "executive summary" on magic sinewaves that gathers together
     the key featuers and development history from several earlier
     files. Magic sinewaves offer efficiency and power quality advantages.

Click here for the Magic Sinewave library.
Click here for a Magic Sineave
intro tutorial.

Click here for the GuruGram 65 source code.
Click here to Contact the Author
directly.

   Introduction to Magic Sinewaves MSINTRO1.PDF
     "Slideshow" style introductory presentation covers the fundamentals
     of the new magic sinewave technology. Unique benefits include
     highest possible efficiency combined with fewest low harmonics.

Click for the MSINTRO1.PSL sourcecode.
Click for a
Magic Sinewave development proposal.
Click for Magic Sinewave Spectral Analysis
hints.

   Three Phase Magic Sinewaves DELTAMS1.PDF
     "Slideshow" style introductory presentation covers modifications
      made to magic sinewaves to make them fully three phase compatible.

      Includes unique "wrap map" synthesis procedure.  

Click for the DELTAMS1.PSL sourcecode.
Click for a
Magic Sinewave development proposal.

   Ultra Fast MagSine Calculator FASTMSSOL.ASP #73
     The very first in a new series of ultra fast and nearly deterministic
     Magic sinewave calculators. These are hundreds to thousands of
     times faster and more convenient than before. Tutorial review.

Click here for the Ultra Fast MS Calculator.
Click here for the Angle Position Plots
.

Click here for a Magic Sinewave tutorial.
Click here for a Magic Sinewave
slide show.
Click here for a Magic Sinewave
proposal.

Click here for the GuruGram 73
source code.
Click here to Contact the Author
directly.

   Improved Magic Sinewave Chip NUMSCHIP.PDF #38
     Combined data sheet and application note for a second and improved
     Magic Sinewave demo/evaluation chip. This MSD28D-05X combinesl
     3-phase zeroing of harmonics 2-22
with improved inputs and sync.

Click here for the Magic Sinewave library.
Click here for a Magic Sinewave intro.
Click for a 3-phase Magic Sinewave tutorial.
Click for a Magic Sinewave development proposal.

Click here to Order MSD28-05X chips & source code.
Click here for the NUMSCHIP.PSL source code.
Click here for additional Consulting services.
Click here to Contact the Author
directly.

   Steplocked Magic Sinewave Synthesis STEPSYNT.PDF 
 
    A tutorial on the properties and synthesis of Steplocked Magic
     Sinewaves Fundamentals. A first look. Cheby to the Leby. Steplock
     synthesis. Becoming Delta Friendly. For More Help.

Click for a Magic Sinewave development proposal.

   Magic Sinewave Visualizations VISMAGSN.PDF #24
     Delay and width versus amplitude plots of the two most useful
     magic sinewaves reveal that 8-bit data storage can be adequate when
     used with care and that only five bytes need stored per amplitude.

Click here for the Magic Sinewave library.
Click here for a Magic Sinweave
intro.
Click for a
Magic Sinewave development proposal.
Click here for the
VISMAGSN.PSL source code.

   Magic Sinewave Quantization MSQUANT.PDF #27
     Do accurate predictions of the exact changes in Magic Sinewave
     distortion and jitter caused by 8-bit quantization for a selected
     clock frequency. Includes tutorial and links to useful utilities.

Click for the Magic Sinewave Quantization utility.
Click for the Quantization utility output log data
.
Click for the Quantization utility PDF plots
.

Click here for the GuruGram library.
Click herefor a Magic Sinweave
intro.
Click for a
Magic Sinewave development proposal.
Click here for the
MSQUANT.PSL source code.

   The Saga of the Dripping Stalactites STALAC.PDF #35
      Celebrating the beauty of applied mathematics, first through a catalog
      of our more obscure "fun with long strings of numbers" topics and
      then by way of the Magic Sinewave timeline history.

Click here to reach the Math Stuff library.
Click here for a Magic Sinewave intro.
Click for a Magic Sinewave development proposal.
Click here to Order MSD-28X chips & source code.

