Elimination of harmonics in a multilevel converter using the theory of symmetric polynomials and resultants

Chiasson, John; Tolbert, Leon M.; McKenzie, K.J.; Zhang, Du

doi:10.1109/tcst.2004.839556

Cited by 226 publications

(67 citation statements)

References 21 publications

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“…These optimization techniques include deterministic methods like NR method (Patel & Hoft 1973; 1974), Predicted initial values (Sun & Grotstollen 1992), WALSH functions (Liang et al 1997), Elimination theory (Chiasson et al 2004), Resultant theory (Chiasson et al 2005), Function minimisation (Vassilios et al 2008) and stochastic optimization like modified species based particle swarm optimization(MPSO) (Tarafdar et al 2009) or continuous genetic algorithm(C-GA) (Reza et al 2011). …”

Section: Introductionmentioning

confidence: 99%

Harmonic analysis and FPGA implementation of SHE controlled three phase CHB 11-level inverter in MV drives using deterministic and stochastic optimization techniques

2013

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With the advancements in semiconductor technology, high power medium voltage (MV) Drives are extensively used in numerous industrial applications. Challenging technical requirements of MV Drives is to control multilevel inverter (MLI) with less Total harmonic distortion (%THD) which satisfies IEEE standard 519-1992 harmonic guidelines and less switching losses. Among all modulation control strategies for MLI, Selective harmonic elimination (SHE) technique is one of the traditionally preferred modulation control technique at fundamental switching frequency with better harmonic profile. On the other hand, the equations which are formed by SHE technique are highly non-linear in nature, may exist multiple, single or even no solution at particular modulation index (MI). However, in some MV Drive applications, it is required to operate over a range of MI. Providing analytical solutions for SHE equations during the whole range of MI from 0 to 1, has been a challenging task for researchers. In this paper, an attempt is made to solve SHE equations by using deterministic and stochastic optimization methods and comparative harmonic analysis has been carried out. An effective algorithm which minimizes %THD with less computational effort among all optimization algorithms has been presented. To validate the effectiveness of proposed MPSO technique, an experiment is carried out on a low power proto type of three phase CHB 11- level Inverter using FPGA based Xilinx’s Spartan -3A DSP Controller. The experimental results proved that MPSO technique has successfully solved SHE equations over all range of MI from 0 to 1, the %THD obtained over major range of MI also satisfies IEEE 519-1992 harmonic guidelines too.

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Section: Introductionmentioning

confidence: 99%

Harmonic analysis and FPGA implementation of SHE controlled three phase CHB 11-level inverter in MV drives using deterministic and stochastic optimization techniques

2013

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“…Output voltage is yielded is either positive, negative or zero volts and is depending on the switching angle as the individual circuit contains four switching elements. The output that is yielded is 2N+1 level; where N indicates the integer of batteries or number of full bridge inverter [9]. characteristics of each battery is identical.…”

Section: A Cascaded Multilevel Invertermentioning

confidence: 99%

Battery Balancing For a Multilevel Inverter

Uplaonkar,

Vagha

2019

IJEAT

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Battery balancing for a H bridge seven level inverter for a distributed generation is presented in this paper. The individual bridge is given input which is straight away attached to the battery. This arrangement of the batteries could be balanced by regulating the switching angle of switches in inverter. The standard setup of the scheme is described, and then mathematical equations are obtained. The outcome of simulation shows that battery balancing is achieved.

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“…Another mathematical method applied to SHEPWM is a resultant theory, which is a systematic method . In this approach, transcendental equations of SHEPWM are converted into an equivalent set of polynomial equations; then, the resultant theory is applied to solve them.…”

Section: Introductionmentioning

confidence: 99%

Application of ABC algorithm for selective harmonic elimination switching pattern of cascade multilevel inverter with unequal DC sources

Mousavi

Laharami

Kumle

et al. 2018

Int Trans Electr Energ Syst

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In this paper, Artificial Bee Colony (ABC) optimization algorithm is proposed to solve nonlinear equation of Selective Harmonic Elimination pattern considering unequal direct current sources. Satisfying fundamental component and eliminating low-order harmonics are the objects of Selective HarmonicElimination switching pattern. A 7-level inverter fed by isolated unequal direct current sources is chosen for this study. The performance of ABC algorithm, which is 1 of the powerful and new evolutionary optimization patterns, is compared with particle swarm optimization, genetic algorithm, and bee algorithm used by other researchers. The comparison of results shows that ABC algorithm finds optimized switching angles with more accuracy and higher convergence compared with others. All aforementioned algorithms were run 30 times, and the statistical analyses show that the algorithm finds switching angles with higher accuracy and lower speed deviation than other algorithms. These comparisons are implemented in MATLAB software; furthermore, the experimental results are presented for the purpose of verification.

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Elimination of harmonics in a multilevel converter using the theory of symmetric polynomials and resultants

Cited by 226 publications

References 21 publications

Harmonic analysis and FPGA implementation of SHE controlled three phase CHB 11-level inverter in MV drives using deterministic and stochastic optimization techniques

Harmonic analysis and FPGA implementation of SHE controlled three phase CHB 11-level inverter in MV drives using deterministic and stochastic optimization techniques

Battery Balancing For a Multilevel Inverter

Application of ABC algorithm for selective harmonic elimination switching pattern of cascade multilevel inverter with unequal DC sources

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