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Don
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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.
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: | . |
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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.
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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.
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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.
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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.
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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.
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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 the STEPSYNT.PSL sourcecode.
Click for a Magic Sinewave development proposal.
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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.
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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.
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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.
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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. |
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| Sourcecode and Evaluation Chips: | . |
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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.
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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.
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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.
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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: | . |
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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. |
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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. |
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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. |
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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. . |
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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
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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.
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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.
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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.
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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
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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.
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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 . |
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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. . |
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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: | . |
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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.
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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:
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Calculator user guidelines QCALCUSE.TXT Brief temporary apnote shows how to use the new "Q" series of steplocked magic sinewave JavaScript calculators. |
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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 click here for further design assistance.
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JavaScript Steplock 28N Magic Sinewave Calculator Use for 7 pulses per quadrant, 28 pulses per cycle. Includes "BEST" delta friendly 3-2-2 zeroing out harmonics 2-22 |
Click here for the Fast Differential Delta version.
Click here for the Extended Harmonic Analysis version.
Click here for a Fourier 28NDX Delta 0.53
.
Click here for Sourcecode and Pattern avaibility.
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JavaScript Steplock 172N Magic Sinewave Calculator Use for 43 pulses per quadrant, 172 pulses per cycle. Includes extended delta friendly 21-11-11 zeroing harmonics 2-130. |
Click here for Sourcecode and Pattern availibility.
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JavaScript Steplock 268N Magic Sinewave Calculator Use for 67 pulses per quadrant, 268 pulses per cycle. Includes extended delta friendly 33-17-17 zeroing harmonics 2-202. |
Click here for Sourcecode and Pattern availibility.
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JavaScript Steplock 348N Magic Sinewave Calculator Use for 87 pulses per quadrant, 348 pulses per cycle. Includes extended delta friendly 43-22-22 zeroing harmonics 2-262. |
Click here for the Fast Differential Delta version.
Click here for Sourcecode and Pattern availibility.
Series "IV" Delta Friendly Calculators:
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JavaScript Steplock 28R Magic Sinewave Calculator Use for 7 pulses per quadrant, 28 pulses per cycle. Includes "BEST" delta friendly 3-2-2 zeroing out harmonics 2-22 |
Click here for Sourcecode and Pattern avaibility.
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JavaScript Steplock 172R Magic Sinewave Calculator Use for 43 pulses per quadrant, 172 pulses per cycle. Includes extended delta friendly 21-11-11 zeroing harmonics 2-130. |
Click here for Sourcecode and Pattern avaibility.
Series "III" Delta Friendly Calculators:
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JavaScript Steplock 12Q Magic Sinewave Calculator Use for 3 pulses per quadrant, 12 pulses per cycle. Includes wimpy delta friendly 111 zeroing harmonics 2-10. |
Click here for the MSCAL12Q.PSL sourcecode.
Click here for the DPAT12.PDF demo.
Also view the DPAT12.PSL pattern algorithms.
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JavaScript Steplock 28Q Magic Sinewave Calculator Use for 7 pulses per quadrant, 28 pulses per cycle. Includes "best" general use delta friendly 322 zeroing harmonics 2-22. |
Click here for the MSCAL28Q.PSL sourcecode.
Click here for the DPAT28.PDF demo.
Also view the DPAT28.PSL pattern algorithms.
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JavaScript Steplock 44Q Magic Sinewave Calculator Use for 11 pulses per quadrant, 44 pulses per cycle Includes superb. delta friendly 533 zeroing harmonics 2-34. |
Click here for the MSCAL44Q.PSL sourcecode.
Click here for the DPAT44.PDF demo.
Also view the DPAT44.PSL pattern algorithms.
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JavaScript Steplock 60Q Magic Sinewave Calculator Use for 15 pulses per quadrant, 60 pulses per cycle Includes. outrageous delta friendly 744 zeroing harmonics 2-46. |
Click here for the MSCAL60Q.PSL sourcecode.
Click here for the DPAT60.PDF demo.
Also view the DPAT60.PSL pattern algorithms.
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JavaScript Steplock 76Q Magic Sinewave Calculator Use for 19 pulses per quadrant, 76 pulses per cycle Includes. outrageous delta friendly 955 zeroing harmonics 2-58. |
Click here for the MSCAL76Q.PSL sourcecode.
Click here for the DPAT76.PDF demo.
Also view the DPAT76.PSL pattern algorithms.
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JavaScript Steplock 92Q Magic Sinewave Calculator Use for 23 pulses per quadrant, 92 pulses per cycle Includes. outrageous delta friendly 1166 zeroing harmonics 2-70. |
Click here for the MSCAL92Q.PSL sourcecode.
Click here for the DPAT92.PDF demo.
Also view the DPAT92.PSL pattern algorithms.
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JavaScript Steplock 108Q Magic Sinewave Calculator Use for 27 pulses per quadrant, 108 pulses per cycle Includes. outrageous delta friendly 1377 zeroing harmonics 2-84. |
Click here for the MSCAL108Q.PSL sourcecode.
Click here for the DPAT108.PDF demo.
Also view the DPAT108.PSL pattern algorithms.
