COMPEL最新文献

{"title":"Topology and parameter optimization of IPM motor considering mechanical strength by stress and connection constraints","authors":"Kou Takenouchi, Shingo Hiruma, Takeshi Mifune, Tetsuji Matsuo","doi":"10.1108/compel-11-2023-0551","DOIUrl":"https://doi.org/10.1108/compel-11-2023-0551","url":null,"abstract":"<h3>Purpose</h3>\u0000<p>The purpose of this study is to apply the topology and parameter optimization (TPO) to interior permanent magnet (IPM) motors to obtain the optimized shape with higher torque, lower ripple and sufficient mechanical strength.</p><!--/ Abstract__block -->\u0000<h3>Design/methodology/approach</h3>\u0000<p>The constraints regarding the maximum stress, connectivity and mesh quality were considered to achieve not only high electrical performance but also high mechanical strength. To enhance the accuracy of the finite element analysis of the elastic analysis, this paper used body-fitted mesh adaptation technique to avoid the stress concentration.</p><!--/ Abstract__block -->\u0000<h3>Findings</h3>\u0000<p>The proposed method in this study resulted in feasible shapes with sufficiently high strength compared to previous studies. It is also shown that TPO yielded IPM motors with higher torque compared to topology optimization (TO) with fixed parameters.</p><!--/ Abstract__block -->\u0000<h3>Practical implications</h3>\u0000<p>Different from the existing studies on topology optimization of IPM motors, the mechanical strength is even considered by evaluating the stress values. Therefore, in the practical phase, geometries can be designed that are less likely to be damaged due to deformation, even in the high-speed rotation range.</p><!--/ Abstract__block -->\u0000<h3>Originality/value</h3>\u0000<p>This paper performed TO and parameter optimization (PO) simultaneously, considering not only the electrical performance but also the mechanical strength. Furthermore, the mechanical strength was evaluated more precisely by devising the elastic analysis conditions and mesh generation.</p><!--/ Abstract__block -->","PeriodicalId":501376,"journal":{"name":"COMPEL","volume":"34 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-06-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141506169","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"A new stress tensor approach for application to the conductor surface","authors":"Bojana Petkovć, Marek Ziolkowski, Hannes Toepfer, Jens Haueisen","doi":"10.1108/compel-10-2023-0543","DOIUrl":"https://doi.org/10.1108/compel-10-2023-0543","url":null,"abstract":"<h3>Purpose</h3>\u0000<p>The purpose of this paper is to derive a new stress tensor for calculating the Lorentz force acting on an arbitrarily shaped nonmagnetic conductive specimen moving in the field of a permanent magnet. The stress tensor allows for a transition from a volume to a surface integral for force calculation.</p><!--/ Abstract__block -->\u0000<h3>Design/methodology/approach</h3>\u0000<p>This paper derives a new stress tensor which consists of two parts: the first part corresponds to the scaled Poynting vector and the second part corresponds to the velocity term. This paper converts the triple integral over the volume of the conductor to a double integral over its surface, where the subintegral functions are continuous through the different compartments of the model. Numerical results and comparison to the standard volume discretization using the finite element method are given.</p><!--/ Abstract__block -->\u0000<h3>Findings</h3>\u0000<p>This paper evaluated the performance of the new stress tensor computation on a thick and thin cuboid, a thin disk, a sphere and a thin cuboid containing a surface defect. The integrals are valid for any geometry of the specimen and the position and orientation of the magnet. The normalized root mean square errors are below 0.26% with respect to a reference finite element solution applying volume integration.</p><!--/ Abstract__block -->\u0000<h3>Originality/value</h3>\u0000<p>Tensor elements are continuous throughout the model, allowing integration directly over the conductor surface.</p><!--/ Abstract__block -->","PeriodicalId":501376,"journal":{"name":"COMPEL","volume":"39 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-06-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141506170","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Investigation of shaded pole stator topology for low power AC motors design","authors":"Lidija Petkovska, Goga Vladimir Cvetkovski","doi":"10.1108/compel-11-2023-0567","DOIUrl":"https://doi.org/10.1108/compel-11-2023-0567","url":null,"abstract":"<h3>Purpose</h3>\u0000<p>This paper aims to investigate the features of single phase shaded pole stator with squirrel–cage rotor or permanent magnet rotor, that leads to an investigation of these topoloties as induction motor or synchronous motor. The comparative analysis is realised for the following three topologies: single phase shaded pole induction motor (SPIM) with squirrel–cage rotor, the second topology (single phase synchronous motor) has the same stator configuration but with permanent magnet rotor and the third investigated topology is similar to the second one, where the stator poles instead of iron steel are made of soft composite material.