Homework 3 (Due 3/10) Submit code and report to: Xiao shi(xshi2091@gmail.com) Email Subject: EE201C_HW2_Name_UID

Power Distribution Network (PDN) can be presented as above. Problem 1: Impedance of Package Power Distribution Network [Due on March 10] equivalent circuit model Power Distribution Network (PDN) can be presented as above. Voltage Regulator Module (VRM) Package Plane Capacitance Ball Grid Array (BGA) Die Parasitic and On-die Decoupling Capacitance (ZPDN) is the impedance of the PDN associated with the path from a voltage regulator module (VRM) to the Die. Problem: Please plot the impedance (ZPDN) observed from die v.s. frequency. Indicate that at which frequency ZPDN has its peak value and the magnitude of peak value.

Problem 2: Designing Target Impedance of a PDN [Due on March 10] To lower the noise (voltage ripple), the goal of a power distribution network system design is to have impedance (ZPDN) that is low with a flat response over a desired frequency range. On-package decoupling capacitors are usually used and can be modeled as a series combination of the equivalent series inductance (ESL) capacitance of the capacitor (C). the equivalent series resistance (ESR).

Problem 2: Question 1 Q1: Assume only one type of decap is available with C=200nF, ESL=100pH, and ESR=60 mΩ and at most 30 decaps can be used. Problem: Using this type of decap, please try to show whether it is possible to make the overall ZPDN less than 50 mΩ over frequency range from 2MHz to 1GHz? If it can, show how many decaps can be used. If it cannot, explain why.

Problem 2: Question 2 Q2: In addition to the decap used in (1), assume a second type of decap (from the table below) can be used to make ZPDN less than 50 mΩ over frequency range from 2MHz to 1GHz. Problem: Please choose one type decap out of the following candidates that can help you achieve this goal. Plot the final overall impedance response over above-mentioned frequency range and show how many for each type of decaps are used in your final design. (totally maximum 30 decaps are allowed.) Candidates A B C D E C (nF) 100 50 10 ESR (mΩ) 60 25 ESL (pH) 150