Switching Angles Calculation in Multilevel Inverters Using Triangular Number Sequence –A THD Minimization Approach

Abstract

Many problems in nature can be solved by resorting to numbers in a particular sequence. For example, the numbers in the so called Fibonacci sequence have been successfully applied in computer science, mathematics and game theory. Another example is the triangular number sequence, which has two main applications: the handshake problem and the round-robin tournament. These two sequences can be found in the Pascal's triangle. With the aim of enhancing the waveform quality at the output of a multilevel inverter, this paper explores the suitability of the triangular number sequence to compute the commutation angles in Pulse Width Modulation switching pattern. It has been found that this approach provides a harmonic performance comparable to the results obtained with other calculation techniques such as the Newton Raphson method or Genetic Algorithm, but without the difficulty of solving the complex non-linear equation.

Performance Evaluation of Triangular Number Sequence Backoff Algorithm for Constrained Application Protocol

“…Our proposed backoff algorithm is motivated by the notion of a Figurate Number, i.e., a specific representation of dots formulating an image of an equilateral triangle. This algorithm relies upon the sum of the n th triangular number (Aguayo-Alquicira et al, 2020;Kane, 2009) to better retransmissions of the Default CoAP and overall system throughput. That is, it deals with the delay of message exchange and helps to lessen packet loss in a system.…”

Calculation of Optimal Switching Angles for a Multilevel Inverter Using NR, PSO, and GA- a Comparison

“…In the literature, different modulation techniques have been reported for MLIs in the low switching frequency category to obtain a staggering output voltage waveform [2,3,5]. In this category is the so-called Optimized Harmonic Stepped Waveform (OHSW) which can be divided into: Selective Harmonic Elimination (SHE) [7] and Optimal Minimization of the Total Harmonic Distortion (OMTHD) [5,8]. The following is a brief description of each of them:…”

“…There are a variety of optimization methods, including the nature-inspired algorithms, based on the cooperation of living organisms and in its social behavior such as insects, fish, birds, etc. Among these algorithms Particle Swarm Optimization (PSO), Bee Algorithm (BA), Genetic Algorithm (GA), Ant Colony Optimization (ACO) [3,4], and many others [5].…”