</p><!--/ Abstract__block -->\u0000<h3>Design/methodology/approach</h3>\u0000<p>The investigation in this work starts with a performance analysis of single-phase SPIM. Afterwards for the same stator topology the squirrel rotor is replaced with a two-pole permanent magnet rotor and the same performance analysis is realised for this topology. Finally, the second topology is improved bay replacing the iron steel stator poles with stator poles made of soft magnetic composite material and performance analysis is realised for this third type of topology as well. The performance analysis of all topologies is realised by implementation of finite element method and finite element analysis.</p><!--/ Abstract__block -->\u0000<h3>Findings</h3>\u0000<p>The presented data and diagrams from the realized investigation show that single phase synchronous motor with shaded pole stator has an improved characteristics in comparison with the initial single-phase SPIM. Finally, the third topology realized on the bases of the single-phase synchronous motor has the best performance characteristics due to the implementation of soft magnetic material in the realization of the stator poles. The proposed methodology for structural and performance improvement of a single-phase SPIM topology opens the possibility for additive manufacturing application and significant cost reduction.</p><!--/ Abstract__block -->\u0000<h3>Originality/value</h3>\u0000<p>The focus was put on exploration the possibilities of the single-phase shaded pole stator topology for application in low-power and low-cost single phase self-starting motors. By simple replacement of the squirrel–cage rotor, in the reference AKO-16 motor, with one-piece ferrite permanent magnet rotor, the self-starting single phase synchronous motor was derived. In the next step, owing to simplify the SPPM motor production process and manufacturing, the stator poles instead of iron steel lamination were made of soft composite material Somaloy®. It opens the possibility for additive manufacturing application and significant cost reduction.</p><!--/ Abstract__block -->","PeriodicalId":501376,"journal":{"name":"COMPEL","volume":"33 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-06-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141517655","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Novel multi-material topology optimization method for multi-segmented permanent magnet motors","authors":"Yuki Hidaka","doi":"10.1108/compel-10-2023-0492","DOIUrl":"https://doi.org/10.1108/compel-10-2023-0492","url":null,"abstract":"<h3>Purpose</h3>\u0000<p>The purpose of this paper is to develop a novel optimization method that can improve the convergence of the multi-material topology.</p><!--/ Abstract__block -->\u0000<h3>Design/methodology/approach</h3>\u0000<p>In the proposed method, the optimization procedure is divided into two steps. In the first step, a global search is performed to probabilistically determine the material distribution of multi-segmented magnets. In the second step, the design area is limited and a local search is performed to determine the detailed magnet shape.</p><!--/ Abstract__block -->\u0000<h3>Findings</h3>\u0000<p>Because the first optimization step determines the arrangement of the magnetization vectors according to the rotational position, as in a <em>d</em>-axis flux concentration orientation, the optimal solution can be obtained with a smaller volume of magnets than the conventional method.</p><!--/ Abstract__block -->\u0000<h3>Research limitations/implications</h3>\u0000<p>Because a few case studies are considered in this paper, additional verification is required, such as application to different types of motors, to clarify scalability.</p><!--/ Abstract__block -->\u0000<h3>Practical implications</h3>\u0000<p>The solution obtained using the proposed method has a smaller amount of magnet than the solution obtained using the conventional method and can fully satisfy the average torque constraint.</p><!--/ Abstract__block -->\u0000<h3>Originality/value</h3>\u0000<p>The proposed method differs from the conventional method in that the material distribution is determined according to the probability function in the first optimization step.</p><!