Modeling Li/CF X -SVO Hybrid-Cathode Batteries
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University of South Carolina Scholar Commons Faculty Publications Chemical Engineering, Department of 2007 Modeling Li/CFx-SVO Hybrid-Cathode Batteries Parthasarathy M. Gomadam Donald R. Merritt Erik R. Scott Craig L. Schmidt Paul M. Skarstad See next page for additional authors Follow this and additional works at: https://scholarcommons.sc.edu/eche_facpub Part of the Chemical Engineering Commons Publication Info Journal of the Electrochemical Society, 2007, pages A1058-A1064. © The Electrochemical Society, Inc. 2007. All rights reserved. Except as provided under U.S. copyright law, this work may not be reproduced, resold, distributed, or modified without the express permission of The Electrochemical Society (ECS). The ra chival version of this work was published in the Journal of the Electrochemical Society. http://www.electrochem.org/ Publisher's link: http://dx.doi.org/10.1149/1.2779963 DOI: 10.1149/1.2779963 This Article is brought to you by the Chemical Engineering, Department of at Scholar Commons. It has been accepted for inclusion in Faculty Publications by an authorized administrator of Scholar Commons. For more information, please contact [email protected]. Author(s) Parthasarathy M. Gomadam, Donald R. Merritt, Erik R. Scott, Craig L. Schmidt, Paul M. Skarstad, and John W. Weidner This article is available at Scholar Commons: https://scholarcommons.sc.edu/eche_facpub/120 A1058 Journal of The Electrochemical Society, 154 ͑11͒ A1058-A1064 ͑2007͒ 0013-4651/2007/154͑11͒/A1058/7/$20.00 © The Electrochemical Society Modeling Li/CFx-SVO Hybrid-Cathode Batteries Parthasarathy M. Gomadam,a,*,z Donald R. Merritt,a,* Erik R. Scott,a,* Craig L. Schmidt,a,* Paul M. Skarstad,a,* and John W. Weidnerb,* aMedtronic Energy and Component Center, Brooklyn Center, Minnesota 55430, USA bCenter for Electrochemical Engineering, Department of Chemical Engineering, University of South Carolina, Columbia, South Carolina 29208, USA A mathematical model is developed that predicts the voltage-capacity behavior of a primary lithium battery containing a hybrid ͑ ͒ cathode, which combines the high energy density of carbon monofluoride CFx and the higher power density of silver vanadium oxide ͑SVO͒. The model is developed using material balances and kinetic expressions for each material, extracting kinetic and thermodynamic parameters from data collected on CFx and SVO batteries, and then integrating this information into a hybrid system. The full model is validated by comparing simulations to experimental data on Li/CFx-SVO hybrid-cathode batteries of various designs and for a range of discharge currents. The model closely agrees with the data up to moderate discharge rates, beyond which the model overpredicts voltage as ignored phenomena ͑mainly, ohmic resistance͒ become important. © 2007 The Electrochemical Society. ͓DOI: 10.1149/1.2779963͔ All rights reserved. Manuscript submitted June 1, 2007; revised manuscript received July 30, 2007. Available electronically September 24, 2007. Modern implantable medical devices such as pacemakers and and kinetic parameters, the model simulations are first fit to dis- neurostimulators offer an ever-increasing array of therapies and fea- charge data from Li/CFx and Li/SVO batteries. The model simula- 1 tures that improve the management of disease states. These features tions are then compared to discharge curves from Li/CFx-SVO ͑e.g., increased computational power, sensing and long-distance te- hybrid-cathode batteries of various mix ratios, electrode thicknesses lemetry͒ demand the device batteries to be increasingly high-power and geometric areas. Finally, limits on discharge rates and battery capable, without compromising on the excellent energy density pro- design are established, within which the model accurately predicts vided by traditional Li/I2 batteries. One possible solution, the Li/ performance. silver vanadium oxide ͑SVO͒ battery, has attractive attributes such as high power density and a stepped voltage-capacity curve with a Experimental plateau near the end of discharge. ͑The latter feature provides an The data used in developing and validating the model were ob- ample and reliable end-of-service warning for device replacement tained from the batteries listed in Table I. The batteries were all prior to battery depletion.2-6͒ Therefore, the Li/SVO battery is the cathode limited but differed in mix ratio, electrode thickness, or present state-of-the-art power source for implantable cardioverter geometric area and, therefore, in cathode mass and capacity. The defibrillators, which demand peak power loads as high as 10 W mass and capacity of the active materials are related by Faraday’s from the battery. However, for devices in which such high power is law, taking into account that CFx and SVO consume 1 and 6 equiva- not needed, the Li/SVO battery