Copyright c 1996 by Don Lancaster and Synergetics, Box 809, Thatcher, AZ, 85552
(520) 428-4073 https://www.tinaja.com email: synergetics@tinaja.com All commercial
rights and all electronic media rights are **FULLY** reserved.

Royalty and consulting fees **required** for any and all commercial uses.

Magic sinewaves are ultra long repeating binary sequences highly useful for induction motor speed controls, electric autos, solar inverters, and home energy efficiency improvers. Compared to traditional PWM, magic sinewaves offer lower costs, higher efficieny, elegant simplicity, simplified filtering, and involve significantly less high frequency energy.

Additional details on magic sinewaves appear on www.tinaja.com

This is a preliminary sequence of three phase "delta friendly" magic sinewaves. The 49 available amplitudes are optimized for low distortion combined with reasonable jitter and efficiency.

Only the first quadrant of the "a" phase sequence is shown. The "b" phase sequence is delayed by 120 degrees, and the "c" by 240 degrees.

A second order Butterworth filter at twice the cutoff frequency is assumed. Such an analysis filter agressively minimizes the strengths of the fifth and seventh harmonics. 

Only a few of the results are listed in this "sampler" sequence. The full listing is available only to Synergetics partners and magic sinewave seminar participants.

MS.288.DF.0 
============

000000000000000000000000000000000000000000000000
000000000000000000000000
Hexadecimal:             $000000000000000000
Fundamental Amplitude:   0.00
Transitions:             0
Filter:                  secondorder2.0
Distortion 3-17:         0.0%

Relative Harmonics 3 through 17:
0.0            0.0           0.0           0.0
0.0            0.0           0.0           0.0 

MS.288.DF.8
===========

000000000000000001000000000001000000001000001000
000100000100000001100000

Hexadecimal:             $000040040208104060
Fundamental Amplitude:   0.171861  
Transitions:             14
Filter:                  secondorder2.0  
Distortion 3-17:         0.4928%

Relative Harmonics 3 through 17:
     4.81693e-09    -0.000976663    -0.00056194    0.0
    -0.0023723      -0.0037131      -1.50529e-10  -0.0018981 

MS.288.DF.16
============

000000000001000000001000001000100001000010100100
001001010001100001001100

Hexadecimal:             $0010082210A425184C
Fundamental Amplitude:   0.340068
Transitions:             28
Filter:                  secondorder2.0
Distortion 3-17:         0.0841%

Relative Harmonics 3 through 17:
     -4.86869e-09     0.000241326    0.000724859     3.04293E-10
      0.000176419     2.59203e-05   -7.60732e-11     0.000304352

MS.288.DF.24
============

000000000100000001000100100001001010100010101001
100101010101010101100101

Hexadecimal:             $00404484A8A9955565
Fundamental Amplitude:   0.510085
Transitions:             43
Filter:                  secondorder2.0
Distortion 3-17:         0.041%

Relative Harmonics 3 through 17:
   1.46065e-08    -0.000191329    -0.000283961    -6.08606e-10
   7.76021e-05    -0.000177518     1.01434e-10     0.000115957 
 

MS.288.DF.32
============

000000000100010000001101000001111000100101111100
001111101101010111101101

Hexadecimal:             $00440D07897C3ED5ED
Fundamental Amplitude:   0.680198 Transitions: 29 Filter: secondorder2.0 Distortion 3-17:         0.0312%

Relative Harmonics 3 through 17:
   -1.33877e-08   -3.85273e-05    2.83173e-05     7.60663e-10
   -7.9489e-05     0.000292073   -7.60663e-11    -5.90446e-05 

MS.288.DF.40
============

000000001001000000110100110000111110011010111011
110111011111011111110111

Hexadecimal:             $009034C3E6BBDDF7F7
Fundamental Amplitude:   0.849143
Transitions:             27
Filter:                  secondorder2.0
Distortion 3-17:         0.0301%

Relative Harmonics 3 through 17:
    0.0          1.11613e-05     -0.000118506     -1.21864e-10
    0.00024428   5.63224e-05      0.0             -0.000115912 

MS.288.DF.48
============

000010001000100010001110100011101110111011101111
111111111111111111111111

Hexadecimal:             $08888E8EEEEFFFFFFF
Fundamental Amplitude:   1.00818
Transitions:             21
Filter:                  secondorder2.0
Distortion 3-17:         0.3311%

Relative Harmonics 3 through 17:
    8.21122e-09    0.00195172    0.00228234    -1.0264e-10
    0.000987823    0.000871798   3.07921e-10    0.000455182 

Copyright c 1996 by Don Lancaster and Synergetics, Box 809, Thatcher, AZ, 85552
(520) 428-4073 https://www.tinaja.com email: synergetics@tinaja.com All commercial
rights and all electronic media rights are **FULLY** reserved. Royalty and consulting
fees **required** for any and all commercial use.