THE IMPACT OF HIGH ENERGY DENSITY CAPACITORS WITH METALLIZED ELECTRODE IN LARGE CAPACITOR BANKS FOR NUCLEAR FUSION APPLICATIONS

Similar documents
HIGH VOLTAGE CAPACITORS DESIGNED TO AVOID CATASTROPHIC FAILURE MODES

CRS Report for Congress

Attribution Concepts for Sub-meter Resolution Ground Physics Models

ELECTRON BEAM AND PULSED CORONA PROCESSING OF VOLATILE ORGANIC COMPOUNDS AND NITROGEN OXIDES

System Reliability Simulation and Optimization by Component Reliability Allocation

HIGH-POWER SOLID-STATE LASER: LETHALITY TESTING AND MODELING

Report Documentation Page

Analysis Comparison between CFD and FEA of an Idealized Concept V- Hull Floor Configuration in Two Dimensions. Dr. Bijan Khatib-Shahidi & Rob E.

Diagonal Representation of Certain Matrices

REGENERATION OF SPENT ADSORBENTS USING ADVANCED OXIDATION (PREPRINT)

Use of Wijsman's Theorem for the Ratio of Maximal Invariant Densities in Signal Detection Applications

DIELECTRIC STUDIES IN THE DEVELOPMENT OF HIGH ENERGY DENSITY PULSED POWER CAPACITORS *

Dynamics of Droplet-Droplet and Droplet-Film Collision. C. K. Law Princeton University

P. Kestener and A. Arneodo. Laboratoire de Physique Ecole Normale Supérieure de Lyon 46, allée d Italie Lyon cedex 07, FRANCE

The Impact of Metallized Electrodes on High Energy Density Pulse Power Capacitors

Real-Time Environmental Information Network and Analysis System (REINAS)

Predictive Model for Archaeological Resources. Marine Corps Base Quantico, Virginia John Haynes Jesse Bellavance

Design for Lifecycle Cost using Time-Dependent Reliability

Study of Electromagnetic Scattering From Material Object Doped Randomely WithThin Metallic Wires Using Finite Element Method

Thermo-Kinetic Model of Burning for Polymeric Materials

A report (dated September 20, 2011) on. scientific research carried out under Grant: FA

General Atomics Pulsed Power Capacitor Comparison Test Report

Ocean Acoustics Turbulence Study

Quantitation and Ratio Determination of Uranium Isotopes in Water and Soil Using Inductively Coupled Plasma Mass Spectrometry (ICP-MS)

High Resolution Surface Characterization from Marine Radar Measurements

Crowd Behavior Modeling in COMBAT XXI

FRACTAL CONCEPTS AND THE ANALYSIS OF ATMOSPHERIC PROCESSES

Report Documentation Page

Report Documentation Page

INTERACTION AND REMOTE SENSING OF SURFACE WAVES AND TURBULENCE

Broadband matched-field source localization in the East China Sea*

Coastal Engineering Technical Note

BENCHINGMARK AND IMPLEMENTATION OF A GENERALIZED MITL FLOW MODEL

Predicting Tropical Cyclone Formation and Structure Change

USMC Enlisted Endstrength Model

LISA: THE LASER INTERFEROMETER SPACE ANTENNA

Development and Application of Acoustic Metamaterials with Locally Resonant Microstructures

Effects of Constrictions on Blast-Hazard Areas

7. PERFORMING ORGANIZATION NAME(S) AND ADDRESS(ES) 8. PERFORMING ORGANIZATION REPORT NUMBER

Improvements in Modeling Radiant Emission from the Interaction Between Spacecraft Emanations and the Residual Atmosphere in LEO

Estimation of Vertical Distributions of Water Vapor and Aerosols from Spaceborne Observations of Scattered Sunlight

SMA Bending. Cellular Shape Memory Structures: Experiments & Modeling N. Triantafyllidis (UM), J. Shaw (UM), D. Grummon (MSU)

High-Fidelity Computational Simulation of Nonlinear Fluid- Structure Interaction Problems

HIGH ENERGY DENSITY CAPACITOR CHARACTERIZATION

Scattering of Internal Gravity Waves at Finite Topography

Review of Micro-Propulsion Ablative Devices

Fleet Maintenance Simulation With Insufficient Data

LAGRANGIAN MEASUREMENTS OF EDDY CHARACTERISTICS IN THE CALIFORNIA CURRENT

Closed-form and Numerical Reverberation and Propagation: Inclusion of Convergence Effects

