CONSTRUCTION OF OUTPUT VOLTAGE MODULATION FOR POWER SUPPLY WITH NON-LINEAR OUTPUT TRANSFORMER BY THE REDUCED ORDER MATHEMATICAL MODEL

Author(s):  
T.V. Mysak ◽  
2011 ◽  
Vol 383-390 ◽  
pp. 553-557
Author(s):  
Wang Zhen ◽  
Xue Feng Liu

For the non-linear phenomena of the switching power supply, the discrete mathematical model of current-controlled Boost DC/DC converter has been presented in this paper, according to the switch maps. The results of simulation and experiment are derived, and the variable is the current of inductor. The accuracy of the model has been verified by the results of simulation and experiment which reveales the DC / DC converters from the bifurcation and eventually to the phenomenon of chaos. The theoretical basis using or avoiding chaos is provided for the power supply design.


1974 ◽  
Vol 13 (03) ◽  
pp. 151-158 ◽  
Author(s):  
D. A. B. Lindbebo ◽  
Fr. R. Watson

Recent studies suggest the determinations of clinical laboratories must be made more precise than at present. This paper presents a means of examining benefits of improvement in precision. To do this we use a mathematical model of the effect upon the diagnostic process of imprecision in measurements and the influence upon these two of Importance of Diagnosis and Prevalence of Disease. The interaction of these effects is grossly non-linear. There is therefore no proper intuitive answer to questions involving these matters. The effects can always, however, be calculated.Including a great many assumptions the modeling suggests that improvements in precision of any determination ought probably to be made in hospital rather than screening laboratories, unless Importance of Diagnosis is extremely high.


1998 ◽  
Vol 2 ◽  
pp. 23-30
Author(s):  
Igor Basov ◽  
Donatas Švitra

Here a system of two non-linear difference-differential equations, which is mathematical model of self-regulation of the sugar level in blood, is investigated. The analysis carried out by qualitative and numerical methods allows us to conclude that the mathematical model explains the functioning of the physiological system "insulin-blood sugar" in both normal and pathological cases, i.e. diabetes mellitus and hyperinsulinism.


2021 ◽  
Vol 1 ◽  
pp. 2147-2156
Author(s):  
Pavel Livotov

AbstractThe internal crowdsourcing-based ideation within a company can be defined as an involvement of its staff, specialists, managers, and other employees, to propose solution ideas for a pre-defined problem. This paper addresses a question, how many participants of the company-internal ideation process are required to nearly reach the ideation limit for the problems with a finite number of workable solutions. To answer the research question, the author proposes a set of metrics and a non-linear ideation performance function with a positive decreasing slope and ideation limit for the closed-ended problems. Three series of experiments helped to explore relationships between the metric attributes and resulted in a mathematical model which allows companies to predict the productivity metrics of their crowdsourcing ideation activities such as quantity of different ideas and ideation limit as a function of the number of contributors, their average personal creativity and ideation efficiency of a contributors’ group.


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