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SM ISO690:2012 BERZAN, Vladimir. Application of the finite difference method to calculation of dynamic processes in long electrical lines. In: Journal of Engineering Sciences, 2019, vol. 26, nr. 4, pp. 45-66. ISSN 2587-3474. DOI: https://doi.org/10.5281/zenodo.3591586 |
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Journal of Engineering Sciences | |||||
Volumul 26, Numărul 4 / 2019 / ISSN 2587-3474 /ISSNe 2587-3482 | |||||
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DOI: https://doi.org/10.5281/zenodo.3591586 | |||||
CZU: 621.315:514.764.2 | |||||
Pag. 45-66 | |||||
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The electrical circuit structure includes components with concentrated and distributed parameters. This creates difficulties in analyzing the dynamic processes, which are described by differential equations, including those with partial derivations. This paper deals with the process of applying equations with partial derivatives (telegraph equations) for the analysis of transient processes using the numerical method of uninterrupted computation. The initial and limit conditions needed to obtain numerical solutions of the transient processes in circuits with the complex variable load have been formulated. The original calculation procedure of the nonstationary regime has been proposed using the finite difference method. The calculation method uses the Riemann invariants. The electrical circuit with lumped parameters includes active resistance, inductance and capacitance. The relative units system was used for the analysis and the procedure of transformation the dimensional parameters among the nondimensional parameters into the relative units system was proposed. The continuous energy storage regime in the ideal inductance in the moving wave regime at the connection of the line end with distributed parameters at the ideal inductance (without losses) with lumped parameters was found. |
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Cuvinte-cheie circuit, concentrated and distributed parameters, initial and limit conditions, mathematical model, telegraph equations, circuit, parametri concentraţi și distribuiţi, ecuaţii telegrafice, condiţii iniţiale și limită, model matematic, metodă diferenţe finite |
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The continuous energy storage regime in the ideal inductance in the moving wave regime at the connection of the line end with distributed parameters at the ideal inductance (without losses) with lumped parameters was found.</p></cfAbstr> <cfAbstr cfLangCode='RO' cfTrans='o'><p>Structura circuitului electric include atât porţiuni cu parametri concentraţi, cât și cu parametri distribuiţi. Aceasta creează dificultăţi la analiza proceselor dinamice, care sunt descrise de ecuaţii diferenţiale, inclusiv, cu derivate parţiale. În prezenta lucrare se examinează procedeul de aplicare a ecuaţiilor cu derivate parţiale (ecuaţiile telegrafice) pentru analiza proceselor tranzitorii cu metoda numerică de calcul neîntrerupt. S-au formulat condiţiile iniţiale și de limită necesare pentru obţinerea soluţiilor numerice ale proceselor tranzitorii în circuite cu sarcină variabilă complexă. 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