Linear Model of the Electrical Energy Consumption Process of a Saw-Frame

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UDС

621.311

DOI:

10.17238/issn0536-1036.2015.5.126

Abstract

Specific energy consumption rationing in the woodworking enterprises is constructed in accordance with the decomposition of production into the items and processes by types of manufactured articles and into particular parts (devices, shop floors, the company as a whole). In accordance with this distinction, there are operating specific power requirements for every item and total specific power requirements for every process of production. The idea of the article is to outline the approach to the operating specific power requirements for the wood sawing processes in the saw-frames with regard to the probabilistic characteristics of wood raw materials. A linear mathematical model of electrical energy consumption graphic chart of cutting mechanism of a saw-frame main drive gear is proposed for the research , and the probability theory methods are used. On the basis of the probability theory methods the maximum capacity distribution laws, total and specific energy consumption for the effective and operational working cycle time, and their numerical characteristics are defined. We established the geometrical characteristics of sawed wood resources and saw-frame duty parameters dependency of factors of the energy consumption linear model. The results can be used in solving issues related to the rate making and energy consumption planning of the sawmilling processes. The key indicators of the energy consumption linear model of a saw-frame are the chance variables distributed not by Gauss' law. However, the distribution density graphic chart has approximated this law by the normal distribution law, while retaining their basic characteristics. The approximation error is not more than 0.02 %. The formulas of the electrical energy consumption indexes, depending on the geometrical characteristics of sawed wood resources are obtained.

Authors

S.P. Ageev, Doctor of Engineering, Associate Professor

Affiliation

Northern (Arctic) Federal University named after M.V. Lomonosov, Naberezhnaya Severnoy Dviny, 17, Arkhangelsk, 163002, Russia; е-mail: doctor.mart11@mail.ru

Keywords

saw-frame, working cycle of a saw-frame, capacity, absolute and specific energy consumption, density of probability distribution, geometrical characteristics of sawed wood resources.

References

1. Ageev S.P. Matematicheskoe modelirovanie protsessov raspilovki drevesiny [Mathematic Simulation of Wood Sawing Processes]. Izvestia SPbLTA, 2007, vol. 179, pp. 142–152. 2. Ageev S.P. Energeticheskaya kharakteristika elektroprivoda mekhanizma rezaniya lesopil'noy ramy [Electric Motor Drive Energy Characteristic of the Saw-Frame Cutting Mechanism]. Lesnoy zhurnal, 2009, no. 2, pp. 96–101. 3. Aleksin M.V., Sinev V.S., Pizhurin P.A., Koperin I.F., Golovkov S.I., Pavlosyuk V.A. Ekonomiya energoresursov v lesnoy i derevoobrabatyvayushchey promyshlennosti [Energy Conservationin in the Timber and Wood Industries]. Moscow, 1982. 216 p. 4. Venttsel' E.S., Ovcharov L.A. Teoriya veroyatnostey i ee inzhenernye prilozheniya: ucheb. posobie dlya vtuzov [The Theory of Chances and Its Engineering Applications]. Moscow, 2000. 480 p. 5. Hastings N.A.J., Peacock J.B. Statistical Distributions. A Handbook for Students and Practitioners. London, 1976.