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In this paper we present a study on the time cost added to the grid computing as a result of the use of a coordinated checkpoint / recovery fault tolerance protocol, we aim to find a mathematical model which determined the suitable time to save t he checkpoints for application, to achieve a minimum finish time of parallel application in grid computing with faults and fault tolerance protocols, we have find this model by serial modeling to the goal errors, execution environment and the chosen fault tolerance protocol all that by Kolmogorov differential equations.
We used the general theory of electrical machines to facilitate the study and representation of the real machine and complex phenomena in which it occurs during transient situation where we represent the real machine other machine ideal equivalent to represent the physical phenomena in these model machine similar to those that occur in the real machine.
The equation of towers height calculation carryingpower transmission lines at their intersection with engineering installation is one of the methods of designing power nets,the solution of which depends on the traditional method for calculating con ductors coordinates. Sometimes this problem becomes so complicated or impossible to solve, therefore, we have to use the space solution mainly when the wind direction made an angle with these transmission lines and the points of hanging height difference. In this case it is better to use the vector method which we used at the present work. We used a mathematical model to calculate the minimum point coordination of the transmission lines curves and the minimum distance between the engineering installation and that of these transmission lines, and the suitable carrying towers heights, a cording to the permissible electrical equipment laws. So we could find the suitable towers height coordinates by using the C++ applicable program. Calculation errors between traditional and vector method reaches high value which increases with the slope angle increasing of conductors.
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