VESTNIK of Samara University. Aerospace and Mechanical EngineeringVESTNIK of Samara University. Aerospace and Mechanical Engineering2542-04532541-7533Samara National Research University332610.18287/2541-7533-2016-15-4-204-215НеопределенMathematical models for evaluating the energy efficiency of ultralow power turbine drivesKalabuhovD. S.<p><span lang="EN-US">Candidate of Science (Engineering)<br />Assistant Lecturer of the Aircraft Engine Theory Department</span></p>dskalabuhov@gmail.comGrigoryevV. A.<p><span lang="EN-US">Doctor of Science (Engineering)<br />Professor of the Aircraft Engine Theory Department</span></p>va_grig@ssau.ruRad’koV. M.<p><span lang="EN-US">Candidate of Science (Engineering)<br /></span>Associate Professor of the Aircraft Engine Theory Department</p>radko@ssau.ruSamara National Research University311220161542042151002201710022017Copyright © 2017, VESTNIK of Samara University. Aerospace and Mechanical Engineering2017<p>Ultralow power turbine drives are used in aerospace and other transport equipment as energy for various units, mostly supplementary ones. The main components of the drives are an input device, a very low power turbine and an output device. Improving the efficiency of low-power turbine drives is a vital task. Energy indicators, such as power efficiency and specific working medium consumption of the working fluid are some of the most important performance indicators. The article presents configurations of axial and centripetal turbine ultra-low power, describes their basic operating and geometrical parameters that influence the energy efficiency of the drive. We present mathematical models of the efficiency of the turbines of two types, obtained from the results of gas-dynamic computational experiments. The results of statistical correlation and regression analysis of computational experiments presented in the article show the adequacy of the mathematical models. We analyzed the degree of influence of the model factors and their interactions on the changes in the efficiency of using the influence coefficients and graphical analysis of the results of the optimization parameters of the turbine.</p>Турбина сверхмалой мощноститурбоприводкритерии оценки эффективностиКПДматематическая моделькоэффициенты влиянияTurbine ultra low powerturbineefficiency estimation criteriaefficiencymathematical modelinfluence coefficients[1. Grigoriev V.A., Rad′ko V.M., Kulabuhov D.S. The analysis of the problem of increase of efficiency turbo drive of midget power condition and the way of its decision. Aerospace technic and technology. 2010. No. 7 (74). P. 168-172. (In Russ.)][2. Kalabuhov D.S., Grigoryev V.A., Rad'ko V.M. Problems of ultralow power turbine design in a turbine drive system. Vestnik of the Samara State Aerospace University. 2014. No. 5 (47), part 2. P. 189-200. (In Russ.)][3. Kalabukhov D.S. Metody i sredstva povysheniya effektivnosti turboprivodov sverkhmaloy moshchnosti pri nachal'nom proektirovanii. Avtoreferat dissertatsii na soiskanie uchenoy stepeni kand. tekh. nauk [Methods and means of improving the efficiency of ultralow power turbine drive at the initial stage of design: extended abstract of Cand. Sci. (Eng.) Dissertation]. Samara, 2014. 16 p.][4. Grigoryev V.A., Radko V.M., Kalabukhov D.S. Planning a factorial experiment for testing a single-stage ultralow power turbine. Vestnik of the Samara State Aerospace University. 2011. No. 6 (30). P. 81-91. (In Russ.)][5. Grigoryev V.A., Radko V.M., Kalabukhov D.S. Choise of the range and levels of varying the factors of the experiment plan for testing single-stage ultralow power turbine. Vestnik of the Samara State Aerospace University. 2011. No. 6 (30). P. 92-106. (In Russ.)][6. Grigorev V.A., Kalabukhov D.S., Rad'ko V.M. Numerical gas-dynamic simulation of singlestage centripetal ultralow power turbine. Herald of Aeroenginebuilding. 2013. No. 2. P. 118-124. (In Russ.)][7. Draper N., Smith H. Applied Regression Analysis. New York: Wiley, 1981. 709 p.][8. Orlov A.I. Ekonometrika [Econometrics]. Moscow: Feniks Publ., 2009. 576 p.][9. Matveev V.N., Musatkin N.F. Vybor optimal'noy velichiny sootnosheniya vysot lopatok na vykhode i vkhode v zakrytoe rabochee koleso tsentrostremitel'noy mikroturbiny. V sb.: «Proektirovanie i dovodka aviatsionnykh gazoturbinnykh dvigateley». Kuibyshev: Kuibyshev Aviation Institute Publ., 1986. P. 92-96. (In Russ.)]