Integral Models of Developing Electric Power Systems

2013 ◽  
Vol 2 (4) ◽  
pp. 44-58 ◽  
Author(s):  
E. V. Markova ◽  
I. V. Sidler ◽  
V. V. Trufanov
Keyword(s):  
Power Systems ◽  
Power System ◽  
Electric Power ◽  
System Development ◽  
Electric Power Industry ◽  
Electric Power System ◽  
Integral Model ◽  
Volterra Equations ◽  
Prony Method ◽  
Optimal Service

The first part of the paper is devoted to the problem of optimal control in the area of electric power industry which is described on the basis of a one-sector variant of Glushkov integral model of developing systems. The authors consider the ways uncertain conditions of future electric power system development influence the optimal service life. The results of calculations for the Unified Electric Power System of Russia are presented and analyzed. The second part of the paper deals with the application of Prony method to identification of the Volterra equations in the two-sector models of developing systems. The authors suggest a numerical method for identifying the efficiency function parameters. An illustrative example is given.

scholarly journals Integral Models Based on Volterra Equations with Prehistory and Their Applications in Energy

Mathematics ◽  
2021 ◽  
Vol 9 (10) ◽  
pp. 1127
Author(s):  
Evgeniia Markova ◽  
Inna Sidler ◽  
Svetlana Solodusha
Keyword(s):  
Power Systems ◽  
Power System ◽  
Electric Power ◽  
Nonlinear Dynamic System ◽  
Energy System ◽  
Electric Power System ◽  
Volterra Equations ◽  
Two Dimensional ◽  
Actual Problem ◽  
Theoretical Results

The paper addresses the application of Volterra integral equations of the first kind for modeling dynamic power systems. We study the problem of forecasting the commissioning of capacities of the electric power system, taking into account various hypotheses about the dynamics of equipment aging, and the known prehistory. The numerical results of the application of two models to the problem of the development of a large electric power system using the example of the Unified Energy System of Russia are presented. Theoretical results were formulated for a two-dimensional Volterra integral equation of the first kind with variable limits of integration. This class of equations arises when solving the actual problem of identifying variable characteristics of a nonlinear dynamic system of the “input-output” type.

scholarly journals Multi-criteria approaches to electric power system development

2020 ◽  
Vol 216 ◽  
pp. 01006
Author(s):  
Nikolay Belyaev ◽  
Andrey Egorov ◽  
Nikolay Korovkin ◽  
Vladimir Chudny
Keyword(s):  
Power Systems ◽  
Power System ◽  
Electric Power ◽  
System Development ◽  
Optimization Procedure ◽  
Electric Power Systems ◽  
Electric Power System

The paper considers the issues of multi-criteria optimization procedure when planning the development of electric power systems (hereinafter - EPS). The advantages of multi-criteria approach as compared to the standard statement of a problem dealing with the justification for EPS development and feasible criteria for such a development have been examined. The problem of optimization of the structure of generating capacities within the power system has been stated and solved on the basis of four criteria; the analysis of obtained results has been carried out.

scholarly journals A Novel Methodology for Adaptive Coordination of Multiple Controllers in Electrical Grids

Mathematics ◽  
2021 ◽  
Vol 9 (13) ◽  
pp. 1474
Author(s):  
Ruben Tapia-Olvera ◽  
Francisco Beltran-Carbajal ◽  
Antonio Valderrabano-Gonzalez ◽  
Omar Aguilar-Mejia
Keyword(s):  
Power Systems ◽  
Power System ◽  
Electric Power ◽  
Large Scale ◽  
Short Circuit ◽  
Dynamic Performance ◽  
Low Frequency ◽  
Electric Power System ◽  
Design Stage ◽  
Positive Interaction

