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Keywords = Laplace circuit models

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20 pages, 3234 KB  
Article
Thermal Performance Enhancement in Pool Boiling on Copper Surfaces: Contact Angle and Surface Tension Analysis
by Robert Kaniowski and Sylwia Wciślik
Energies 2025, 18(17), 4471; https://doi.org/10.3390/en18174471 - 22 Aug 2025
Viewed by 839
Abstract
The electronics industry has significantly contributed to the development of efficient heat dissipation systems. One widely used technique is pool boiling, a simple method requiring no moving parts or complex structures. It enables the removal of large amounts of heat at relatively low [...] Read more.
The electronics industry has significantly contributed to the development of efficient heat dissipation systems. One widely used technique is pool boiling, a simple method requiring no moving parts or complex structures. It enables the removal of large amounts of heat at relatively low temperature differences. Enhancing pool boiling performance involves increasing the critical heat flux and the heat transfer coefficient, which defines how effectively a surface can transfer heat to a cooling fluid. This method is commonly applied in cooling electronic devices, digital circuits, and power systems. In this study, pool boiling at atmospheric pressure was investigated using copper surfaces. To validate the Rohsenow model used to estimate the maximum bubble departure diameter, a planimetric approach was applied. Measurements included average contact angle (CA), surface tension (σ), and droplet diameter for four working fluids: deionised water, ethanol, Novec-649, and FC-72. For each fluid, at least 15 measurements of CA and σ were conducted using the Young–Laplace model. This study provides a comprehensive analysis of the influence of contact angle and surface tension on nucleate boiling using four different fluids on copper surfaces. The novelty lies in combining high-precision experimental measurements with validation of the Rohsenow model, offering new insights into surface-fluid interactions critical for thermal system performance. Full article
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20 pages, 2957 KB  
Article
Magnetic Field Analytical Calculation of No-Load Electromagnetic Performance of Line-Start Explosion-Proof Permanent Magnet Synchronous Motors Considering Saturation Effect
by Jinhui Liu, Yunbo Shi, Yang Zheng and Minghui Wang
Actuators 2025, 14(6), 294; https://doi.org/10.3390/act14060294 - 17 Jun 2025
Viewed by 555
Abstract
This paper proposes an improved analytical model for a line-start explosion-proof magnet synchronous motor that considers the effect of magnetic bridge saturation. Under the condition of maintaining the air-gap magnetic field unchanged, and taking into account the topological structures of embedded magnets, squirrel [...] Read more.
This paper proposes an improved analytical model for a line-start explosion-proof magnet synchronous motor that considers the effect of magnetic bridge saturation. Under the condition of maintaining the air-gap magnetic field unchanged, and taking into account the topological structures of embedded magnets, squirrel cages, and rotor slot openings, a subdomain model partitioning method is systematically investigated. Considering the saturation effect of the magnetic bridge of the rotor, the equivalent magnetic circuit method was utilized to calculate the permeance of the saturated region. It not only facilitates the establishment of subdomain equations and corresponding subdomain boundary conditions, but also ensures the maximum accuracy of the equivalence by maintaining the topology of the rotor. The motor was partitioned into subdomains, and in conjunction with the boundary conditions, the Poisson equation and Laplace equation are solved to obtain the electromagnetic performance of the motor. The accuracy of the analytical model is verified through finite element analysis. The accuracy of the analytical model is verified through finite element analysis (FEA). Compared to the FEA, the improved model maintains high precision while reducing computational time and exhibiting better generality, making it suitable for the initial design and optimization of industrial motors. Full article
(This article belongs to the Section Actuators for Manufacturing Systems)
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18 pages, 5671 KB  
Article
A New Method for Anti-Interference Measurement of Capacitance Parameters of Long-Distance Transmission Lines Based on Harmonic Components
by Kaibai Wang, Zihao Zhang, Xingwei Xu, Zhijian Hu, Zhengwei Sun, Jiahao Tan, Xiang Yao and Jingfu Tian
Electronics 2024, 13(10), 1982; https://doi.org/10.3390/electronics13101982 - 18 May 2024
Viewed by 1482
Abstract
In the context of strong electromagnetic interference environments, the measurement accuracy of the capacitance parameters of transmission lines under power frequency measurement methods is not high. In this paper, a capacitance parameter anti-interference measurement method for transmission lines based on harmonic components is [...] Read more.
