An Increment Transfer Matrix Method for the Torsional Vibration Response of Steam Turbo-Generator Shaft System

Abstract

In order to solve nonlinear system torsion response of turbo-generator unit, an increment transfer matrix method based on step-by-step integration method and traditional transfer matrix method was put forward. The method can be directly used to analyze nonlinear differential equations. Combined with Riccati method, the increment transfer matrix method was used in a multi-mass model. And matrix equations calculating the responses of torsional vibrations were deduced. Torsional vibration resulted from the faults of short circuit and asynchronous synchronization of 600MW steam turbo-generator unit were discussed in this work by using the increment transfer matrix method which can also extend the application of transfer matrix method in nonlinear field.

Study on Dynamic Response of Torsional Vibration of Turbo-Generator Unit Caused by Short Circuit Fault

“…The most effective method to solve nonlinear system response is step-by-step integration method [3] . An increment transfer matrix method was put forward in paper [1]. So the method is introduced as follows simply.…”

“…Turbo-generator unit during operation may suffer various electrical disturbances in which short circuit fault is the most typical fault. During the period of short circuit, severe transient torque shock has effect on the shaft system, which may not lead to shaft crack directly, but it can cause fatigue damage and reduce the effective service life [1][2] . An increment transfer matrix method based on step-by-step integration method and traditional transfer matrix method was put forward in paper [1], which is used to calculate the dynamic responses of torsional vibrations in this work.…”

“…During the period of short circuit, severe transient torque shock has effect on the shaft system, which may not lead to shaft crack directly, but it can cause fatigue damage and reduce the effective service life [1][2] . An increment transfer matrix method based on step-by-step integration method and traditional transfer matrix method was put forward in paper [1], which is used to calculate the dynamic responses of torsional vibrations in this work. Combined with the complex Morlet wavelet and time-frequency contour map, the time-frequency domain characters of dynamic torque are analyzed.…”

Analysis on Torsional Vibration Characteristics of Steam Turbine Generator Shafts

“…Riccati transfer matrix method, based on the traditional transfer matrix method and proposed measures for improvement, had higher accuracy [3][4] . Shafts were divided into multi-stage systems which were composed of nodes and connecting axis sections.…”

“…The calculation accuracy of finite element method which was very complicated to model was very high. Comparatively, transfer matrix method which was easy to make programs had been widely used in actual project [1][2][3][4][5] . This article explained the four-terminal network method, Riccati transfer matrix method and finite element method respectively, and the applications of three methods in inherent characteristics analysis of turbine generator units.…”