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Title:Derivation of analytical expressions for fast calculation of resistance spot welding system currents
Authors:ID Brezovnik, Robert (Author)
ID Ritonja, Jožef (Author)
Files:.pdf mathematics-12-02454-v2.pdf (6,72 MB)
MD5: DB7EC7EBF4B840BE31BB95E12C0C9BCD
 
Language:English
Work type:Article
Typology:1.01 - Original Scientific Article
Organization:FERI - Faculty of Electrical Engineering and Computer Science
Abstract:The paper deals with the dynamics of a resistance spot welding system. At the core of this system is a transformer, which is powered on the primary side by a pulse-width modulated inverter and has a full-wave output rectifier on the secondary side that provides a direct welding current. The entire system is nonlinear, due to magnetic hysteresis and electronics. The electronics prevent the current from flowing in all parts of the welding transformer at separate time intervals during the voltage supply period; therefore, not all the parameters affect the dynamic of currents and voltages all the time so the system is also time-variant. To design a high-performance welding system and to predict the maximum possible welding current at a specific load, it is necessary to know the welding and primary currents. The leakage inductances of the system can reduce the maximum welding current significantly at higher frequencies and the same load. There are several methods to determine these currents, each with its drawbacks. Measurements are time-consuming, using professional software is expensive and requires time to learn and free open-source software has many limitations and does not guarantee the correctness of the results. The article presents a new, fourth option—a theoretical derivation of analytical expressions that facilitate straightforward and rapid calculation of the welding and primary currents of the resistance spot welding system with symmetrical secondary branches. The derivation of the mathematical expressions is based on the equivalent circuits that describe the system in different operating states. The results of the numerical simulations confirmed the derived expressions completely.
Keywords:DC–DC converters, pulse width modulation (PWM), welding transformers, center-tapped transformers, full-wave rectifier, resistance spot welding (RSW), leakage inductance, analytical modeling, time-variant system, equivalent circuit
Submitted for review:04.08.2024
Article acceptance date:05.08.2024
Publication date:07.08.2024
Publisher:MDPI
Year of publishing:2024
Number of pages:25 str.
Numbering:Vol. 12, no. 2, [Article no.] 2454
PID:20.500.12556/DKUM-89733 New window
UDC:621.3
ISSN on article:2227-7390
COBISS.SI-ID:203923715 New window
DOI:10.3390/math12162454 New window
Copyright:© 2024 by the authors
Publication date in DKUM:08.08.2024
Views:77
Downloads:17
Metadata:XML DC-XML DC-RDF
Categories:Misc.
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Record is a part of a journal

Title:Mathematics
Shortened title:Mathematics
Publisher:MDPI AG
ISSN:2227-7390
COBISS.SI-ID:523267865 New window

Document is financed by a project

Funder:ARIS - Slovenian Research and Innovation Agency
Project number:P2-0115
Name:Vodenje elektromehanskih sistemov

Funder:ARIS - Slovenian Research and Innovation Agency
Project number:L2-7556
Name:Sinhroni usmernik za velike tokove v sistemih za uporovno točkovno varjenje

Secondary language

Language:Slovenian
Keywords:pretvorniki, transformerji, analitično modeliranje


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