Extension of the BLT Equation to Incorporate Electromagnetic Field Propagation

VLBA IMAGING OF SOURCES AT 24 AND 43 GHZ

SW06 Shallow Water Acoustics Experiment Data Analysis

Metrology Experiment for Engineering Students: Platinum Resistance Temperature Detector

On Applying Point-Interval Logic to Criminal Forensics

Molecular Characterization and Proposed Taxonomic Placement of the Biosimulant 'BG'

Z-scan Measurement of Upconversion in Er:YAG

Swash Zone Dynamics: Modeling and Data Analysis

Space- and Time-Resolved Interferometry of Plasma-Filled Rod-Pinch Diodes

Direct Numerical Simulation of Aeolian Tones

Near-Surface Cusp Confinement of Micro-Scale Plasma, Richard Wirz

Mine Burial Studies with a Large Oscillating Water-Sediment Tunnel (LOWST)

INFRARED SPECTRAL MEASUREMENTS OF SHUTTLE ENGINE FIRINGS

PIPS 3.0. Pamela G. Posey NRL Code 7322 Stennis Space Center, MS Phone: Fax:

Guide to the Development of a Deterioration Rate Curve Using Condition State Inspection Data

STUDY OF DETECTION LIMITS AND QUANTITATION ACCURACY USING 300 MHZ NMR

Curating and Maintenance of the Sediment Library and Dredge Collection

Technical Note Archive Capacitors for the Pulsed Power Industry

Comparative Analysis of Flood Routing Methods

Reverse Ion Acceleration by Laser-Matter Interaction

Erik L. Swanberg 1 and Steven G. Hoffert 2. Veridian Systems 1, Autometric 2. Sponsored by Defense Threat Reduction Agency

NAVGEM Platform Support

Volume 6 Water Surface Profiles

Wavelet Spectral Finite Elements for Wave Propagation in Composite Plates

The Navy Precision Optical Interferometer for SSA applications: an update

Understanding Near-Surface and In-cloud Turbulent Fluxes in the Coastal Stratocumulus-topped Boundary Layers

* This work was supported by the US Department of Energy. THE MARK IX GENERATOR*

Babylonian resistor networks

MTIE AND TDEV ANALYSIS OF UNEVENLY SPACED TIME SERIES DATA AND ITS APPLICATION TO TELECOMMUNICATIONS SYNCHRONIZATION MEASUREMENTS

An Ensemble of Atomic Fountains

Experimental and Theoretical Studies of Ice-Albedo Feedback Processes in the Arctic Basin

Internal Waves and Mixing in the Aegean Sea

PREDICTION OF HIGH TEMPERATURE GREASE LIFE USING A DECOMPOSITION KINETIC MODEL

Improvement of Mesoscale Numerical Weather Prediction For Coastal Regions of Complex Terrain FY2003

Nonlinear Internal Waves: Test of the Inverted Echo Sounder

Marginal Sea - Open Ocean Exchange

DIRECTIONAL WAVE SPECTRA USING NORMAL SPREADING FUNCTION

A GENERAL PROCEDURE TO SET UP THE DYADIC GREEN S FUNCTION OF MULTILAYER CONFORMAL STRUCTURES AND ITS APPLICATION TO MICROSTRIP ANTENNAS

Flocculation, Optics and Turbulence in the Community Sediment Transport Model System: Application of OASIS Results

REPORT DOCUMENTATION PAGE

SENSORS FOR MEASURING THE VOLUME SCATTERING FUNCTION OF OCEANIC WATERS

Optimizing Robotic Team Performance with Probabilistic Model Checking

Sensitivity of West Florida Shelf Simulations to Initial and Boundary Conditions Provided by HYCOM Data-Assimilative Ocean Hindcasts

HIGH PERFORMANCE CONTROLLERS BASED ON REAL PARAMETERS TO ACCOUNT FOR PARAMETER VARIATIONS DUE TO IRON SATURATION

Estimation of Vertical Distributions of Water Vapor from Spaceborne Observations of Scattered Sunlight

Shelf And Slope Sediment Transport In Strataform

Two-Dimensional Simulation of Truckee River Hydrodynamics

Discovery of Planetary Systems With SIM

Coastal Ocean Circulation Experiment off Senegal (COCES)

