scholarly journals Research based on mathematical modeling of CHP-10 power unit No 5 “Baikal Energy Company” LLC to assess the efficiency of its modernization

2021 ◽  
Vol 289 ◽  
pp. 02002
Author(s):  
Fedor Zabuga ◽  
Vitalii Alekseiuk
Keyword(s):  
Mathematical Model ◽  
Power Plant ◽  
Mathematical Modelling ◽  
Power Unit ◽  
Low Pressure ◽  
Operating Conditions ◽  
Computer Assisted ◽  
Model Parameters ◽  
Programming System ◽  
Energy Company

The work aims to study the effect of changes in the drain scheme of the low-pressure regeneration on the energy and economic efficiency of the CHP plant-10 power unit No 5 of “Baikal Energy Company” LLC. In this study, we used a mathematical model of the power unit adjusted to the measurements results. The mathematical modelling of the power unit was performed using the “Computer-assisted programming system” application package. The created mathematical model of the heat and power plant was tailored to the current state of the study object according to the threestage identification procedure of the mathematical model parameters. We proposed a cycle arrangement under which three streams of the low-pressure drainages were redirected to the pump suction of the low-pressure heater. The improved mathematical model of the power unit allows the calculation of the parameters of both the existing and proposed cycle arrangements. According to the calculations, the temperature difference between the main condensate after the low-pressure heater 1 and the investigated drains after mixing is minimal and amounts to 3.2 °C. The suggested modernisation increases the energy efficiency of the power unit by 0.007% under the nominal operating conditions of the existing and proposed thermal circuit. In addition, the specific standard fuel consumption for electric generation is reduced by 0.052 gram of conventional fuel / kW·h. The operating costs to implement the proposed engineering solutions amounted to 34191 roubles. Considering the annual power plant extensive consumption factor, the payback period of the proposed modernisation will be 5.5 months. The savings for the first operation year are estimated at 18423 roubles, based on the rate of return and depreciation expenses. The proposed approach combines mathematical modelling of operating power plants with a technique of increasing the efficiency of technical decision-making. The proposed versatile approach can be used for the modernisation of CHPs and other plants.

scholarly journals Mathematical modelling of the CHP plant-10 power unit No 5 of “Baikal Energy Company” LLC to assess the efficiency of its modernisation

2021 ◽  
Vol 25 (2) ◽  
pp. 183-195
Author(s):  
F. V. Zabuga ◽  
V. E. Alekseyuk
Keyword(s):  
Mathematical Model ◽  
Power Plant ◽  
Mathematical Modelling ◽  
Power Unit ◽  
Low Pressure ◽  
Operating Conditions ◽  
Computer Assisted ◽  
Model Parameters ◽  
Programming System ◽  
Energy Company

The work aims to study the effect of changes in the drain scheme of the low-pressure regeneration on the energy and economic efficiency of the CHP plant-10 power unit No 5 of “Baikal Energy Company” LLC. In this study, we used a mathematical model of the power unit adjusted to the measurements results. The mathematical modelling of the power unit was performed using the “Computer-assisted programming system” application package. The created matematical model of the heat and power plant was tailored to the current state of the study object according to the three-stage identification procedure of the mathematical model parameters. We proposed a cycle arrangement under which three streams of the low-pressure drainages were redirected to the pump suction of the low-pressure heater. The improved mathematical model of the power unit allows the calculation of the parameters of both the existing and proposed cycle arrangements. According to the calculations, the temperature difference between the main condensate after the low-pressure heater 1 and the investigated drains after mixing is minimal and amounts to 3.2 °C. The suggested modernisation increases the energy efficiency of the power unit by 0.007% under the nominal operating conditions of the existing and proposed thermal circuit. In addition, the specific standard fuel consumption for electric generation is reduced by 0.052 g.s.s.f./kWh. The operating costs to implement the proposed engineering solutions amounted to 34,191 roubles. Considering the annual power plant extensive consumption factor, the payback period of the proposed modernisation will be 5.5 months. The savings for the first operation year are estimated at 18,423 roubles, based on the rate of return and depreciation expenses. The proposed approach combines mathematical modelling of operating power plants with a technique of increasing the efficiency of technical decision-making. The proposed versatile approach can be used for the modernisation of CHPs and other plants.

