Inverter harmonic reduction using Walsh function harmonic elimination method

Liang, Tsorng–Juu; O’Connell, R.M.; Hoft, R.G.

doi:10.1109/63.641495

Cited by 177 publications

(27 citation statements)

References 12 publications

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“…The cost function T n , and the fitness value, f, of a SHEM angle set can be expressed by squaring the left hand sides of the equations in (12) and then summing them up as given in (13). In (13), γ should be set to a value higher than 10 to converge the solution more rapidly.…”

Section: Determination Of Cost Functionmentioning

confidence: 99%

“…Iterative methods, such as the Newton-Raphson method [2,3] and the homotopy algorithm [4][5][6][7], are given in the first group. Some other iterative numerical techniques have been proposed in [8][9][10][11], and the Walsh-function-based analytical technique has been adopted in [12]. In [13,14], to find the solutions for all modulation indices, theories of resultants and symmetric polynomials have been employed, which are then used to solve the polynomial equations obtained from transcendental equations.…”

Section: Introductionmentioning

confidence: 99%

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On-Line Application of SHEM by Particle Swarm Optimization to Grid-Connected, Three-Phase, Two-Level VSCs with Variable DC Link Voltage

2018

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This paper is devoted to an otablen-line application of the selective harmonic elimination method (SHEM) to three-phase, two-level, grid-connected voltage source converters (VSCs) by particle swarm optimization (PSO). In such systems, active power can be controlled by the phase shift angle, and reactive power by the modulation index, against variations in the direct current (DC) link voltage. Some selected, low-odd-order harmonic components in the line-to-neutral output voltage waveforms are eliminated by calculating the SHEM angle set continuously through the developed PSO algorithm on field-programmable gate array (FPGA)-based computing hardware as the modulation index is varied. The use of powerful computing hardware permits the elimination of all harmonics up to 50th. The cost function of the developed PSO algorithm is formulated by using an optimum number of particles to obtain a global optimum solution with a small fitness value in each half-cycle of the grid voltage and then updating the SHEM angle set at the beginning of the next full-cycle. Since the convergence of the solution to a global minimum point depends upon the use of correct initial values especially for a large number of SHEM angles, a generalized initialization procedure is also described in the paper. Theoretical results are verified initially using hardware co-simulation. They are also tested using a small scale photovoltaic (PV) supply prototype developed specifically for this purpose. It is demonstrated that the 5th, 7th, 11th, 13th, 17th, and 19th sidekick harmonics are eliminated by on-line calculation of seven SHEM angles through the developed PSO algorithm on a moderately powerful XEM6010-LX150, USB-2.0-integrated FPGA module. All control and protection actions and the calculation of SHEM angles are achieved by a single FPGA chip and its peripherals within the FPGA board.

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Section: Determination Of Cost Functionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

On-Line Application of SHEM by Particle Swarm Optimization to Grid-Connected, Three-Phase, Two-Level VSCs with Variable DC Link Voltage

2018

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“…In 1999, an analog-based modified PWM control scheme has been developed to eliminate low order harmonic components caused by the nonconstant dc voltage [9]. In 1981, a method has been enabled to obtain the inverter output waveform variable continuously from a nearly sinusoidal to square wave and aimed at increasing the amplitude of the output fundamental without further adverse effects [10]. Harmonic elimination using Walsh function has been presented in [11] to cover optimized switching angles by solving linear algebraic equations instead of solving nonlinear transcendental equations.…”

Section: Introductionmentioning

confidence: 99%

FPGA Techniques Based New Hybrid Modulation Strategies for Voltage Source Inverters

Sudha¹,

Baskaran²,

Elankurisil³

2015

The Scientific World Journal

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This paper corroborates three different hybrid modulation strategies suitable for single-phase voltage source inverter. The proposed method is formulated using fundamental switching and carrier based pulse width modulation methods. The main tale of this proposed method is to optimize a specific performance criterion, such as minimization of the total harmonic distortion (THD), lower order harmonics, switching losses, and heat losses. The proposed method is articulated using fundamental switching and carrier based pulse width modulation methods. Thus, the harmonic pollution in the power system will be reduced and the power quality will be augmented with better harmonic profile for a target fundamental output voltage. The proposed modulation strategies are simulated in MATLAB r2010a and implemented in a Xilinx spartan 3E-500 FG 320 FPGA processor. The feasibility of these modulation strategies is authenticated through simulation and experimental results.

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“…From this technique, other commutation schemes have been derived such as the spatial vector modulation (SVM) [2] and HEPWM combined with the theory of regular sampling [3], which improve the computation time associated to the firing angle assessment. In order to avoid the solution of nonlinear equations, other PWM techniques apply Walsh functions [4], which solve a set of algebraic equations. In this letter, a new technique is proposed to determine the location of the commutation angles based on a closed-form equation derived from the centroid algorithm.…”

Section: Introductionmentioning

confidence: 99%