这种控制方式的优点是:恒频控制,工作在电感电流连续状态,开关管电流有效值小、EMI滤波器体积小;能抑制开关噪声;输入电流波形失真小。
主要缺点是:控制电路复杂,须用乘法器和除法器,需检测电感电流,需电流控制环路。
b.滞后电流型。工作频率可变,电流达到滞后带内发生功率开关通与断操作,使输入电流上升、下降。电流波形平均值取决于电感输入电流,波形图如图1-10(b)所示。
c.峰值电流型。工作频率变化,电流不连续(DCM)工作波形图如图1-10(c)
所示。DCM采用跟随器方法具有电路简单、易于实现的优点,但存在以下缺点:
·功率因数和输入电压Uin与输出电压Uo的比值Uin/Uo有关,即当Uin变化时,功率因数PF值也将发生变化,同时输入电流波形随Uin/Uo的加大而THD变大。
·开关管的峰值电流大(在相同容量情况下,DCM中通过开关器件的峰值电流为CCM的两倍),从而导致开关管损耗增加。所以在大功率APFC中,常采用CCM方式。
d.电压控制型。工作频率固定,电流不连续,采用固定占空比的方法,电流自动跟随电压。这种控制方法一般用在输出功率比较小的场合,另外在单级功率因数校正中多采用这种方法,工作波形图如图1-10(d)所示。
③其他控制方法
a.非线性载波控制技术。非线性载波控制(NLC)不需要采样电压,内部电路作为乘法器,即载波发生器为电流控制环产生时变参考信号。这种控制方法工作在CCM模式,可用于Flyback、Cuk、Boost等拓扑中,其调制方式有脉冲前沿调制和脉冲后沿调制。
b.单周期控制技术。单周期控制是一种非线性控制技术。该控制方法的突出特点是无论是稳态还是暂态,它都能保持受控量(通常为斩波波形)的平均值恰好等于或正比于给定值,即能在一个开关周期内,有效地抑制电源侧的扰动,既没有稳态误差,也没有暂态误差,这种控制技术可广泛应用于非线性系统的场合,不必考虑电流模式控制中的人为补偿。
c.电荷泵控制技术。利用电流互感器检测开关管的开通电流,并给检测电容充电,当充电电压达到控制电压时关闭开关管,并同时放掉检测电容上的电压,直到下一个时钟脉冲到来使开关管再次开通,控制电压与电网输入电压同相位,并按正弦规律变化。由于控制信号实际为开关电流在一个周期内的总电荷,因此称为电荷控制方式。
(4)功率因数校正电路的结构形式
功率因数校正电路(PFC)分为有源和无源两种。无源校正电路通常由大容量的电感、电容和工作于工频电源的整流器组成。有源校正电路往往工作于高频开关状态,它们的体积小、重量轻,比无源校正电路效率高。图1-1是功率因数校正电路的三种不同结构形式。不同的结构形式各有其特点,见表1-4
![](data:image/png;base64,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)
图1-11功率因数校正电路的不同形式
表1-4三种功率因数校正电路的特点
![](data:image/png;base64,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)