基于改进传递矩阵法的次同步振荡轴系扭振分析
Torsional Vibration Analysis of Shaft Systems in SSO Basedon Improved Transfer Matrix Method
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摘要: 传统Riccati传递矩阵法难以准确反映发生故障时汽轮机转子的动态特性,同时危险截面的判定主要基于交变应力幅,而忽略非零平均应力的影响可能导致疲劳损伤估算产生偏差,本文提出一种改进的评价方法,以故障前稳态运动参数为初始值,通过三点插值法实时计算各轴段非稳态下的运动状态,获得故障被检测时的真实响应,同时基于Goodman理论,在考虑平均应力的影响下,对疲劳损伤进行修正,以某600 MW汽轮发电机组的轴系为例,分析次同步频段内2种共振引起的疲劳损伤。结果表明:改进的响应计算方法显著降低了非稳态因素导致的误差;针对危险截面的判定需综合考虑次同步振荡激励的成分和强度。Abstract: The traditional Riccati transfer matrix method exhitibs significant limitations in accurately reflecting the dynamic characteristics of steam turbine rotors under fault scenarios. Additionally, the identification of critical sections primarily relies on alternating stress amplitude, while neglecting the impact of non-zero mean stress, which may lead to deviations in fatigue damage estimation. An improved method was proposed, in which the steady-state motion parameters before the fault was taken as initial values.A three-point interpolation method was then employed to calculate the motion state of each shaft segment during the non-steady interval in real time, thereby capturing the true response when the fault was detected. Meanwhile, the fatigue damage was refined by incorporating the mean-stress effect based on Goodman's theory.A 600 MW steam turbine generator shafting was analyzed as an example to evaluate the fatigue damage caused by two types of resonance in the subsynchronous frequency range. Results show that the improved response calculation method significantly reduces errors caused by unsteady factors, and the identification of critical sections requires comprehensive consideration of the components and intensity of SSO excitation.
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