scholarly journals A mathematical model for the virtual simulator of the power unit electrical part

2022 ◽  
Vol 1216 (1) ◽  
pp. 012009
Author(s):  
P Baran ◽  
Y Varetsky ◽  
V Kidyba ◽  
Y Pryshliak
Keyword(s):  
Mathematical Model ◽  
Power Plant ◽  
Differential Equations ◽  
Power System ◽  
Real Time ◽  
Power Unit ◽  
Operating Conditions ◽  
Auxiliary System ◽  
Algebraic Differential Equations ◽  
Electrical Part

Abstract The mathematical model is developed for a virtual training system (simulator) of the power unit electrical part operators of a thermal (nuclear) power plant. The model is used to simulating the main operating conditions of the power unit electrical part: generator idling, generator synchronization with the power system, excitation shifting from the main unit to the backup one and vice versa, switching in the power unit auxiliary system, and others. Furthermore, it has been implemented modelling some probable emergency conditions within a power plant: incomplete phase switching, damage to standard power unit equipment, synchronous oscillations, asynchronous mode, etc. The model of the power unit electrical part consists of two interacting software units: models of power equipment (turbine, generator with excitation systems, auxiliary system) and models of its control systems, automation, relay protection and signalling. The models are represented by the corresponding algebraic-differential equations that provide real-time mapping power unit processes at the operator’s request. The developed model uses optimal solving algebraic-differential equations to ensure the virtual process behaviour in real-time. In particular, the implicit Euler method is used to solve differential equations, which is stable when simulating processes in significant disturbances, such as accidental disconnection of the unit from the power system, tripping and energizing loads, generator excitation loss, etc.

scholarly journals Power unit float oscillation on the surface of the waves

2021 ◽  
pp. 91-96
Author(s):  
E. A. Bekirov ◽  
D. V. Karkach ◽  
E. R. Murtazaev
Keyword(s):  
Differential Equation ◽  
Power Plant ◽  
Power Unit ◽  
Renewable Energy Sources ◽  
Electrical Energy ◽  
Operating Conditions ◽  
Forced Oscillations ◽  
Wave Power ◽  
Sea Waves ◽  
Integro Differential Equation

One of the urgent tasks of using renewable energy sources is the use of a power unit for converting the energy of sea waves into electrical energy. An important element of the design process of a wave power plant is to carry out mathematical modeling of its operation under various operating conditions to determine the output power and conduct a feasibility study. The process of converting the energy of sea waves into electrical energy for the proposed type of wave power plant is based on forced vertical oscillations of the power unit's float caused by sea waves. The mathematical model of the behavior of the float connected to the generator is based on the integro-differential equation of forced oscillations and makes it possible to determine the dynamics of its oscillations and draw a conclusion about the power taken from the generator connected to the float. The article presents the calculations of the dynamics of the float connected to the generator, the wave equation, the integro-differential equation of the float oscillations, the modeling of the incident wave and the float power unit is carried out. Data on the length, period and height of waves in the Black Sea off the coast of Crimea are used according to official forecasts and observations.

Transient Analysis of Power Plant Deaerators

1992 ◽  
Vol 206 (3) ◽  
pp. 157-164 ◽  
Author(s):  
R D Bell ◽  
N W Rees ◽  
C X Lu
Keyword(s):  
Mathematical Model ◽  
Power Plant ◽  
Storage Tank ◽  
Transient Analysis ◽  
Model Parameters ◽  
Balance Equations ◽  
Feed Pump ◽  
Transient Responses ◽  
Transient Behaviour ◽  
Onset Of Cavitation

A mathematical model suitable for predicting the transient behaviour of deaerator plant is presented. The model is based on energy and mass balance equations applied to the deaerator, storage tank and feed pump suction pipe. The model parameters are based entirely on the physical characteristics of the plant, and hence the model can be easily adapted to plants of different size. A comparison with data collected from a deaerator plant operating on a 500 MW unit indicates that the model gives good transient responses and can be used to predict accurately the onset of cavitation in the feed pump.

