<?xml version="1.0" encoding="UTF-8"?><!DOCTYPE article  PUBLIC "-//NLM//DTD Journal Publishing DTD v3.0 20080202//EN" "http://dtd.nlm.nih.gov/publishing/3.0/journalpublishing3.dtd"><article xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" dtd-version="3.0" xml:lang="en" article-type="research article"><front><journal-meta><journal-id journal-id-type="publisher-id">OALibJ</journal-id><journal-title-group><journal-title>Open Access Library Journal</journal-title></journal-title-group><issn pub-type="epub">2333-9705</issn><publisher><publisher-name>Scientific Research Publishing</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="doi">10.4236/oalib.1106334</article-id><article-id pub-id-type="publisher-id">OALibJ-100170</article-id><article-categories><subj-group subj-group-type="heading"><subject>Articles</subject></subj-group><subj-group subj-group-type="Discipline-v2"><subject>Biomedical&amp;Life Sciences</subject><subject> Business&amp;Economics</subject><subject> Chemistry&amp;Materials Science</subject><subject> Computer Science&amp;Communications</subject><subject> Earth&amp;Environmental Sciences</subject><subject> Engineering</subject><subject> Medicine&amp;Healthcare</subject><subject> Physics&amp;Mathematics</subject><subject> Social Sciences&amp;Humanities</subject></subj-group></article-categories><title-group><article-title>
 
 
  Enhanced Power and Ground Mesh Structure for IR-Drop Reduction
 
</article-title></title-group><contrib-group><contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Vakhtang</surname><given-names>Janpoladov</given-names></name><xref ref-type="aff" rid="aff1"><sup>1</sup></xref></contrib><contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Suren</surname><given-names>Abazyan</given-names></name><xref ref-type="aff" rid="aff2"><sup>2</sup></xref></contrib></contrib-group><aff id="aff2"><addr-line>Yerevan State University, Yerevan, Armenia</addr-line></aff><aff id="aff1"><addr-line>Russian-Armenian University, Yerevan, Armenia</addr-line></aff><pub-date pub-type="epub"><day>23</day><month>04</month><year>2020</year></pub-date><volume>07</volume><issue>05</issue><fpage>1</fpage><lpage>5</lpage><history><date date-type="received"><day>18,</day>	<month>April</month>	<year>2020</year></date><date date-type="rev-recd"><day>10,</day>	<month>May</month>	<year>2020</year>	</date><date date-type="accepted"><day>13,</day>	<month>May</month>	<year>2020</year></date></history><permissions><copyright-statement>&#169; Copyright  2014 by authors and Scientific Research Publishing Inc. </copyright-statement><copyright-year>2014</copyright-year><license><license-p>This work is licensed under the Creative Commons Attribution International License (CC BY). http://creativecommons.org/licenses/by/4.0/</license-p></license></permissions><abstract><p>
 
 
  
    New enhanced power/ground mesh structure is presented for voltage drop (IR drop) reduction on power distribution network in integrated circuits (ICs). The new structure focuses on the length of the overall power/ground mesh wire pattern, reducing it by using a complex dotted line wire pattern instead of the usual mesh straps, which brings to wire length reduction on almost 40%, while via count on changed metal layer remained the same. Measurements of the voltage drop prove that with proposed mesh structure IR drop reduced about 76% for power net compared to standard mesh structure but runtime for mesh creation is increased due to more complex patterns. Proposed structure can be used in advanced technology nodes where IR drop phenomenon has become critical for performance of the ICs. 