   Summary & Development Proposal  MSINPROP.PDF 
 
    Basic properties, intro, and features of Steplocked Magic Sinewaves
    
Guidelines on where to start. Seminars. Development opportunities.
     Consulting services. Reference designs. Useful links.
  Sourcecode and Evaluation Chips: .
 top   bot 

PIC-Based evaluation chips for Best Efficiency 28, Delta Friendly
28, and Delta Friendly 44 should shortly be available in both the
constant amplitude and constant power versions.

A revised and improved Delta 28 is now shipping! Please email me
for current status on others.

   Improved Magic Sinewave Chip NUMSCHIP.PDF #38
     Combined data sheet and application note for a second and improved
     Magic Sinewave demo/evaluation chip. This MSD28D-05X combines
     3-phase zeroing of harmonics 2-22
with improved inputs and sync.

Click here to Order MSD28-05X chips & source code.

   Delta-28 PIC Simulator Sourcecode MSD28A.ASM 
 
    Partially populated sourcecode for a 16F628A simulator lets you
     generate magic sinewaves and explore interface. Limited older
     and "free" version of code is neither fully debugged nor optimized.

Click here for the .HEX opcode version.
Click here for the .LST
printable version.
Click for a recommended
PIC Simulator.

   MagSine PIC Programming Guide MSPICPRO.PDF #40
     Tutorial guidelines for writing PIC based sourcecode for Magic
     Sinewaves. Why PIC? Getting started. Tools. First Principles. A
     precision time delay. Delay expansion. Updating. Synchronization,...

Click here for the Magic Sinewave library.
Click here for a Magic Sinewave intro.
Click for a 3-phase Magic Sinewave tutorial.
Click for a Magic Sinewave development proposal.

Click here to Order MSD28-05X chips & source code.
Click here for the MSPICPRO.PSL source code.
Click here for additional Consulting services.
Click here to Contact the Author
directly.

  Tutorials & Reference: .
 top   bot 
   Steplocked Magic Sinewave Synthesis STEPSYNT.PDF 
 
    A tutorial on the properties and synthesis of Steplocked Magic
     Sinewaves Fundamentals. A first look. Cheby to the Leby. Steplock
     synthesis. Becoming Delta Friendly. For More Help.
   Blatant Opportunist #61  STEPLOCK.PDF 
 
    A tutorial on Steplocked Magic Sinewaves for power electronics.
     
Secrets of steplocking. Analysis & Synthesis. Getting fancy. Carrier
     
suppression. Constant power. Delta Friendly secrets.
   Intro Steplock Apnote  IDES01.PDF 
 
    Brief trade journal submission summarizes steplock magic
     sinewaves and shows waveforms for a best efficiency steplock-28
     and a delta friendly steplock-28 of amplitude 0.53. With links.
   Formal Steplock Math Solution  CHEBSTEP.PDF 
     
Steplocked magic sinewaves can be formally defined by using an
    astoundingly and elegantly simple array of Chebyshev Polynominals.
    Here is a "real math" summary example of Don's method. .
   Sequence to Delta Pattern Converter  DELTAPAT.PSL 
     
Shows how to get from a single delta friendly magic sinewave
      sequence to the actual three phase drive waveforms. Read & modify
      PS code in editor; send to Distiller. View PDF and log file results.

Click here for the DELTAPAT.PDF demo

   Magic Sinewave Spectrum Analysis SIGVIEW.PDF #34
      The SigView shareware looks like it should be exceptionally useful
      for analyzing both virtual and real world Magic Sinewaves. Brief
      note shows some key sampling workarounds and access secrets.

Click to reach the SigView website
Click here for a Magic Sinewave intro.
Click for a Magic Sinewave development proposal.
Click here to Order MSD-28X chips & source code.

   Magic Sinewave Distortion Note MINDIST1.PDF #19
     Three simple workarounds show how to allow 8-bit magic sinewave
     table lookup data
while still preserving very low distortion. The
     techniques include accumulation, offsetting , and scaling.

