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Subharmonic resonance analysis of a francis turbine-generator unit

Xiaorong Zhou

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Abstract

Taking the main shaft system of a hydraulic turbine-generator unit as object,the nonlinear global coupling dynamic equations of the main shaft system by using finite element method are established. Based on the equations,subharmonic resonance of the system is analyzed under both fluid excitation and self-excited inertial force,and the relationship between the subharmonic resonance characteristics of the main shaft system with fluid parameters is revealed. Finally,the subharmonic resonance characteristics are obtained by simulating an example.

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What this paper is about

Taking the main shaft system of a hydraulic turbine-generator unit as object,the nonlinear global coupling dynamic equations of the main shaft system by using finite element method are established. Based on the equations,subharmonic resonance of the system is analyzed under both fluid excitation and self-excited inertial force,and the relationship between the subharmonic resonance characteristics of the main shaft system with fluid parameters is revealed. Finally,the subharmonic resonance characteristics are obtained by simulating an example.

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Available abstract

Taking the main shaft system of a hydraulic turbine-generator unit as object,the nonlinear global coupling dynamic equations of the main shaft system by using finite element method are established. Based on the equations,subharmonic resonance of the system is analyzed under both fluid excitation and self-excited inertial force,and the relationship between the subharmonic resonance characteristics of the main shaft system with fluid parameters is revealed. Finally,the subharmonic resonance characteristics are obtained by simulating an example.

Key concepts: Resonance (particle physics), Nonlinear system, Subharmonic, Turbine, Coupling (piping), Generator (circuit theory), Steam turbine, Excitation

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