  
 
</p></abstract><kwd-group><kwd>IR Drop</kwd><kwd> Power and Ground Mesh</kwd><kwd> Wire Length</kwd><kwd> Resistance</kwd><kwd> Measurement</kwd></kwd-group></article-meta></front><body><sec id="s1"><title>1. Introduction</title><p>The current pace of technology progress in the field of ICs brings new challenges in design and verification processes. With the shrink of technology node, in addition to the appearance of new problems, the old, already well-known phenomena, are beginning to have more and more significance in correct IC operation. In this paper, the phenomenon of voltage drop is considered. Voltage drop called IR drop is a process, when voltage from source moves to the load through mesh, created from metal wires, with some losses. IR drop impacts on circuit performance, which is a major parameter in IC market today. Customers have also tightened IR drop requirements to limit a drop of no more than 1% - 4% of the supply voltage.</p><p>Many works are focusing on IR drop problem and ways to perform fast analyzes and prediction of drop value [<xref ref-type="bibr" rid="scirp.100170-ref1">1</xref>] [<xref ref-type="bibr" rid="scirp.100170-ref2">2</xref>] [<xref ref-type="bibr" rid="scirp.100170-ref3">3</xref>], but this work is focused on changing power grid to improve IR drop. Papers [<xref ref-type="bibr" rid="scirp.100170-ref4">4</xref>] [<xref ref-type="bibr" rid="scirp.100170-ref5">5</xref>] are focused on placement and post-routing optimization for IR drop reduction. The work [<xref ref-type="bibr" rid="scirp.100170-ref6">6</xref>] describes diagonal routing in power/ground mesh, but nowadays IC design engineers commonly use orthogonal power/ground net routing. IR drop value depends on overall resistance of the power distribution network and flowing current through it. Resistance depends linearly on wire length, so we created new power/ground mesh pattern with orthogonal routing and reduced wire length. The other goal of this study is not to change the connections (vias) count of power/ground mesh.</p></sec><sec id="s2"><title>2. Standard Structure Implementation</title><p>For this study, test case was created. First iteration, as described above, is done with commonly used mesh structure shown in <xref ref-type="fig" rid="fig1">Figure 1</xref>, which is created with Metal 5 and Metal 6 metal layers. Orthogonal structure is used in order to reduce parasitic cap between metal wires, which could lead to bigger voltage drop values. Vertical and horizontal straps are connected to the power ring of the chip. Metal 6 is connected to Metal 5 through vias. Metal 1 - Metal 4 layers are used for signal and clock routing.</p><p>Main parameters for mesh creation are metal width (w), spacing (s) and pitch (p). Wire pitch parameter shows the distance between the axes of the two metal wires. Spacing is a distance between the edges of the two wires.</p><p>Standard mesh created with parameters described in <xref ref-type="table" rid="table1">Table 1</xref>.</p><p>After standard mesh implementation results were collected which are necessary for comparison with newly proposed method. Their values are demonstrated in <xref ref-type="table" rid="table2">Table 2</xref>.</p></sec><sec id="s3"><title>3. Proposed Structure</title><p>A novel method of power and ground mesh structure is proposed and shown in <xref ref-type="fig" rid="fig2">Figure 2</xref>.</p><table-wrap id="table1" ><label><xref ref-type="table" rid="table1">Table 1</xref></label><caption><title> Mesh wiring parameters</title></caption><table><tbody><thead><tr><th align="center" valign="middle"  rowspan="2"  >Parameter</th><th align="center" valign="middle"  colspan="2"  >Layer</th></tr></thead><tr><td align="center" valign="middle" >Metal 5</td><td align="center" valign="middle" >Metal 6</td></tr><tr><td align="center" valign="middle" >Pitch (p)</td><td align="center" valign="middle" >9 um</td><td align="center" valign="middle" >9 um</td></tr><tr><td align="center" valign="middle" >Spasing (s)</td><td align="center" valign="middle" >4.5 um</td><td align="center" valign="middle" >4.5 um</td></tr><tr><td align="center" valign="middle" >Width (w)</td><td align="center" valign="middle" >2 um</td><td align="center" valign="middle" >2 um</td></tr></tbody></table></table-wrap><table-wrap id="table2" ><label><xref ref-type="table" rid="table2">Table 2</xref></label><caption><title> Standard