Click for a delta Delay-vs-amplitude plot.
Click for delta Delay-vs-amplitude sourcecode.

Click for best efficiency Delay-vs-amplitude plot.
Click for best efficiency Delay-vs-amplitude sourcecode.

Click here for the Magic Sinewave library.
Click herefor a Magic Sinweave
intro.
Click for a
Magic Sinewave development proposal.
Click here for the
MINDIST1.PSL source code.

   Magic Sinewave Harmonic Spectra SPECD28.PDF 
 
    Example of the unfiltered spectra of a typical magic sinewave.
     Shows how all low harmonics are zero and how remaining energy is
     forced high in frequency. Specific to a MS28NDX Magic Sinewave.

Click here for Harmonic Spectra sourcecode.

   Magic Sinewave Fourier Checkplot PLOTD28.PDF 
 
    Verifies that magic sinewave calculations do create the waveforms
     described by their Fourier Series calculations
. This example
      is specific to a MS28NDX Magic Sinewave.

Click here for additional Magic Sinewave help.
Click for a Magic Sinewwave Development Proposal.
Click here for custom InfoPack consulting services

   Two Phase Magic Sinewaves MAGS2PH1.PDF #63
     Abrief note that explores two phase magic sinewaves as might be
     useful for motor controls and I-Q modulation schemes. Two chip
     solutions appear much cleaner and simpler than single chip ones.

Click here for the GuruGram library.
Click here for a Magic Sinewave
intro tutorial.

Click here for the GuruGram 63 source code.
Click here to Contact the Author
directly.

   Reduce Table Lookup Sizes with  QUADINT.PDF 
     
Brief apnote shows how to use quadrature interpolation to greatly
      reduce magic sinewave table lookup file sizes. Additional details are
      found in MUSE153.PDF .
   Tech Musings #90  MUSE90.PDF 
     
Fourier Series analysis tutorial, alternatives to plated through holes,
     classic computer resources, a $200 GPS receiver, Newtek's new video
     toaster for Windows. .
   Tech Musings #151  MUSE151.PDF (july 2001)
      Radio Shack Wireless Humidity Data Format. Exergy and energy
      quality. JavaScript Bouncy Buttons. Chebycheff polynomonial
      intro & tutorial. Fluxgate & magnetometry books. More...

  Steplocked Magic Sinewave Calculators: .
 top   bot 

Latest Ultra-Fast Calculators:

In Spring of 2007, a new series of stunningly improved and
ultra fast Magic Sinewave calculators were introduced. These
are quasi to fully determininistic, are hundreds to thousands
of times faster than the earlier calculators, and offer a number
of other major user advantages.

   Ultra Fast MagSine Calculator FASTMSSOL.ASP #73
     The very first in a new series of ultra fast and nearly deterministic
     Magic sinewave calculators. These are hundreds to thousands of
     times faster and more convenient than before. Tutorial review.

Click here for the Ultra Fast MS Calculator.
Click here for the Angle Position Plots
.

Click here for the Magic Sinewave library.
Click here for a Magic Sinewave
tutorial.
Click here for a Magic Sinewave
slide show.
Click here for a Magic Sinewave
proposal.

Click here for the GuruGram 73
source code.
Click here to Contact the Author
directly.

Additional ultra fast calculators of different options and pulses per quadrant
will be added when and as funded. Your support is welcome.

Older Calculator User Guidelines:

    Calculator user guidelines QCALCUSE.TXT 
     
Brief temporary apnote shows how to use the new "Q" series
     of steplocked magic sinewave JavaScript calculators.

 

                   An older family of Javascript magic sinewave calculators once appeared here
                   but the horribly obsolete files apparently had been "lost" and links have been
                  deactivated to prevent 404 errors. Entries have been preserved for a historical
                  development timeline and IP continuity record.

