Control of a multilevel converter using resultant theory

By John N. Chiasson, Leon M. Tolbert, Keith McKenzie, Zhong Du. IEEE Transactions on Control Systems Technology, 2003

364 citations recorded by the source corpus.

Subfields: Electrical and Electronic Engineering

View Paper: https://www.semanticscholar.org/paper/c8c11f68b6875ea441f23e3d8f0797a065e8eba4

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In Electrical and Electronic Engineering

Citations in the corpus

A Multilevel Inverter for Photovoltaic Systems With Fuzzy Logic Control (2010, background): “, [17]–[23] and the other referenced multilevel papers).”
A Groebner Bases Theory-Based Method for Selective Harmonic Elimination (2015, methodology): “In [20], [21], the SHE equations are converted to the polynomial equations by using the multiple-angle formulas and the variables substitution, then the resultant elimination theory is introduced to transform the polynomial equations to their equivalent triangular form, finally, it can be solved by ”
A new approach to solving the harmonic elimination equations for a multilevel converter (2003, methodology): “In contrast to iterative methods, here a new approach is considered that gives all possible solutions and requires significantly less computational effort than the approach in [2].”
A Generalized Formulation of Quarter-Wave Symmetry SHE-PWM Problems for Multilevel Inverters (2009, methodology): “The theory of resultants and its performance for a multilevel staircase waveform was reported in [6], in which it is shown that the transcendental equations characterizing the harmonic content can be converted to polynomial equations and the latter can be solved to get the complete solution using th”
Unified Selective Harmonic Elimination for Multilevel Converters (2017, methodology): “the resultant elimination method [38]–[42], the Wu method [43] and the Groebner bases method [44], [45].”
Selective Harmonic Elimination With Groebner Bases and Symmetric Polynomials (2016, methodology): “The approach described above is very similar to the method used in [31] –[34], where the SHE equations are triangularized by the resultant elimination method.”
A Review of Architectures and Concepts for Intelligence in Future Electric Energy Systems (2015, methodology): “The transcendental equations characterizing the harmonic content can be converted in polynomial equations, which can be then solved using the method of resultants from elimination theory [50], [51].”
Modulation-Based Harmonic Elimination (2007, background): “An approach that guarantees all solutions fit a narrowly posed SHE problem transforms to a multivariate polynomial system [27]–[30] through trigonometric identities [31] and solves with resultant polyno-”
A Five-Level Symmetrically Defined Selective Harmonic Elimination PWM Strategy: Analysis and Experimental Validation (2008, background): “A difficulty with this approach [18], as suggested in [20], is that when there are several dc sources, the degrees of”
Selective Harmonic Elimination PWM Control for Cascaded Multilevel Voltage Source Converters: A Generalized Formula (2008, background): “An interesting method to overcome the previously mentioned drawbacks was reported in [20], where the theory of symmetric polynomials is exploited to reduce the degree of the polynomial equations that must be solved which in turn greatly reduces the computational burden.”
Elimination of harmonics in a multilevel converter with nonequal DC sources (2005, methodology): “Here, it is shown how the method in [2] can be extended for the nonequal or varying dc source case.”