mesh reports</title></caption><table><tbody><thead><tr><th align="center" valign="middle"  rowspan="2"  >Report</th><th align="center" valign="middle"  colspan="2"  >Layer</th></tr></thead><tr><td align="center" valign="middle" >Metal 5</td><td align="center" valign="middle" >Metal 6</td></tr><tr><td align="center" valign="middle" >Metal shape count</td><td align="center" valign="middle" >231</td><td align="center" valign="middle" >248</td></tr><tr><td align="center" valign="middle" >Via count</td><td align="center" valign="middle"  colspan="2"  >17,934</td></tr><tr><td align="center" valign="middle" >Wire length</td><td align="center" valign="middle" >166,604.100 um</td><td align="center" valign="middle" >161,896.440 um</td></tr></tbody></table></table-wrap><p>The idea is to trim one of the upper layer metals between every second pair of power and ground nets, so it will look like a dashed line both for power and ground buses. Described action will lead to wire length reduction. IR drop value depends on resistance of wire mesh, so by reducing its total wire length we can reduce total resistance. Another advantage of proposed structure is keeping via count the same in mesh, so there is no loss in connection count.</p><p>Experimental results demonstrated in below chapter prove that created structure reduces length of wires in power distribution network, which brings to IR drop reduction.</p></sec><sec id="s4"><title>4. Experimental Results</title><p>As described above, new mesh structure was implemented, and general parameters (pitch, width, spasing) were kept the same for similar IR drop analyzes. After the implementation routing reports were collected for analyzes and comparison in <xref ref-type="table" rid="table3">Table 3</xref> and <xref ref-type="table" rid="table4">Table 4</xref>.</p><p>Metal shapes count significantly increased on layer Metal 6 due to cut of usual straps. Comparison of routing reports shows, that total wire length on Metal 5 and Metal 6 layers decreased by almost 40%. Via count remained the same.</p><p>To prove the effectiveness of proposed power and ground mesh structure IR drop analyzes were done. Results were collected for comparison with standard</p><table-wrap id="table3" ><label><xref ref-type="table" rid="table3">Table 3</xref></label><caption><title> Standard mesh reports</title></caption><table><tbody><thead><tr><th align="center" valign="middle"  rowspan="2"  >Report</th><th align="center" valign="middle"  colspan="2"  >Layer</th></tr></thead><tr><td align="center" valign="middle" >Metal 5</td><td align="center" valign="middle" >Metal 6</td></tr><tr><td align="center" valign="middle" >Metal shape count</td><td align="center" valign="middle" >231</td><td align="center" valign="middle" >248</td></tr><tr><td align="center" valign="middle" >Via count</td><td align="center" valign="middle"  colspan="2"  >17,934</td></tr><tr><td align="center" valign="middle" >Wire length</td><td align="center" valign="middle" >166,604.100 um</td><td align="center" valign="middle" >166,604.100 um</td></tr></tbody></table></table-wrap><table-wrap id="table4" ><label><xref ref-type="table" rid="table4">Table 4</xref></label><caption><title> Standard mesh reports</title></caption><table><tbody><thead><tr><th align="center" valign="middle" >Report</th><th align="center" valign="middle" >Layer name</th><th align="center" valign="middle" >Standard structure</th><th align="center" valign="middle" >Proposed structure</th></tr></thead><tr><td align="center" valign="middle"  rowspan="2"  >Wire length</td><td align="center" valign="middle" >Metal 5</td><td align="center" valign="middle" >166,604.100 um</td><td align="center" valign="middle" >166,604.100 um</td></tr><tr><td align="center" valign="middle" >Metal 6</td><td align="center" valign="middle" >161,896.440 um</td><td align="center" valign="middle" >98,815.120 um</td></tr><tr><td align="center" valign="middle" >Via count</td><td align="center" valign="middle" >VIA56</td><td align="center" valign="middle" >17,934</td><td align="center" valign="middle" >17,934</td></tr></tbody></table></table-wrap><table-wrap id="table5" ><label><xref ref-type="table" rid="table5">Table 5</xref></label><caption><title> IR drop comparison</title></caption><table><tbody><thead><tr><th align="center" valign="middle" >Supply net</th><th align="center" valign="middle" >Ideal voltage [v]</th><th