In the context of strong electromagnetic interference environments, the measurement accuracy of the capacitance parameters of transmission lines under power frequency measurement methods is not high. In this paper, a capacitance parameter anti-interference measurement method for transmission lines based on harmonic components is proposed to overcome the impact of power frequency interference. When applying this method, it is first necessary to open-circuit the end of the line under test. Subsequently, apply voltage to the head end of the tested line through a step-up transformer. Due to the saturation of the transformer during no-load conditions, a large number of harmonics are generated, primarily third harmonic. The third harmonic components of voltage and current on the tested transmission line are extracted using the Fourier transform. The proposed method addresses the influence of line distribution effects by establishing a distributed parameter model for long-distance transmission lines. The relevant transmission matrix for the zero-sequence distributed parameters is obtained by combining Laplace transform and similarity transform to solve the transmission line equations. Using synchronous measurement data from the third harmonic components of voltage and current at both ends of the transmission line, combined with the transmission matrix, this method accurately measures the zero-sequence capacitance parameters. The PSCAD/EMTDC simulation results and field test outcomes have demonstrated the feasibility and accuracy of the proposed method for measuring line capacitance parameters under strong electromagnetic interference. Full article
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19 pages, 3094 KB  
Article
Using the Exact Equivalent π-Circuit Model for Representing Three-Phase Transmission Lines Directly in the Time Domain
by Juan Paulo Robles Balestero, Jaimis Sajid Leon Colqui and Sérgio Kurokawa
Energies 2023, 16(20), 7192; https://doi.org/10.3390/en16207192 - 21 Oct 2023
Cited by 1 | Viewed by 3888
Abstract
This paper presents a novel three-phase transmission line model for electromagnetic transient simulations that are executed directly within the time domain. This model relies on distributed and frequency-dependent parameters, as well as employs modal transformation for its implementation. The single-phase model of the [...] Read more.
This paper presents a novel three-phase transmission line model for electromagnetic transient simulations that are executed directly within the time domain. This model relies on distributed and frequency-dependent parameters, as well as employs modal transformation for its implementation. The single-phase model of the exact equivalent π-circuit is utilized for each propagation mode. This model combines discrete components, such as resistors, inductors, and capacitors, to accurately emulate the transmission line behavior via linear circuit elements. This model can be seamlessly integrated into various electrical circuit simulation software, thus allowing easy utilization and incorporating time-varying elements to analyze transmission lines. The JMarti model, which comes by default in the Alternative Transient Program, and the numerical Laplace transform method implemented in MATLAB were utilized to validate the proposed solution across various scenarios. An advantage of this model is its independence from the prior calculation of travel time and its exemption from convolutions, inverse Laplace transforms, and Fourier transforms, thus streamlining the simulation process. Full article
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18 pages, 4708 KB  
Article
Integrated Circuit Design of Fractional-Order Chaotic Systems Optimized by Metaheuristics
by Martin Alejandro Valencia-Ponce, Astrid Maritza González-Zapata, Luis Gerardo de la Fraga, Carlos Sanchez-Lopez and Esteban Tlelo-Cuautle
Electronics 2023, 12(2), 413; https://doi.org/10.3390/electronics12020413 - 13 Jan 2023
Cited by 18 | Viewed by 2842
Abstract
Nowadays, a huge amount of research is done on introducing and implementing new fractional-order chaotic systems. In the majority of cases, the implementation is done using embedded hardware, and very seldom does it use integrated circuit (IC) technology. This is due to the [...] Read more.
