CAJ | 학술논문

水轮发电机组的振动问题是长期困扰广大科研工作者的一个难题,也一直是学术界研究的热点.本文针对某大型水轮发电机转子轴系,首先建立了轴系扭振的微分方程组,给出了轴系整体扭振零频的计算公式,并计算了零频数值.接着在考虑了转子静偏心、振动偏心和转动偏心的综合影响后,求得了气隙磁场能量和单边电磁拉力的表达式,并应用机电耦联系统的能量法,求得了系统由电磁力激发的组合强迫共振响应的一次近似解.最后并应用奇异性理论对分岔方程进行了分析,求得了分岔集、滞后集、双极限集和转迁集的参数区间,给出了普适开折平面和物理参数平面上的分岔图,求得了机组稳定运行区域的电磁参数.本文所得结论对水电机组的工程设计人员具有重要的指导意义.
수륜발전궤조적진동문제시장기곤우엄대과연공작자적일개난제,야일직시학술계연구적열점.본문침대모대형수륜발전궤전자축계,수선건립료축계뉴진적미분방정조,급출료축계정체뉴진령빈적계산공식,병계산료령빈수치.접착재고필료전자정편심、진동편심화전동편심적종합영향후,구득료기극자장능량화단변전자랍력적표체식,병응용궤전우련계통적능량법,구득료계통유전자력격발적조합강박공진향응적일차근사해.최후병응용기이성이론대분차방정진행료분석,구득료분차집、체후집、쌍겁한집화전천집적삼수구간,급출료보괄개절평면화물리삼수평면상적분차도,구득료궤조은정운행구역적전자삼수.본문소득결론대수전궤조적공정설계인원구유중요적지도의의.
Scientific research workers always puzzled with vibration of hydrogenerator units, and this difficult problem is also a hot spot in academic circles. Taking a model of a large hydrogenerator rotor system, the torsional vibrating differential equation set of rotor system was set up, and the calculate formula of the torsional zero-order natural frequency was derived and its value was obtained. Some influencing factors, such as static eccentric, vibrating eccentric, rotating eccentric were considered comprehensively, and the expression of magnetic field energy between air gap and disequilibrium electromagnetic force was also given. Applying the energy method of electromechanical couple system, the first order approximated solutions of composite forced resonance response were calculated. Applying the singularity theory analyzed the bifurcation equation, and calculated the parametric interval of bifurcation set, hysteresis set, double limit set and transition set, the bifurcation figures in the physical parameter plane and in universal unfolding plane were accomplished, the running stable region of electromagnetic parameters was also obtained. All these conclusions have directional meaning to the designers in this field.