Experimental and Theoretical Studies of Ice-Albedo Feedback Processes in the Arctic Basin

Characterization of Caribbean Meso-Scale Eddies

Transcription:

THE IMPACT OF HIGH ENERGY DENSITY CAPACITORS WITH METALLIZED ELECTRODE IN LARGE CAPACITOR BANKS FOR NUCLEAR FUSION APPLICATIONS D. W. Larson Lawrence Livermore National Laboratory, P.O.Box 880, Mail Stop L-493 Livermore, California 94550-9900 F. w. MacDougall, X. H. Yang, P. E. Hardy Aerovox Inc., 740 Belleville Ave., New Bedford MA 02738 Summary Power supplies for Inertial Confinement Fusion (ICF) lasers require large capacitor banks. As capacitor bank size increases, reliability, expressed as Mean-Time-Between Failures (MTBF) is reduced, for a given capacitor design. Metallized electrode capacitors exhibit more predictable failure characteristics than traditional foil designs, thus increasing MTBF for some applications. In addition, their "soft" failure mode gives facility operators flexibility to schedule capacitor bank maintenance. Experience with the design and testing of a metallized electrode capacitor for a 13 MJ bank is presented. Weibull statistics are used to predict performance on the 13 MJ bank, and on a proposed 250 MJ facility. While the Beamlet capacitor data is specific to Aerovox capacitor part number KM223YW215D01, much of the information is applicable to high voltage metallized electrode capacitors in general. Introduction LLNL has built a succession of increasingly larger ICF laser facilities since 1971. The lasers provide 1 to 10 ns pulses to drive fusion targets for energy and weapons research. The existing Nova facility employs a 55 MJ capacitor bank including 2600 capacitors, each storing 12.5 kj, and 7000 capacitors each storing 3 kj. The capacitors are operated at 20 kv to 22 kv, in parallel circuits of 20 kj to 40 kj each. The discharge pulse from each circuit is roughly 6 ka, with a pulse length of 800 us. The load for the bank is 5000 xenon flashlamps in the Nd:glass laser amplifiers. The facility has been in operation since 1984, has accumulated some 5000 shots and presently experiences shots. a capacitor MTBF of roughly 150 The Beamlet laser is presently under construction and will be completed in 1994. It is powered by a 13 MJ capacitor bank, made up of 256 individual 52 kj circuits similar in design to Nova, but with only one capacitor per circuit. The output pulse from each capacitor is 13 ka peak, and 500 us wide, with less than 10% reversal. The Beamlet is designed to demonstrate the laser technology required to build the proposed National Ignition Facility. This facility, to be constructed jointly by several Department of Energy contractors, is designed to achieve ignition of a fusion target in the laboratory. It requires a 250 MJ capacitor bank arranged in circuits similar to those in the Beamlet capacitor bank. Since this will be a large, stationary facility, the size and weight of the capacitors bank Therefore, the capacitors for reliability. are of little importance. primary criteria used to choose the NIF will be cost and Metallized electrode capacitor have evolved over the last decade to their present state where they are capable of providing many of the attributes needed for large capacitor banks. The electrodes for these capacitors are a few hundred angstroms thick and are vapor deposited on a film of dielectric material. The electrodes are thin enough to see through. This type of capacitor can be designed for high energy density, high reliability, high system fault tolerance, high reversals, and relatively high peak currents. Perhaps the most endearing quality of the capacitors is the way that they fail. Instead of becoming a short circuit and rece1v1ng bank fault energy, the capacitors slowly lose capacitance. The loss of capacitance results from the loss of electrode as the capacitor goes through the normal dielectric fault and fault clearing process which occurs when the fault current attempts to drive through the metallized electrode. Millions of such clearings occur before a capacitor reaches the defined end of life. Design Impact of Metallized Electrode Capacitors The self-healing properties of the metallized electrode dielectric system results in a substantial impact in ICF capacitor bank design. The contributing factors are improved life characteristics, higher density and a "soft" failure mode. The cost of the capacitors is roughly the same as for discrete foil designs with an equivalent characteristic lifetime. The improvement in life characteristics is primarily due to a reduction in the number of early, or "infant mortality" failures in a large bank. In previous ICF facilities, the effect of early failures was minimized by choosing capacitors with characteristic lifetimes much longer than the expected bank life, and performing extensive burn-in tests. The 12.5 kj capacitors developed for Nova, for instance, have a characteristic life of 213,000 shots, while the bank life is 5,000 to 10,000 shots. In addition, each capacitor received a 500 shot burn-in test at elevated voltage conditions in an attempt to weed out units prone to early failure. Since early failures are minimized with metallized electrodes, burnin test requirements are significantly reduced. The "soft" failure mode of the metallized capacitors becomes an advantage during operation of the laser facility. Since the primary mode of failure is a gradual reduction 735