Nowadays, a huge amount of research is done on introducing and implementing new fractional-order chaotic systems. In the majority of cases, the implementation is done using embedded hardware, and very seldom does it use integrated circuit (IC) technology. This is due to the lack of design automation tools ranging from the system level down to layout design. At the system level, the challenge is guaranteeing chaotic behavior by varying all parameters while optimizing dynamical characteristics, such as the Lyapunov spectrum and the Kaplan–Yorke dimension. Using embedded hardware, the implementation is straightforward, but one must perform a scaling process for IC design, in which the biases may be lower than 1 volt but the amplitudes of the state variables of the chaotic systems can have values higher than one. In this manner, this paper describes three levels of abstraction to design fractional-order chaotic systems: The first one shows the optimization of a case study, the mathematical model of the fractional-order Lorenz system to find the fractional-orders of the derivatives, and the coefficients that generate better chaotic behavior. The second level is the block description of a solution of the mathematical model, in which the fractional-order derivatives are approximated in the Laplace domain by several approximation methods. The third level shows the IC design using complementary metal–oxide–semiconductor (CMOS) technology. The transfer functions approximating the fractional-order derivatives are synthesized by active filters that are designed using operational transconductance amplifiers (OTAs). The OTAs are also used to design adders and subtractors, and the multiplication of variables is done by designing a CMOS four-quadrant multiplier. The paper shows that the simulation results scaling the mathematical model to have amplitudes lower than ±1 are in good agreement with the results using CMOS IC technology of 180 nm. Full article
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21 pages, 3936 KB  
Article
Application of a Machine Learning Algorithm for Evaluation of Stiff Fractional Modeling of Polytropic Gas Spheres and Electric Circuits
by Fawaz Khaled Alarfaj, Naveed Ahmad Khan, Muhammad Sulaiman and Abdullah M. Alomair
Symmetry 2022, 14(12), 2482; https://doi.org/10.3390/sym14122482 - 23 Nov 2022
Cited by 17 | Viewed by 2728
Abstract
Fractional polytropic gas sphere problems and electrical engineering models typically simulated with interconnected circuits have numerous applications in physical, astrophysical phenomena, and thermionic currents. Generally, most of these models are singular-nonlinear, symmetric, and include time delay, which has increased attention to them among [...] Read more.
Fractional polytropic gas sphere problems and electrical engineering models typically simulated with interconnected circuits have numerous applications in physical, astrophysical phenomena, and thermionic currents. Generally, most of these models are singular-nonlinear, symmetric, and include time delay, which has increased attention to them among researchers. In this work, we explored deep neural networks (DNNs) with an optimization algorithm to calculate the approximate solutions for nonlinear fractional differential equations (NFDEs). The target data-driven design of the DNN-LM algorithm was further implemented on the fractional models to study the rigorous impact and symmetry of different parameters on RL, RC circuits, and polytropic gas spheres. The targeted data generated from the analytical and numerical approaches in the literature for different cases were utilized by the deep neural networks to predict the numerical solutions by minimizing the differences in mean square error using the Levenberg–Marquardt algorithm. The numerical solutions obtained by the designed technique were contrasted with the multi-step reproducing kernel Hilbert space method (MS-RKM), Laplace transformation method (LTM), and Padé approximations. The results demonstrate the accuracy of the design technique as the DNN-LM algorithm overlaps with the actual results with minimum percentage absolute errors that lie between 108 and 1012. The extensive graphical and statistical analysis of the designed technique showed that the DNN-LM algorithm is dependable and facilitates the examination of higher-order nonlinear complex problems due to the flexibility of the DNN architecture and the effectiveness of the optimization procedure. Full article
(This article belongs to the Special Issue Trends in Fractional Modelling in Science and Innovative Technologies)
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11 pages, 1804 KB  
Article
Electrical Response Analysis of a Piezoelectric Energy Harvester Power Source Based on Electromechanical Parameters
by Irene Perez-Alfaro, Daniel Gil-Hernandez, Eduardo Hernando, Fernando Quero and Carlos Bernal
Electronics 2022, 11(22), 3697; https://doi.org/10.3390/electronics11223697 - 11 Nov 2022
Cited by 3 | Viewed by 2252
Abstract
A piezoelectric energy harvester generator is a device capable of transforming environmental mechanical energy into electrical energy. The piezoelectric electromechanical parameters determine the maximum electrical power which is able to be transferred to an electric load. In this research work, an exhaustive study [...] Read more.
A piezoelectric energy harvester generator is a device capable of transforming environmental mechanical energy into electrical energy. The piezoelectric electromechanical parameters determine the maximum electrical power which is able to be transferred to an electric load. In this research work, an exhaustive study of the electromechanical parameters related to the piezoelectric material is carried out, modeling them as components of an electrical circuit, in order to analyze their influence on the transmitted power. On the other hand, some electrical loads are simulated to determine different matrix scenarios for a model developed by state-space equations in the Laplace transform domain. The results obtained have allowed to know how the piezoelectric material properties and mechanical characteristics influence the electrical power output of the energy harvester generator and the energy transmission behavior for different electric loads. The conclusions show how the different electromechanical parameters are related to each other, and how their combination transforms the mechanical environmental energy into the required electrical energy. The novelty of this research is the presentation of a model capable of obtaining the optimized working point of the harvester, taking into account not only the electric loads and current demands but also the piezoelectric material parameters. Full article
(This article belongs to the Section Power Electronics)
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19 pages, 2447 KB  
Article
Analytical Solution for Transient Reactive Elements for DC-DC Converter Circuits
by Amr Marey, Mahajan Sagar Bhaskar, Dhafer Almakhles and Hala Mostafa
Electronics 2022, 11(19), 3121; https://doi.org/10.3390/electronics11193121 - 29 Sep 2022
Cited by 4 | Viewed by 2402
Abstract
This paper develops an analytical method for modeling the inductor currents and capacitor voltages (ICCV) of a generic DC-DC converter system. The purpose of the designed methodology is to propose a new generalized modeling technique for DC-DC converter systems that accurately models the [...] Read more.
