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Using power solutions to extend battery life in MSP430 applications

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I've been reading this article: http://www.ti.com/lit/an/slyt356/slyt356.pdf

 

So, according to the article, current depends on voltage linearly.

 

How does clock speed depend on voltage?

 

The way I understand the article (and it may be entirely incorrect) that it does not;  except, not all clocks will run at all voltages:

 

For example, an MSP430 system operating 
with a 7-MHz maximum clock frequency may require the 
input voltage to be 3.3 V. If the clock speed is reduced to 
4.6 MHz, the MSP430 requires only a 2.0-V input voltage. 
If the MSP430 is placed into low-power mode, the 
required input voltage is only 1.8 V.
 

 

 

Is my understanding correct? And what happens to a clock when the voltage is too low?

 

The article does not say anything about the merits of executing faster and, as a result, sleeping more. 

 

So.. for a very slow, very low power app, which voltage is the best?

 


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