--/ Abstract__block -->","PeriodicalId":501376,"journal":{"name":"COMPEL","volume":"216 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-06-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141529322","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"A hybrid analysis method for calculating the cogging torque of consequent pole hybrid excitation synchronous machine","authors":"Jie Wu, Kang Wang, Ming Zhang, Leilei Guo, Yongpeng Shen, Mingjie Wang, Jitao Zhang, Vaclav Snasel","doi":"10.1108/compel-08-2023-0366","DOIUrl":"https://doi.org/10.1108/compel-08-2023-0366","url":null,"abstract":"<h3>Purpose</h3>\u0000<p>When solving the cogging torque of complex electromagnetic structures, such as consequent pole hybrid excitation synchronous (CPHES) machine, traditional methods have a huge computational complexity. The notable feature of CPHES machine is the symmetric range of field-strengthening and field-weakening, but this type of machine is destined to be equipped with a complex electromagnetic structure. The purpose of this paper is to propose a hybrid analysis method to quickly and accurately solve the cogging torque of complex 3D electromagnetic structure, which is applicable to CPHES machine with different magnetic pole shapings.</p><!--/ Abstract__block -->\u0000<h3>Design/methodology/approach</h3>\u0000<p>In this paper, a hybrid method for calculating the cogging torque of CPHES machine is proposed, which considers three commonly used pole shapings. Firstly, through magnetic field analysis, the complex 3D finite element analysis (FEA) is simplified to 2D field computing. Secondly, the discretization method is used to obtain the distribution of permeance and permeance differential along the circumference of the air-gap, taking into account the effect of slots. Finally, the cogging torque of the whole motor is obtained by using the idea of modular calculation and the symmetry of the rotor structure.</p><!--/ Abstract__block -->\u0000<h3>Findings</h3>\u0000<p>This method is applicable to different pole shapings. The experimental results show that the proposed method is consistent with 3D FEA and experimental measured results, and the average calculation time is reduced from 8 h to 4 min.</p><!--/ Abstract__block -->\u0000<h3>Originality/value</h3>\u0000<p>This paper proposes a new concept for calculating cogging torque, which is a hybrid calculation of dimension reduction and discretization modules. Based on magnetic field analysis, the 3D problem is simplified into a 2D issue, reducing computational complexity. Based on the symmetry of the machine structure, a modeling method for discretized analytical models is proposed to calculate the cogging torque of the machine.</p><!--/ Abstract__block -->","PeriodicalId":501376,"journal":{"name":"COMPEL","volume":"14 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-06-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141506171","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Non-linear impedance boundary condition from linear piecewise B-H curve applied to induction heating systems","authors":"José Ortega, Óscar Lahuerta, Claudio Carretero, Juan Pablo Martínez, Jesús Acero","doi":"10.1108/compel-09-2023-0428","DOIUrl":"https://doi.org/10.1108/compel-09-2023-0428","url":null,"abstract":"<h3>Purpose</h3>\u0000<p>This paper aims to apply the non-linear impedance boundary condition (IBC) for a linear piecewise B–H curve in frequency domain simulations to find the equivalent impedance of a simple induction heating system model.</p><!--/ Abstract__block -->\u0000<h3>Design/methodology/approach</h3>\u0000<p>An electromagnetic description of the inductor system is performed to substitute the effects of the induction load, for a mathematical condition, the so-called IBC. This is suitable to be used in electromagnetic systems involving high conductive materials at medium frequencies, as it occurs in an induction heating system.</p><!--/ Abstract__block -->\u0000<h3>Findings</h3>\u0000<p>A reduction of the computational cost of electromagnetic simulation through the application of the IBC. The model based on linear piecewise B–H curve simplifies the electromagnetic description, and it can facilitate the identification of the induction load characteristics from experimental measurements.</p><!--/ Abstract__block -->\u0000<h3>Practical implications</h3>\u0000<p>This work is performed to assess the feasibility of using the non-linear boundary impedance condition of materials with linear piecewise B–H curve to simulate in the frequency domain with a reduced computational cost compared to time domain simulations.</p><!--/ Abstract__block -->\u0000<h3>Originality/value</h3>\u0000<p>In this paper, the use of the non-linear boundary impedance condition to describe materials with B–H curve by segments, which can approximate any dependence without hysteresis, has been studied. The results are compared with computationally more expensive time domain simulations.</p><!