mathematical modelling and simulation
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2022 ◽  
Author(s):  
Brock Lumbers ◽  
David W. Agar ◽  
Joachim Gebel ◽  
Frank Platte

The demand for low-emission hydrogen is set to grow as the world transitions to a future hydrogen economy. Unlike current methods of hydrogen production, which largely derive from fossil fuels with unabated emissions, the thermo-catalytic methane decomposition (TCMD) process is a promising intermediate solution that generates no direct carbon dioxide emissions and can bridge the transition to green hydrogen whilst utilising existing gas infrastructure. This process is yet to see widespread adoption, however, due to the high catalyst turnover costs resulting from the inevitable deactivation of the catalyst, which plays a decisive role in the feasibility of the process. In this study, a feasible TCMD process was identified and a simplified mathematical model was developed, which provides a dynamic estimation for the hydrogen production rate and catalyst turnover costs over various process conditions. The work consisted of a parametric study as well as an investigation into the different process modes. Based on the numerous simulation results it was possible to find the optimal process parameters that maximise the hydrogen pro- duction rate and minimise the catalyst turnover costs, therefore increasing the economic potential of the process and hence its commercial viability.


2021 ◽  
Vol 2061 (1) ◽  
pp. 012095
Author(s):  
K B Evseev

Abstract The article presents a hierarchy of performance properties of vehicles for the transportation of heavy indivisible goods. Different methods can be used to determine the performance properties measures. The article presents the measurers of performance properties, the numerical values of which are obtained by using the method of mathematical modelling and simulation, the method of natural mathematical modelling and experimental methods of evaluation. The article identifies the problem of logistics in the Far North and in regions with no road infrastructure. The question under discussion is a burning question. The solutions to the problem have been discussed. One of the solutions to the problem is the development of new vehicles for the transportation of heavy indivisible loads in the Far North. For each vehicle it is necessary to take into account its functional purpose. Only a certain set of the most important perfomance properties should be taken into account. The most significant properties characterizing the mobility property are determined.


2021 ◽  
Vol 93 (6s) ◽  
pp. 279-290
Author(s):  
Pawel Piskur ◽  
◽  
Piotr Szymak ◽  
Bartosz Larzewski ◽  
◽  
...  

The article discusses various crane mathematical modelling and simulation methodologies. The purpose of this study is to assess the effect of wind force on the dynamic of shipyard cranes, particularly hook movements in the horizontal plane. Appropriate simulation models are required to offer a robust control strategy that allows the crane to be remotely operated in windy circumstances. As a result, mathematical models based on differential equations for varying numbers of independent variables are compared to object-oriented, physical modelling model based on Matlab Simscape Multibody. The assumptions are explored, as well as the effect of the number of independent variables on model correctness.


2021 ◽  
Vol 20 ◽  
pp. 208-214
Author(s):  
Sanjay Kumar Roy ◽  
Kamal Kumar Sharma ◽  
Cherry Bhargava ◽  
Brahmadeo Prasad Singh

This article aims to develop a band pass filter's mathematical model using the Floating Admittance Matrix (FAM) method. The use of the conventional methods of analysis based KCL, KVL, Thevenin's, Norton's depends on the type of the particular circuit. The proposed mathematical modeling using the floating admittance matrix method is unique, and the same can be used for all types of circuits. This method uses the partitioning technique for large network. The sum property of all the elements of any row or any column equal to zero provides the assurance to proceed further for analysis or re-observe the very first equation. This saves time and energy. The FAM method presented here is so simple that anybody with slight knowledge of electronics but understating the matrix maneuvering, can analyze any circuit to derive all types of transfer functions. The mathematical modeling using the FAM method provides leverage to the designer to comfortably adjust their design at any stage of analysis. These statements provide compelling reasons for the adoption of the proposed process and demonstrate its benefits


2021 ◽  
Author(s):  
SANJAY KUMAR ROY ◽  
Cherry Bhargava ◽  
Kamal Kumar Sharma ◽  
Brahmadeo Prasad Singh

Abstract This article describes the Band Pass Filters mathematical modeling, focusing on solutions using the Floating Admittance matrix method (FAM). The solution using the FAM Method looks superior for any circuit analysis. We are introducing a new strategy resulting in one of the best designs of the Bandpass and the Notch Filters. This document provides compelling reasons for the proposed Process, demonstrates its benefits and many valuable extensions and resources.


2020 ◽  
Vol 2020 ◽  
pp. 1-24
Author(s):  
Bahareh Vaisi ◽  
Hiwa Farughi ◽  
Sadigh Raissi

The purpose of this paper is to model two problems comprising schedule-allocate (in case of producing identical parts) and sequencing of parts (in case of producing different parts). The first model is used for minimizing the cycle time and operational cost, and the second one for minimizing both the mean and standard deviation of the total production cost as well the cycle time, in an unreliable three-machine robotic cell which confronted with many uncertainty factors. In the current article, mathematical modelling and simulation-based optimization method have been presented to schedule-allocate similar parts and trace the optimal sequence of different parts. Several solution procedures, including epsilon-constraint method and multiobjective particle swarm optimization algorithm, for identical parts case and response surface methodology for different parts case are applied. The results derived from solving numerical examples revealed some advantages in terms of time to attain the optimal solution.


Author(s):  
Theodoros G Kostis

The radar equation is the fundamental mathematical model of the basic function of a radar system. Moreover, there are many versions of the radar equation, which correspond to particular radar operations, like low pulse repetition frequency (PRF), high PRF, or surveillance mode. In many cases, all these expressions of the radar equation exist in their combined forms, giving little information to the actual physics and signal geometry between the radar and the target involved in the process. In this case study, we divide the radar equation into its major steps and present a descriptive mathematical modelling of the radar and other related equations utilizing the free space loss and target gain concepts to simulate the effect of a white noise jammer on an adversary radar. We believe that this work will be particularly beneficial to instructors of radar courses and to radar simulation engineers because of its analytical block approach to the main equations related to the fields of radar and electronic warfare. Finally, this work falls under the field of predictive dynamics for radar systems using mathematical modelling techniques.


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