Wind Energy Conversion. Volume VII. Effects of Tower Motion on the Dynamic Response of Windmill Rotor

摘要

The effects of tower motion on the dynamic response of a windmill rotor are studied. The blade lagging and side tower motion are taken into consideration in the analysis. The equations of motion for the system are a set of linear ordinary differential equations having periodic coefficients. The periodic coefficients of the equations of motion for a three bladed rotor are eliminated by using the multiblade coordinate transformation method. For a two bladed rotor, the equations of motion are solved by using the harmonic balance method. In addition to both methods, the Floquet Transition Matrix method is shown to be an effective way in dealing with the linear ordinary differential equations having periodic coefficients. The differences between the instability regions for a three bladed system and for a two bladed system are discussed. (ERA citation 05:018815)