Differential evolution‐based pulse‐width modulation technique for multiphase MC

Abstract

This paper addresses multiphase matrix converter (MPMCs) modulated with Venturini's classical scalar approach. The solution to obtain time-varying modulation functions was limited to 3 × 3 configuration, which was later extended to 3 × n configuration. The equations had four constants that were common to all modulation functions; out of which two were defined arbitrarily and other two were found analytically by reducing the equation to a two-variable optimisation problem. However, in this work, an attempt is made to provide flexibility in finding other solutions by taking all the constants as variables. Thus, Differential Evolution (DE) algorithm is adopted in the proposed modulation approach to solve the complex equations thus obtained. Another aim is to find the solution for the MPMC, where inputs are more than three. It is found that the optimal solutions exist only for 3 × n configuration and are in close approximation with the results of analytical approach. Other solutions were found for certain input and output frequencies and voltage transfer ratios whose results are discussed. It is also found that the solution does not exist for configurations with input phases are other than three. The discussion is supported by simulation and experimental results on a 3 × 7 matrix converter at various values of voltage transfer ratios and input/output frequencies.

Experimental Validation of Metaheuristic and Conventional Modulation, and Hysteresis Control of the Dual Boost Nine-Level Inverter

“…Conventional techniques are based on solving the transcendental equations by using techniques such as Newton-Raphson method [30]. Nowadays, nature inspired techniques like genetic algorithm [31], particle swarm optimization [32], differential evolution [33] are being employed. In this work a DE-based technique is employed.…”

“…Transcendental equations are formed based on Fourier analysis, which can be either solved by employing conventional techniques such as the Newton-Raphson method [30], or by employing advanced optimization tools based on natural evolution processes, such as genetic algorithm, particle swarm optimization, differential evolution [31][32][33]. In this paper, differential evolution (DE) is employed to find the optimum angles of switching.…”

Application of Analytic Signal and Smooth Interpolation in Pulsewidth Modulation for Conventional Matrix Converters

“…Modulating signals have been elaborated and proposed for a number of inputs greater than three, whereas the PWM duty cycle computation formula has not been proposed so far. A similar solution developed using heuristic methods has been presented in [24], where research results have been only demonstrated for three inputs, under the assumption of the balanced voltage source. A new interesting idea of a direct modulation is also proposed in [25], where detailed mathematical treatment, based on the power balance equations, is described.…”

Modulation Strategy for Multi-Phase Matrix Converter with Common Mode Voltage Elimination and Adjustment of the Input Displacement Angle

“…The presented modulation method is applicable to MCs that fulfill the condition, that the number of the output phases are the multiple of the input phases number. In turn, in the papers [35,36], it can be found that Venturini modulation method is feasible only for the MC, where the number of inputs is three. Taking into account these two conditions, the three-to-three-phase, three-to-six-phase and three-to-nine-phase MCs are analyzed in the present paper.…”