lec 14 simple relationships

# lec 14 simple relationships - Simple Relationships for...

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Simple Relationships for Power Delivery Georgia Institute of Technology Simple Relationships for Power Delivery

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Simple Relationships for Power Delivery Signal Wires PCB or Module Active Device (IC) Package Core Circuits (Communication within IC) I/O Circuits (Communication outside IC) Core and I/O Circuits Current Vdd Gnd
Simple Relationships for Power Delivery Georgia Institute of Technology L/2 L/2 2 1 C i (a) Charging of Capacitor Core Circuits Switching; Equivalent circuit and Simplified Equivalent Circuit + V DD - + V DD - L R C (b) + v L - i t=0 L R (c) + v L - i v(t)

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Simple Relationships for Power Delivery Georgia Institute of Technology Inductive Drop – Core Circuits ) 1 ( ) / /( max R L t r DD L r e Rt LV v v - - = = RC R L << Assumption: Example: Assuming tr = 0.1n, L = 0.1nH, R = 1 , C = 1nF and VDD = 1V. The ratio L/R = 0.1RC and therefore the condition is met. The maximum voltage drop across the inductor can be obtained as 632mV. By changing the inductance value to L=0.01nH, the maximum voltage drop across the inductor can be obtained as 100mV.
Simple Relationships for Power Delivery Georgia Institute of Technology Voltage waveform across inductor v(t) t r v = 632mV v = 10mV

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Simple Relationships for Power Delivery Georgia Institute of Technology Simplified Equation for Core Circuits r DD Rt LV v = When t r >> L/R Consider an IC where the total capacitance to be charged is 10nF and the on resistance of all the transistors in parallel is 0.1 . Let the required maximum voltage drop across the inductor be 10%VDD for a rise time tr = 1ns.
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lec 14 simple relationships - Simple Relationships for...

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