scholarly journals Improved Mathematical Model of Polluted Insulators nonlinear behaviour Under AC Voltage Based on Experimental Tests

2018 ◽  
Author(s):  
MousalrezaFaramarzi Palangar ◽  
Mohammad Mirzaie
Keyword(s):  
Thermal Conductivity ◽  
Mathematical Model ◽  
Mathematical Models ◽  
Experimental Tests ◽  
The Other ◽  
Critical Voltage ◽  
Nonlinear Behaviour ◽  
New Model ◽  
The Relationship ◽  
Good Agreement

Abstract—In this paper, an improved mathematical model for flashover behavior of polluted insulators is proposed based on experimental tests. In order to determine the flashover model of polluted insulators, the relationship between conductivity and salinity of solution pollution layer of the insulator is measured. Then, the leakage of current amplitude of four common insulators versus axial, thermal conductivity and arc constants temperature was determined. The experimental tests show that top leakage distance (TLd) to bottom leakage distance (BLd) ratio of insulators has a significant effect on critical voltage and current. Therefore, critical voltage and current were modeled by TLd to BLd ratio Index (M). Also, salinity of solution pollution layer of the insulators has been applied to this model by resistance pollution parameter. On the other hand, arc constants of each insulator in new model have been identified based on experimental results. Finally, a mathematical model is intended for critical voltage against salinity of solution pollution layer of different insulators. This model depends on insulator profile. There is a good agreement between the experimental tests of pollution insulators obtained in the laboratory and values calculated from the mathematical models developed in the present study.

scholarly journals Improved Mathematical Model of Polluted Insulators nonlinear behaviour Under AC Voltage Based on Experimental Tests

2019 ◽  
Vol 2 (1) ◽  
Author(s):  
MousalrezaFaramarzi Palangar ◽  
Mohammad Mirzaie
Keyword(s):  
Thermal Conductivity ◽  
Mathematical Model ◽  
Mathematical Models ◽  
Experimental Tests ◽  
The Other ◽  
Critical Voltage ◽  
Nonlinear Behaviour ◽  
New Model ◽  
The Relationship ◽  
Good Agreement

In this paper, an improved mathematical model for flashover behavior of polluted insulators is proposed based on experimental tests. In order to determine the flashover model of polluted insulators, the relationship between conductivity and salinity of solution pollution layer of the insulator is measured. Then, the leakage of current amplitude of four common insulators versus axial, thermal conductivity and arc constants temperature was determined. The experimental tests show that top leakage distance (TLd) to bottom leakage distance (BLd) ratio of insulators has a significant effect on critical voltage and current. Therefore, critical voltage and current were modeled by TLd to BLd ratio Index (M). Also, salinity of solution pollution layer of the insulators has been applied to this model by resistance pollution parameter. On the other hand, arc constants of each insulator in new model have been identified based on experimental results. Finally, a mathematical model is intended for critical voltage against salinity of solution pollution layer of different insulators. This model depends on insulator profile. There is a good agreement between the experimental tests of pollution insulators obtained in the laboratory and values calculated from the mathematical models developed in the present study.

scholarly journals Improved Mathematical Model of Polluted Insulators nonlinear behaviour Under AC Voltage Based on Experimental Tests

2018 ◽  
Vol 1 (3) ◽  
Author(s):  
MousalrezaFaramarzi Palangar ◽  
Mohammad Mirzaie
Keyword(s):  
Thermal Conductivity ◽  
Mathematical Model ◽  
Mathematical Models ◽  
Experimental Tests ◽  
The Other ◽  
Critical Voltage ◽  
Nonlinear Behaviour ◽  
New Model ◽  
The Relationship ◽  
Good Agreement