This paper develops an analytical method for modeling the inductor currents and capacitor voltages (ICCV) of a generic DC-DC converter system. The purpose of the designed methodology is to propose a new generalized modeling technique for DC-DC converter systems that accurately models the transient behavior of those systems. The modeled converter is assumed to operate over some number of circuit stages. Each circuit stage can be separately modeled as a linear time-invariant (LTI) system that is solved through the uni-lateral Laplace transform. Furthermore, the initial conditions (ICs) of these LTI systems are related through different algebraic expressions and discrete-time difference equations that originate from the continuity of the ICCV with respect to time. These discrete-time difference equations are then solved with the uni-lateral Z-transform to determine the ICs of the ICCV at each switching period. The generalized theoretical analysis is applied to the study of the transient behavior of the buck-boost converter across various different circuit parameters. This analysis justified with laboratory experimentation of the buck-boost converter, and the transient behavior of the buck-boost converter is compared for each experimental parameter set. The experimental results and the theoretical analysis provide very similar results across the different converter parameters. Full article
(This article belongs to the Special Issue Power Converters and E-mobility)
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11 pages, 5784 KB  
Article
Application of a Fractional Transfer Function for Simulating the Eddy Currents Effect in Electrical Systems
by Volodymyr Moroz and Oleksandr Makarchuk
Energies 2022, 15(19), 7046; https://doi.org/10.3390/en15197046 - 25 Sep 2022
Cited by 1 | Viewed by 2018
Abstract
Some electrical devices contain a solid nonlaminated magnetic core as a component. In the case of variable magnetic flux, eddy currents arise in such a core, which should be taken into account for computer simulation if higher precision is needed. The fractional order [...] Read more.
Some electrical devices contain a solid nonlaminated magnetic core as a component. In the case of variable magnetic flux, eddy currents arise in such a core, which should be taken into account for computer simulation if higher precision is needed. The fractional order transfer function (FOTF) based on the simple traditional model of excitation circuit of a DC machine is proposed for eddy current simulation. This model is illustrated by mathematical (based on differential equations and the Laplace operator) and structural approaches to the excitation circuit of a common DC generator with a solid core. The skin effect for more precise simulation of eddy currents is also considered by means of fractional order transfer functions in the computer models. Magnetic saturation and hysteresis were not taken into account in this case. The proposed model is simple and ensures adequate accuracy, confirmed experimentally using the FOTF Toolbox for MATLAB and Simulink. This model is distinct and proposed for the fast and accurate computer simulation of eddy currents in electrical devices with a solid magnetic core. Full article
(This article belongs to the Special Issue Technical, Economic and Managerial Aspects of the Energy Transition)
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18 pages, 1297 KB  
Article
Equivalence Checking of System-Level and SPICE-Level Models of Linear Circuits
by Kemal Çağlar Coşkun, Muhammad Hassan and Rolf Drechsler
Chips 2022, 1(1), 54-71; https://doi.org/10.3390/chips1010006 - 13 Jun 2022
Cited by 3 | Viewed by 3322
Abstract
Due to the increasing complexity of analog circuits and their integration into System-on-Chips (SoC), the analog design and verification industry would greatly benefit from an expansion of system-level methodologies using SystemC AMS. These can provide a speed increase of over 100,000× in [...] Read more.