Report Documentation Page Form Approved OMB No. 0704-0188 Public reporting burden for the collection of information is estimated to average 1 hour per response, including the time for reviewing instructions, searching existing data sources, gathering and maintaining the data needed, and completing and reviewing the collection of information. Send comments regarding this burden estimate or any other aspect of this collection of information, including suggestions for reducing this burden, to Washington Headquarters Services, Directorate for Information Operations and Reports, 1215 Jefferson Davis Highway, Suite 1204, Arlington VA 22202-4302. Respondents should be aware that notwithstanding any other provision of law, no person shall be subject to a penalty for failing to comply with a collection of information if it does not display a currently valid OMB control number. 1. REPORT DATE JUN 1993 2. REPORT TYPE N/A 3. DATES COVERED - 4. TITLE AND SUBTITLE The Impact Of High Energy Density Capacitors With Metallized Electrode In Large Capacitor Banks For Nuclear Fusion Applications 5a. CONTRACT NUMBER 5b. GRANT NUMBER 5c. PROGRAM ELEMENT NUMBER 6. AUTHOR(S) 5d. PROJECT NUMBER 5e. TASK NUMBER 5f. WORK UNIT NUMBER 7. PERFORMING ORGANIZATION NAME(S) AND ADDRESS(ES) Lawrence Livermore National Laboratory, P.O.Box 880, Mail Stop L-493 Livermore, California 94550-9900 8. PERFORMING ORGANIZATION REPORT NUMBER 9. SPONSORING/MONITORING AGENCY NAME(S) AND ADDRESS(ES) 10. SPONSOR/MONITOR S ACRONYM(S) 12. DISTRIBUTION/AVAILABILITY STATEMENT Approved for public release, distribution unlimited 11. SPONSOR/MONITOR S REPORT NUMBER(S) 13. SUPPLEMENTARY NOTES See also ADM002371. 2013 IEEE Pulsed Power Conference, Digest of Technical Papers 1976-2013, and Abstracts of the 2013 IEEE International Conference on Plasma Science. Held in San Francisco, CA on 16-21 June 2013. U.S. Government or Federal Purpose Rights License. 14. ABSTRACT 15. SUBJECT TERMS 16. SECURITY CLASSIFICATION OF: 17. LIMITATION OF ABSTRACT SAR a. REPORT b. ABSTRACT c. THIS PAGE 18. NUMBER OF PAGES 4 19a. NAME OF RESPONSIBLE PERSON Standard Form 298 (Rev. 8-98) Prescribed by ANSI Std Z39-18