In this paper, an improved mathematical model for flashover behavior of polluted insulators is proposed based on experimental tests. In order to determine the flashover model of polluted insulators, the relationship between conductivity and salinity of solution pollution layer of the insulator is measured. Then, the leakage of current amplitude of four common insulators versus axial, thermal conductivity and arc constants temperature was determined. The experimental tests show that top leakage distance (TLd) to bottom leakage distance (BLd) ratio of insulators has a significant effect on critical voltage and current. Therefore, critical voltage and current were modeled by TLd to BLd ratio Index (M). Also, salinity of solution pollution layer of the insulators has been applied to this model by resistance pollution parameter. On the other hand, arc constants of each insulator in new model have been identified based on experimental results. Finally, a mathematical model is intended for critical voltage against salinity of solution pollution layer of different insulators. This model depends on insulator profile. There is a good agreement between the experimental tests of pollution insulators obtained in the laboratory and values calculated from the mathematical models developed in the present study.

scholarly journals Thermal conductivity of unsaturated clay-rocks

2010 ◽  
Vol 14 (1) ◽  
pp. 91-98 ◽  
Author(s):  
D. Jougnot ◽  
A. Revil
Keyword(s):  
Thermal Conductivity ◽  
Porous Material ◽  
Solid Phase ◽  
Model Parameters ◽  
Electrical Parameters ◽  
New Model ◽  
Unsaturated Clay ◽  
Unsaturated Porous Material ◽  
Clay Rocks ◽  
Good Agreement

Abstract. The parameters used to describe the electrical conductivity of a porous material can be used to describe also its thermal conductivity. A new relationship is developed to connect the thermal conductivity of an unsaturated porous material to the thermal conductivity of the different phases of the composite, and two electrical parameters called the first and second Archie's exponents. A good agreement is obtained between the new model and thermal conductivity measurements performed using packs of glass beads and core samples of the Callovo-Oxfordian clay-rocks at different saturations of the water phase. We showed that the three model parameters optimised to fit the new model against experimental data (namely the thermal conductivity of the solid phase and the two Archie's exponents) are consistent with independent estimates. We also observed that the anisotropy of the effective thermal conductivity of the Callovo-Oxfordian clay-rock was mainly due to the anisotropy of the thermal conductivity of the solid phase.

The property market, property valuations and property performance measurement

1985 ◽  
Vol 112 (1) ◽  
pp. 19-60 ◽  
Author(s):  
David P. Hager ◽  
David J. Lord
Keyword(s):  
Mathematical Model ◽  
Mathematical Models ◽  
Performance Measurement ◽  
The Other ◽  
Property Market ◽  
Institutional Investment ◽  
Property Valuation ◽  
Valuation Method ◽  
Property Performance

1.1. The Institute has discussed papers on most aspects of institutional investment in recent years, with the notable exception of property. This is not due to the lack of importance of this investment sector to pension funds and life offices, but perhaps to the greater role of actuaries (rather than surveyors) in the other investment media and to the interest in mathematical models for gilts and equities.1.2. In this paper we have not tried to produce a mathematical model of the property market, a new valuation method for property or solutions to the extensive problems of property performance measurement and indices. We have, however, tried to pull together, in a single paper, the volumes of material on the property market and property valuation methods. We have also tried to set down some of the pitfalls of property performance measurement, which often tend to be overlooked in the relentless pursuit for more statistics in this important area.

The Prediction of Thermal Conductivity of Agricultural Residues from Straw for Biomass Energy

2013 ◽  
Vol 779-780 ◽  
pp. 1419-1422 ◽  
Author(s):  
Lin Lu ◽  
Li Jiang ◽  
Qing Feng ◽  
He Ping Wang
Keyword(s):  
Thermal Conductivity ◽  
Rice Straw ◽  
Agricultural Residues ◽  
Biomass Energy ◽  
Thermal Probe ◽  
Moisture Contents ◽  
Proposed Model ◽  
Wire Method ◽  
The Relationship ◽  
Good Agreement