Mathematical modelling of straw combustion in a 38MWe power plant furnace and effect of operating conditions

Fuel ◽  
2007 ◽  
Vol 86 (1-2) ◽  
pp. 129-142 ◽  
Author(s):  
Yao Bin Yang ◽  
Robert Newman ◽  
Vida Sharifi ◽  
Jim Swithenbank ◽  
John Ariss
Keyword(s):  
Power Plant ◽  
Mathematical Modelling ◽  
Operating Conditions ◽  
Straw Combustion

scholarly journals Development of simplified mathematical model of P-88 recovery boiler for operating modes at loads near the nominal

Vestnik IGEU ◽  
2021 ◽  
pp. 5-13
Author(s):  
B.L. Shelygin ◽  
S.A. Pankov ◽  
G.V. Ledukhovsky
Keyword(s):  
Mathematical Model ◽  
Power Unit ◽  
Combined Cycle ◽  
Operating Conditions ◽  
Software Systems ◽  
Specialized Software ◽  
Combined Cycle Plant ◽  
Calculation Results ◽  
Recovery Boiler ◽  
Simplified Mathematical Model

To improve the design of the elements of combined-cycle plants, and their structural and mode optimization, mathematical models are required. These models show energy efficiency indicators of the equipment under changing operating conditions. Modeling of recovery boilers is traditionally carried out with the application of specialized software systems that implement submodels of thermal-hydraulic calculations of the elements of the boiler water-steam and gas paths. This approach makes it difficult to solve practical tasks, since it requires licensed software and appropriate qualifications of an engineer. The current direction of solving this problem is statistical processing of the results of calculation data obtained with the application of specialized software systems, and development of a simplified mathematical model in the form of regression dependencies of boiler performance on variable parameters. In this study, the problem is solved in relation to the P-88 boiler of the combined-cycle plant-325 power unit in the load range near the nominal one. The initial mathematical model is developed with the application of the software package “TRAKT” designed for verification and engineering design of boilers. The simplified mathematical model is based on the methods of regression analysis of statistical data. The accuracy of the model is estimated based on the operational data of the combined-cycle plant -325 power unit. The authors have developed the mathematical model of the P-88 recovery boiler, which allows to determine the main performance indicators of the boiler when the electric power of the gas turbine and the outdoor air temperature are changing at the loads near the nominal value. The performance indicators are determined without application of specialized software for design calculation of the boiler. The accuracy of the initial mathematical model implemented in the software package “TRACT” is characterized by deviation of the calculation results data from the operational data in the corresponding modes of no more than 2 %. The additional uncertainty value introduced into the calculation results data does not exceed 1,5 % when we transfer from the initial mathematical model to the simplified one. The resulting mathematical description will allow solving the problems of mode optimization and evaluating the efficiency of the recovery boiler and the power unit under changing operating conditions.

Study on calculating kinetic parameters of mathematical model describing the adsorption process of a single fixed bed of N2 gas generator working by pressure swing adsorption (PSA) and using carbon molecular sieves CMS-240

2020 ◽  
Vol 9 (1) ◽  
Author(s):  
Chinh Pham Van ◽  
Tuan Le Quang ◽  
Hieu Nguyen Tuan ◽  
Tien Vu Dinh
Keyword(s):  
Mathematical Model ◽  
Molecular Sieves ◽  
Pressure Swing Adsorption ◽  
Adsorption Process ◽  
Operating Conditions ◽  
Model Parameters ◽  
Gas Generator ◽  
Carbon Molecular Sieves ◽  
Adsorption Column ◽  
Pressure Swing

Nitrogen generator working by pressure swing adsorption cycle using carbon molecular sieves adsorbent is widely used in industry at small and medium scale in recent years, due to its convenience. This is equipment that uses a molecular size selective adsorption technique to separate nitrogen from air. In general, kinetic modeling and optimization are commonly used to analyze the process dynamics of the adsorption column at various operating conditions in which process parameters such as gas concentration, operating temperature and pressure are considered to be functions of time and bed height. In this paper, a mathematical model describing the adsorption column according to the pressure function is established following time and the height of the bed assuming that the velocity through area of the bed is constant at each pressure. The results of these calculations are model parameters that describe the adsorption process of the column. This model can be solved by MATLAB software to simulate the adsorption process of the column. This study was carried out on a nitrogen gas generator that was researched and designed at the Institute of Technology - General Department of Defense Industry to simulate, optimize and scale-up.

