scholarly journals Determination of Mathematical Model of Electric Power System Using Linear Graph

1996 ◽  
Vol 1 (1) ◽  
pp. 134-139
Author(s):  
Adem Ünal
Keyword(s):  
Mathematical Model ◽  
Power System ◽  
Electric Power ◽  
Electric Power System ◽  
Linear Graph

All-mode Validation of Calculations in the Analysis of Electric Power

2020 ◽  
Vol 11 (11) ◽  
pp. 28-37
Author(s):  
Aleksey A. SUVOROV ◽  
◽  
Alexander S. GUSEV ◽  
Mikhail V. ANDREEV ◽  
Alisher B. ASKAROV ◽  
...  
Keyword(s):  
Mathematical Model ◽  
Differential Equations ◽  
Power System ◽  
Electric Power ◽  
Field Data ◽  
Transient Stability ◽  
Experimental Studies ◽  
Electric Power System ◽  
Adequate Model ◽  
Simulation Results

The transient stability is the main condition for reliability and survivability operation of electric power system. The transient stability analysis is an extremely complex problem. It uses the results of numerical integration of differential equations that form a mathematical model of the power system. However, the mathematical model of a large-scale power system contains a rigid nonlinear system of extremely high-order differential equations. Such system cannot be solved analytically. The simplifications and limitations are used for improving the conditionality of the power system mathematical model in time-domain simulation. It decreases the reliability and accuracy of the simulation results. In this regard, it becomes necessary to validate them. The most reliable way of validation is to compare simulation results with field data. However, it is not always possible to receive the necessary amount of field data due to many power system states and a large amount of disturbances leading to instability. The paper proposes an alternative approach for validation: using an adequate model standard instead of field data. The prototype of Hybrid Real Time Power System Simulator having the necessary properties and capabilities has been used as the reference model. The appropriate sequence of actions has been developed for validation. The adequacy of proposed approach is illustrated by the fragments of the experimental studies

scholarly journals On the placing of synchronized vector measurements in network 110 - 330 kV for identification of the Kaliningrad region power system regime

2018 ◽  
Vol 58 ◽  
pp. 01005
Author(s):  
Magomed Gadzhiev ◽  
Eugenia Gulevich ◽  
Vyacheslav Korobka ◽  
Vladimir Ryabchenko ◽  
Yuriy Sharov
Keyword(s):  
Genetic Algorithm ◽  
Mathematical Model ◽  
Power System ◽  
Electric Power ◽  
Electric Power System ◽  
Phasor Measurement Unit ◽  
Measurement Unit ◽  
Method Of Solution ◽  
Kaliningrad Region ◽  
The Mathematical Model

A solution is presented for the problem of placing phasor measurement unit to identify the mathematical model of the electric power system in the state space. The criterion for complete observability of the Kalman dynamic system is taken as a basis. As a method of solution, we use the canonical genetic algorithm. The complete observability of the power system is ensured by the application of the observability rule in the form of a recursive test of observability. The proposed approach is demonstrated by the arrangement of synchronized vector meters in the Kaliningrad region power system.

scholarly journals STUDY OF TRANSIENT AND STATIONARY OPERATION MODES OF SYNCHRONOUS SYSTEM CONSISTING IN TWO MACHINES

2017 ◽  
Vol 60 (3) ◽  
pp. 228-236
Author(s):  
V. S. Safaryan
Keyword(s):  
Mathematical Model ◽  
Steady State ◽  
Power System ◽  
Mathematical Models ◽  
Coordinate System ◽  
Electric Power ◽  
Electric Power System ◽  
Machine System ◽  
Transient Regimes ◽  
The Mathematical Model

The solution of the problem of reliable functioning of an electric power system (EPS) in steady-state and transient regimes, prevention of EPS transition into asynchronous regime, maintenance and restoration of stability of post-emergency processes is based on formation and realization of mathematical models of an EPS processes. During the functioning of electric power system in asynchronous regime, besides the main frequencies, the currents and voltages include harmonic components, the frequencies of which are multiple of the difference of main frequencies. At the two-frequency asynchronous regime the electric power system is being made equivalent in a form of a two-machine system, functioning for a generalized load. In the article mathematical models of transient process of a two-machine system in natural form and in d–q coordinate system are presented. The mathematical model of two-machine system is considered in case of two windings of excitement at the rotors. Also, in the article varieties of mathematical models of EPS transient regimes (trivial, simple, complete) are presented. Transient process of a synchronous two-machine system is described by the complete model. The quality of transient processes of a synchronous machine depends on the number of rotor excitation windings. When there are two excitation windings on the rotor (dual system of excitation), the mathematical model of electromagnetic transient processes of a synchronous machine is represented in a complex form, i.e. in coordinate system d, q, the current of rotor being represented by a generalized vector. In asynchronous operation of a synchronous two-machine system with two excitation windings on the rotor the current and voltage systems include only harmonics of two frequencies. The mathematical model of synchronous steady-state process of a two-machine system is also provided, and the steady-state regimes with different structures of initial information are considered.

scholarly journals Determination of Generator Capability Curve using Modified-Single Machine to Infinite Bus (M-SMIB) System Approach

2020 ◽  
Vol 188 ◽  
pp. 00022
Author(s):  
Rusilawati Rusilawati ◽  
Irrine Budi Sulistiawati ◽  
Naoto Yorino
Keyword(s):  
Power System ◽  
Electric Power ◽  
Real Time ◽  
Single Machine ◽  
System Approach ◽  
Electric Power System ◽  
Generator Unit ◽  
Load Location ◽  
Maximum Limit

The capability curve for each generator unit is usually provided by the generator manufacturer. But in practice, the generator can reach its maximum generation limit before reaching the maximum limit on the generator capability curve provided by the generator manufacturer. This might occur because of the load location is far from the generator or the varying of the loading value so that the maximum generation limit is smaller than the value given on the generator capability curve of the manufacturer. In this paper, the generator capability curve is determined using the Modified Single Machine to Infinite Bus (M-SMIB) system approach to determine the maximum generation limit every time there is a change in loading or change in the load location. After the maximum generation limit of each unit generator is known, the generator capability curve that is always in accordance with the real time situation can be formed. Thus, the operation limit of each generator can be recognized, determine the appropriate protection system setting and can prevent the electric power system disturbance. This method will be applied to generator units in the four bus IEEE system with two generators.

scholarly journals MATHEMATICAL MODELING OF THE PROBLEM OF OPTIMAL CONTROL OF ELECTRIC POWER SYSTEMS

2018 ◽  
pp. 62-67
Author(s):  
Kalimoldayev М.N. ◽  
Abdildayeva А.А. ◽  
Akhmetzhanov M.A. ◽  
Galiyeva F.M.
Keyword(s):  
Mathematical Model ◽  
Optimal Control ◽  
Power Systems ◽  
Power System ◽  
Electric Power ◽  
Electric Power Systems ◽  
Electric Power System ◽  
Nonlinear Ordinary Differential Equations ◽  
System Optimal ◽  
The Given

The problems of optimal control of nonlinear ordinary differential equations systems are considered in this paper. The considered mathematical model describes the transient processes in the electric power system. And the problem of optimal control of electric power systems is considered in more detail. Numerical experiments have shown that the control found is optimal for the given problem. Keywords: mathematical model, electric power system, optimal control.

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