Agricultural residues from straw are widely used for energy and other applications. The thermal conductivity is one of the most important thermophysical properties considered when using agricultural residues, such as rice straw, in renewable energy engineering. In this paper, the thermal conductivity of rice straw was measured using a thermal probe by the transient hot wire method at selected moisture contents, temperatures and dry densities. The moisture contents of the samples ranged from 0 to 21.47 percent wet basis and the dry densities ranged from 90.7 to 136.4 kg/m3 and the temperature ranged from 0 to 170°C. Under those conditions, the thermal conductivity was measured and analyzed. Experiment results showed that the thermal conductivity increases with the increases of the density, moisture content and temperature, and the relationship among them is approximately described in a linear way. A new model to predict the thermal conductivity of agricultural residues from straw was proposed. The calculated results by the proposed model are in good agreement with the experimental data.

Exploring Theories of Victimization Using a Mathematical Model of Burglary

2011 ◽  
Vol 48 (1) ◽  
pp. 83-109 ◽  
Author(s):  
Ashley B. Pitcher ◽  
Shane D. Johnson
Keyword(s):  
Mathematical Model ◽  
Mathematical Models ◽  
Qualitative Agreement ◽  
The Other ◽  
Residential Burglary ◽  
Foraging Activity ◽  
Good Qualitative Agreement ◽  
Agent Based ◽  
Stable Variation ◽  
Near Repeat

Research concerned with burglary indicates that it is clustered not only at places but also in time. Some homes are victimized repeatedly, and the risk to neighbors of victimized homes is temporarily elevated. The latter type of burglary is referred to as a near repeat. Two theories have been proposed to explain observed patterns. The boost hypothesis states that risk is elevated following an event reflecting offender foraging activity. The flag hypothesis, on the other hand, suggests that time-stable variation in risk provides an explanation where data for populations with different risks are analyzed in the aggregate. To examine this, the authors specify a series of discrete mathematical models of urban residential burglary and examine their outcomes using stochastic agent-based simulations. Results suggest that variation in risk alone cannot explain patterns of exact and near repeats, but that models which also include a boost component show good qualitative agreement with published findings.

scholarly journals Phenotypic Tolerance: Antibiotic Enrichment of Noninherited Resistance in Bacterial Populations

2005 ◽  
Vol 49 (4) ◽  
pp. 1483-1494 ◽  
Author(s):  
C. Wiuff ◽  
R. M. Zappala ◽  
R. R. Regoes ◽  
K. N. Garner ◽  
F. Baquero ◽  
...  
Keyword(s):  
Escherichia Coli ◽  
Mathematical Model ◽  
Mathematical Models ◽  
Antibiotic Treatment ◽  
A Priori ◽  
The Other ◽  
Bacterial Populations ◽  
Microbiological Outcome

ABSTRACT When growing bacteria are exposed to bactericidal concentrations of antibiotics, the sensitivity of the bacteria to the antibiotic commonly decreases with time, and substantial fractions of the bacteria survive. Using Escherichia coli CAB1 and antibiotics of five different classes (ampicillin, ciprofloxacin, rifampin, streptomycin, and tetracycline), we examine the details of this phenomenon and, with the aid of mathematical models, develop and explore the properties and predictions of three hypotheses that can account for this phenomenon: (i) antibiotic decay, (ii) inherited resistance, and (iii) phenotypic tolerance. Our experiments cause us to reject the first two hypotheses and provide evidence that this phenomenon can be accounted for by the antibiotic-mediated enrichment of subpopulations physiologically tolerant to but genetically susceptible to these antibiotics, phenotypic tolerance. We demonstrate that tolerant subpopulations generated by exposure to one concentration of an antibiotic are also tolerant to higher concentrations of the same antibiotic and can be tolerant to antibiotics of the other four types. Using a mathematical model, we explore the effects of phenotypic tolerance to the microbiological outcome of antibiotic treatment and demonstrate, a priori, that it can have a profound effect on the rate of clearance of the bacteria and under some conditions can prevent clearance that would be achieved in the absence of tolerance.

scholarly journals The influence of the internal ballistic pressure on the rifled barrel stress response

