Control of a multilevel converter using resultant theory

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

doi:10.1109/tcst.2003.810382

Cited by 264 publications

(131 citation statements)

References 21 publications

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“…This paper presents the performance of new single phase multilevel inverter where its structure is totally different from some inverter type in literature. The level number can be easily increased [5]- [7]. As a result, voltage stress is reduced and more sinusoidal shaped output voltage waves can be obtained.…”

Section: Introductionmentioning

confidence: 99%

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A Heuristic Method: Differential Evolution for Harmonic Reduction in Multilevel Inverter System

Jamuna¹,

Rajan²

2013

IJCEE

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Abstract-In this paper, Differential Evolution (DE)optimization technique is applied to determine optimum switching angles for cascaded multilevel inverter topology with non equal dc sources for eliminating pre specified order of harmonics while maintaining the required fundamental voltage. This paper discusses briefly an efficient Differential Evolution algorithm (DE) that reduces significantly the computational burden resulting in fast convergence. An objective function describing a measure of effectiveness of eliminating selected order of harmonics while controlling the fundamental component is derived. This technique can be applied for any number of levels; as an example in this paper 7-level inverter with different modulation indices and switching angles are reported. Then, these angles are used in simulation to validate the results.Index Terms-RF MEMS, shunt switch, dc and rf characteristics, pull-in voltage, insertion loss, isolation, spring constant, young's modulus, poisson's ratio.

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Section: Introductionmentioning

confidence: 99%

“…The optimal switching angles are obtained by minimizing the equation (4) by equating to further constraints of equation (5) and this helps to eliminate the certain order of harmonics.…”

Section: Introductionmentioning

confidence: 99%

A Heuristic Method: Differential Evolution for Harmonic Reduction in Multilevel Inverter System

Jamuna¹,

Rajan²

2013

IJCEE

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“…Then the resultant method is employed to find the solutions when they exist. The advantage of the resultant method is that it can find all the solutions for the equations [7][8]. The 11-level solutions with lowest THD are shown in Fig.…”

Section: Resultant Methods For Multilevel Convertermentioning

confidence: 99%

“…Using the resultant method of [7][8], (6) is eliminated using a fundamental frequency switching scheme. Assuming the application is a balanced three-phase system, (5) need not be eliminated.…”

Section: Proposed Harmonic Elimination Methodsmentioning

confidence: 99%

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Harmonic elimination for multilevel converter with programmed PWM method

Zhang¹,

Tolbert

Chiasson

Conference Record of the 2004 IEEE Industry Applications Conference, 2004. 39th IAS Annual Meeting.

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AbstractThis paper presents a programmed PWM method to eliminate specific higher order harmonics of multilevel converters. First, resultant theory is applied to transcendental equations to eliminate low order harmonics and to determine switching angles for the fundamental frequency switching techniques. Next the magnitudes and phases of the residual higher order harmonics are computed, generated, and subtracted from the original voltage waveform to eliminate these higher order harmonics. The simulation results show that the method can effectively eliminate the specific harmonics, and a low total harmonic distortion (THD) near sine wave is produced. An experimental 11-level H-bridge multilevel converter with a firston, first-off switching strategy, which is used to balance loads between several levels, is employed to validate the method. The experimental results show that the method can effectively eliminate the specific harmonics, and the output voltage waveforms have less THD than that from the fundamental frequency switching techniques.

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Low switching frequency modulation of a 3 × 3 matrix converter in UPFC application using differential evolution method

Ahmad

Al‐Hitmi

Iqbal

et al. 2019

Int Trans Electr Energ Syst

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Summary This paper presents a low switching frequency–based pulse width modulation technique for a 3 × 3 indirect matrix converter. The nontriplen lower‐order harmonics are considered for minimization using differential evolution–based metaheuristic technique. The mathematical equations are formulated while considering minimization of nontriplet lower‐order harmonics along with control of fundamental voltage. An objective function is constructed by considering all the constraints on the feasible region and then it is minimized by using differential evolution technique. It is observed that the solution in the entire modulation range exists along with multiple solutions. Various cases of switching angles are considered, and solution trajectories are reported in practically feasible range. This type of modulation and control scheme is extremely useful in high power applications such as unified power flow controller as it minimizes the switching losses in the converter. The theoretical findings are verified by simulation and hardware results.

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Control of a multilevel converter using resultant theory

Cited by 264 publications

References 21 publications

A Heuristic Method: Differential Evolution for Harmonic Reduction in Multilevel Inverter System

A Heuristic Method: Differential Evolution for Harmonic Reduction in Multilevel Inverter System

Harmonic elimination for multilevel converter with programmed PWM method

Low switching frequency modulation of a 3 × 3 matrix converter in UPFC application using differential evolution method

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