Journal of Power and Energy Engineering, 2014, 2, 193-197
Published Online April 2014 in SciRes. http://www.scirp.org/journal/jpee
http://dx.doi.org/10.4236/jpee.2014.24027
How to cite this paper: Dosaev, M.Z., Klimina, L.A., Selyutskiy, Y.D., Tsai, M.-C. and Yang, H.-T. (2014) Behavior of HAWT
with Differential Planetary Gearbox. Journal of Power and Energy Engineering, 2, 193-197.
http://dx.doi.org/10.4236/jpee.2014.24027
Behavior of HAWT with Differential
Planetary Gearbox
Marat Z. Dosaev1, Liubov A. Klimina1, Yury D. Selyuts kiy1, Mi-Ching Tsai2, Hong-Tzer Yang3
1Institute of Mechanics, Lomonosov Moscow State Universit y, Moscow, Russia
2Department of Mechanical Engineering, National Cheng Kung University, Tainan City, Taiwan
3Department of Electrical Engineering, National Cheng Kung University, Tainan City, Taiwan
Email: dosayev@imec.msu.ru
Received December 2013
Abstract
A dynamic model for simulatin g beh avior of a horizontal axis wi n d turbi n e (HAWT) with differen-
tial planetary gearbox is developed. The aerodynamic load applied to the wind t urbi ne connected
with the carrier is described using the quasi-steady approach. The control torque is assumed to be
applied to the external ring of th e gearbox. Steady regimes of the device a re analy zed, and thei r
stability is studied. For the case of constant control torque, powe r costs are estimated required for
preserving constant angular speed of the generator.
Keywords
HAWT; Wind Engineering; Differential Planetary Gearbox; Stabi lity
1. Introduction
Wind power sys t ems in th e world power industry gain more and more importance for many reasons, ranging
from ecological to political. A wide scope of engineering and scientific research of w in d turbine electrodynam-
ics is reflected in numerous papers and patents ([1]).
Practical tasks in wind turbine applications o ften impose requirements on an angular speed of a rotor of a ge-
nerator. In particular, a very common requirement is to maintain angular speed of the rotor within a certain
range near a specific value. Fo r this purpose, ove rdr iv e transmission gear s are used, the most wide-sp read of
which is a planet gear. One of more advanced type s of such devices is a differential planet gear (DPG) that al-
lows controlling the output angular speed. This mechanism consists of two coaxial gearwheels with different
diameters (an external r in g and a so-called sun), several small gearwheels (so-called planets), and a carrier to
which centers of planets are connected.
Planet gears are widely used in engineering (e.g., in automotive industry). In the same time, introduction of
this mechanism into wind turbine construction can be considered as a rather new approach revealing a variety of
innovative opportunities. In particular, DPG can be used for control of a wind turbine dynamics under changing
external conditions of operation (for instance, variable wind speed or resistance of the external circuit).
In this paper, the wind power system w ith D PG is studied, and possibilities for its control are analyzed. The
mechanical system under consideration consists of a ho r iz on tal axis w ind turbine (HAWT), a DPG and a gene-