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Static and Dynamic Power Tradeoff

But: for sub 45nm, voltage scaling is less viable and transistors with much higher static leakage current are commonly used: so can now be better to operate within the voltage/frequency band that works and then power off until next deadline.


Sweetspot shift in DVFS approach for higher leakage on a real-time task.
# Trade off of Hare and Tortoise for increasingly leaky technology.
# For a hard-realtime computation we known the number of clock cycles needed but should we do them quickly and halt (Archilies) or slowly and finish just in time (Tortoise).
# For a higher leakage technology, switching off as much as possible tends to become preferable to running at low supply voltage.

# Unfold=1 is baseline design. Unfold=3 uses three times more silicon. 
static_dynamic_tradeoff <- function(clock_freq, leakage, unfold, xx)
{
  op_count <- 1e5; 
  execution_time = op_count / clock_freq / (unfold ^ 0.75);   // Model: Pollack-like unfold benefit.
  vdd <- 1 + 0.5 * (clock_freq/100e6);                        // Model: Higher supply needed for higher clock.
  static_power <- leakage * vdd ^ 0.9 * unfold * 0.4;         // Model: Leakage resistance slightly increasing with Vdd.
  static_energy <- static_power * execution_time;             // Integrate static power
  dynamic_energy <- op_count * vdd ^ 2.0 / 0.5 * 1e-9;        // Use CV^2/2 for dynamic 
}

28: (C) 2008-17, DJ Greaves, University of Cambridge, Computer Laboratory.