Series "V" Delta Friendly Calculators:

The latest "N" series JavaScript magic sinewave calculators are still
preliminary and might contain errors or lack optimizations.

New to these sequences are partial differential evaluations. This can
be much faster for high pulse magic sinewaves since the key calculation
complexity grows as the square rather than the cube of the number of
pulses. With partial differential evaluations, only ~changes~ rather than
entire recalculations are made.

High pulse count magic sinewaves offer some intriguing properties:
They still should be more efficient than PWM, owing to fewer edges
and single versus double switch flips. They can eliminate any audio
whine possibilities. They can allow extreme motor speed ranges. They
might permit resonant trapping or other alternate filtering options.

A new class of Magic Sinewaves called "Near Best" is newly included.

A "Near Best" solution allows the highest controlled harmonic to
assume a (usually) "small" rather than non-zero value. Since the first
uncontrolled harmonic has to be strongly filtered anyway, the last
controlled one will often not make a significant difference.

The advantages of "Near Best" magic sinewaves are that they often
calculate ridiculously faster and that they seem to be the first to hint at
a useful direct closed form solution or near solution. While offering no
significant penalty in higher pulse apps.

As before, the Steplock28N magic sinewaves remain the "best" for
a wide range of applications. Always start with these.

These calculators, while enormously difficult to create otherwise, can
be generated in a few seconds by my custom PostScript code creation
routines. You can c
lick here for further design assistance.

Series "IV" Delta Friendly Calculators:

Series "II" Magic Sinewave Calculators:

Series "II" Magic Sinewave Calculators:

.
            Also view the DELTAPAT.PDF demo.

Older Calculator & Analysis Generators:

   PostScript delta patttern plotter DPAT44.PSL 
     
Makes graphical plots of delta friendly waveforms and includes
      tutorial and algorithms on actual delta sequences.

Click here to view the DPAT44.PDF demo

  Rogue's Gallery: .
 top   bot 

Every once in a while, a lone magic sinewave will crop up with
highly unusual properties. Typically one fixed amplitude with
unusually high efficiency.

Here is one of the more unique findings to date...

   Single Value Magic Sinewave  ROGUE01.BMP 
 
    Unusual steplock-16 zeros its first pulse to become a steplock-12
     that is fully delta friendly and exceptionally efficient. First non-zero
     harmonic is the 13th at under half amplitude. Approx 0.89 amplitude.
  Archived Magic Sinewave Catalogs: .
 top   bot 

This is an older set of catalogs as used during the steplocked
magic sinewave "discovery phase". Only 32-bit math was used
at the time, so some listed values are not quite optimized.

Use the above JavaScript calculators or our custom design services
to pick up the 64-bit math exact values or to explore other options.

  
    Magic  Sinewave  File  Naming  Conventions 
  
 
   First Letter 

   Second Letter

   Third Letter
. 

   Fourth Letter
. 

   Fifth Letter
. 

   Sixth Letter
. 

   Numerals
.

   Slash
. 

 
  "M" as in magic sinewave 

  "S" as in steplocked.

  "A"  for amplitude increments ~or~
  "P"  for power increments.

  "N"  for normal sequence ~or~
  "E"  for enhanced carrier suppression.

  "D"  for 3-phase delta friendly ~or~
  "X"  if not delta friendly.

  "C"  for 100 steps in catalog ~or~
  "B"  for 256 steps in catalog.

  Pulses per cycle .

  First number is current amplitude.
  Second number is available amplitudes. 
  


Steplock 8:

Steplock 10:

Steplock 12:

Steplock 14:

   Normal 3.5 Pulse Magic Sinewave  MSANXC14.PDF  
 
  Has 3.5 pulses per quadrant. First 12 harmonics are zero. First strong
   harmonics are 13 and 15. 100 constant amplitude steps. 14 pulses per
   cycle with 28 transitions.
   Enhanced 3.5 Pulse Magic Sinewave  MSAEXC14.PDF 
 
  Has 3.5 pulses per quadrant. First 14 harmonics are zero. First strong
   harmonics are 15 and 17. 100 constant amplitude steps. 14 pulses per
   cycle with 28 transitions.

