2013
DOI: 10.1049/iet-pel.2012.0204
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Fast closed‐form solution of line‐to‐line voltage total harmonic distortion for three‐level inverters

Abstract: Harmonic emission to the network must be restricted below the predefined limits, avoiding power quality problems. Total harmonic distortion (THD) is a well-known criterion, which is used to determine harmonic content of each waveform, and extracting its exact value is very important. Three-level inverters produce a significant amount of harmonics and the exact closedform expression for their line-to-line voltage THD has not yet been derived. All presented methods in this regard are based on an approximate appr… Show more

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Cited by 8 publications
(6 citation statements)
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“…According to [21], the formula of the approximate method calculates phase-voltage THD, regardless of waveform type as follows…”
Section: Approximate Methodsmentioning
confidence: 99%
“…According to [21], the formula of the approximate method calculates phase-voltage THD, regardless of waveform type as follows…”
Section: Approximate Methodsmentioning
confidence: 99%
“…2 ⋅ cos ϕ 2 (24) where ϕ 1 = tan −1 (ωL eq, 1 − (1/ωC eq, 1 )/R eq, 1 ) and ϕ 2 = tan −1 (ωL eq, 2 − (1/ωC eq, 2 )/R eq, 2 ) . Therefore, the total output power of the proposed inverter could be written by…”
Section: The Equations Of Output Power Of Invertermentioning
confidence: 99%
“…As a result, it could reduce the rate of devices and save construction costs of inverter while operating in high input voltage applications. Moreover, the use of three-level inverter could also reduce the total harmonic distortion of output voltage and current waveforms [22][23][24] comparing with two-level inverter. Although the THD v does not have directly an effect on induction melting loads, it has directly made the problem about harmonics losses in ferrite cores of HF transformer.…”
Section: Introductionmentioning
confidence: 99%
“…In the literature [18] the precise LVTHD formulas for a three-level inverter with infinite number of switching degree is extracted. As a case study in [18] this aforementioned precise LVTHD formula with two switching angles are obtained, which are shown in (4) to (12).…”
Section: B Precise Line Voltage Thd Formulationmentioning
confidence: 99%
“…Also, the analytical approaches can be elicited to a valid expression, so extracting the precise formula of LVTHD is necessary. In literature [18] the precise formula of LVTHD is extracted for 3-Level inverter with infinite number of switching degrees, So, in this paper the precise formula of LVTHD is applied as a novel fitness function to minimize LVTHD. This novel LVTHD formula is a transcendental equation via switching angles.…”
Section: Introductionmentioning
confidence: 99%