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Unformatted text preview: due to each other node,
i.e., m ac
RMS(vk ) = j =1 RMS(iac )
j i∈N (j,k) 2 1/2 Ri . The problem is to choose wire widths wi that minimize the total wire area
the following speciﬁcations: (32)
i= k wk lk subject to • maximum allowable DC voltage drop at each node:
V − vk ≤ Vmax , k = 1, . . . , m, (33) dc
where V − vk is given by (31), and Vmax is a given constant. • maximum allowable power supply noise at each node:
RMS(vk ) ≤ Vmax , k = 1, . . . , m, (34) ac
where RMS(vk ) is given by (32), and Vmax is a given constant. • upper and lower bounds on wire widths:
wmin ≤ wi ≤ wmax , i = 1, . . . , n, (35) where wmin and wmax are given constants.
• maximum allowable DC current density in a wire: j ∈M(k) idc j wk ≤ ρmax , k = 1, . . . , n, (36) where M(k ) is the set of all indices of nodes downstream from resistor k , i.e., j ∈ M(k ) if
and only if Rk is in the path from node j to the root, and ρmax is a given constant.
89 • maximum allowable total DC power dissipation in supply network:...
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- Fall '13
- The Aeneid