The Use of Power Sums to Solve the Harmonic Elimination Equations for Multilevel Converters

By John N. Chiasson, Leon M. Tolbert, Zhong Du, Keith McKenzie. 2005

79 citations recorded by the source corpus.

Subfields: Electrical and Electronic Engineering

View Paper: https://www.semanticscholar.org/paper/fab373c52573c6a92716777665ccea19aded2b8f

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In Electrical and Electronic Engineering

1. Kehu Yang
2. Jin Wang
3. Bin Wu
4. Ruyi Yuan
5. Wensheng Yu
6. Xinbo Ruan
7. Wanmin Fei
8. Jiaxin Yuan

Citations in the corpus

• Unified Selective Harmonic Elimination for Multilevel Converters (2017, methodology): “ing the switching angles): For each group of solutions for (e1 , e2 , e3 , e4), although the final solutions for (x1 , x2 , x3 , x4) can be solved from (8) by using the resultant elimination method as in [40] and [41], it is more or less complicated and unnecessary.”
• Selective Harmonic Elimination PWM Control for Cascaded Multilevel Voltage Source Converters: A Generalized Formula (2008, background): “In recent work [24], the theory of the power sums was introduced to reduce the degree of the polynomial equations that must be solved so that they are well within the capability of existing computer algebra software tools.”
• A Universal Selective Harmonic Elimination Method for High-Power Inverters (2011, methodology): “Case studies of the proposed methods are shown in Section IV, whereas the simulation and experimental verifications are shown in Section V.”
• A Generalized Formulation of Quarter-Wave Symmetry SHE-PWM Problems for Multilevel Inverters (2009, background): “In [10], the theory of the power sums was introduced to reduce the degree of the polynomial equations that must be solved so that they are well within the capability of”
• Harmonic Minimization in Multilevel Inverters Using Modified Species-Based Particle Swarm Optimization (2009, unknown): “symmetrical equations set [11], [12]), the degrees of the polynomial in these equations become so large that solving them using contemporary computer algebra software tools such as”
• A Groebner Bases Theory-Based Method for Selective Harmonic Elimination (2015, background): “Then, the symmetric polynomial theory [22] and the power sum [23] are introduced to reduce the degree of the resultant polynomials, the maximum reported solvable switching angles is limited to five.”
• Selective Harmonic Elimination With Groebner Bases and Symmetric Polynomials (2016, methodology): “switching angles or the dc sources are less than five [34].”