开关模式电源中,当脉冲被忽略时

2022-12-30  

即使是具有固定开关频率的开关电源,也并非总是显示连续的脉冲。在某些情况下,由于各种原因,脉冲会被忽略。在考虑输出纹波电压和EMI效应时,这一点非常重要。

用于电压转换的开关稳压器通常采用可调的或固定的开关频率。这个值通常在开关稳压器IC数据手册的第一页列出。对于电源电路来说,开关频率的选择是很重要的,因为它会影响到外部无源器件的尺寸和成本。此外,开关频率还会影响可实现的转换效率。对于整个电路(不仅是功率转换器,还包括系统中的其他电路部分),开关频率的选择也非常重要。通常在整个系统受干扰最小的频率范围内选择开关频率。受印刷电路板的寄生效应影响,电源的开关频率通常通过电容和电感耦合方式与电路的许多部分耦合。

在选择了正确的开关频率之后,电路设计人员在评估实际电路时,往往会得出令人惊讶的结果。在选定的开关频率下,所设计的电路常常不能按预期开关。通常有以下两方面原因。

突发模式

许多应用需要非常高的转换效率,即使在低输出负载下也是如此。如果所需的输出功率只有几mW,开关稳压器本身的供电电流是严重不成比例的。如果以百分比表示效率,这一点尤其明显。为了提高这些情况下的效率,开关稳压器IC通常会配置特殊的突发模式。图1显示在突发模式®下,开关稳压器的电压随时间的变化。在切换到较长的暂停阶段之前,开关节点会开关一次。在这个暂停阶段,开关稳压器IC的许多功能进入睡眠模式,只需消耗极少量的电能。图1显示了开关节点电压、电感电流和输出电压。


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