CMOS inverter power consumption discussion and analysis in detail

Source: Time:2020-11-5

CMOS inverter power consumption discussion and analysis in detail

CMOS inverter power consumptiondiscussion


The static power consumption of the CMOS circuit is very low and can be ignored. The power consumption to be discussed here is mainly due to the dynamic power consumption consumed by charging and discharging the load capacitor during the switching process. Now make two assumptions:

①The input signal is a step wave. Under this assumption, the input tube and load tube will not be turned on at the same time.

②The repetition frequency of the input signal is far less than the maximum operating frequency of the inverter. The voltage on the load capacitor image.png at the end of the inverter conversion process It can reach a stable low level 0V or high level VDD. CMOS inverter power consumption discussion


In the process of charging and discharging the load capacitance of the inverter, only the load capacitanceimage.png only consumes power supply current when charging, and the load capacitor image.pngWhen discharging through the input tube, because the load tube is cut off, there is no DC path from the power supply to the ground, so the power supply current is not consumed.


It can be seen from the input waveform in Figure 2-52 that in one cycleimage.png, the load tube is turned on only when the input is low level, and the load capacitance is image.pngCharging consumes power supply current. CMOS inverter power consumption discussion, during this period of time, the energy consumed by the power supply is equal to one cycleimage.png. The specific calculation is as follows:

CMOS倒相器功耗讨论

The energy consumed in dt time is:

CMOS inverter Power consumption discussion

Because of CMOS inverted Phaser power consumption discussion

hem d so change the (2-89) formula to:

CMOS inverter power consumption discussion

To (2-90) integral, in image.pngDuring this time, the voltage across the capacitor is charged from 0 to VDD, so it will disappear during this time. span style="font-size: 18px;">The total energy consumed is:

CMOS inverter power consumption discussion

Average power consumption per cycle:

CMOS inverter power consumption discussion

f is the repetition frequency of the input pulse.


This formula indicates that when the input is a step wave, the dynamic power consumption is only related to the load capacitance, operating frequency, and power supply voltage, and has nothing to do with the parameters of the device.


In actual work, the input is not a step wave, so it will cause significant rise and fall time delays. Therefore, both MOS transistors are partially turned on at the moment of level conversion. CMOS inverter power consumption discussion, during device switching, not all current is used to charge and discharge the capacitor, and there is a direct path from the power supply to the ground, so additional power consumption is caused.image.png. In addition, there is static power consumption image.png, so the total MOS inverter Power consumption is:

image.png< br/>

image.png is The total DC leakage current, including the cut-off current of the MOS tube and the reverse leakage current of the parasitic diode, is related to the size of the devices that make up the circuit, the number of gates, and the level of technology. When the temperature rises, this kind of leakage becomes more obvious. .


Example: Consider a 50-door matrix, image.png, the repetition frequency of the input signal is CMOS Inverter power consumption discussion, total load capacitance Oimage.png , Find the total power consumption.

image.png< br/>

If a bipolar 50 gate matrix is used, the power consumption is one hundred times that of CMOS and 10 times that of PMOS. It can be seen that CMOS has the least power consumption.


In a high-speed circuit system, most of the power consumption is dynamic power consumption, while static power consumption is negligible. But when the operating frequency is very low, the static power consumption cannot be ignored compared with the dynamic power consumption.

In fact, the inverter power consumption can be approximately expressed as:

CMOS inverter Power Consumption Discussion

Among them CMOS inverter power consumption discussion is to measure the total current of the DC power supply.


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