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3D Simulation and Analysis of the Radiation Tolerance of Voltage Scaled Digital Circuits Rajesh Garg Sunil P. Khatri Department of ECE Texas A&M University College Station, TX 1 Outline Background and Motivation Previous Work Simulation Setup Results and Discussions Circuit-level hardening guidelines Model for Charge collected Conclusions 2 Charge Deposition by a Radiation Particle Radiation particles - protons, neutrons, alpha particles and heavy ions Reverse biased p-n junctions are most sensitive to particle strikes Radiation Charge is collected at the Particle drain node through drift and diffusion VDD G Results in a voltage glitch S D at the drain node _ n+ n+ Depletion + System state may change Region _+ _+ E if this voltage glitch is _ + E VDD - Vjn _ captured by at least one + _ memory element _ + + _ This is called an SEU May cause system failure + p-substrate B 3 Radiation Strike Model Charge deposited (QD) by a radiation particle is given by QD 0.01036 L t where: L is the Linear Energy Transfer (MeV-cm2/mg) t is the depth of the collection volume (mm) A radiation particle strike is modeled by a current pulse as Qcoll t / t iseu (t ) (e t / t a e b ) (t a t b ) t Q = 0.1pC a = 150ps tb = 50ps where: Qcoll is the amount of charge collected (assumed Qcoll = QD in worst case analysis) ta is the collection time constant tb is the ion track establishment constant The radiation induced current always flows from n-diffusion to p-diffusion 4 Radiation Particle Strikes Radiation particle strike at the output of INV1 Implemented using 65nm PTM with VDD=1V Radiation strike: Q=100fC, ta=200ps & tb=50ps Models Radiation Particle Strike 5 Motivation Modern VLSI Designs Single Event Upsets (SEUs) or Soft Errors Vulnerable to noise effects- crosstalk, SEU, etc Troublesome for both memories and combinational logic Becoming increasingly problematic even for terrestrial designs Applications demand reliable systems Need to efficiently design radiation tolerant circuits 6 Motivation Power is becoming a major issue P Pdyn Plkg Both Pdyn and Plkg decrease atleast quadratically with decreasing supply voltages Low power/energy solutions are desired for SoCs, microprocessors, etc Decrease the supply voltage in the non-critical parts Dynamic voltage scaling (DVS) is extensively used to meet variable speed/power requirements Sub-threshold circuits are also becoming popular to implement extremely low power systems Useful for applications which can tolerate large delay 7 3D Simulations of Radiation Strikes Reliability of DVS and sub-threshold circuits important for the reliability of VLSI systems Need to analyze the effects of radiation strikes on such circuits SPICE cannot be used for this analysis Harden the circuits based on the results of this analysis The effect of a radiation particle strike is modeled, not the radiation strike itself 3D simulations of radiation particle strikes in DVS and sub-threshold circuits need to be performed for an accurate analysis (for example, obtain the fraction of QD that is collected) We performed 3D simulations of a radiation strike in an inverter implemented using a 65 nm technology for different supply voltages (from nominal value to <VT) 8 Previous Work Palau et al. 2003 studied radiation-induced transients and SER in SRAMs using a 3-D device simulation tool Irom et al. 2002 performed an experimental study of the effects of radiation strikes in PowerPC microprocessors Studied effects of different radiation particle tracks on SER Effect of voltage scaling on SER not studied Processors were implemented using 0.18 mm and 0.13 mm technologies Reduction of core voltage from 1.6 V to 1.3 V had little effect on SER Flament et al. 2004 experimentally evaluated the sensitivity of various commercial SRAMs to radiation strikes for different supply voltages (VDD) SRAMs implemented using technologies ≥ 0.18 mm with VDD ≥ 1.5 V 9 Previous Work Hazucha et al. 2000 obtained an empirical model for estimation of SER for a 0.6 