align="center" valign="middle" >Standard mesh drop voltage [v]</th><th align="center" valign="middle" >Proposed mesh drop voltage [v]</th></tr></thead><tr><td align="center" valign="middle" >VDD (Power)</td><td align="center" valign="middle" >0.99</td><td align="center" valign="middle" >6.7e−05</td><td align="center" valign="middle" >1.6e−05</td></tr><tr><td align="center" valign="middle" >VSS (Ground)</td><td align="center" valign="middle" >0</td><td align="center" valign="middle" >7.8e−05</td><td align="center" valign="middle" >3.2e−05</td></tr></tbody></table></table-wrap><p>structure to show the improvement. For this test, supply voltage is 0.99 V and test temperature is 125˚C with fast-fast transistor technology process. Power and ground wires are named VDD and VSS correspondingly in test design. RedHawk tool for IR drop value calculation used to test the effectiveness of proposed structure.</p><p>For correct understanding of the changes, a numerical analysis of both standard and new mesh structures was performed, which is shown in the <xref ref-type="table" rid="table5">Table 5</xref>.</p><p>Based on tool calculation we can prove, that proposed structure brings huge reduction of IR drop.</p></sec><sec id="s5"><title>5. Conclusion</title><p>Observed experimental results proved the effectiveness of proposed power and ground mesh structure. Worst value decreased about 76% on power net and about 60% on ground net based on tool calculations, without loss of any via connection with expected losses in runtime, due to more complex mesh architecture. Proposed mesh can be used in designs where influence of IR drop phenomenon is critical.</p></sec><sec id="s6"><title>Conflicts of Interest</title><p>The authors declare no conflicts of interest regarding the publication of this paper.</p></sec><sec id="s7"><title>Cite this paper</title><p>Janpoladov, V. and Abazyan, S. (2020) Enhanced Power and Ground Mesh Structure for IR-Drop Reduction. Open Access Library Journal, 7: e6334. https://doi.org/10.4236/oalib.1106334</p></sec></body><back><ref-list><title>References</title><ref id="scirp.100170-ref1"><label>1</label><mixed-citation publication-type="other" xlink:type="simple">Kose, S. and Friedman, E.G. (2012) Efficient Algorithms for Fast IR Drop Analysis Exploiting Locality. Integration, 45, 149-161.  
https://doi.org/10.1016/j.vlsi.2011.09.003</mixed-citation></ref><ref id="scirp.100170-ref2"><label>2</label><mixed-citation publication-type="other" xlink:type="simple">Abazyan, S.S. and Mamikonyan, N.E. (2020) Static IR Drop Estimation on the Power Network. Open Access Library Journal, 1, 1-7.  
https://doi.org/10.4236/oalib.1105995</mixed-citation></ref><ref id="scirp.100170-ref3"><label>3</label><mixed-citation publication-type="other" xlink:type="simple">Kahng, A.B., Liu, B. and Wang, Q. (2007) Stochastic Power/Ground Supply Voltage Prediction and Optimization via Analytical Placement. IEEE Transactions on Very Large Scale Integration (VLSI) Circuits, 15, 904-912.  
https://doi.org/10.1109/TVLSI.2007.900745</mixed-citation></ref><ref id="scirp.100170-ref4"><label>4</label><mixed-citation publication-type="other" xlink:type="simple">Atulya Ratna, G. and Padma Priya, K. (2016) A Post-Routing Stage IR Drop Reduction Technique with Less Routing Resources. IEEE International Conference on Computational Intelligence and Computing Research, Chennai, 15-17 December 2016, 1-6. &lt;br /&gt;https://doi.org/10.1109/ICCIC.2016.7919634</mixed-citation></ref><ref id="scirp.100170-ref5"><label>5</label><mixed-citation publication-type="other" xlink:type="simple">Heo, S.I., Kahng, A.B., Kim, M., Wang, L. and Yang, C. (2019) Detailed Placement for IR Drop Mitigation by Power Staple Insertion in Sub-10nm VLSI. 2019 Design, Automation &amp; Test in Europe Conference &amp; Exhibition (DATE), Florence, 25-29 March 2019, 830-835. &lt;br /&gt;https://doi.org/10.23919/DATE.2019.8715096</mixed-citation></ref><ref id="scirp.100170-ref6"><label>6</label><mixed-citation publication-type="other" xlink:type="simple">Rao, L.D. and Sivasankaran, K. (2018) Power Grid Strategies for Minimum IR Drop in Multi Power Domain Design. 2018 3rd IEEE International Conference on Recent Trends in Electronics, Information &amp; Communication Technology (RTEICT), Bangalore, 18-19 May 2018, 1196-1201.  
&lt;br /&gt;https://doi.org/10.1109/RTEICT42901.2018.9012645</mixed-citation></ref></ref-list></back></article>