1999
DOI: 10.1073/pnas.96.22.12263
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Abstract: The mathematical underpinning of the pulse width modulation (PWM) technique lies in the attempt to represent "accurately" harmonic waveforms using only square forms of a fixed height. The accuracy can be measured using many norms, but the quality of the approximation of the analog signal (a harmonic form) by a digital one (simple pulses of a fixed high voltage level) requires of the elimination of high order harmonics in the error term. The most important practical problem is in "accurate" reproduction of sine… Show more

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Cited by 16 publications
(13 citation statements)
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“…If several solutions of the sequence of switching angles exist for the given modulation index (ratio of V DC and V 1 ), then such a solution is selected which minimizes other non-zero higher harmonics (THD). This problem was discussed in papers [2], [4] or [13], [15], [7], [5].…”
Section: B Optimal Switching Angles For Three-phase Multilevel Convementioning
confidence: 99%
See 2 more Smart Citations
“…If several solutions of the sequence of switching angles exist for the given modulation index (ratio of V DC and V 1 ), then such a solution is selected which minimizes other non-zero higher harmonics (THD). This problem was discussed in papers [2], [4] or [13], [15], [7], [5].…”
Section: B Optimal Switching Angles For Three-phase Multilevel Convementioning
confidence: 99%
“…where T n (x i ) is the Chebyshev polynomial of the first type and degree n. The set of equations (5) can then be converted to the form…”
Section: B Optimal Switching Angles For Three-phase Multilevel Convementioning
confidence: 99%
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“…This famous classical equation is known simply as the KdV equation. Recently, the KdV equation have been derived and modified in many different branches of science and engineering including the pulse-width modulation [2], mass transports in a chemical response theory [3], dust acoustic solitary structures in magnetized dusty plasmas [4] and nonlinear long dynamo waves observed in the Sun [5]. However, the high-order nonlinear terms must be taken into account in some complicated situations like at the critical density or in the vicinity of the critical velocity [6][7][8].…”
Section: Introductionmentioning
confidence: 99%
“…where g i = g i (t) , i = 1, ..., 7, are arbitrary smooth functions of t. Equation (5) includes considerably interesting equations like equations (1)(2)(3)(4). When, g 2 = 0, equation (5) is reduced to that in Ref.…”
Section: Introductionmentioning
confidence: 99%