--/ Abstract__block -->","PeriodicalId":501376,"journal":{"name":"COMPEL","volume":"38 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-06-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141506172","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Lorentz force-based assessment of the torque production of TFPM machines","authors":"Ahmed Masmoudi","doi":"10.1108/compel-09-2023-0452","DOIUrl":"https://doi.org/10.1108/compel-09-2023-0452","url":null,"abstract":"<h3>Purpose</h3>\u0000<p>The purpose of this paper is to introduce an aid for teaching transverse flux permanent magnet machines (TFPMs) with emphasis on their torque production.</p><!--/ Abstract__block -->\u0000<h3>Design/methodology/approach</h3>\u0000<p>The Lorentz force law is applied to fictitious current loops emulating the permanent magnets (PMs) mounted on the rotor according to different arrangements; the air gap flux density is created by the armature current.</p><!--/ Abstract__block -->\u0000<h3>Findings</h3>\u0000<p>Implemented in a master lecture on special AC machines, the proposed approach has revealed a renewed interest in electromagnetic fundamentals for pedagogical purposes. It makes simple the explanation of the principle of operation of a class of AC machines reputed by the complexity of their magnetic circuits. The latter incorporates axially stacked decoupled sub-circuits, one per phase generating alternating magnetic fields. More specifically, there is common air gap, shared by the machine phases, in which a rotating magnetic field is created by the superposition of the PM contribution and the armature one.</p><!--/ Abstract__block -->\u0000<h3>Research limitations/implications</h3>\u0000<p>Accounting for the complexity of the magnetic circuits and the three-dimensional (3D) flux paths characterizing TFPMs, a 3D finite element analysis (FEA) is required for the validation of the analytical predictions. Nevertheless, such a 3D FEA validation is far from being obvious to be carried on within a master lecture.</p><!--/ Abstract__block -->\u0000<h3>Originality/value</h3>\u0000<p>While the basis of Lorentz forces resulting from fictitious current loops emulating PMs has been considered in some referenced papers, its simple and pedagogical application to assess the torque production of several TFPM concepts represents the added value of the present paper.</p><!--/ Abstract__block -->","PeriodicalId":501376,"journal":{"name":"COMPEL","volume":"31 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-06-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141529323","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Magnetostatic analysis by BEM for multiply connected problem","authors":"Kazuhisa Ishibashi, Zoran Andjelic, Christian Lage, Paolo Di Barba","doi":"10.1108/compel-11-2023-0577","DOIUrl":"https://doi.org/10.1108/compel-11-2023-0577","url":null,"abstract":"<h3>Purpose</h3>\u0000<p>The purpose of this study is to demonstrate the novel approach in treating multiply connected problems in magnetostatic.</p><!--/ Abstract__block -->\u0000<h3>Design/methodology/approach</h3>\u0000<p>The new double layer approach (DLA) to be proposed is based on the use of the exciting double layer on the cut-surface. Applying Ampere’s circuital law to the circuital path along a toroidal core of M–C model, this paper derives unified exciting potential (UEP) from the common exciting potential. The UEP is applicable to the simply or M–C analysis. To check the effectiveness of the UEP, this paper analyze typical M–C problems and compares the results with those of other benchmark problems and also those obtained by surface charge method (SCM). Because the SCM encounters a cancellation error, this paper overcomes this problem by using the concept of direct boundary element method (BEM).</p><!--/ Abstract__block -->\u0000<h3>Findings</h3>\u0000<p>Using the improved DLA, this paper analyzed a typical multiply connected model and compared the results with those of the SCM, which has been improved to overcome cancellation errors. This paper has confirmed that the results obtained by the improved DLA are the same as those obtained by the improved SCM and Steklov–Poincaré operator formulation, tested at the well-known benchmark problems given in Andjelic <em>et al.</em> (2010). From these results, this paper concluded that the Improved DLA works well and that the improved SCM becomes available for analyzing both the simply and multiply connected problems.</p><!--/ Abstract__block -->\u0000<h3>Originality/value</h3>\u0000<p>Expanding a concept of the exciting double layer on the cut-surface, this paper improve the DLA to analyze the M–C problems. Applying Ampere’s circuital law to the full circuital path along the toroidal core of M–C problem, this paper derive UEP from the original exciting potential to get the governing BIE. The BIE is applicable to either simply or multiply connected analysis.</p><!