On-chip power-ground inductance modeling using effective self-loop-inductance
An efficient inductance modeling approach for on-chip power-ground wires using their effective self-loop-inductances is disclosed. Instead of extracting the inductive coupling between every two parallel wires and putting this huge number inductance elements into circuit simulation, this technique determines the effective self-loop-inductance for each power or ground wire segment and only generates a circuit with these effective self-inductors for simulation. This approach greatly reduces the circuit size and makes the full-chip power-ground simulation with the consideration of inductance feasible.
1. A method comprising:
calculating effective self loop inductance for on-chip power wire segments and on-chip ground wire segments in an integrated circuit (IC) design, wherein calculating effective self-loop inductance is performed under an assumption that a current loop exists from each of the power or ground wire segments to its nearest respective ground or power wire segments with a total cross-sectional area of wire segments in the current loop equal to 1–5 times cross-sectional area of one or more of its nearest wire segments;
modeling each of the wire segments in the IC design using a self-inductor representing its calculated self-loop inductance of said each wire segment; and
simulating noise of the IC design using the self-loop inductors to represent associated wire segments.
2. The method defined in claim 1 wherein the noise comprises Delta-I noise.
3. The method defined in claim 1 wherein the design is for a wire-bumped chip.
4. The method defined in claim 1 wherein the design is for a periphery-bumped chip.
5. A method comprising:
calculating effective self loop inductance for on-chip power wire segments and on-chip ground wire segments in an integrated circuit (IC) design, wherein calculating effective self-loop inductance is performed under an assumption that a current loop exists from each of the power or ground wire segments to its nearest respective ground or power plane or mesh at a package specified in the IC design with a total cross-sectional area of wire segments in the current loop equal to 0.2–2 times cross-sectional area of the one or more of its nearest wire segments;
modeling each of the wire segments in the IC design using a self-inductor representing its calculated self-loop inductance of said each wire segment; and
simulating noise of the IC design using the self-loop inductors to represent associated wire segments.
6. The method defined in claim 5 wherein the IC design is for an area-bumped chip.
7. The method defined in claim 5 wherein the IC design is for an C4 chip.
8. A method comprising:
calculating effective self loop inductance for on-chip power wire segments and on-chip ground wire segments in an integrated circuit (IC) design;
modeling each of the wire segments in the IC design using a self-inductor representing its calculated self-loop inductance of said each wire segment;
simulating noise of the IC design using the self-loop inductors to represent associated wire segments;
partitioning at least one of the power or ground wire segments into a plurality of sub- segments;
calculating effective self-loop inductance for each of the plurality of sub-segments; and
modeling the at least one wire segment via a serial combination of the calculated effective self-loop inductances of the plurality of sub-segments.
9. An apparatus comprising:
means for calculating effective self loop inductance for on-chip power and ground wire segments in an integrated circuit (IC) design, wherein means for calculating effective self-loop inductance is performed under an assumption that a current loop exists from each of the power or ground wire segments to its nearest respective ground or power wire segments specified in the IC design with a total cross-sectional area of wire segments in the current loop equal to 1–5 times cross-sectional area of one or more of its nearest wire segments;
means for modeling each of the wire segments in the IC design using a self-inductor representing its calculated self-loop inductance of said each wire segment; and
means for simulating noise of the IC design using the self-loop inductors to represent associated wire segments.
10. The apparatus defined in claim 9 wherein the noise comprises Delta-I noise.
11. The apparatus defined in claim 9 wherein the design is for a wire-bumped chip.
12. The apparatus defined in claim 9 wherein the design is for a periphery-bumped chip.
13. An apparatus comprising:
means for calculating effective self loop inductance for on-chip power and ground wire segments in an integrated circuit (IC) design, wherein means for calculating effective self-loop inductance is performed under an assumption that a current loop exists from each of the power or ground wire segments to its nearest respective ground or power planes or mesh at a package specified in the IC design with a total cross-sectional area of wire segments in the current loop equal to 02–2 times cross-sectional area of its nearest wire segments;
means for modeling each of the wire segments in the IC design using a self-inductor representing its calculated self-loop inductance of said each wire segment; and
means for simulating noise of the IC design using the self-loop inductors to represent associated wire segments.
14. The apparatus defined in claim 13 wherein the IC design is for an area-bumped chip.
15. The apparatus defined in claim 13 wherein the IC design is for an C4 chip.
16. An apparatus comprising:
means for calculating effective self loop inductance for on-chip power and ground wire segments in an integrated circuit (IC) design;
means for modeling each of the wire segments in the IC design using a self-inductor representing its calculated self-loop inductance of said each wire segment;
means for simulating noise of the IC design using the self-loop inductors to represent associated wire segments;
means for partitioning at least one of the wire segments into a plurality of sub-segments;
means for calculating effective self-loop inductance for each of the plurality of sub- segments; and
means for modeling the at least one wire segment via a serial combination of the calculated effective self-loop inductances of the plurality of sub-segments.
17. An article of manufacture comprising a computer readable medium having computer readable code stored thereon, which, when executed by a system, causes the system to:
calculate effective self loop inductance for on-chip power and ground wire segments in an integrated circuit (IC) design, wherein calculating effective self-loop inductance is performed under an assumption that a current loop exists from each of the power or ground wire segments to its nearest respective ground or power wire segments specified in the IC design with a total cross-sectional area of wire segments in the current loop equal to 1-5 times cross-sectional area of one or more of its nearest wire segments;
model each of the wire segments in the IC design using a self-inductor representing its calculated self-loop inductance of said each wire segment; and
simulate noise of the IC design using the self-loop inductors to represent associated wire segments.
18. The article defined in claim 17 wherein the noise comprises Delta-I noise.
19. The article defined in claim 17 wherein the design is for a wire-bumped chip.
20. The article defined in claim 17 wherein the design is for a periphery-bumped chip.
21. An article of manufacture comprising a computer readable medium having computer readable code stored thereon, which, when executed by a system, causes the system to:
calculate effective self loop inductance for on-chip power and ground wire segments in an integrated circuit (IC) design, wherein calculating effective self-loop inductance is performed under an assumption that a current loop exists from each of the power or ground wire segments to its nearest respective ground or power planes or mesh at a package specified in the IC design with a total cross-sectional area of wire segments in the current loop equal to 0.2–2 times cross-sectional area of the one or more of its nearest wire segments;
model each of the wire segments in the IC design using a self-inductor representing its calculated self-loop inductance of said each wire segment; and
simulate noise of the IC design using the self-loop inductors to represent associated wire segments.
22. The article defined in claim 21 wherein the IC design is for an area-bumped chip.
23. The article defined in claim 21 wherein the IC design is for an C4 chip.
24. An article of manufacture comprising a computer readable medium having computer readable code stored thereon, which, when executed by a system, causes the system to:
calculate effective self loop inductance for on-chip power and ground wire segments in an integrated circuit (IC) design;
model each of the wire segments in the IC design using a self-inductor representing its calculated self-loop inductance of said each wire segment;
simulate noise of the IC design using the self-loop inductors to represent associated wire segments;
partition at least one of the wire segments into a plurality of sub-segments;
calculate effective self-loop inductance for each of the plurality of sub-segments; and
model the at least one wire segment via a serial combination of the calculated effective self-loop inductances of the plurality of sub-segments.