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运放震荡和电源轨有关吗

Other Parts Discussed in Thread: OPA541

使用OPA541搭建的并联电路,参考datasheet上的figure15,我的实际电路时换成了正相输入,主运放增益为5倍。我使用±30V供电,负载为7.5R时,当输入信号(DC)在-4.92 - -4.98V之间,波形出现震荡(f=6.4MHz,Vpp= 130mV)。但是将供电改成±35V时,输入在-4.92 - -4.98V之间不会震荡,而在-5.9 - -6V之间发生震荡。所以运放稳定性是不是和运放电源轨也有关系?如果有,这种关系能不能补偿呢?