scholarly journals Steam coal supplies for power generation – the concept of a mathematical model

Author(s):  
Jacek Kamiński ◽  
Piotr Saługa

Streszczenie Ze względu na ukształtowaną historycznie strukturę paliwową wytwarzania energii elektrycznej w Polsce, podstawowym surowcem energetycznym wykorzystywanym do generacji energii elek- trycznej pozostaje węgiel kamienny i brunatny. Odzwierciedleniem takiej struktury wytwarzania jest odpowiednia struktura kosztów produkcji energii elektrycznej, w której przeważającym składnikiem są koszty pozyskania paliw. Celem artykułu jest opracowanie wstępnej koncepcji modelu matema- tycznego, którego zastosowanie ma prowadzić do redukcji kosztów pozyskania surowców ener- getycznych przedsiębiorstwa energetycznego. |Punktem wyjścia jest analiza kosztów paliwowych w sektorze wytwarzania energii elektrycznej na węglu kamiennym, a następnie analiza ilości po- zyskiwanego węgla oraz jego kosztów na przykładzie dwóch koncernów energetycznych, bazujących przede wszystkim na węglu energetycznym. Koncepcja budowy modelu zakłada jego otwartą architekturę, która pozwoli na dostosowanie zarówno samych założeń modelowych, jak i danych wejściowych do modelu w zależności od zmieniających się warunków rynkowych. Uwzględniono specyficzne uwarunkowania krajowego sektora paliwowo-energetycznego, między innymi konieczność spełnienia wymogów jakościowych węgla spalanego w poszczególnych blokach, możliwe źródła podaży, ze szczegółowym uwzględ- nieniem spółek węglowych zlokalizowanych w Polsce, oraz potencjalne źródła importowe. Założono również możliwość elastycznego doboru rozdzielczości czasowej modelu, w zależności od wymogów zarządczych. Zgodnie z zaproponowaną metodyką, dalsze prace nad modelem matematycznym optymalizującym proces zakupu surowców energetycznych koncernu energetycznego, poświęcone będą transpozycji modelu konceptualnego do postaci matematycznej modelu, a następnie jego imple- mentacji w środowisku modelowania.

2017 ◽  
Vol 14 ◽  
pp. 01028 ◽  
Author(s):  
Qusay Hassan ◽  
Marek Jaszczur ◽  
Estera Przenzak

2018 ◽  
Vol 7 (3.15) ◽  
pp. 277
Author(s):  
Lev Yu. Lezhnev ◽  
Alexey P. Tatarnikov ◽  
Arсady A. Skvortsov ◽  
Igor A. Papkin ◽  
Aleksandr S. Nekrasov

The article describes the process of developing a turbogenerator for power plants of small and distributed power generation. The analysis of the component base for the turbogenerator was carried out, and thereof a comparative analysis of possible technical solutions was conducted. The work considered the installation variants of a turbogenerator in the exhaust system, an electric machine of a turbogenerator, types of turbines of a generator. A mathematical model for computation of the output effective and geometric parameters of a turbogenerator was described. The results of computational analysis were presented, and the parameters of the turbogenerator being developed were selected. Based on the results of the work done the conclusions were made  


2020 ◽  
Author(s):  
Anqi Tan ◽  
Senlin Chen

<p>Discrete differential dynamic programming algorithm is widely used in reservoir power generation dispatching, but the problem of "dimensional disaster" still exists, and there are different degrees of limitations such as premature convergence and uncertainty of convergence. In the existing monographs and literature, there is little research on the algorithm itself. The iterative solution convergence conditions, initial parameters, and initial trajectory selection of the mathematical model for reservoir power generation scheduling optimization have important effects on the iterative process and results. The convergence conditions directly determine when the iterative process converges and its calculation results. In this paper, the solution convergence conditions are studied. Based on the calculation results of the mathematical model of reservoir power generation scheduling optimization, the method of iteratively solving the convergence conditions when different state quantities are used as control factors is systematically studied. Shuibuya Hydropower Station Scheduling results show that using this method to determine the termination step size can shorten the calculation time and obtain an optimization result close to the ideal value, avoid the randomness of the convergence process of the iterative solution, and improve the accuracy of the DDDP algorithm and the efficiency of the target value.</p>


