Scientific paper ID 1483 : 2017/3 APPROXIMATION OF THE FULL LOAD CURVE OF AN INTERNAL COMBUSTION ENGINE WITH A CONSTANT POWERPenko Tsvetkov Petkov Abstract. Graphical charts representing the variance between the power of the engine and its torque regarding full load curve need to be drawn by specific mathematical expressions. This is d by applying the analytical approach during the calculation of the parameters of the traction speed characteristics of the automotive vehicles. Currently used mathematical relationships approximate with enough accuracy the variance of the power and torque in accordance with rpm of the crankshaft in cases when the charts are gradually changing convex curves that have no interruptions. The modern automotive vehicles are equipped with internal combustion engines (ICE) with almost constant values of power and torque within a vast areas of variation of the revolutions of the crankshaft. In such a case applying the interpolation formulas to approximate the full load curve chart of a this type of ICE doesn’t provide the d accuracy. The paper offers a model to approximate the values of characteristics (effective power and torque) to available laboratory full load curve of an engine with a constant power at a certain frequency range. The model is applied to a specific full load curve of a particular engine. Through regression analysis are determined the coefficients of approximating polynomial and the mean square deviation. The results represent a good approximation to the real full loaf curve of the engine. автотранспортно средство; двигател с вътрешно горене; скоростна характеристика; регресионен анализ; апроксимиращ полином automotive vehicle; internal combustion engine; speed characteristics; regression analysis; approximating polynomial Penko Tsvetkov PetkovBIBLIOGRAPHY[1] Benchev B. D., E. N. Dimitrov. Inzheneren eksperiment. Sofiya, VTU “Todor Kableshkov”, 2009. 240 s. ( [1] Бенчев Б. Д., Е. Н. Димитров. Инженерен експеримент. София, ВТУ “Тодор Каблешков”, 2009. 240 с. )[2] Bronshteyn I. N., K. A. Semendyaev. Spravochnik po matematike. M., Nauka, 1986, 544 s. ( [2] Бронщейн И. Н., К. А. Семендяев. Справочник по математике. М., Наука, 1986, 544 с. )[3] Voytenko V. A. Matematicheskoe modelirovanie skorostnyh harakteristik dvigatelya vnutrennego sgoraniya. Elektrotehnicheskie i kompyuternyye sistemy, № 09 (85), 2013. s. 45 – 49. ( [3] Войтенко В. А. Математическое моделирование скоростных характеристик двигателя внутреннего сгорания. Электротехнические и компьютерные системы, № 09 (85), 2013. с. 45 – 49. )[4] Dimitrov St. St. Rakovodstvo za kursova rabota po teoriya na avtomobila. S. TU, 2015. 64 s. ( [4] Димитров Ст. Ст. Ръководство за курсова работа по теория на автомобила. С. ТУ, 2015. 64 с. )[5] Dragunov G. D., A. A. Yusupov . A. Murog. Matematicheskoe predstavlenie skorostnyh harakteristik avtomobilnyh dvigateley. sp. “Dvigatelestroenie”, № 1 (239), 2010. s. 23- 25. ( [5] Драгунов Г. Д., А. А. Юсупов . А. Мурог. Математическое представление скоростных характеристик автомобильных двигателей. сп. “Двигателестроение”, № 1 (239), 2010. с. 23- 25. )[6] Ivanova V. M., V. N. Kalinina i dr. Matematicheskaya statistika, M., Vysshaya shkola, 1981. 368 s. ( [6] Иванова В. М., В. Н. Калинина и др. Математическая статистика, М., Высшая школа, 1981. 368 с. )[7] Rebrov A. Yu. Vneshnie skorostnyye harakteristiki traktornyh dizelnyh dvigateley postoyannoy moshtnosti. sp. “Mehanika ta mashinobuduvannya, № 2, 2009. s. 79 – 86. ( [7] Ребров А. Ю. Внешние скоростные характеристики тракторных дизельных двигателей постоянной мощности. сп. “Механiка та машинобудування, № 2, 2009. с. 79 – 86. )[8] Tomasz Stoeck, Karol Franciszek Abramek. Application of the Polynomial interpolation Method for determining performance Characteristics of a diesel Engine. Metrology and Measurement Systems, Vol. ХХІ (2014), № 1, рр. 157 – 168. [9] www. daf. com [10] www. iveco. com [11] www. scania. com [12] www. volvo. com

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