Linear vernier machine wave converter modelling and analysis by MEC

Abstract

This study presents a novel technique for modelling of linear primary permanent-magnet (PM) vernier machine wave converter based on an improved magnetic-equivalent-circuit (MEC) method. Saturation effect is considered by a new method, where the B-H curve fitting is performed using a novel non-linear function. The machine properties such as the number of PMs, number of slots, magnets size, and all other machine parameters can be selected arbitrarily in the proposed model. The machine structure is considered by 12 individual zones. Each of the flux tubes in core and air gaps is modelled by a non-linear reluctance, and the machine performances in both transient and steady-state conditions are studied. Various machine properties such as magnets size and winding configuration are analysed and the dynamic behaviour is compared in various cases. Comparison to finite-element method (FEM) shows the effectiveness and accuracy of the proposed MEC method and its much shorter processing time compared with FEM.

A comprehensive analysis on a novel DC‐Excited Flux‐Switching Linear Motor as a new linear vehicle for transportation systems

“…Hence, two individual DC‐FSLMs are considered, where the number of secondary poles under the mover are n pole = 10, and n pole = 14 for case 1, and case 2, respectively (see Equation ). Moreover, the considered assumptions for the performed simulations are written as follows: The core saturation is considered by a = 6750, b = 2.4, c = 0.52, and d = 2.5 for fitting of the magnetization curve on the Steel—1010 material curve [23, 29]. Considering R f = 0.5 Ω and vf = 24 V, the steady‐state field current is if = 48 A.…”

“…Noticing Figures 1, and 2, the main parameters are tabulated in Table 1. In Equation (), μ r ( B ) is a non‐linear function for saturation effect as written in Equation (), where the B‐H curve of the flux tubes can be fitted on the actual martial curve by a , b , c , and d parameters [22–27, 29, 31]. $$$R{i}_{j}=\left\{\begin{array}{ll}\frac{l{i}_{j}}{{\mu }_{0}.$$…”

“…In a MEC‐based technique, there are three sets of equations that should be considered for a given electric machine (Magnetic, Electric, and Mechanical equations). Although the whole system equations are different for two given machines, the general procedure of calculation can be derived from the previous presented MEC models [22, 23, 29, 30]. Therefore, some repetitive procedures are omitted in this work, which can be resulted from the mentioned references as follows: The main KVL‐ and KCL‐based equations based on removing dependent ones to reach a minimal number of magnetic equations can be understood by Refs.…”

“…Therefore, some repetitive procedures are omitted in this work, which can be resulted from the mentioned references as follows: The main KVL‐ and KCL‐based equations based on removing dependent ones to reach a minimal number of magnetic equations can be understood by Refs. [22–27]. The mechanical and electric equations in differential form can be obtained by the presented method in Refs.…”

“…The main KVL‐ and KCL‐based equations based on removing dependent ones to reach a minimal number of magnetic equations can be understood by Refs. [22–27].…”