Study on the Accessibility Analysis Method of Loop-Pipe-Network with Multi-Gas-Source

2011 ◽  
Vol 347-353 ◽  
pp. 3869-3872
Author(s):  
Wen Zhong Xu ◽  
Yan Hua Cheng ◽  
Wan Zheng Zhang
Keyword(s):  
Mathematical Model ◽  
Graph Theory ◽  
Linear Algebra ◽  
Solution Method ◽  
Analysis Method ◽  
Pipe Network ◽  
Accessibility Analysis ◽  
Gas Source ◽  
The Mathematical Model ◽  
Designing Method

This paper carries the study on the accessibility analysis method of loop-pipe-network with multi-gas-source. For the unreasonableness of conventional designing method of loop-pipe-network with multi-gas-source, the accessibility analysis mathematical model is established with relevant theory of graph theory, hydromechanics and linear algebra, and the solution method of the mathematical model of accessibility analysis is set. The accessibility analysis method could achieve the reliability and economy of network.

Mathematical Model of Three-Phase Boost Converter

2012 ◽  
Vol 507 ◽  
pp. 96-100
Author(s):  
Zhong Zhang ◽  
Wei Ming Tong
Keyword(s):  
Mathematical Model ◽  
Nonlinear Control ◽  
Control Strategy ◽  
Boost Converter ◽  
Analysis Method ◽  
Topology Structure ◽  
Conservation Of Energy ◽  
Three Phase ◽  
Converter Topology ◽  
The Mathematical Model

Now the nonlinear control strategy used by a lot of power electronic converters is not dependent on the mathematical model of the system. They are only based on the error of control variables to control the output voltage or other variables, and this leads to the shortcomings of poor control and not easy to optimize. The fundamental reason is that they are not based on the mathematical model of converter topology structure. This paper presents a new way to build mathematical model. The paper established the unified mathematical model of the three-phase Boost converter topology structure by studied the three-phase Boost converter topology structure deeply and based on the law of conservation of energy and combined with small-signal modeling analysis method, and done the systematic analysis for it. The analysis method is also applicable to other converter topology, such as the buck, buck-boost, etc., and the model not only can be used in the controller design, can also provide a theoretical basis for the applications of a new nonlinear control strategy.

Research on the Simulation of the Charge Mathematical Model of the Vehicle Starting Battery

2013 ◽  
Vol 680 ◽  
pp. 479-483
Author(s):  
Pei Ying Li ◽  
Yu Tian Pan
Keyword(s):  
Mathematical Model ◽  
Battery Life ◽  
Model Parameters ◽  
Analysis Method ◽  
Lead Acid Battery ◽  
Battery Charge ◽  
Charge Model ◽  
Simulation Results ◽  
The Mathematical Model ◽  
Lead Acid

In order to meet the demands of practical, convenient and quick charge requirements, a mathematical model of a certain type of vehicle starting lead-acid battery is established. Using the method of circuit analysis, the model parameters are identified by the known test data. In addition, battery charge model is simulated in each charge stage using the intelligent three-stage charge method, simulation waveform and test waveform fit very well, absolute errors between them reach to 10-6. Simulation results show that the mathematical model and its analysis method is proper for the charge characteristics of vehicle starting lead-acid battery. This has a good guidance to design intelligent charger and extend the battery life.

Study of the Model and Algorithm in Linear Programming of Maintainability Growth Project

2012 ◽  
Vol 271-272 ◽  
pp. 1427-1433
Author(s):  
Hui Liu ◽  
Jian Ping Hao
Keyword(s):  
Mathematical Model ◽  
Linear Programming ◽  
General Solution ◽  
Simplex Method ◽  
Solution Method ◽  
Project Planning ◽  
Planning Problem ◽  
Project Study ◽  
Relationship Of ◽  
The Mathematical Model

In order to solve the planning problem of maintainability growth project, study of the model and algorithm in linear programming of maintainability growth project is put forward. Firstly, the linear relationship of factor and target as an example, the mathematical model of maintainability growth project planning is put forward in the article, and a general solution method is mentioned. Then according to the maintainability growth problem’s characteristic, the algorithm is improved. A solution method is brought out which is about simplex method with variable changed form 0 to 1- γi. This Algorithm makes the solution of maintainability growth project planning become much simpler than before.

scholarly journals A Mathematical Model of Co-current Imbibition Phenomenon in Inclined Homogeneous Porous Medium

10.29007/jq63 ◽  
2018 ◽  
Author(s):  
Mahendra A. Patel ◽  
Narendrasinh Desai
Keyword(s):  
Mathematical Model ◽  
Porous Medium ◽  
Numerical Solutions ◽  
Approximate Analytical Solution ◽  
Spontaneous Imbibition ◽  
Analysis Method ◽  
Homotopy Analysis ◽  
Homogeneous Porous Medium ◽  
The Mathematical Model ◽  
Wetting Fluid

Spontaneous imbibition is the process in which the wetting phase is drawn into a porous medium by means of capillary force. Cocurrent and countercurrent spontaneous imbibitions are defined as wetting and non-wetting fluid flow in identical, and opposite directions respectively. The mathematical model is developed for cocurrent imbibition phenomenon in the inclined oil formatted homogeneous porous medium. An approximate analytical solution of the governing equation is derived by homotopy analysis method. The graphical and numerical solutions are discussed.

scholarly journals Research on Quantitative Analysis Method of Combined Maintenance Task

2021 ◽  
Vol 2095 (1) ◽  
pp. 012078
Author(s):  
Na Yu ◽  
Tao Zhang
Keyword(s):  
Mathematical Model ◽  
Quantitative Analysis ◽  
Delay Time ◽  
Maintenance Cost ◽  
Maintenance Period ◽  
Analysis Method ◽  
Quantitative Analysis Method ◽  
Periodic Replacement ◽  
The Impact ◽  
The Mathematical Model

Abstract In this paper, the delay time theory is used to establish the mathematical model of the combination of monitoring and periodic replacement tasks, and the impact of maintenance period of monitoring and periodic replacement is discussed. Through the optimization solution, the optimal cycle of combined maintenance tasks is obtained to minimize the maintenance cost while ensuring the reliability. Finally, an example is given to demonstrate the feasibility of this method.