scholarly journals Study on calculating kinetic parameters of mathematical model describing the adsorption process of a single fixed bed of N2 gas generator working by pressure swing adsorption (PSA) and using carbon molecular sieves CMS-240

2021 ◽  
Vol 9 (1) ◽  
Author(s):  
Chinh Pham Van ◽  
Tuan Le Quang ◽  
Hieu Nguyen Tuan ◽  
Tien Vu Dinh
Keyword(s):  
Mathematical Model ◽  
Molecular Sieves ◽  
Pressure Swing Adsorption ◽  
Adsorption Process ◽  
Operating Conditions ◽  
Model Parameters ◽  
Gas Generator ◽  
Carbon Molecular Sieves ◽  
Adsorption Column ◽  
Pressure Swing

Nitrogen generator working by pressure swing adsorption cycle using carbon molecular sieves adsorbent is widely used in industry at small and medium scale in recent years, due to its convenience. This is equipment that uses a molecular size selective adsorption technique to separate nitrogen from air. In general, kinetic modeling and optimization are commonly used to analyze the process dynamics of the adsorption column at various operating conditions in which process parameters such as gas concentration, operating temperature and pressure are considered to be functions of time and bed height. In this paper, a mathematical model describing the adsorption column according to the pressure function is established following time and the height of the bed assuming that the velocity through area of the bed is constant at each pressure. The results of these calculations are model parameters that describe the adsorption process of the column. This model can be solved by MATLAB software to simulate the adsorption process of the column. This study was carried out on a nitrogen gas generator that was researched and designed at the Institute of Technology - General Department of Defense Industry to simulate, optimize and scale-up.

Modeling the Performance Characteristics of Diesel Engine Based Combined-Cycle Power Plants—Part I: Mathematical Model

2004 ◽  
Vol 126 (1) ◽  
pp. 28-34 ◽  
Author(s):  
Stan N. Danov ◽  
Ashwanti K. Gupta
Keyword(s):  
Mathematical Model ◽  
Diesel Engine ◽  
Power Plant ◽  
Energy Conversion ◽  
Steam Turbine ◽  
Nonlinear Differential Equations ◽  
Combined Cycle ◽  
Operating Conditions ◽  
Performance Characteristics ◽  
Combined Cycle Power Plant

In this two-part series publication, a mathematical model of the energy conversion process in a diesel engine based combined-cycle power plant has been developed. The examined configuration consists of a turbocharged diesel engine (the topping cycle), a heat recovery steam generator (HRSG) and a steam turbine plant (the bottoming cycle). The mathematical model describes the processes that occur simultaneously in the diesel engine cylinders, turbocharger, air filter, air inlet pipes, exhaust pipes, HRSG, steam turbine, and the associated auxiliary equipment. The model includes nonlinear differential equations for modeling the energy conversion in the diesel engine cylinders, fuel combustion, gas exchange process, energy balance in the turbocharger, inlet pipes and exhaust system, heat balance in the HRSG, and steam turbine cycle. The fifth-order Kuta-Merson method has been applied for numerical solution of these simultaneous equations via an iterative computing procedure. The model is then used to provide an analysis of performance characteristics of the combined-cycle power plant for steady-state operation. The effect of change in the major operating variables (mutual operation of diesel engine, HRSG, and steam turbine) has been analyzed over a range of operating conditions, including the engine load and speed. The model validation and the applications of the model are presented in Part II (Results and Applications) of this two-part series publication.

scholarly journals Mathematical Modelling and Parameter Determination of Reluctance Synchronous Motor with Squirrel Cage

2010 ◽  
Vol 61 (6) ◽  
pp. 357-364 ◽  
Author(s):  
Peter Hudák ◽  
Valéria Hrabovcová
Keyword(s):  
Mathematical Model ◽  
Mathematical Modelling ◽  
Synchronous Motor ◽  
Parameter Determination ◽  
Model Parameters ◽  
Squirrel Cage ◽  
Rotor Cage

Mathematical Modelling and Parameter Determination of Reluctance Synchronous Motor with Squirrel Cage The paper provides an analysis of reluctance synchronous motor (RSM) with asymmetrical rotor cage. Its performances during its starting up is investigated. A mathematical model is created on the basis of detailed investigation of model parameters. The RSM starting up by switching it directly across the line was simulated and verified by measurements.

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