A simplified rational representation for positive-dimensional polynomial systems and SHEPWM equations solving
- 44 Downloads
The paper is concerned with the improvement of the rational representation theory for solving positive-dimensional polynomial systems. The authors simplify the expression of rational representation set proposed by Tan and Zhang (2010), obtain the simplified rational representation with less rational representation sets, and hence reduce the complexity for representing the variety of a positive-dimensional ideal. As an application, the authors compute a “nearly” parametric solution for the SHEPWM problem with a fixed number of switching angles.
KeywordsPositive-dimensional polynomial system solving rational univariate representation SHEPWM simplified rational representation
Unable to display preview. Download preview PDF.
- Zeng G X and Xiao S J, Computing the rational univariate representations for zero-dimensional systems by Wu’s method, Sci. Sin. Math., 2010, 40(10): 999–1016 (in Chinese).Google Scholar
- Tan C, The rational representation for solving polynomial systems, Ph.D. thesis, Jilin University, Changchun, 2009 (in Chinese).Google Scholar
- Tan C and Zhang S G, Computation of the rational representation for solutions of highdimensional systems, Comm. Math. Res., 2010, 26(2): 119–130.Google Scholar
- Wang Q J, Chen Q, Jiang WD, et al., Research on 3-level inverter harmonics elimination using the theory of multivariable polynomials, Proceedings of the CSEE, 2007, 27(7): 88–93 (in Chinese).Google Scholar