A complete solution to the harmonic elimination problem

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

doi:10.1109/apec.2003.1179273

Cited by 82 publications

(62 citation statements)

References 3 publications

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“…As the 3 rd harmonic and other triplen harmonics do not exist when the neutral point is isolated , n takes the odd values 5,7,11,13,17,19, and 23.…”

Section: Formulation Of the She Problemmentioning

confidence: 99%

Harmonic Elimination in Three-Phase Voltage Source Inverters by Particle Swarm Optimization

Azab¹

2011

Journal of Electrical Engineering and Technology

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-This paper presents accurate solutions for nonlinear transcendental equations of the selective harmonic elimination technique used in three-phase PWM inverters feeding the induction motor by particle swarm optimization (PSO). With the proposed approach, the required switching angles are computed efficiently to eliminate low order harmonics up to the 23 rd from the inverter voltage waveform, whereas the magnitude of the fundamental component is controlled to the desired value. A set of solutions and the evaluation of the proposed method are presented. The obtained results prove that the algorithm converges to a precise solution after several iterations. The salient contribution of the paper is the application of the particle swarm algorithm to attenuate successfully any undesired loworder harmonics from the inverter output voltage. The current paper demonstrates that the PSO is a promising approach to control the operation of a three-phase voltage source inverter with a selective harmonic elimination strategy to be applied in induction motor drives.

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“…As the 3 rd harmonic and other triplen harmonics do not exist when the neutral point is isolated , n takes the odd values 5,7,11,13,17,19, and 23.…”

Section: Formulation Of the She Problemmentioning

confidence: 99%

Harmonic Elimination in Three-Phase Voltage Source Inverters by Particle Swarm Optimization

Azab¹

2011

Journal of Electrical Engineering and Technology

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“…An accurate solution is guaranteed even for a number of switching angles that is higher than other techniques would be able to calculate for a given computational effort. Hence it seems to be a promising method for applications when a high number of dc sources are sought in order to eliminate more low order harmonics to further reduce the THD, [9,10,12]. This paper is organized as follows.…”

Section: Introductionmentioning

confidence: 99%

Performance Enhancement of Embedded System Based Multilevel Inverter Using Genetic Algorithm

Perumal¹,

Nanjudapan²

2011

Journal of Electrical Engineering

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This paper presents an optimal solution for eliminating pre specified order of harmonics from a stepped waveform of a multilevel inverter topology with equal dc sources. The main challenge of solving the associated non linear equation which are transcendental in nature and therefore have multiple solutions is the convergence of the relevant algorithms and therefore an initial point selected considerably close to the exact solution is required. The paper describes an efficient genetic algorithm 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. The performance of cascaded multilevel inverter is compared based on computation of switching angle using Genetic Algorithm as well as conventional Newton Raphson approach. A significant improvement in harmonic profile is achieved in the GA based approach. A nine level cascaded multi level inverter is simulated in MATLAB Simulink and a proto type model has been fabricated to validate the simulation results.

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“…Paper [9] mentioned that this online technique could be achieved with a lookup table. However, the problem is that it can not get a series of reasonable solution, which hindered its a further study on it, another approach is mentioned in [10,11].This is done by first converting the transcendental equations that specify the harmonic elimination problem into an equivalent set of polynomial equations. Then, using the mathematical theory of resultants, all solutions to this equivalent problem can be found.…”

Section: Introductionmentioning

confidence: 99%

Simulation Study of Selected Harmonic Eliminated PWM Methods for Cascaded Multilevel Inverters

Li¹

2015

Proceedings of the 2015 International Power, Electronics and Materials Engineering Conference

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Abstract. Calculation switching angles online for Selected Harmonic Eliminated technology was achieved in this paper, using linear interpolation method and Newton-Laphson iteration method respectively. Firstly, change SHE nonlinear equations into algebraic polynomial equations, which is for seven-level inverter, obtain all the solutions using Solve function in Matlab software when the modulation index m arrange from 0.485 to 1.07. Then draw a cure for switching angles versus m and the characteristic of switching angles has been analyzed. Finally, use two different methods, the one that look-up table combining with linear interpolation and the other that the Newton-Laphson iteration method whose initial value decided by equations form a linear fit of switching angles, to compute the angles online for cascaded 7-level inverter controlling by SHEPWM, a comparative analysis has been done. The study of simulation and experiment results certificate the angles worked out by the opposed method are correct. The two methods, mentioned by this paper are valid.

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A complete solution to the harmonic elimination problem

Cited by 82 publications

References 3 publications

Harmonic Elimination in Three-Phase Voltage Source Inverters by Particle Swarm Optimization

Harmonic Elimination in Three-Phase Voltage Source Inverters by Particle Swarm Optimization

Performance Enhancement of Embedded System Based Multilevel Inverter Using Genetic Algorithm

Simulation Study of Selected Harmonic Eliminated PWM Methods for Cascaded Multilevel Inverters

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