scholarly journals A Probabilistic Power Estimation Method for Combinational Circuits Under Real Gate Delay Model

VLSI Design ◽  
2001 ◽  
Vol 12 (1) ◽  
pp. 69-79
Author(s):  
G. Theodoridis ◽  
S. Theoharis ◽  
D. Soudris ◽  
C. Goutis

Our aim is the development of a novel probabilistic method to estimate the power consumption of a combinational circuit under real gate delay model handling temporal, structural and input pattern dependencies. The chosen gate delay model allows handling both the functional and spurious transitions. It is proved that the switching activity evaluation problem assuming real gate delay model is reduced to the zero delay switching activity evaluation problem at specific time instances. A modified Boolean function, which describes the logic behavior of a signal at any time instance, including time parameter is introduced. Moreover, a mathematical model based on Markov stochastic processes, which describes the temporal and spatial correlation in terms of the associated zero delay based parameters is presented. Based on the mathematical model and considering the modified Boolean function, a new algorithm to evaluate the switching activity at specific time instances using Ordering Binary Decision Diagrams (OBBDs) is also presented. Comparative study of benchmark circuits demonstrates the accuracy and efficiency of the proposed method.

2021 ◽  
Vol 3 (44) ◽  
pp. 111-115
Author(s):  
Tat’yana R. Gallyamova ◽  

When developing modern lighting technologies for objects of the agro-industrial complex, the problem arises of assessing the contribution of reflected light to the normalized illumination. The reflective properties of the surfaces of materials are characterized by a reflection coefficient ρ, which reaches a value of 0.7. This allows us to consider the reflective surfaces as an additional light source and the possibility of reducing energy consumption costs. (Research purpose) The research purpose is in developing a mathematical model that allows us to estimate the spectral reflection coefficient ρ(λ) of materials of construction technologies of the agro-industrial complex in the ultraviolet and visible spectral regions. (Materials and methods) That the disadvantage of various models is the lack of an analytical method for calculating the reflection coefficient in a wide range of wavelengths. We used a probabilistic method to overcome this disadvantage. (Results and discussion) The developed mathematical model makes it possible to estimate the reflection coefficient of the rough surface of materials in a wide range of the spectrum. For concrete, the area of agreement between theory and experiment is in the wavelength range from 250 to 1000 nm. The saturation mode predicted by the theory (the independence of the reflection coefficient from the wavelength) at a reflection coefficient of 0.4 is consistent with the experimental values in the visible range of the spectrum for construction materials of the agro-industrial complex, in particular, gray textured concrete, gray facade paint, light wood, gray silicate brick, new plaster without whitewash. (Conclusions) In the case of normal light incidence, the developed mathematical model allows us to theoretically estimate the reflection coefficient of the rough surfaces of construction technologies of the agro-industrial complex. The proposed model can be used in the development and design of a system of technological lighting of large-area premises (for example, when keeping birds on the floor), as well as for developing recommendations for reducing the energy consumption of existing lighting systems.


Processes ◽  
2020 ◽  
Vol 8 (5) ◽  
pp. 604 ◽  
Author(s):  
Liang Wang ◽  
Xiaoyan Sun ◽  
Li Xia ◽  
Jianping Wang ◽  
Shuguang Xiang

Reactive distillation is a technical procedure that promotes material strengthening and its simulation plays an important role in the design, research, and optimization of reactive distillation. The solution to the equilibrium mathematical model of the reactive distillation process involves the calculation of a set of nonlinear equations. In view of the mutual influence between reaction and distillation, the nonlinear enhancement of the mathematical model and the iterative calculation process are prone to fluctuations. In this study, an improved Inside–Out method was proposed to solve the reaction distillation process. The improved Inside–Out methods mainly involved—(1) the derivation of a new calculation method for the K value of the approximate thermodynamic model from the molar fraction summation equation and simplifying the calculation process of the K value, as a result; and (2) proposal for an initial value estimation method suitable for the reactive distillation process. The algorithm was divided into two loop iterations—the outer loop updated the relevant parameters and the inside loop solved the equations, by taking the isopropyl acetate reactive distillation column as an example for verifying the improved algorithm. The simulation results presented a great agreement with the reference, and only the relative deviation of the reboiler heat duty reached 2.57%. The results showed that the calculation results were accurate and reliable, and the convergence process was more stable.


2012 ◽  
Vol 523-524 ◽  
pp. 656-661
Author(s):  
Yasunori Sakai ◽  
Masaomi Tsutsumi

The vibration damping of guide ways is an important factor in the design of feed drive mechanisms for machine tools. Linear rolling bearings are often used as guide ways because of their low friction. However, there are no quantitative evaluation methods for its damping. Thus, this paper describes a quantitative estimation method for the stiffness and damping capacity of a linear roller guide through an experiment and a mathematical model. The stiffness and damping coefficient of the linear roller guide are identified through the frequency resonance function and mathematical model of the feed drive mechanism. It is shown that a lubricant film can effectively increase the stiffness and damping capacity of the linear roller guide.


Author(s):  
Florentin Dartu ◽  
Noel Menezes ◽  
Jessica Qian ◽  
Lawrence T. Pillage

1997 ◽  
Vol 18 (6) ◽  
pp. 275-277 ◽  
Author(s):  
Kai Chen ◽  
Chenming Hu ◽  
Peng Fang ◽  
A. Gupta

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