Due to the increasing complexity of analog circuits and their integration into System-on-Chips (SoC), the analog design and verification industry would greatly benefit from an expansion of system-level methodologies using SystemC AMS. These can provide a speed increase of over 100,000× in comparison to SPICE-level simulations and allow interoperability with digital tools at the system-level. However, a key barrier to the expansion of system-level tools for analog circuits is the lack of confidence in system-level models implemented in SystemC AMS. Functional equivalence of single Laplace Transfer Function (LTF) system-level models to respective SPICE-level models was successfully demonstrated recently. However, this is clearly not sufficient, as the complex systems comprise multiple LTF modules. In this article, we go beyond single LTF models, i.e., we develop a novel graph-based methodology to formally check equivalence between complex system-level and SPICE-level representations of Single-Input Single-Output (SISO) linear analog circuits, such as High-Pass Filters (HPF). To achieve this, first, we introduce a canonical representation in the form of a Signal-Flow Graph (SFG), which is used to functionally map the two representations from separate modeling levels. This canonical representation consists of the input and output nodes and a single edge between them with an LTF as its weight. Second, we create an SFG representation with linear graph modeling for SPICE-level models, whereas for system-level models we extract an SFG from the behavioral description. We then transform the SFG representations into the canonical representation by utilizing three graph manipulation techniques, namely node removal, parallel edge unification, and reflexive edge elimination. This allows us to establish functional equivalence between complex system-level models and SPICE-level models. We demonstrate the applicability of the proposed methodology by successfully applying it to complex circuits. Full article
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11 pages, 1404 KB  
Article
Laplace Transform for Finite Element Analysis of Electromagnetic Interferences in Underground Metallic Structures
by Andrea Cristofolini, Arturo Popoli, Leonardo Sandrolini, Giacomo Pierotti and Mattia Simonazzi
Appl. Sci. 2022, 12(2), 872; https://doi.org/10.3390/app12020872 - 15 Jan 2022
Cited by 5 | Viewed by 2568
Abstract
A numerical methodology is proposed for the calculation of transient electromagnetic interference induced by overhead high-voltage power lines in metallic structures buried in soil—pipelines for oil or gas transportation. A series of 2D finite element simulations was employed to sample the harmonic response [...] Read more.
A numerical methodology is proposed for the calculation of transient electromagnetic interference induced by overhead high-voltage power lines in metallic structures buried in soil—pipelines for oil or gas transportation. A series of 2D finite element simulations was employed to sample the harmonic response of a given geometry section. The numerical inverse Laplace transform of the results allowed obtaining the time domain evolution of the induced voltages and currents in the buried conductors, for any given condition of the power line. Full article
(This article belongs to the Special Issue Advanced Technologies in Electromagnetic Compatibility)
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4 pages, 846 KB  
Proceeding Paper
Analytical Subdomain Model for Double-Stator Permanent Magnet Synchronous Machine with Surface-Mounted Radial Magnetization
by Mohd Saufi Ahmad, Dahaman Ishak, Tiang Tow Leong and Mohd Rezal Mohamed
Eng. Proc. 2021, 12(1), 37; https://doi.org/10.3390/engproc2021012037 - 27 Dec 2021
Cited by 5 | Viewed by 4654
Abstract
This paper proposes an analytical subdomain model for predicting magnetic field distributions in a three-phase double-stator permanent magnet synchronous machine (DS-PMSM) during open-circuit and on-load conditions. The geometric structure of DS-PMSM is quite challenging since the stator cores are located in the outer [...] Read more.
This paper proposes an analytical subdomain model for predicting magnetic field distributions in a three-phase double-stator permanent magnet synchronous machine (DS-PMSM) during open-circuit and on-load conditions. The geometric structure of DS-PMSM is quite challenging since the stator cores are located in the outer and inner parts of the motor, while the rotor magnets are placed between these two stators. Parameters that influence the motor performance in DS-PMSM include stator outer radius, stator inner radius, magnet thickness, magnet arc, slot opening, outer and inner airgap thickness and the number of winding turns. The analytical subdomain model proposed in this paper, which can accurately predict the performances of DS-PMSM with less computational time, has an excellent advantage as a rapid design tool. The model is initially generated using the separation of variables technique in four subdomains, namely, outer airgap, outer magnet, inner magnet, and inner airgap, based on Laplace’s and Poisson’s equations in polar coordinates. The field solutions in each subdomain are derived by applying the appropriate boundary and interface conditions. Furthermore, finite element analysis (FEA) is used to validate the analytical results in fractional DS-PMSM with a different number of slots between outer and inner stators and a non-overlapping winding configuration. The electromagnetic performances that have been evaluated are the slotted airgap flux density, back-emf and output torque. The results demonstrate that the proposed analytical model is able to predict the magnetic field distributions accurately in DS-PMSM. Full article
(This article belongs to the Proceedings of The 1st International Conference on Energy, Power and Environment)
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17 pages, 3924 KB  
Article
Description of Acid Battery Operating Parameters
by Józef Pszczółkowski
Energies 2021, 14(21), 7212; https://doi.org/10.3390/en14217212 - 2 Nov 2021
Cited by 1 | Viewed by 2051
Abstract
In this paper, the operating principles of the acid battery and its features are discussed. The results of voltage tests containing the measurements conducted at the terminals of a loaded battery under constant load conditions, and dependent on time, are presented. The article [...] Read more.