in capacitance, facility operators can choose when to replace capacitors by defining the end of life consistent with the facility requirements. For example, as in ICF banks, if many capacitors are connected in parallel to a common load, a small reduction in capacitance of one unit may have a negligible effect on the system operation. This capability results in a reduction in operating costs, since a capacitor failure seldom results in unplanned down time. On a user facility such as the NIF, the savings would be substantial, since each missed shot represents substantial lost revenue to the operators. Although the dominant failure mode is gradual, catastrophic failures can occur if the winding arcs to the capacitor case. Therefore, protective measures such as fuses for large parallel banks are still required. In the Beamlet facility, provisions were made to measure the peak current of each circuit on every shot. This data can be archived and plotted over many shots to identify capacitors that are beginning to fail. Additional advantages of the self-healing design are increased energy density and higher manufacturer yield. The increased density reduces the total size and weight of the capacitor bank, and simplifies handling and lifting. The combination of reduced size and increased yield, compared with foil designs, help offset the increased material cost associated with the metallized dielectric. Capacitor Design Considerations The design work for the capacitor used in Beamlet began at Aerovox in the late 1980s where a small!r&d effort yielded a successful technology demonstrator. Work on this effort and similar high energy density capacitors has resulted in the development of engineering parameters that allows the design of capacitors with consistent and highly predictable characteristics. The performance of the capacitors under normal operating conditions, overvoltage conditions, fault conditions, or any combination thereof can be determined for any given set of conditions prior to building full sized capacitors. The accuracy of the predictions can be tracked during normal use by monitoring the capacitance change. For the final design of the Beamlet capacitors, small scale capacitors were built and tested to determine the rate of degradation for the capacitors. The resultant data is shown in Figures 1 & 2 where the rate of degradation of capacitance was predicted to be 0.16%/1000 shots under normal conditions and 1%/1000 shots under fault conditions. The nominal rate of degradation, shown in Figure 3, is very close to this. Since only 25 fault shots were run on the qualification capacitors, it is difficult to determine if the large scale capacitor performance is the same as the small scale capacitors but it can be said that there was no unusual degradation measured as a result of the qualification fault current testing. This ability to demonstrate performance on a small scale level results in highly accurate predictions of capacitor performance under any set of conditions with low cost experiments. 4%r- 2% -2% -4% Aerovox Small Scale Life Testing for LLNL Capacitor Requirement ~C~a~p~a~c~it~a~nc~e~C~h~a=n~g~e~ln~~~o--------~ Average Slope 0.16% Per 1000 shots -6%L _L L _L L _L ~ -0.4% -0.6% -0.8% 0 10 20 30 40 50 Discharges {Thousands) Figure 1 Aerovox Small Scale Fault Testing For LLNL Capacitor Requirement Capacitance Change in % 0%~~----------~--~~~~~~-----------. -1% -1.2% Average Slope 1% Per 1000 Shots - 1.4% ~---------- l.t _j 0 100 200 300 Discharges At 58% Reversal {12.8 ka) Figure 2 Performance on Beamlet Tests The Beamlet project requires 256 dual-bushing capacitors, storing 52 kj each with a 22 kv charge. The requirement is that the bank survive 10,000 shots at full energy before significant maintenance is required. Qualification and acceptance tests were performed to assure reliable bank operation. For these tests, end of life was defined as a 5% reduction in capacitance from the nominal (215 11Fl value. The qualification tests were performed on three capacitors, and included a 10,000 shot test at full voltage and current, plus 25 fault mode tests. The fault mode test is equivalent to the flashlamp load shorting at the beginning of the pulse. The peak current and reversal were 22 ka and 67% respectively. The capacitance was measured with an electronic bridge every 1000 shots, and the test was continued past the defined end of life. The results of these tests are shown in Figure 3. Scatter in the data are the result of limited measurement resolution and capacitor temperature fluctuations. 60 736

LLNL Prototype Test of Beamlet Capacitors Cap Change in % 2%.-~------~~----------------------~---. 67% Reversal for Shots 20450 O% f*--3k2*j~'*do::-:---------/;' Through 204 7 5-2% F ~ -4% Failure of One -6% -8% Capacitor at 10543 Shots Due to a Broken lead Wire -10-kL L ~L_--~----~----~----~----~ 0 5 10 15 20 25 30 Thousands of Shots Figure 3 Acceptance testing was performed on 300 capacitors delivered in lots of roughly 45 units each. Each capacitor received an initial capacitance measurement, a bushing-to-case hipot test at 25 kv for one minute and a 25 shot burn-in at full normal operating conditions. The capacitance was re-measured to identify problems. Three capacitors from each lot were then subjected to a 1000 shot test. The capacitance was measured every 250 shots, and an extrapolation made to 10,000 shots to predict whether the capacitor would fail. One of the three was then tested to the full 10,000 shots. Any one failure resulted in re-testing of three additional capacitors from that lot. Any two failures would result in rejection of the entire lot. No failures were found, however one of the 10,000 shot tests came close to failing and resulted in a re-test. The data are shown in Figure 4. LLNL Acceptance Test of Aerovox Capacitors Capacitance Change 1%.-~------------~~----------------------- -2% -3% -4% -5%. ~ Fast Cap Drop Due to Manufacturing Related Defect -6%L _L L _L L _L ~ 0 2 4 6 8 Thousands of Shots Figure 4 10 12 The fault current testing done on the Beamlet capacitors is well within the capacitor's fault capability and not.enough shots were accumulated on any one capac1tor to show the expected degradation of Figure 2. Aerovox did testing on similar capacitors using more severe fault conditions. Two capacit~rs rated 22 kv, 50 kj, were tested at 22 kv, w1th 35 80,000 amps peak fault current and 80% voltage reversal. (1) The data from the testing, shown in Figure 5, indicates a controlled rate of degradation, or loss of capacitance, of 18% per 1000 shots under these fault conditions. -0.5-1 -1.5-2 -2.5 Aerovox TESTING OF TYPE KM 50 kj, 22 kv, 1 MJ/m 3 CAPACITORS at 81,500 Amps and 80% Reversal Capacitance Change in % 0,---------------~~--------------------~ + + 2025 x/ 18% DC/1000 Shots 2050 2075 Discharge Cycles X Figure 5 X X 2100 2125 The combined test data from qualification and acceptance were analyzed using Weibull statistics. The resulting Weibull function parameters are shown in Table 1 compared with the Nova capacitors. The large shape parameter results from the absence of early failures. The Weibull function can be used to predict MTBF for the bank by estimating the percentage of failures as a function of cycles. The advantage of the large Weibull shape parameter is illustrated by Figures Sa and 5b. The relative constant failure rate of the Nova capacitors during the life of the Beamlet capacitors is shown by the cumulative distribution functions plotted in Figure 6a. The expanded scale of Figure 6b, shows that for a bank lifetime below 6000 shots, the Beamlet capacitors are more reliable. Weibull Stastics Comparison of Nova and Beamlet Capacitor Banks Bank Size (MJ) Energy Density (Joules per cm3) Nova (12.5 kj Beamlet (52 kj) Scaled to Beamlet Size) 13 55 0.9 0.25 Weibull Slope 3.4 1.1 Weibull Characteristic 19,700 213,000 life Predicted MTBF 2100 316 (5000 Shots) Predicted MTBF 412 293 (10000 Shots) Actual MTBF --TBD-- 360 Table 1 737

