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徐宁, 马昱春, 刘佳, 陶守春. 热驱动的三维芯片电压岛布局算法研究[J]. 计算机科学技术学报, 2013, 28(4): 671-681. DOI: 10.1007/s11390-013-1367-8
引用本文: 徐宁, 马昱春, 刘佳, 陶守春. 热驱动的三维芯片电压岛布局算法研究[J]. 计算机科学技术学报, 2013, 28(4): 671-681. DOI: 10.1007/s11390-013-1367-8
Ning Xu, Yu-Chun Ma, Jia Liu, Shou-Chun Tao. Thermal-Aware Post Layout Voltage-Island Generation for 3D ICs[J]. Journal of Computer Science and Technology, 2013, 28(4): 671-681. DOI: 10.1007/s11390-013-1367-8
Citation: Ning Xu, Yu-Chun Ma, Jia Liu, Shou-Chun Tao. Thermal-Aware Post Layout Voltage-Island Generation for 3D ICs[J]. Journal of Computer Science and Technology, 2013, 28(4): 671-681. DOI: 10.1007/s11390-013-1367-8

热驱动的三维芯片电压岛布局算法研究

Thermal-Aware Post Layout Voltage-Island Generation for 3D ICs

  • 摘要: 三维芯片设计通过垂直方向的堆叠能有效的降低互连时延并提高芯片的性能,因此逐渐成为了芯片设计的研究热点,但是随着集成度的增加不可避免的带来功耗密度的增加,因此热效应成为了三维芯片设计的关键问题.多电源电压技术(MSV: Multiple Supply Voltages)在低功耗芯片设计领域已经日渐成熟,而多电源电压技术在降低动态功耗的同时可以有效地缓解热点的产生.但是电源电压的分配不仅仅受到时序性能的约束,同时由于要考虑到供电网络的资源消耗,因此往往具有相同电压的模块聚集成若干个电压岛分布.因此多电源电压设计还受到模块的物理位置的约束.尤其在三维芯片设计中,多电源电压技术的应用更为复杂,由于三维芯片温度较高,而电路的漏电流功耗以及电路的性能都会随温度的升高而恶化.因此在本文中我们在三维芯片设计中引入多电源电压设计,通过设计相应的混合整数规划模型,将温度的热优化,芯片性能优化以及供电网络消耗等设计因素进行优化.由于温度与功耗存在相互影响的关系,因此本文提出了一种迭代式的优化策略从而保证温度和功耗计算的收敛.时延结果表明,在温度驱动下的多电源电压岛生成算法能有效的降低23.64%的芯片最高温度,同时能有效的节省供电网络的消耗达到16.71%.

     

    Abstract: To reduce the interconnect delay and improve the chip performance, three-dimensional (3D) chip emerged with the rapid increasing of chip integration and chip power density. Therefore, thermal issue is one of the critical challenges in 3D IC design due to the high power density. Multiple Supply Voltages (MSV) technique provides an efficient way to optimize power consumption which in turn may alleviate the hotspots. But the voltage assignment is limited not only by the performance constraints of the design, but also by the physical layout of circuit modules since the modules with the same voltage should be gathered to reduce the power-network routing resource. Especially in 3D designs, the optimization using MSV technique becomes even more complicated since the high temperature also influences the power consumption and delay on paths. In this paper, we address the voltage-island generation problem for MSV designs in 3D ICs based on a mixed integer linear programming (MILP) model. First, we propose a general MILP formulation for voltage-island generation to optimize thermal distribution as well as power-network routing resources while maintaining the whole chip performance. With the thermal-power interdependency, an iterative optimization approach is proposed to obtain the convergence. Experimental results show that our thermal-aware voltage-island generation approach can reduce the maximal on-chip temperature by 23.64% with a reasonable runtime and save the power-network routing resources by 16.71%.

     

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