2020 ◽  
Vol 70 (2) ◽  
pp. 41-46
Author(s):  
Abaci Boukera ◽  
Aleksandar Kari ◽  
Damir Jerković ◽  
Nebojša Hristov
Keyword(s):  
Mathematical Model ◽  
Stress Response ◽  
Cross Section ◽  
3D Models ◽  
The Other ◽  
Firing Process ◽  
Propellant Combustion ◽  
Gun Barrel ◽  
Walled Cylinder ◽  
Good Agreement

This paper focused on the 12.7 mm gun barrel stress response caused by the pressure of the gunpowder gases. During the firing process, the barrel is loaded by different mechanical, chemical and thermal loads. In this paper except the pressure of the propellant combustion, all the other loads were ignored. The pressure loads are obtained with a mathematical model of the interior ballistic. The Lame equations for the thick-walled cylinder were used to calculate the barrel stress response. The loads are applied on a certain barrel cross-section for a defined time. Two 3D models of the barrel with and without grooves were used to perform a numerical simulation. A comparison between results for the two types of barrels shows a good agreement between the stresses obtained by the analytical and numerical methods.

scholarly journals A Study of Purchase Intention on Smartphones of Post 90s in Hong Kong

2019 ◽  
Vol 15 (6) ◽  
pp. 78
Author(s):  
Anthony Tik-Tsuen Wong
Keyword(s):  
Hong Kong ◽  
Social Influence ◽  
Quantitative Study ◽  
Purchase Intention ◽  
The Other ◽  
Brand Name ◽  
Online Questionnaire ◽  
Factors Affecting ◽  
New Model ◽  
The Relationship

Nowadays, people are willing to purchase their own smartphone and they heavily rely on their smartphone. In this case, smartphones have become the daily necessity among Hong Kong people. Also, nowadays Hong Kong people always look for the new model of smartphones, the trend of changing smartphones is still very strong. The purpose of this research is to study the factors affecting the purchase intention of smartphones of post 90s in Hong Kong. After reviewing the literature, this study chose three variables to study the relationship between brand name, price and social influence and purchase intention. An online questionnaire was adopted to carry out a quantitative study of post 90s in Hong Kong. The content of the survey included demographic factors and questions based on each variable. The result of the survey shows that there are two hypotheses are support in the study. One is the relationship between brand name and purchase intention and the other is relationship between social influence and purchase intention whilst price is not a significant factor influencing purchase intention. Therefore, it is strongly believe that management of smartphone producers and traders need to pay more attention to brand name and social influence in enhancing the purchase intention among post 90s in Hong Kong.

scholarly journals The Brandon mathematical model describing the effect of calcination and reduction parameters on specific surface area of ex-ADU UO₂ powders

2016 ◽  
Vol 6 (3) ◽  
pp. 54-59
Author(s):  
Trong Hung Nguyen ◽  
Ba Thuan Le
Keyword(s):  
Mathematical Model ◽  
Specific Surface ◽  
Surface Area ◽  
Specific Surface Area ◽  
Uranyl Carbonate ◽  
Proposed Model ◽  
And Control ◽  
The Relationship ◽  
Fabrication Parameters ◽  
Good Agreement

The report “Brandon mathematical model describing the effect of calcination and reduction parameters on specific surface area of UO2 powders” [14] has built up a mathematical model describing the effect of the fabrication parameters on SSA (Specific Surface Area) of ex-AUC (Ammonium Uranyl Carbonate) UO2 powders. In the paper, the Brandon mathematical model that describe the relationship between the essential fabrication parameters [reduction temperature (TR), calcination temperature (TC), calcination time (tC) and reduction time (tR)] and SSA of the obtained ex-ADU (Ammonium Di-Uranate) UO2 powder product has established. The proposed model was tested with Wilcoxon’s rank sum test, showing a good agreement with the experimental parameters. The proposed model can be used to predict and control the SSA of ex-ADU UO2 powders

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