This proposal is aimed to overcome the problem that arises when diverse regulation devices and controlling strategies are involved in electric power systems regulation design. When new devices are included in electric power system after the topology and regulation goals were defined, a new design stage is generally needed to obtain the desired outputs. Moreover, if the initial design is based on a linearized model around an equilibrium point, the new conditions might degrade the whole performance of the system. Our proposal demonstrates that the power system performance can be guaranteed with one design stage when an adequate adaptive scheme is updating some critic controllers’ gains. For large-scale power systems, this feature is illustrated with the use of time domain simulations, showing the dynamic behavior of the significant variables. The transient response is enhanced in terms of maximum overshoot and settling time. This is demonstrated using the deviation between the behavior of some important variables with StatCom, but without or with PSS. A B-Spline neural networks algorithm is used to define the best controllers’ gains to efficiently attenuate low frequency oscillations when a short circuit event is presented. This strategy avoids the parameters and power system model dependency; only a dataset of typical variable measurements is required to achieve the expected behavior. The inclusion of PSS and StatCom with positive interaction, enhances the dynamic performance of the system while illustrating the ability of the strategy in adding different controllers in only one design stage.

scholarly journals Modeling and simulation of transients in electric power systems using hybrid system theory

2019 ◽  
Vol 24 ◽  
pp. 02012
Author(s):  
Yury Shornikov ◽  
Evgeny Popov
Keyword(s):  
System Theory ◽  
Power Systems ◽  
Power System ◽  
Mathematical Models ◽  
Modeling And Simulation ◽  
Electric Power ◽  
Hybrid System ◽  
Electric Power Systems ◽  
Electric Power System ◽  
Simulation Environment

Transients in electric power systems are of great interest to power engineers when designing a new or maintaining an existing system. The paper deals with using hybrid system theory for modeling and simulation of an electric power system with controllers. The presented technique is rather convenient and recommended as mathematical models of transients in electric power systems with controllers in general contain both continuous and discrete components. The modeling and simulation were carried out in the modeling and simulation environment ISMA, which is briefly presented in the paper.

scholarly journals A Modular Neural Network Scheme Applied to Fault Diagnosis in Electric Power Systems

2014 ◽  
Vol 2014 ◽  
pp. 1-13
Author(s):  
Agustín Flores ◽  
Eduardo Quiles ◽  
Emilio García ◽  
Francisco Morant ◽  
Antonio Correcher
Keyword(s):  
Fault Diagnosis ◽  
Power Systems ◽  
Power System ◽  
Transmission Line ◽  
Electric Power ◽  
Diagnostic System ◽  
Specific Area ◽  
Electric Power Systems ◽  
Electric Power System ◽  
Power Network

This work proposes a new method for fault diagnosis in electric power systems based on neural modules. With this method the diagnosis is performed by assigning a neural module for each type of component comprising the electric power system, whether it is a transmission line, bus or transformer. The neural modules for buses and transformers comprise two diagnostic levels which take into consideration the logic states of switches and relays, both internal and back-up, with the exception of the neural module for transmission lines which also has a third diagnostic level which takes into account the oscillograms of fault voltages and currents as well as the frequency spectrums of these oscillograms, in order to verify if the transmission line had in fact been subjected to a fault. One important advantage of the diagnostic system proposed is that its implementation does not require the use of a network configurator for the system; it does not depend on the size of the power network nor does it require retraining of the neural modules if the power network increases in size, making its application possible to only one component, a specific area, or the whole context of the power system.

scholarly journals Application of Synchrophasor Measurements for Improving Situational Awareness of the Power System

2018 ◽  
Vol 55 (2) ◽  
pp. 3-10
Author(s):  
A. Obushevs ◽  
A. Mutule
Keyword(s):  
Renewable Energy ◽  
Power Systems ◽  
Power System ◽  
Electric Power ◽  
Real Time ◽  
Situational Awareness ◽  
Renewable Energy Sources ◽  
Electric Power System ◽  
Energy Sources ◽  
Scada Systems

