Abstract
The paper presents a mathematical model of an electrical load node consisting of a power transformer and synchronous motors which rotate vertical pumps using non-rigid transmission. Modified principle of Hamilton–Ostrogradsky served as the basis for construction of the model. Using the developed mathematical model of the node, electromechanical transients in the object are studied. The resultant system of dynamic state nonlinear differential equations is introduced in the normal Cauchy’s form. Computer simulation findings are displayed by means of figures; they are under ongoing analysis.
Highlights
Electrotechnical systems for generation, transmission and consumption of energy occupy an important place in the national economy
The present paper proposes to use a similar procedure with an electrical load node including synchronous pump drives [1,2,3]
We introduce generalized coordinates for the Holonomic system, Fig.1, Fig. 2: for a power transformer: q(1-6) = Q1A, Q1B, Q1C, Q2A, Q2B, Q2C – charges in windings; for a synchronous motors: q(7-12), k = QSA,k, QSB,k, QSC,k, QRD,k, QRQ,k, QRf,k – charge in phase windings of a motor stator and rotor (D – damper winding along the d - axis, Q – along the q - axis, f – excitation winding); for a non-rigid transmission of the electric drives: q(13, 14), k = 1,k, 2,k – rotation angles of the motors rotor and pumps ; for a vertical pump: q15,k = Vk – liquid volume passing through each of the pumps
Summary
Electrotechnical systems for generation, transmission and consumption of energy occupy an important place in the national economy. A wide range of relevant electrical devices are in one way or another involved in energy delivery to a consumer (transformers, power transmission, lines, etc.). Many generally introduce an inductive load, which maximizes voltage of electrical grids. The issue of reactive power compensation is significant. There are many ways of reactive power compensation, starting with the use of compensating batteries and ending with a variety of semiconductor devices. Use of synchronous electric drives, especially of high and medium power, is an important and effective way of reactive energy compensation. The present paper proposes to use a similar procedure with an electrical load node including synchronous pump drives [1,2,3]
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