mm CMOS process as a function of the critical charge and VDD through experiments and simulations A latch with diodes was used for SER measurements for VDD ≥ 2.2V 3D simulations of a radiation particle strike in diode were performed The above work was conducted in older technologies No circuit level hardening guidelines were proposed DSM technologies and voltage scaling exhibit different behavior Cannot be used to predict susceptibility of DSM devices at lower VDD 10 Simulation Setup Implemented in a 65nm bulk technology A radiation particle strike at the drain of the NMOS of INV in Simulated using Sentaurus-DEVICE Set to GND INV 3D Device Model 2X, 4X and 15X LET of heavy ions considered are 2, 10 and 20 MeV-cm2/mg out 3 different INV sizes were simulated To simulate sub-threshold and DVS circuits |VT| of the PMOS transistor is 0.365V Radiation Particle Cload Mixed-level device and circuit simulator Varied VDD from 0.35V to 1 V SPICE Model To simulate low, medium and high energy particle strikes Also simulated 4X INV with a radiation strike of LET = 2 & 10 MeV-cm2/mg (with different load capacitances) and VDD = 1V To analyze the effect of loading on the radiation susceptibility of the INV 11 NMOS Device Modeling Constructed NMOS transistors using Sentaurus-Structure editor tool Gate length 35nm, Tox = 1.2nm spacer width = 30nm A heavy ion strikes at the center of the drain Heavy Ion Punch through Halo implants V impant T implant in out1 Cload INV 3D Device Model Well Contact G D SPICE Model S 12 NMOS Device Characterization Characterized the NMOS device using Sentaurus-DEVICE Width = 1mm Good MOSFET characteristics 13 Results and Discussions Radiation strikes at the output of 4X INV for VDD = 1V Low energy particle is also capable of producing significant voltage glitch For LET = 2 the drain current looks like double exponential Most of the charge gets collected by drift process For larger LET values, there is a plateau Heavily doped substrates demonstrate charge collection due to both drift and diffusion processes– in DSM processes, substrates are heavily doped 14 Results and Discussions Q I dt A (VDD V (out )) dt collbiased electric D Reverse field is present forVG shorter duration in small devices t t1 t t1 Lower drain area – less charge is collected through diffusion G1 – If we upsize a gate to harden it, a higher value of Qcoll should be used O1 – Small devices collect less charge compared to large devices NMOS Extremely important for low voltage operation O1.1 – For low energy strikes, Qcoll remains roughly constant across different gate sizes for nominal voltage operation 15 Results and Discussions O2 – For low energy strikes, wide devices collect almost the same amount of charge across different VDD values Reverse biased electric field is present for a long duration Most of the charge gets collected within a few picoseconds after the strike G2 – For SPICE simulations and circuit hardening against low energy strikes, it is safe to assume that Qcoll remains constant across different VDD values for wide devices O2.1 – Qcoll reduces with decreasing VDD At lower VDD, the electric field is weaker than at higher VDD At higher VDD, the PMOS device is stronger hence, reverse biased electric field is present for a long duration 16 Results and Discussions O3 – The effect of radiation strikes becomes severe for VDD < 0.6V G3 – DVS should scale VDD to 2VT (~60% of nominal value) The PMOS which is primarily responsible for recovery becomes weaker at lower VDD values A circuit should be hardened at the lowest operating voltage against charge collected at that voltage Sub-threshold circuits & circuits with VDD < 2VT need aggressive protection 4X INV, VDD = 1V varying Cload O4.1 – For medium or high energy strikes, area of voltage glitch increases with increasing Cload Voltage glitch magnitude roughly independent of Cload Cload ↑ => recovery time ↑ Against common belief 17 Results and Discussions O4.2 – For low energy strikes, increasing Cload improves the radiation tolerance of INV Magnitude