In this paper, the operating principles of the acid battery and its features are discussed. The results of voltage tests containing the measurements conducted at the terminals of a loaded battery under constant load conditions, and dependent on time, are presented. The article depicts the principles of the development of electric models of acid batteries and their various descriptions. The principles for processing the results for the purpose of the determination and description of the battery model are characterized. The characteristics under stationary and non-stationary conditions are specified using glued functions and linear combinations of exponential functions, and the electrical parameters of the battery are determined as the components of the circuit, i.e., its electromotive force, resistance, and capacity. The dynamic characteristic of the battery in the form of transmittance was determined, using the Laplace transform. Possible uses of the crankshaft driving signals as diagnostic signals of the battery, electric starter, and internal combustion engine are also indicated. Full article
(This article belongs to the Special Issue Energy Transfer in Alternative Vehicles)
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20 pages, 13936 KB  
Article
Comprehensive Analysis of a High-Power Density Phase-Shift Full Bridge Converter Highlighting the Effects of the Parasitic Capacitances
by Dorin Petreus, Radu Etz, Toma Patarau and Ionut Ciocan
Energies 2020, 13(6), 1439; https://doi.org/10.3390/en13061439 - 19 Mar 2020
Cited by 7 | Viewed by 4220
Abstract
A phase-shift full bridge converter is analyzed in detail in continuous conduction mode for one switching cycle for both the leading and lagging legs of the primary bridge. The objective of the study is to determine how the stray capacitance of the transformer, [...] Read more.
A phase-shift full bridge converter is analyzed in detail in continuous conduction mode for one switching cycle for both the leading and lagging legs of the primary bridge. The objective of the study is to determine how the stray capacitance of the transformer, and the capacitances of the diodes in the bridge rectifier affect the converter functionality. Starting from some experimental results, Laplace equivalent circuit models and describing equations are derived for each significant time interval during the switching cycle and are validated through simulations and experimental measurements. The resulting equations are of great interest in the high-power density domain because they can be used to design a clamping circuit for the output rectifier bridge accurately. Full article
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16 pages, 2077 KB  
Article
Direct Consideration of Eddy Current Losses in Laminated Magnetic Cores in Finite Element Method (FEM) Calculations Using the Laplace Transform
by Marek Gołębiowski, Lesław Gołębiowski, Andrzej Smoleń and Damian Mazur
Energies 2020, 13(5), 1174; https://doi.org/10.3390/en13051174 - 4 Mar 2020
Cited by 5 | Viewed by 3765
Abstract
The following article presents a computation procedure that enables us to simulate the dynamic states of electric machines with a laminated magnetic core, with direct consideration of the eddy current losses. The presented approach enables a significant reduction of the simulation process computational [...] Read more.
The following article presents a computation procedure that enables us to simulate the dynamic states of electric machines with a laminated magnetic core, with direct consideration of the eddy current losses. The presented approach enables a significant reduction of the simulation process computational complexity. The verification of the obtained data correctness is based on a detailed balance of energy and power in the investigated system. The correctness of the obtained results was also confirmed by comparing them with the results included in norms that describe the losses in laminated sheets. The presented approach is based on expressing the equivalent permeability of transformer metal sheets by using RC or RL circuits. The impedances of these circuits are treated as the transmittance of Infinite Impulse Response filters (IIR) of the Laplace s variable. In this form they are implemented in direct calculations of the dynamics of electric machines based on field-circuital models, using the Finite Element Method (FEM). In this way, we present the method of including eddy current losses in laminated metal circuits of chokes or transformers, during calculations using the finite element method, with the IIR filter in the domain of the variable s of the Laplace transform. Eddy current losses are directly included in the calculation process. Therefore, they have a direct impact on the transient state waveforms. However, the use of the Laplace variable s caused an excessive increase in the number of state variables, and the overall computational efficiency of the presented method is sufficiently low so as to be used in the simulation process of electrical machine dynamic states with a relatively large number of elements in the FE Model. Full article
(This article belongs to the Special Issue Applied Energy System Modeling 2018)
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