Abstract The paper focuses on the application of synchrophasor measurements that present unprecedented benefits compared to SCADA systems in order to facilitate the successful transformation of the Nordic-Baltic-and-European electric power system to operate with large amounts of renewable energy sources and improve situational awareness of the power system. The article describes new functionalities of visualisation tools to estimate a grid inertia level in real time with monitoring results between Nordic and Baltic power systems.

scholarly journals Reserves of Generating Capacity for Perspective Planning of Development of the Unified Energy System of Russia

2020 ◽  
Vol 209 ◽  
pp. 06015
Author(s):  
Dmitry Krupenev ◽  
Denis Boyarkin ◽  
Dmitrii Iakubovskii ◽  
Gennady Kovalev ◽  
Ludmila Lebedeva
Keyword(s):  
Power Systems ◽  
Power System ◽  
Electric Power ◽  
Electric Power Industry ◽  
Energy System ◽  
Power Industry ◽  
Generating Capacity ◽  
Perspective Planning

Determination of reserves of generating capacity is one of the main tasks in planning the future development of electric power systems. There are many problems that affect the rational level of redundancy of generating capacities in Russian power industry. Modern changes in the Russian electric power industry concerning the level of redundancy of generating capacity in the long-term planning of the development of the Unified Power System (UPS) of Russia are analyzed in the article. The optimization problem of determining the necessary reserves of generating capacity in the power system, based on the assessment of adequacy, taking into account the modern features of the development of the UPS of Russia is presented. The results of assessing the adequacy of the UPS of Russia at the level of 2022 and the value of the optimized reserves of generating capacity in the UPS of Russia are showed in the final part.

scholarly journals A study of the transient processes in the physical model of the electric power systems with predominant part of the renewable energy sources

2021 ◽  
Vol 286 ◽  
pp. 02009
Author(s):  
Ivaylo Nedelchev ◽  
Hristo Zhivomirov ◽  
Yoncho Kamenov
Keyword(s):  
Renewable Energy ◽  
Power Systems ◽  
Power System ◽  
Electric Power ◽  
Physical Model ◽  
Wind Power ◽  
Electric Power Systems ◽  
Electric Power System ◽  
Transient Processes ◽  
Energy Sources

The renewable energy take part in the most of the electric power systems in the modern world. The part of this type of energy in the global electric power system, as well as in the local scale, increases with the setting the stricter requirements for decreasing the level of the carbon dioxide emissions. This is the result of the newest international conventions and decision for saving the nature. By these conditions, the electric power systems are forced to work with more different types of energy sources: wind power, photovoltaic, biomass plants etc. Switching of such miscellaneous power sources, leads to complicated transient processes, which are developed due to specific electrical parameters, especially harmonic components, of the synchronous generators, photovoltaic and wind power plants. This paper represents data from measurements of the transient processes into the physical model of the electric power system with predominant part of renewable energy and assesses the applicability of the model. For conducting this study, the multichannel DAQ measurement system is used.

scholarly journals Numerical solution of the age structure optimization problem for basic types of power plants

2019 ◽  
Vol 29 (1) ◽  
pp. 81-92 ◽  
Author(s):  
Evgeniia Markova ◽  
Inna Sidler
Keyword(s):  
Power System ◽  
Numerical Solution ◽  
Electric Power ◽  
Age Structure ◽  
Power Plants ◽  
Real Life ◽  
Electric Power System ◽  
Integral Model ◽  
Variable Integration ◽  
The Cost

Our paper addresses an integral model of the large electric power system optimal development. The model takes into account the age structure of the main equipment, which is divided into several types regarding its technical characteristics. This mathematical model is a system of Volterra type integral equations with variable integration limits. The system describes the balance between the given demand for electricity, the commissioning of new equipment and the dismantling of obsolete equipment, as well as the shares of different types of power plants in the total composition of the electric power system equipment. Based on the developed model, we got numerical solution to the problem of finding the optimal strategy for replacing equipment with a minimum of the cost functional. The case study is the Unified Electric Power System of Russia. Calculations of the forecast for development of the electric power system of Russia until 2050 were made using real-life data.

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