Cases of exact determination of the fundamental parameters of the three-period tachogram of mine hoisting
Abstract
As is known, a completely accurate determination of the individual parameters of a three-period tachogram of mine hoisting occurs when the tachogram is a trapezoid with straight sides. Below are proposed precise methods for determining the tachogram elements for two hoisting systems, given straight sides for the acceleration period t1 and corresponding curved sides for the deceleration period t2. Precise determination of the individual elements of the three-period tachogram is possible: 1) when its sides corresponding to the acceleration and deceleration periods are straight; 2) when one side corresponding to the acceleration period is straight and the other side corresponding to the deceleration period is curved according to a sine or hyperbolic sine law, provided that the acceleration period t1 is the unknown quantity. In the article are proposed exact methods for determining the elements of the tachogram for the two hoisting systems mentioned above, given the presence of straight-line segments for the starting period t1 and corresponding curved segments for the deceleration period t2. In practice, such tachograms can be used as design ones for the case of an asynchronous hoist motor, with contactor control employing appropriately adjusted time relays.
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References
- A.P. German. Mine Hoist, 1932, pp. 50 and 4 (in Russian)
- F.N. Shklyarskii, Mining Electromechanics, Vol. II, Mine Electric Hoist, Part 2. (in Russian)
- Physical and Mechanical Foundations Principles, 1937, p. 26, expr. 50a. (in Russian)
- F.N. Shklyarskii, Mining Electromechanics, Vol. II, Mine Electric Hoist, Part 2. (in Russian)
- Physical-Mechanical Principles, 1937, p. 26, expr.49a.