2021 ◽  
Author(s):  
Yi Wang ◽  
Tiejun Zhou ◽  
Weiji Zhou

Abstract A solar radiation distribution method is proposed based on the maximization of economic benefits for photovoltaic power generation and agricultural production in a photovoltaic greenhouse to solve the problem of low overall economic benefits because of an unreasonable solar radiation distribution between photovoltaic power generation and agricultural production in the photovoltaic greenhouse. First, a mathematical model of the solar radiation yield of photovoltaic greenhouse crops is proposed based on a rectangular hyperbolic modified light response model of crops to represent the relationship between solar radiation energy and crop production. Second, a mathematical model of the average annual revenue of a photovoltaic greenhouse is established to determine the maximum annual economic benefit of the photovoltaic greenhouse, and the model is constrained by the requirements of the light intensity of photovoltaic power generation and environmental conditions for the growth of greenhouse crops. Finally, the correctness of the model is verified by actual operation data of a photovoltaic greenhouse in Xinjiang, and the optimal solar radiation distribution proportion is calculated. This study provides theoretical support for the design of photovoltaic greenhouses.


Author(s):  
Hidenori Murakami ◽  
Oscar Rios ◽  
Ardavan Amini

Global attempts to increase generation of clean and reproducible natural energy have greatly contributed to the progress of solar, wind, biomass, and geothermal energy generation. To meet the goal set by the Renewable Portfolio Standards (RPS) in the United States, it is advisable for several of the coastal states to tap into the least explored resource: ocean-wave energy. There are many advantages to ocean-wave energy generation. First, the energy per unit area is 20 to 30 times larger compared with solar and five to ten times larger when compared to wind energy. Second, waves are more easily predicted than wind. Currently, there are several challenges with capturing ocean energy: With respect to the environment, noise pollution and effects on marine life need to be taken into consideration; with respect to design, ocean-wave power generators need to withstand large waves due to hurricanes and be designed to lessen visual pollution. There are various methods and devices used to capture ocean wave energy. Point absorbers, such as PowerBuoy, can harness vertical or heaving motion into electricity while attenuators like Pelamis use the induced movement of its joints from the incoming waves. Unfortunately, many have few parameters that can be varied to optimize power generation and or suffer from the various challenges mentioned above. The gyroscopic ocean wave energy converter harnesses the rocking or pitching motion induced by the ocean waves and converts it into rotary motion that is then fed to a generator. Furthermore, it is a fully enclosed floating device that has several parameters that can be varied to optimize power output. Previous work has demonstrated the viability of such a device, but the theoretical modeling of these converters is still in its infancy compared to that of other ocean wave energy converters. The objective of the research presented is to fully understand the mechanisms of power generation in the gyroscopic ocean wave energy converter. Using the moving frame method, a mathematical model of the device is developed. The nonlinear equations of motion are derived through the use of this novel method and then solved numerically. The results are then used to optimize the system and identify key parameters and their effect on the output power generated. Additionally, the resulting equations serve as a tool for identifying an appropriate control strategy for the system. Finally, a scale model of a gyroscopic ocean wave energy converter is developed to validate the equations of motion that have been derived.


Author(s):  
D. Matushkin ◽  
А. Bosak ◽  
L. Kulakovskyi

The new model of the wholesale electricity market in Ukraine causes appearance the market for the day ahead. In this market, the generating company undertakes to supply a certain amount of electricity. So, it is necessary to carry on the most accurate forecast of possible electricity generation by solar power plant (SPP). Generation value depends on certain factors. A brief summary of different influence of parameters on the PV cell performance has been provided. The article analyzes and identifies the factors that should be included in the forecast mathematical model of electricity generation by a solar power plant for a certain short-term period. According to analyzed data from SPP located in the Kyiv region, such parameters are the intensity of solar radiation, temperature and humidity, wind speed, and atmospheric pressure. The degree of influence of these factors on the initial function of electric energy generation were estimated by analyzing the scatter plot diagrams of relationship between parameters and correlation coefficients. Thus, the analysis of the influence of factors on the magnitude of electricity generation allowed to determine the priority of including each of the parameters in the mathematical model of the SPP power forecast. It was established that the influence of certain climate parameters for target function is different in each season. Therefore, in the mathematical model for forecasting electric power generation, it is necessary to take into account seasonality. In addition, the dynamic value change of factors also affects the current magnitude of electricity generation. Moreover, at different times of the year and with different combination of the corresponding values of climatic parameters, this effect may have different magnitudes. Therefore, the data obtained from the last periods before the forecasting should have a greater impact on obtaining the predicted value than the data from previous periods.


2018 ◽  
Vol 5 (8) ◽  
pp. 486-493
Author(s):  
Le Tien Phong ◽  
◽  
Nguyen Minh Cuong ◽  
Thai Quang Vinh ◽  
Ngo Duc Minh ◽  
...  

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