Study on the ASTM Standard E826 and its Role in Testing Materials Homogeneity

2012 ◽  
Vol 490-495 ◽  
pp. 3628-3632
Author(s):  
Ri Bo Ning ◽  
Song Ning Xu ◽  
Qian Li
Keyword(s):  
Mathematical Model ◽  
Statistical Analysis ◽  
Local Inhomogeneity ◽  
Analysis Method ◽  
Practical Application ◽  
Astm Standard ◽  
Advantages And Disadvantages ◽  
Statistical Analysis Method ◽  
The Mathematical Model

This paper introduced the outline of ASTM standard E826, elucidated the mathematical model and features of experimental designing of this standard. The advantages and disadvantages of this standard in practical application were clarified. Some supplements and improvements were proposed for the standard. The issue of local inhomogeneity was judged with statistical analysis method.

An Optimization Algorithm for Selecting Cloud Service Partner Based on Graph Theory

2013 ◽  
Vol 347-350 ◽  
pp. 3391-3396
Author(s):  
Yan Fang Kang ◽  
Gui Hua Nie ◽  
Dong Lin Chen ◽  
Zhong Wu
Keyword(s):  
Mathematical Model ◽  
Cloud Computing ◽  
Graph Theory ◽  
Optimization Algorithm ◽  
Service Providers ◽  
Cloud Service ◽  
Cloud Service Provider ◽  
Cloud Service Providers ◽  
The Mathematical Model ◽  
Theory Solution

The cloud computing market is composed by many cloud service providers, It is a key problem about how to choose and to determine the appropriate the competitiveness partners between the major cloud service providers. For this problem we propose a optimization algorithm based on graph theory solution. First we should clearly consider the factors in choosing the partner's .On this basis we establish the mathematical model of the cloud service provider partners. How to select the tender of cloud service providers in the problem, the paper gives the optimization algorithm based on graph theory, last we give an example to verify the effectiveness of the algorithm.

scholarly journals ANALYSIS METHOD OF CALCULATION PARAMETERS OF HEAT AND MASS TRANSFER PROCESSES IN THE STIRLING ENGINE

2017 ◽  
Vol 3 ◽  
pp. 298
Author(s):  
Sergej Semyonov ◽  
Sergej Tikhonov ◽  
Mihail Donchenko ◽  
Jurij Lukyanov ◽  
Andrej Perminov
Keyword(s):  
Mathematical Model ◽  
Mass Transfer ◽  
Heat And Mass Transfer ◽  
Analysis Method ◽  
Calculation Methods ◽  
Method Of Calculation ◽  
Transfer Processes ◽  
Mass Transfer Processes ◽  
The Mathematical Model ◽  
Optimal Calculation

The article highlights the optimal calculation methods for determining the parameters of heat and mass transfer processes occurring in the rotary-vane engine with an external supply of heat. It is shown that the mathematical model of working processes must consist of two parts. One part describes the processes occurring in the isolated volume. The second part describes the processes of mass exchange between the working chambers of two modules, as well as a heater or a cooler.

scholarly journals Analysis of the structure of the site using a Web graph

2019 ◽  
Author(s):  
N. A. Guk ◽  
S. V. Dykhanov ◽  
S. F. Syryk
Keyword(s):  
Mathematical Model ◽  
Local Information ◽  
Analysis Method ◽  
Clustering Method ◽  
Site Structure ◽  
Product Categories ◽  
Structural Relationships ◽  
Web Graph ◽  
The Mathematical Model ◽  
The Web

A technique for analyzing the structure of a website based on data on hypertext links between pages is proposed. An analysis method based on the topology of links between pages was selected. The mathematical model of the website in the form of a web graph is developed. Structural relationships between pages are represented by binary values in the graph adjacency matrix. The problem of clustering is formulated. To analyze the structure of the web graph the clustering method k-means is used. A metric for determining the distance between cluster elements has been introduced. Assessment of the complexity of the algorithm is performed. Website pages correspond to hierarchical units of the structure. The structure distinguishes between pages of categories and subcategories of goods, pages of goods, and thematic articles. Types of site pages are selected as clusters. Typical pages for each cluster are selected as centroids. An iterative algorithm for constructing a web graph has been developed. The queue is selected as the data structure for storing local information when crawling pages. Testing of the proposed approach is carried out on the example of an existing online store. A division of the site pages into clusters was obtained as a result of the analysis. A division is corresponded to hierarchical elements of the structure: product categories, subcategories, product pages. The type of pages that are poorly identified by the algorithm is revealed. Using the results of clustering, you can improve the site structure during reengineering. Application of the developed methodology will improve the indexing of the site in the search engine.

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