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Complete Fast Analytical Solution of the Optimal Odd Single-Phase Multilevel Problem

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21230%2F10%3A00158339" target="_blank" >RIV/68407700:21230/10:00158339 - isvavai.cz</a>

  • Alternative codes found

    RIV/67985556:_____/10:00345031

  • Result on the web

  • DOI - Digital Object Identifier

Alternative languages

  • Result language

    angličtina

  • Original language name

    Complete Fast Analytical Solution of the Optimal Odd Single-Phase Multilevel Problem

  • Original language description

    In this paper we focus on computation of optimal switching angles for general multilevel odd symmetry waveforms. We show that this problem is similar to (but more general than) the PWM modulation problem which is an established method of generating PWM waveforms with low base-band distortion. We introduce a new general modulation strategy for multilevel inverters which takes an analytic form and is very fast with the complexity of only O(n log^2 n) arithmetic operations where n is the num. of controlledharmonics. This alg. is based on a transf. of appropriate trigonometric eqs. for each controlled harmonics to a poly. system of eqs. that is further transformed to a special sys. of composite sum of powers. The solution of this sys. is carried out by amodification of the Newton's identity via Pade approx., formal ortho. poly. theory, and properties of symmetric poly. Finally, the optimal switching sequence is obtained by computing zeros of two formal ortho. poly. in one variable.

  • Czech name

  • Czech description

Classification

  • Type

    J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

  • CEP classification

    BC - Theory and management systems

  • OECD FORD branch

Result continuities

  • Project

    Result was created during the realization of more than one project. More information in the Projects tab.

  • Continuities

    P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Others

  • Publication year

    2010

  • Confidentiality

    S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Data specific for result type

  • Name of the periodical

    IEEE Transactions on Industrial Electronics

  • ISSN

    0278-0046

  • e-ISSN

  • Volume of the periodical

    2010

  • Issue of the periodical within the volume

    57(7)

  • Country of publishing house

    FR - FRANCE

  • Number of pages

    16

  • Pages from-to

  • UT code for WoS article

    000278811000021

  • EID of the result in the Scopus database