Mathematical model of a part of an opened extra-high voltage electrical grid

Abstract

In the paper, based on interdisciplinary approaches to modeling, a mathematical model of a part of an opened extra-high voltage electrical grid, which key elements are two long power transmission lines with distributed constants is presented. Within this framework the analysis of transient processes in power transmission lines in a single-line arrangement is carried out. The results of transient processes are displayed by means of figures; they are under ongoing research.

Voltage Stabilisation of a Drive System Including a Power Transformer and Asynchronous and Synchronous Motors of Susceptible Motion Transmission

“…Mathematical models of the drive system elements will be presented on the basis of Figures 1 and 2 and of [9,10,21,[28][29][30][31][32]. A general interdisciplinary theory modifies the Hamilton-Ostrogradsky principle by expanding the Lagrangian with two components: Mathematical models of the drive system elements will be presented on the basis of Figures 1 and 2 and of [9,10,21,[28][29][30][31][32].…”

“…Mathematical models of the drive system elements will be presented on the basis of Figures 1 and 2 and of [9,10,21,[28][29][30][31][32]. A general interdisciplinary theory modifies the Hamilton-Ostrogradsky principle by expanding the Lagrangian with two components: Mathematical models of the drive system elements will be presented on the basis of Figures 1 and 2 and of [9,10,21,[28][29][30][31][32]. A general interdisciplinary theory modifies the Hamilton-Ostrogradsky principle by expanding the Lagrangian with two components: energy of internal and external dissipation and energy of external non-potential forces is applied to mathematical modelling of the drive system's electric elements.…”

“…Motors in pumping systems are supplied from power transformer secondary windings. The way the power supply grid will respond to drive system processes and quality of electricity needs to be analysed and described, in particular, to what value supply voltage of pump drives will reduce, especially in transient states [9][10][11].…”

“…Figure 2 contains the following nomenclature: M EM -electromagnetic torque of the drive motor, M P -pump's hydraulic torque, SP 1 -flexible coupling between the rotor and motion transmission long shaft (the first coupling), SP 2 -flexible coupling between the motion transmission long shaft and the vertical pump's input rotor (the second coupling), C 1,2 , ν 1,2 -rigidity and leakage coefficients of the first coupling, C N−1,N , ν N−1,N -rigidity and leakage coefficients of the second coupling, k T -value of the reducer's gear.Mathematical models of the drive system elements will be presented on the basis of Figures1 and 2and of[9,10,21,[28][29][30][31][32]. A general interdisciplinary theory modifies the Hamilton-Ostrogradsky principle by expanding the Lagrangian with two components: energy of internal and external dissipation and energy of external non-potential forces is applied to mathematical modelling of the drive system's electric elements.…”

On the using the differential schemes to transport equation with drain in grid modeling

“…Математическая модель участка энергосистемы рассмотрена в [Lis et al, 2019]. Для описания процессов в энергосети использовалось телеграфное уравнение с учетом диссипативных слагаемых.…”