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JavaScript Steplock 124Q Magic Sinewave Calculator Use for 31 pulses per quadrant, 124 pulses per cycle Includes. outrageous delta friendly 1588 zeroing harmonics 2-96. |
Click here for the MSCAL124Q.PSL sourcecode.
Click here for the DPAT124.PDF demo.
Also view the DPAT124.PSL pattern algorithms.
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JavaScript Steplock 140Q Magic Sinewave Calculator Use for 35 pulses per quadrant,140 pulses per cycle Includes. outrageous delta friendly 1799 zeroing harmonics 2-108. |
Click here for the MSCAL140Q.PSL sourcecode.
Click here for the DPAT140.PDF demo.
Also view the DPAT140.PSL pattern algorithms.
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JavaScript Steplock 156Q Magic Sinewave Calculator Use for 39 pulses per quadrant, 156 pulses per cycle Includes. outrageous delta friendly 191010 zeroing harmonics 2-120. |
Click here for the MSCAL156Q.PSL sourcecode.
Click here for the DPAT156.PDF demo.
Also view the DPAT156.PSL pattern algorithms.
Series "II" Magic Sinewave Calculators:
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JavaScript Steplock 04 Magic Sinewave Calculator Use for 1 pulse per quadrant, 4 pulses per cycle. All harmonics zeroed through the fourth. |
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JavaScript Steplock 08 Magic Sinewave Calculator Use for 2 pulses per quadrant, 8 pulses per cycle. All harmonics zeroed through the eighth. |
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JavaScript Steplock 12 Magic Sinewave Calculator Use for 3 pulses per quadrant, 12 pulses per cycle. All harmonics zeroed through the twelfth. Delta friendly. |
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JavaScript Steplock 16 Magic Sinewave Calculator Use for 4 pulses per quadrant, 16 pulses per cycle. All harmonics zeroed through the sixteenth. |
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JavaScript Steplock 18 Magic Sinewave Calculator Use for 4.5 bridging pulses per quadrant,18 pulses per cycle. All harmonics zeroed through the eighteenth. |
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JavaScript Steplock 20 Magic Sinewave Calculator Use for 5 pulses per quadrant, 20 pulses per cycle. All harmonics zeroed through the twenthieh. Delta friendly. |
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JavaScript Steplock 24 Magic Sinewave Calculator Use for 6 pulses per quadrant, 24 pulses per cycle. All harmonics zeroed through the twenty fourth. |
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JavaScript Steplock 28 Magic Sinewave Calculator Use for 7 pulses per quadrant, 28 pulses per cycle. All harmonics zeroed through the twenty eighth. Delta friendly. |
Click here for a revised and improved Delta 322R Calculator.
This is probably the best Delta Friendly solution to date.
Also view the DELTAPAT.PDF demo.
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Improved Steplock 28Q Magic Sinewave Calculator Use for 7 pulses per quadrant, 28 pulses per cycle. Includes data bit quantization accuracy analyzer. |
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JavaScript Steplock 32 Magic Sinewave Calculator Use for 8 pulses per quadrant, 32 pulses per cycle. All harmonics zeroed through the thirty-second. |
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JavaScript Steplock 36 Magic Sinewave Calculator Use for 9 pulses per quadrant, 36 pulses per cycle. All harmonics zeroed through the thirty-sixth. Delta friendly. |
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JavaScript Steplock 40 Magic Sinewave Calculator Use for 10 pulses per quadrant, 40 pulses per cycle. All harmonics zeroed through the fortieth. |
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JavaScript Steplock 44 Magic Sinewave Calculator Use for 11 pulses per quadrant, 44 pulses per cycle. All harmonics zeroed through the fourty-fourth. Delta friendly. |
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JavaScript Steplock 46 Magic Sinewave Calculator Use for 11.5 pulses per quadrant, 46 pulses per cycle. All harmonics zeroed through the fourty-fourth. Bridging. |
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JavaScript Steplock 48 Magic Sinewave Calculator Use for 12 pulses per quadrant, 48 pulses per cycle. All harmonics zeroed through the fourty-eighth. . |
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Older Calculator & Analysis Generators:
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PostScript calculator builder MSCAL44Q.PSL Quickly creates the above JavaScript "Q" calculators. Read and custom modify in wp or editor. Then send to Distiller. |
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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: | . |
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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...
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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. |
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| Archived Magic Sinewave Catalogs: | . |
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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 |
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| 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~ "N" for normal sequence ~or~ "D" for 3-phase delta friendly ~or~ "C" for 100 steps in catalog ~or~ Pulses per cycle . First number is current amplitude. |
Steplock 8:
Steplock 10:
Steplock 12:
Steplock 14:
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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. |
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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. |
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Steplock 16:
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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. |
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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. |
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Steplock 18:
Steplock 20:
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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. |
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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. |
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Steplock 22:
Steplock 24:
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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. |
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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. |
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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. |
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Steplock 26:
Steplock 28:
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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. |
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Steplock 30:
Steplock 32:
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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. |
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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. |
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Steplock 34:
Steplock 36:
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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. |
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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. |
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Steplock 38:
Steplock 40:
Steplock 42:
Steplock 44:
Steplock 46:
Steplock 48:
Steplock 50:
| Archival Files: | . |
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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. |
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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. |
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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. |
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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. |
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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. |
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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. |
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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. |