A Unified Approach to Solving the Harmonic Elimination Equations in Multilevel Converters

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

doi:10.1109/tpel.2003.823198

Cited by 159 publications

(51 citation statements)

References 16 publications

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“…In high power applications, the harmonic substance of the yield waveforms must be lessened however much as could be expected keeping in mind the end goal to maintain a strategic distance from bending in the matrix and to achieve the most extreme vitality efficiency [6]. The test connected with procedures is to acquire the systematic arrangements of the non-direct supernatural mathematical statements that contain trigonometric terms which actually show numerous arrangements of solutions [7].…”

Section: Introductionmentioning

confidence: 99%

Harmonic Minimization in Seven Level Cascaded Multilevel Inverter Using Selective Harmonic Elimination PWM Techniques

Velmurugan¹,

Jeyabharath²,

Veena³

2016

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This paper concentrates on enhancing the productivity of the multilevel inverter and nature of yield voltage waveform. Seven level lessened switches topology has been actualized with just seven switches. Essential Switching plan and Selective Harmonics Elimination were executed to diminish the Total Harmonics Distortion (THD) esteem. Selective Harmonics Elimination Stepped Waveform (SHESW) strategy is executed to dispense with the lower order harmonics. Fundamental switching plan is utilized to control the switches in the inverter. The proposed topology is reasonable for any number of levels. The harmonic lessening is accomplished by selecting fitting switching angles. It indicates would like to decrease starting expense and unpredictability consequently it is able for modern applications. In this paper, third and fifth level harmonics have been disposed of. Simulation work is done utilizing the MATLAB/Simulink programming results have been displayed to accept the hypothesis.

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Section: Introductionmentioning

confidence: 99%

Harmonic Minimization in Seven Level Cascaded Multilevel Inverter Using Selective Harmonic Elimination PWM Techniques

Velmurugan¹,

Jeyabharath²,

Veena³

2016

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“…Many methods have been presented to solve such nonlinear transcendental equations. A systematic approach is proposed in [27], and it converts the transcendental equations into an equivalent set of polynomial equations that can be solved by use of the mathematical theory of resultants. However, considering the large degrees of the equivalent polynomial equations describing the problem of the proposed PSCPWM, it is not an effective approach.…”

Section: Introductionmentioning

confidence: 99%

Phase-Shifted Carrier Pulse Width Modulation Based on Particle Swarm Optimization for Cascaded H-bridge Multilevel Inverters with Unequal DC Voltages

Cai

Wu²,

et al. 2015

Energies

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High-voltage cascaded H-bridge multilevel (CHBML) inverters usually include many isolated dc voltage sources. Some dc source faults result in a drop in the dc voltage, thereby leading to unequal cell dc voltages. On the other hand, the differences in cell dc source parameters result in unequal dc voltages too. At present, riding through the faults of dc sources and operating under the condition of unequal dc voltages are required to improve the reliability of CHBML inverters. Unfortunately, the conventional phase-shifted carrier pulse width modulation (PSCPWM), which is widely used for CHBML inverters, cannot eliminate low-frequency sideband harmonics when cell dc voltages are not equal. This paper analyzes the principle of sideband harmonic elimination, and proposes an improved PSCPWM based on the particle swarm optimization algorithm. This modulation technique eliminates low-frequency sideband harmonics by calculating and regulating the carrier phases according to different cell dc voltages. The proposed PSCPWM enhances the reliability of the CHBML inverter and extends the range of its application. OPEN ACCESSEnergies 2015, 8 9671Simulation and experimental results obtained from the prototype of the CHBML inverter verify the theoretical analysis and the achievements made in this paper.

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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 Unified Approach to Solving the Harmonic Elimination Equations in Multilevel Converters

Cited by 159 publications

References 16 publications

Harmonic Minimization in Seven Level Cascaded Multilevel Inverter Using Selective Harmonic Elimination PWM Techniques

Harmonic Minimization in Seven Level Cascaded Multilevel Inverter Using Selective Harmonic Elimination PWM Techniques

Phase-Shifted Carrier Pulse Width Modulation Based on Particle Swarm Optimization for Cascaded H-bridge Multilevel Inverters with Unequal DC Voltages

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

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