may be less attractive because its lents of Li, respectively. The maximum capacity is the sum of the energy density is substantially lower than the Li/I2 battery. Another individual capacities, and the mix ratio is the ratio of the individual possible solution is the Li/CFx battery, which has comparable en- capacities. The cathode is a porous pellet made of CFx,SVO,and ergy density to the Li/I2 battery, although lower power density than inert materials pressed onto the current collector. The separator is the Li/SVO battery. Further, an end-of-service warning is relatively inert porous polyethylene, and the anode is Li metal pressed onto a more difficult with the Li/CFx battery because its voltage-capacity current collector. The pores of the cathode and separator are ͑ ␥ curve remains nearly flat for most of discharge and falls off steeply flood-filled with electrolyte 1 M LiBF4 in -butyrolactone/ near the end. dimethoxyethane͒ with excess filling the headspace and other voids In recent years, Medtronic introduced a battery whose cathode in the can. contains a mixture of CFx and SVO, preserving the best properties During operation the batteries were maintained at 37°C and dis- of each ͑namely, high energy and power densities, respectively͒. charged at various currents. For some of the low discharge currents This battery, known as the Li/CFx-SVO hybrid-cathode battery, has used here, it would have taken years to generate a full voltage- comparable energy density to Li/I2, but with about two orders of capacity curve. Therefore, to generate these lower-rate discharge magnitude greater power density.1,7 In addition, the hybrid-cathode curves, sets of batteries were discharged at higher currents to differ- battery exhibits the same voltage plateau near the end of discharge ent depths of discharge, after which the current was switched to the as the Li/SVO battery, allowing for a convenient and reliable end- given lower value. This resulted in discontinuous discharge curves of-service warning. By modulating the mix ratio of CFx and SVO, that were pieced together to form complete discharge curves. one can tune the battery’s power-energy characteristic as well as the Model Development time interval between end-of-service warning and battery depletion. To characterize lithium batteries containing hybrid cathodes, a Assumptions.— The following assumptions were made in devel- mathematical model was developed that predicts battery perfor- oping the models for Li/CFx, Li/SVO, and Li/CFx-SVO hybrid- mance over a range of design parameters and operating conditions cathode batteries: relevant to implantable medical devices. Since these applications typically involve discharges lasting months to years, phenomena 1. The cathode limits battery capacity ͑i.e., excess Li in anode͒. having shorter time scales ͑e.g., capacitance͒ are ignored in the 2. The cathode dominates battery resistance ͑i.e., resistances in model, with discharge characteristics being governed by the relative the anode and separator are negligible͒. reaction kinetics of the hybrid system. The resulting mathematical 3. The cathode is kinetically limited ͑i.e., ohmic and mass- model is a set of coupled ordinary differential and algebraic equa- transfer resistances are negligible͒ such that the reaction current is tions that is highly nonlinear, and requires a numerical solution to uniform throughout the porous electrode. predict battery performance. To obtain the requisite thermodynamic 4. The effects of heat generation, degradation, and parasitic re- actions are negligible. 5. The CFx and SVO particles are spherical and cylindrical, re- * Electrochemical Society Active Member. spectively, and of the average sizes given in Tables II and III, z E-mail: [email protected] respectively. Downloaded 20 Jul 2011 to 129.252.86.83. Redistribution subject to ECS license or copyright; see http://www.ecsdl.org/terms_use.jsp Journal of The Electrochemical Society, 154 ͑11͒ A1058-A1064 ͑2007͒ A1059 Table I. Cathode design parameters of the batteries used in this study. Mass Thickness Area Total Battery Mix-ratio L A mC mSV capacity ͑ ͒ ͑ 2͒ ͑ ͒ ͑ ͒ ͑ ͒ name QC/QSV mm cm g g Ah CFx 1:0 2.6 5.3 1.908 0.000 1.65 SVO 0:1 2.6 5.3 0.000 5.109 1.38 HB1 7.5:1 2.1 3.1 0.850 0.364 0.83 HB2 7.5:1 2.1 5.0 1.315 0.564 1.29 HB3 2.2:1 2.1 5.0 0.884 1.288 1.11 HB4 7.5:1 2.6 5.3 1.721 0.738 1.69 HB5 7.5:1 8.4 8.3 8.813 3.778 8.64 0 0͑ ͒2/3 ͓ ͔ aCV = aCV 1− C 4 Equations governing an Li/CFx battery.— The overall electro- chemical reaction occurring at the cathode is8 where the initial reaction area is related to the initial properties of the spherical CF particles by + − → ͓ ͔ x CFx + xLi + xe xLiF+C 1 3m0 This reaction is irreversible and follows Tafel kinetics as confirmed a0 V0 = C ͓5͔ C 0 ͑ ͒ 9 R C by our observations of E vs ln Iapp as well as those of Tiedemann C and Davis et al.10 Therefore, the local current density on the surface Combining Eq.