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Leakage Modeling and Reduction Zhen Cao, Zhe Feng EDA Lab, EE, UCLA Outline Background Threshold Voltage Variation Leakage Power Leakage Power Estimation Leakage Power Reduction Background — CMOS Generations For each generation – – – – 0.7x gate delay 0.7x dimensions 1.4x frequency 1x area (0.7*0.7*2.1) Background — Scaled CMOS Systems New generation microprocessors – – – – – augmented architecture and circuit techniques an additional 60% frequency increase (2x for each generation) higher energy consumption higher peak power dissipation higher power delivery requirement Background — Supply and threshold Valtage Scaling Supply voltage have to scale to limit the energy and power increase – – – MOS device threshold voltage have to scale to sustain the traditional 30% gate delay reduction Increase in the variation of threshold voltage – the amount of energy reduction depends on the magnitude of supply voltage scaling [Chandrakasan et al. 1992] swiching power is proportional to area × ε/distance × Vdd × Vdd × F 1*1/0.7*2.0* Vdd2 = 1.4x (Vdd = 0.7x) due to worsening short channel effects Increase leakage (exponentially) Outline Background Threshold Voltage Variation Leakage Power Leakage Power Estimation Leakage Power Reduction Threshold Voltage Variation (1) Reduced device channel length – Given technology generation, since depletion widths are predefined, the rate at which the barrier height increases as a function of distance from the source into the channel is constant – Channel length is reduced, the barrier for the majority carriers to enter the channel also is reduced – Reduced Vth Threshold Voltage Variation (2) Reduced device channel length – In other words, when the depletion charge between the source and drain terminals become a larger fraction of the channel length, the Vth reduces – In short channel transistor, the barrier height and therefore the Vth are a strong function of the Vds – In short channel devices, threshold voltage depends on the Vds Threshold Voltage Variation (3) For shorter the channel length, both channel length and drain voltage reduce this barrier height – – two-dimensional effect channel length variation → threshold voltage variation Threshold Voltage Variation (4) Measurements of threshold voltage variations Outline Background Threshold Voltage Variation Leakage Power Leakage Power Estimation Leakage Power Reduction Subthreshold Leakage Power (1) Subthreshold leakage is the current that flows between the source and drain of a MOSFET when the transistor is in the weak-inversion region picture from www.wikipedia.org Subthreshold Leakage Power (2) With technology scaling, threshold voltage has to be scaled along with supply voltage, in order to maintain performance Reduction in Vth increases the subthreshold leakage current significantly Subthreshold Leakage Power (3) Switching power vs subthreshod leakage power – – – Switching power increases by 1.4X per generation Subthreshold leakage power will increase at a very rapid rate due to its strong dependence on the Vth Subthreshold leakage power will be comparable to the switching power in the 60–65 nm node Gate Leakage Power (1) Scaling gate oxide thickness is important for controlling threshold voltage tolerances The gate cannot be considered as an ideally insulated electrode The leakage current can flow from the channel to the gate Affects the circuit functionality and increases the standby power consumption Gate Leakage Power (2) Alternatives for silicon dioxide – high-permittivity gate dielectric, metal gate, novel device structures and circuit-based techniques picture from www.legitreviews.com Quick Review Technology 0.7x Channel length ↓ Channel barrier ↓ Vds ↑ Vt variation Delay 0.7x Freq 2.0x Vdd ↓ due to power Vt ↓ due to delay Isub ↑ Outline Background Threshold Voltage Variation Leakage Power Leakage Power Estimation Leakage Power Reduction Leakage Power Estimation(1) Why? To limit the energy and the power increase Vdd have to continually scale To sustain the Delay reduction Leakage power increases Focus – Subthreshold leakage power Active leakage power Standby leakage power Solution – Statistical method Vt have to continually scale Leakage Power Estimation(2)—Present Leakage Current Estimation Techniques Just provide lower and upper bounds on the leakage current – use the expected mean leakage currents per unit width of PMOS and NMOS devices in a particular chip. – use the worst-case leakage current per unit width of PMOS and NMOS devices. Leakage Power Estimation(3)—Present Leakage Current Estimation Techniques Acceptable – – Unacceptable – – – For the old technology generation It is a negligible component. For the new technology generation As much as half. Pessimistic or optimistic What else? – The variation in within-die threshold voltage Leakage Power Estimation(4)—Leakage Current Estimation Including Within-die Variation What changes? – Assumption – Instead of the mean leakage and the worst-case leakage, the entire range should be considered. The within-die threshold voltage or channel length variation follows a normal distribution. Solution – By performing the weighted sum of devices of different leakage, we can estimate the total leakage of the chip. Leakage Power Estimation(5) —Comparison (a) existing technique (b) new technique Outline Background Threshold Voltage Variation Leakage Power Leakage Power Estimation Leakage Power Reduction Leakage Power Reduction Three main approaches – Source Biasing – Direct Vt Manipulation – Power Gating Outline Background Threshold Voltage Variation Leakage Power Leakage Power Estimation Leakage Power Reduction – – – Source Biasing Direct Vt Manipulation Power Gating Source Biasing Main idea – Bias the source terminal of an “off” transistor to exponentially reduce the leakage currents. Outline Background Threshold Voltage Variation Leakage Power Leakage Power Estimation Leakage Power Reduction – – – Source Biasing Direct Vt Manipulation Power Gating Direct Vt Manipulation(1) Main idea – Solution – – Using low Vt in devices that need high performance. Using high Vt in devices that need low leakage requirements. Two kinds – – Adjust the Vt’s of transistors within a circuit Multiple Vt Variable Vt Difficulties – Determine which part need high performance, i.e. critical, especially in the presence of process variation. Direct Vt Manipulation(2) — Multiple Vt Popular way – Dual Vt partitioning Limitations – In many optimized designs, the effectiveness is reduced. – CAD tools must be developed and integrated into the design flow to help optimize the partitioning process. – It may not reduce standby leakage currents enough for ultra low power, high performance applications. Direct Vt Manipulation(3) — Multiple Vt Difficulties – Noncritical gates which are converted to be high Vt devices can become critical gates as follows – process variation Conclusion – Other leakage reduction techniques are important. Direct Vt Manipulation(4) — Variable Vt Main idea – Rely on biasing the body terminal of the device to dynamically adjust the Vt. Solution – By applying maximum reverse biasing during the standby mode, the threshold voltage is shifted higher and subthreshold leakage current reduced. Direct Vt Manipulation(5) — Variable Vt Improvement – Reverse body bias does not scale well in nanoscale CMOS while forward body bias controls the channel better and therefore modulates the threshold voltage better. Direct Vt Manipulation(6) — Variable Vt Improvement – There exists an optimal forward bias Conclusion – Applying forward body bias in operation mode to achieve the target frequency of operation and withdrawing forward body bias in standby mode reduces leakage power is more effective. Outline Background Threshold Voltage Variation Leakage Power Leakage Power Estimation Leakage Power Reduction – – – Source Biasing Direct Vt Manipulation Power Gating Power Gating(1) Main idea – It is a dual Vt technique that is extremely effective at reducing standby leakage currents at the expense of performance penalty. Power Gating(2) Important issue – Determine the proper sizing of the gating transistor Tradeoff – Minimize silicon area overhead – Increase design complexity Questions?