of the voltage glitch reduces with increasing Cload Difference in magnitude is more for low energy strikes PMOS has to recover a lower voltage swing O4.3 – Qcoll increases with increasing Cload G4 – Cload should be kept low in circuits operating in high energy radiation particle environments Contrary to conventional wisdom For low energy radiation environments, Cload should be kept high 18 Model for Charge Collected Qcoll heavily depends upon VDD, LET and gate size For SPICE level simulations and circuit hardening, worst case Qcoll is usually used May lead to pessimistic designs if this approach is used for hardening DVS circuits Need accurate models for Qcoll to improve the accuracy of SPICE simulations We propose one such model M Qcoll min( K MAX LET , KQW b1VDD b2 LET b3 ) KMAX .LET – maximum amount of charge that can be collected. KMAX is obtained from 3D simulations at nominal VDD The second term is obtained by curve fitting to the Qcoll obtained from 3D simulations Parameters of this model be added to SPICE model cards for MOSFETs 19 Model for Charge Collected Curve fitting was performed for VDD = 0.6V to 1V Applicable to circuits employing DVS For medium and high energy particle strikes – hardening needs to be performed against such particles KMAX = 0.8, KQ = 16.54 fC, b1 = 0.704, b2 = 0.9 and b3 = 0.664 Avg. Error is just 6.3% For low energy strikes, Qcoll remains almost constant For sub-threshold circuits, it is difficult to find an accurate model Charge collection efficiency is very low 20 Conclusions DVS and sub-threshold circuits are increasingly used in VLSI systems Important to analyze the effects of radiation particle strikes in these circuits Performed 3D simulations of a radiation particle strike in an INV with DVS and for sub-threshold operation Made several observations which are important to consider during radiation hardening of these circuits Harden the circuits based on this analysis Also proposed several guidelines for radiation hardening Proposed a model for Qcoll to improve accuracy of SPICE simulations – small error of 6.3% 21 Thank You 22 Backup Slides 23 Layout Guidelines In DSM technologies, a significant amount of charge is collected through diffusion Reduce the drain-substrate junction area Depends upon the drain-substrate junction area Share output diffusion node Not always possible SplitDone big device into 2 smaller devices and connect them in parallel G1 G G G G S G SD G S G2 D S G S S D S S S D S S G distance SD G S (d) apart from each Place them a certain 1 2 D2 G S1 1 2 other S When one transistor get struck by a radiation strike, the other collects very little charge Simulated INV of different sizes with D G S the NMOS transistor implemented in this manner d D G S 24 Layout Guidelines Considered vertical and angled strikes – angled towards the second transistor 45o Angled Strike Vertical Strike Single Device 4X LET=10 33.2 4X LET=20 45.8 8X LET=10 53.7 8X LET=20 78.1 15X LET=10 70.7 15X LET=20 123.7 d (mm) 2.1 4.2 30.1 30.0 39.3 39.2 48.9 48.5 67.7 67.5 60.9 60.3 109.5 108.7 % Red d = 4.2 Single Device 9.75 14.43 9.65 13.56 14.72 12.12 29.6 42.3 45.7 69.4 54.6 103.2 d (mm) 2.1 30.1 42.1 47.2 71.5 58.7 109.6 4.2 27.9 37.1 43.5 62.6 53.1 96.5 % Red d = 4.2 5.74 12.29 4.81 9.80 2.75 6.49 Vertical strike is the worst case strike for a single device Qcoll can be reduced by up to 14.5% If d is small (< 2 mm) then Qcoll is higher for angled strikes compared to vertical strikes (not shown) – use single device 25 Standard Cell Layout Guidelines Preference 1 – Reduce the output diffusion area by sharing if possible Preference 2 – Split devices, separate them by d ≥ 4 mm and connect them in parallel For a 65 nm n-well process Not applicable to devices connected in parallel PMOS devices collect less charge compared to NMOS devices because VDD of lower collection volume P Device NMOS need to be 2.6 mm separated from n-well each other by ≥ 4 mm This helps reduce Qcoll by 10-14% VSS N Device n-well P Device VDD P Device n-well N Device VSS VSS N Device 26