Steplock 16:

   Normal 4 Pulse Magic Sinewave  MSANXC16.PDF 
 
  Has 4 pulses per quadrant. First 14 harmonics are zero. First strong
   harmonics are 13 and 15. 100 constant amplitude steps. 16 pulses per
   cycle with 32 transitions.
   Enhanced 4 Pulse Magic Sinewave  MSAEXC16.PDF 
 
  Has 4 pulses per quadrant. First 16 harmonics are zero. First strong
   harmonics are 13 and 15. 100 constant amplitude steps. 16 pulses per
   cycle with 32 transitions.

Steplock 18:

Steplock 20:

   Normal 5 Pulse Magic Sinewave  MSANXC20.PDF 
 
  Has 5 pulses per quadrant. First 18 harmonics are zero. First strong
   harmonics are 19 and 21. 100 constant amplitude steps.20 pulses per
   cycle with 40 transitions.
   Enhanced 5 Pulse Magic Sinewave  MSAEXC20.PDF 
 
  Has 5 pulses per quadrant. First 20 harmonics are zero. First strong
   harmonics are 21 and 23. 100 constant amplitude steps. 20 pulses per
   cycle with 40 transitions.

Steplock 22:

Steplock 24:

   Normal 6 Pulse Magic Sinewave  MSANXC24.PDF 
 
  Has 6 pulses per quadrant. First 22 harmonics are zero. First strong
   harmonics are 23 and 25. 100 constant amplitude steps. 24 pulses per
   cycle with 48 transitions.
   Power 6 Pulse Magic Sinewave  MSPEXC24.PDF 
 
  Has 6 pulses per quadrant. First 22 harmonics are zero. First strong
   harmonics are 23 and 25. 100 constant amplitude steps. 24 pulses per
   cycle with 48 transitions.
   Enhanced 6 Pulse Magic Sinewave  MSAEXC24.PDF 
 
  Has 6 pulses per quadrant. First 24 harmonics are zero. First strong
   harmonics are 25 and27. 100 constant amplitude steps. 24 pulses per
   cycle with 48 transitions.

Steplock 26:

Steplock 28:

   Delta 7 Pulse Magic Sinewave  MSANDC28.PDF 
 
  Has 7 pulses per quadrant. First 22 harmonics are zero. First strong
   harmonics are 23 and 25. 100 constant amplitude steps. 28 pulses per
   cycle with 56 transitions.

Steplock 30:

Steplock 32:

   Normal 8 Pulse Magic Sinewave  MSANXC32.PDF 
 
  Has 8 pulses per quadrant. First 16 harmonics are zero. First strong
   harmonics are 13 and 15. 100 constant amplitude steps. 32 pulses per
   cycle with 48 transitions.
   Delta 8 Pulse Magic Sinewave  MSANDC32.PDF 
 
  Has 8 pulses per quadrant. First24 harmonics are zero. First strong
   harmonics are 25 and 29. 100 constant amplitude steps. 32 pulses per
   cycle with 64 transitions.

Steplock 34:

Steplock 36:

   Normal 9 Pulse Magic Sinewave  MSANXC36.PDF 
 
  Has 9 pulses per quadrant. First 34 harmonics are zero. First strong
   harmonics are 35 and 37. 100 constant amplitude steps. 36 pulses per
   cycle with 72 transitions.
   Enhanced 9 Pulse Magic Sinewave  MSAEXC36.PDF 
 
  Has 9 pulses per quadrant. First 36 harmonics are zero. First strong
   harmonics are 37 and 39. 100 constant amplitude steps. 36 pulses per
   cycle with 72 transitions.

Steplock 38:

Steplock 40:

Steplock 42:

Steplock 44:

Steplock 46:

Steplock 48:

Steplock 50:

  Archival Files: .
 top   bot 

.