--/ Abstract__block -->","PeriodicalId":501376,"journal":{"name":"COMPEL","volume":"24 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-06-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141506173","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Influence of welding-induced mechanical stress on the electromagnetic properties of magnetic lamination","authors":"David Ukwungwu, Sobhan Emadmostoufi, Uwe Reisgen, Kay Hameyer","doi":"10.1108/compel-11-2023-0561","DOIUrl":"https://doi.org/10.1108/compel-11-2023-0561","url":null,"abstract":"<h3>Purpose</h3>\u0000<p>This paper aims to analyze the influence of welding-induced mechanical stress of a magnetic core material on the performance behavior of a permanent magnet excited synchronous machine (PMSM). Welding, interlocking, clinching and the use of adhesives are state-of-the-art packaging technologies used in the manufacturing of electrical machines. However, the packaging processes degrade the electromagnetic properties of the electric steel sheets, thereby decreasing the performance and achievable range of the electric vehicle.</p><!--/ Abstract__block -->\u0000<h3>Design/methodology/approach</h3>\u0000<p>In this paper, an approach that maps the local changes in magnetic properties due to welding induced stress with the stress values is developed. The welding process induces internal stress inside the steel sheet due to the diffusion of thermal energy into the sheets. Other effects are the changes in the micro structures of the steel sheets (grain sizes). These induced mechanical stresses lead to significant deterioration of the electromagnetic properties. They also lead to an increase in iron loss attributed to steel lamination.</p><!--/ Abstract__block -->\u0000<h3>Findings</h3>\u0000<p>A low speed (city), a high-speed (highway) and WLTC-c3 driving cycle will be used to analyze the effects of the induced stresses on the machine efficiency at the different operating conditions. A high-speed PMSM with a maximum speed of 26,000 min⁻¹ and maximum torque of 130 Nm is designed for this study.</p><!--/ Abstract__block -->\u0000<h3>Originality/value</h3>\u0000<p>The value of this study is in the development of a local varying modeling approach that analyses the influence of weld-induced stress on the performance of electrical machines. Its originality is evident in the mapping methodology. This will enable an application dependent improvement possibilities due to the understanding of the impact of weld-induced stress on the electromagnetic properties of weld-packaged core.</p><!--/ Abstract__block -->","PeriodicalId":501376,"journal":{"name":"COMPEL","volume":"30 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-06-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141258959","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Galerkin-FEM approach for dynamic recovering of the plate profile in electrostatic MEMS with fringing field","authors":"Mario Versaci, Giovanni Angiulli, Luisa Angela Fattorusso, Paolo Di Barba, Alessandra Jannelli","doi":"10.1108/compel-11-2023-0556","DOIUrl":"https://doi.org/10.1108/compel-11-2023-0556","url":null,"abstract":"<h3>Purpose</h3>\u0000<p>Based on previous results of the existence, uniqueness, and regularity conditions for a continuous dynamic model for a parallel-plate electrostatic micro-electron-mechanical-systems with the fringing field, the purpose of this paper concerns a Galerkin-FEM procedure for deformable element deflection recovery. The deflection profiles are reconstructed by assigning the dielectric properties of the moving element. Furthermore, the device’s use conditions and the deformable element’s mechanical stresses are presented and discussed.</p><!--/ Abstract__block -->\u0000<h3>Design/methodology/approach</h3>\u0000<p>The Galerkin-FEM approach is based on weighted residuals, where the integrals appearing in the solution equation have been solved using the Crank–Nicolson algorithm.</p><!--/ Abstract__block -->\u0000<h3>Findings</h3>\u0000<p>Based on the connection between the fringing field and the electrostatic force, the proposed approach reconstructs the deflection of the deformable element, satisfying the conditions of existence, uniqueness and regularity. The influence of the electromechanical properties of the deformable plate on the method has also been considered and evaluated.</p><!--/ Abstract__block -->\u0000<h3>Research limitations/implications</h3>\u0000<p>The developed analytical model focused on a rectangular geometry.</p><!--/ Abstract__block -->\u0000<h3>Practical implications</h3>\u0000<p>The device studied is suitable for industrial and biomedical applications.</p><!--/ Abstract__block -->\u0000<h3>Originality/value</h3>\u0000<p>This paper proposed numerical approach characterized by low CPU time enables the creation of virtual prototypes that can be analyzed with significant cost reduction and increased productivity.</p><!--/ Abstract__block -->","PeriodicalId":501376,"journal":{"name":"COMPEL","volume":"205 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-05-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141168157","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}