2020
DOI: 10.1088/1755-1315/614/1/012039
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Criteria for the existence of established modes of power systems

Abstract: This article considers the criteria for the existence of established modes of power systems. Nonlinear nodal equations of steady-state modes are presented, which have many solutions or do not have any physically realizable solutions. Criteria for the existence of solutions are given based on derivatives of power losses depending on the parameters of the power system modes. Equivalent circuit of the electrical system was performed using the South-Western MEN (MAIN ELECTRIC NETWORKS). The paper highlights the re… Show more

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Cited by 5 publications
(3 citation statements)
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“…𝐸𝐸 𝐻𝐻𝐸𝐸 = 𝐸𝐸 𝑚𝑚.𝑖𝑖 𝑖𝑖 𝑚𝑚.𝑖𝑖 + 𝐸𝐸 𝑅𝑅𝐸𝐸𝑅𝑅 (5) here, 𝐸𝐸 𝐸𝐸𝐸𝐸 , 𝐸𝐸 𝐻𝐻𝐸𝐸 -consumption of electrical and thermal energy [13]. Since renewable energy sources are considered as the main source of electricity for agriculture and water supply, the amount of electricity required by the consumer (Qi) is selected from several energy sources with the greatest potential:…”
Section: Methodsmentioning
confidence: 99%
“…𝐸𝐸 𝐻𝐻𝐸𝐸 = 𝐸𝐸 𝑚𝑚.𝑖𝑖 𝑖𝑖 𝑚𝑚.𝑖𝑖 + 𝐸𝐸 𝑅𝑅𝐸𝐸𝑅𝑅 (5) here, 𝐸𝐸 𝐸𝐸𝐸𝐸 , 𝐸𝐸 𝐻𝐻𝐸𝐸 -consumption of electrical and thermal energy [13]. Since renewable energy sources are considered as the main source of electricity for agriculture and water supply, the amount of electricity required by the consumer (Qi) is selected from several energy sources with the greatest potential:…”
Section: Methodsmentioning
confidence: 99%
“…The high cost of electric generators operating at low rotation speeds does not allow the use of such low-frequency hydraulic turbines on a large scale. Therefore, in order to increase the coefficient of water energy use, counter-rotor hydraulic units were created in the works [1,2,3,4]. These hydraulic units are equipped with two successive impellers located in one vertical pipe, and the water entering the first impeller from the first guide vane rotates it, and through the following guide vanes enters the second impeller and causes it to rotate.…”
Section: Introductionmentioning
confidence: 99%
“…One of the most important challenges in the world today is related to sustainable energy production, reducing the use of fossil fuels and preventing the increase in pollution and carbon dioxide emissions. Therefore, researchers are encouraged to conduct research on the use of clean and renewable alternative energy sources such as hydro, solar, wind and geothermal energy [1][2][3][4][5][6][7][8]. The use of water energy has been one of the most important sources of electricity generation for several hundred years, first it was used to obtain mechanical energy for mills, and then to generate electricity [9,10].…”
Section: Introductionmentioning
confidence: 99%