Steplocking was a revolutionary breakthrough in magic sinewave
technology that largely replaced decades of previous effort. These
"the way things were" files are kept here largely for IP purposes,
to establish prior art, and to act as a historical record.
 

   Blatant Opportunist #35  MAGSINE.PDF  
    
 Magic sinewaves are a brand new method of driving ac induction
     motors, solar panels, inverters, or electric cars. Offering outstanding
     simplicity and efficiency. Introductory Don Lancaster tutorial.
   The Quest for Magic Sinewaves  SINEQUEST.PDF  
   
Magic sinewave intro & tutorial. Benefits of magic sinewaves.
   Shorter solutions. Forcing zero harmonics. Needles in haystacks.
   High efficiency and low distortion results. Improving low amplitudes.
   Main demo sampler of 768-Bit Magic Sinewaves  
   
A detailed analysis of a few of the 768-bit "delta Friendly" magic
   sinewaves. This "main sequence" selection is a good tradeoff
   between distortion and efficiency.
   Lowdist demo sampler of 768-Bit Magic Sinewaves  
   
A detailed analysis of a few of the 768-bit "delta Friendly" magic
   sinewaves. This selection has been
optimized for maximum efficiency,
   
but requires second order filtering.
   Demo sampler of 384-Bit Magic Sinewaves  
  
A detailed analysis of a few of the 384-bit "delta Friendly"
      
magic sinewaves. This selection has been optimized for
     
maximum efficiency, but requires second order filtering.
   Blatant Opportunist #37 EMERGOP4.PDF  
      Fourth annual release of emerging technical opportunities.
      Push me pull you. The TeraHertz mystery band. PIC microcontollers.
      Magic Sinewaves. Solitons. DNA computing. Binary chain codes.
   Bionomial Goes Binary ONESWORD.HTML  
   
A PostScript utility to generate all possible binary words of length
   "n" having "k" ones in them. Use for magic sinewaves and
   exploration of the binomial theorm. Requires two way recordable com.
   An analysis of Magic Sinewave Higher Harmonics  
     A
nalysis of Magic Sinewave Higher Harmonics. Where do the square
     corners come from on low harmonic waveforms? Jim Fitzsimons analyzes
     
the first 999 (!) harmonics of five 384 bit non-delta magic sinewaves.
   Demo sampler of 288-Bit Magic Sinewaves  
      
A detailed analysis of a few of the 288-bit "delta Friendly"
      magic sinewaves. There are 49 amplitudes in the complete 288
      sequence, having distortions as low as 0.01 percent.
   Tech Musings #101 MUSE101.PDF  
      Using Delta-Wye transforms, Professional audio resources,
       
Acrobat amber beta software, Building your own Tesla coil,
       
Three phase magic sinewaves, more.
   Tech Musings #93 MUSE93.PDF  
       More on magic sinewaves, stepper motor driver chips, yet
       another patent horror story, mid range Mench computer, a
       
collection of PCMCIA plug-in card resources.
   Hardware Hacker #87 HACK87.PDF  
      
AC motor drive fundamentals. New Basic Stamps from Parallax.
     
PIC Microcomputer resources. Additional details on forced zero
      
magic sinewaves. Dealing with "too good to be true" results.
   Hardware Hacker #86 HACK86.PDF  
      
The DNA computer language. Some wavelet book resources.
       Magic digital sinewave codes. Engineering economics review.
       Hot new fringe FM RBDS tuner.

And this initial steplocked hardware was upgraded into NUMSCHIP.PDF ...

   Magic Sinewave Demo Hardware! MSCHIPS.PDF #33
     Combined data sheet and application note for the very first available
     Magic Sinewave demo/evaluation chips. This MSD28D-04X offers full
     3-phase compatibility + best efficiency zeroing of harmonics 2-22.

Click here for the GuruGram library.
Click here to Order MSD-28X chips & source code.
Click here for the MSCHIPS.PSL source code.

  For Further Assistance: .
 top   bot 

.

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