Cumulative Weibull Distribution Function Over 30,000 Bank Shots Fraction Failed F(N) 100% 80% 60% 40% 20% 0% 0 I Beam let ~ v L /.--/_ / / Nova n 0 / v 5 m ffi m ~ 30 Bank Life in Shqts (Thousands) Figure 6a Cumulative Weibull Distribution Function Over 8,000 Bank Shots,F~ra~c~t'~lo~n~F~a~il~e;d~F~(~N~)-----,---------,~------~ 4%r 2% f----------+- 0%~~-----=~~~----_J L---------~8 0 2 4 6 Bank Life in Shots (Thousands) Figure 6b MTBF is by definition a constant but ~t will change if the defined life of the bank ls changed. MTBF vs. the defined bank life plots are shown in Figure 7 for the Beamlet and NIF banks based on the Beamlet capacitor data. Conclusions The self-healing properties of metallized electrode capacitors represent a significant advantage over discrete foil designs in large capacitor banks for ICF. A Weibull statistics analysis indicates that a reasonable MTBF is achieved without significantly over-designing the capacitor for a given application. The highly predictable performance of the capacitors allow for accurate scaling from an individual pad to a capacitor or from a capacitor to a bank. Operational convenience represents another significant advantage. Experience with Beamlet will determine whether Weibull statistics accurately describe capacitor bank life characteristics. Acknowledgment The authors gratefully acknowledge the assistance of Gary Ullery and Phil Test with the LLNL capacitor testing. References F. W. MacDougall, P. E. Hardy, P. Winsor IV, X. H. Yang - "The Impact of High Energy Density Capacitors With Metallized Electrode in Electric Launch Applications" - 4th European Symposium on Electromagnetic Launch Technology - March 4th, 1993. F. w. MacDougall, D. c. Howe, P. Winsor IV - "High Energy Density Pulsed Power Capacitors" - Advanced Pulsed Power Conference August 1, 1990. K. Whitham, B. T. Merritt, R. W. Holloway, D. G. Gritton, J. A. Oicles "NOVA Pulsed Power Systems Description and Status" -3rd IEEE International Pulsed Power Conference - June 1, 1981 Gerald J. Hahn & Samuel s. Shapiro Statistical Models in Engineering - John Wiley & Sons Inc. 1967 Library of Congress Cat. Card. No. 67-12562 MEAN TIME BETWEEN FAILURES for BEAMLET CAPACITORS M T B F 100000 10000 1000 100 10 ' " -... /L ::--... - NIF 250MJ BANK BEAM LET 13MJ BANK 0 5 10 15 20 Defined Bank Life - Shots In Thousands Figure 7 738