Simple analytical solution for selective harmonic elimination technique

Ahmed, Mahrous; Hendawi, Essam; Taha, Ibrahim B. M.

doi:10.1049/el.2015.3733

Cited by 15 publications

(10 citation statements)

References 7 publications

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“…On the other hand, real-time solution is adopted to track modulation index changes [17][18][19][20][21][22][23][24][25]. These proposed techniques will be discussed in detail, based on symmetrical/asymmetrical DC sources MLI and higher/lower order harmonic eliminations.…”

Section: Introductionmentioning

confidence: 99%

“…These proposed techniques will be discussed in detail, based on symmetrical/asymmetrical DC sources MLI and higher/lower order harmonic eliminations. In [17][18][19][20], real-time SHE solution methods for symmetric MLIs are proposed. In [17], a real-time implementation of selective harmonic elimination pulse width modulation (SHEPWM) using a generalized Hopfield neural network (GHNN) is applied to a single phase with single source DC inverter.…”

Section: Introductionmentioning

confidence: 99%

“…The method can solve the higher order of harmonic equations for only a symmetric MLI inverter. In [18], a simple analytical closed-form solution was introduced and validated based on the cosine term identities for multiple angles. The nonlinear transcendental set of equations is transformed into a second-order equation with well-known simple solutions.…”

Section: Introductionmentioning

confidence: 99%

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Classical Control for Unequal DC Sources Five-Level Inverter-Based SHE Technique

et al. 2020

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This study proposes a classical control algorithm for solving the transcendental set of equations for the unequal DC sources of five-level multilevel inverters (MLIs). Such sources can be generated from renewable energy sources. Two DC sources with different values are used to produce an output voltage with five levels. Then, a set of two transcendental equations is formulated with two targeted functions to control the fundamental component and cancel the stipulated single harmonic order. The proposed solution uses a simple classical proportional control with two loops to generate two switching angles. The first switching angle is assigned with an initial value, whereas the second one is calculated from the inner loop. The outer loop is used to cancel the specified harmonic by sending the error signal to the proposed proportional control that tunes the switching angles. The proposed algorithm is easy, fast, and accurate, and has a wide-range solution in terms of modulation index (MI ) and input DC source ratio (x=V1V2≤1). The proposed algorithm is tested for a wide range of MI and x to verify its feasibility. Moreover, several simulation and laboratory tests are presented to further validate the applicability of the proposed approach.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Classical Control for Unequal DC Sources Five-Level Inverter-Based SHE Technique

et al. 2020

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“…Other solutions are proposed in [21,22]. A simple closed-form analytical solution is proposed in [21] which is fast, accurate and it can guarantee harmonic cancellation as stipulated.…”

Section: Introductionmentioning

confidence: 99%

Selective harmonic elimination method for unequal DC sources of multilevel inverters

et al. 2019

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This paper presented an analytical and closed-form solution for the harmonic contents that were injected in the five-level inverters from asymmetrical DC sources or batteries which were suitable for renewable energy sources. In the five-level inverters, two DC sources V 1 and V 2 were used to synthesize the output voltage. Therefore, two transcendental equations were formulated for the fundamental and the third harmonic orders based on the unequal DC sources V 1 and V 2 . These transcendental equations were solved analytically for low switching control technique. The proposed solution included the modulation index change which resulted in changing the fundamental component. Therefore, two switching angles are formulated and solved analytically to control the amplitude of the fundamental voltage and cancel the third order harmonic. A well-known third order equation was generated. Thus, a closed-form solution for the above two switching angles will be generated in terms of the modulation index. The proposed solution was tested for a wide range of V 1 /V 2 ratio. Some selected simulation and experimental results were provided to validate the proposed method for wide ranges of both modulation index and V 1 /V 2 ratio.

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“…Selective Harmonic Elimination scheme is utilized for low switching frequency multilevel converters application. This technique is used to eliminate the low order odd harmonics from the output voltage signals by computing a set of identified nonlinear equations [17,18].…”

Section: Introductionmentioning

confidence: 99%

A novel optimization harmonic elimination technique for cascaded multilevel inverter

Aboadla¹,

Khan²,

Habaebi³

et al. 2019

Bulletin EEI

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The main goal of utilizing Selective Harmonic Elimination (SHE) techniques in Multilevel Inverters (MLI) is to produce a high-quality output voltage signal with a minimum Total Harmonic Distortion (THD). By calculating N switching angles, SHE technique can eliminate (N-1) low order odd harmonics of the output voltage waveform. To optimized and obtained these switching angles, N of nonlinear equations should be solved using a numerical method. Modulation index (m) and duty cycle play a big role in selective harmonic elimination technique to obtain a minimum harmonic distortion and desired fundamental component voltage. In this paper, a novel Optimization Harmonic Elimination Technique (OHET) based on SHE scheme is proposed to re-mitigate Total Harmonic Distortion. The performance of seven-level H-bridge cascade inverter is evaluated using PSIM and validated experimentally by developing a purposely built microcontroller-based printed circuit board.

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Simple analytical solution for selective harmonic elimination technique

Cited by 15 publications

References 7 publications

Classical Control for Unequal DC Sources Five-Level Inverter-Based SHE Technique

Classical Control for Unequal DC Sources Five-Level Inverter-Based SHE Technique

Selective harmonic elimination method for unequal DC sources of multilevel inverters

A novel optimization harmonic elimination technique for cascaded multilevel inverter

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