Comparative Analysis of Mathematical Models of Penstock Dynamics at Hydropower Plants

Janevska, Gordana and Panovski, Sotir and Dimitrieska, Cvete (2018) Comparative Analysis of Mathematical Models of Penstock Dynamics at Hydropower Plants. International Journal of Scientific & Engineering Research, 9 (10). pp. 652-657. ISSN 2229-5518

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Official URL: https://ijser.org/

Abstract

The paper discusses mathematical modeling of the dynamics of hydraulic circuit (penstock pipe) in hydropower plants. Mathematical models of the hydraulic system (pipeline) in hydropower plants differ in their complexity depending on the assumptions introduced during the model development. Which mathematical model will be applied depends on the specific purpose, as well as on the specifically considered hydropower plant. The paper presents a general nonlinear mathematical model of the penstock pipe, which includes two basic equations that describe the transient phenomena of fluid flow (equation of motion and continuity equation). It also considers the simplified mathematical models in which elastic water column theory, as well as non-elastic water column theory is used. In addition, a simulation scheme for models comparison is presented, and the differences in the dynamics covered by separate mathematical models have been analyzed on the basis of simulation results.

Item Type: Article
Subjects: Scientific Fields (Frascati) > Engineering and Technology > Mechanical engineering
Divisions: Faculty of Technical Sciences
Depositing User: Users 389 not found.
Date Deposited: 05 Nov 2018 17:43
Last Modified: 05 Nov 2018 17:43
URI: http://eprints.uklo.edu.mk/id/eprint/1467

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