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Energies 2016,9, 563
‚ Tremblayetal. [5] (batterymodel1)
‚ LamandBauer [20] (batterymodel2)
‚ Wijewardanaetal. [1] (batterymodel3)
3.1. TremblayBatteryModel (BatteryModel1)
TremblayandDessaint [5] improvedtheirownmodel inReference [21]. Thenewmodel is shown
inFigure 2. Only threepoints on the steady statemanufacturer’s discharge curve are required to
parametrize themodel,whichare the fullvoltage, theendpointofexponentialvoltageregion,andthe
nominalvoltage. Thevariationof theOCVfromareferenceconstantvoltage (E0) is related toSOC
changesby incorporatingapolarizationconstant (K).
Figure2.TremblayandDessaintbatterydischargemodel.
Incaseofdischargingtheoutputvoltagereads:
Vbatt “E0´R ¨ i´K QQ´ it ¨ pit` i ˚q`Ae´B ¨ it (1)
andforcharging, theequationbecomes:
Vbatt “E0´R ¨ i´K Qit´0.1Q ¨ i ˚´K Q
Q´ it ¨ it`Ae ´B ¨ it (2)
thevariablesandconstants inEquations (1)and(2)aredefinedinTableA1in theAppendixA.1.
Although, the charging anddischarging characteristics are extensivelymodeled, someother
influential factors like the variations in internal resistance (R) and temperature influence are not
considered. Thecapacity fadingeffect isnot taken intoaccount in thismodelaswell.
3.2. LamandBauerBatteryModel (BatteryModel2)
TheLamandBauerbatteryequivalentcircuitmodelisshowninFigure3. Themodeldemonstrates
theVOCasa functionofSOC,avariableohmicresistanceRo, andtwovariableRC-networks:RSCS
andRlCl for theshortandthe longtimetransient responses, respectively. LamandBaueralsoshowed
therelationbetweencapacity fadingduetoaginganddifferentstress influences,whichare thecell’s
temperature,C-rate, SOCandintensityofdischarge. LamandBauerparametrized their equations
throughcurvefittingofexperimentalmeasurements. Theyemployedin their tests theLiFePO4battery
cell. Theequivalentcircuit resistorsandcapacitorsequations for temperatures from20˝Candabove
aredetailedinEquations(7)–(28) inReference[20].WereferalsototheVOCequationwiththecorrected
constantsasproposedinReference [20]:
VOCpSOCq“´0.5863 e´21.9 SOC`3.414`0.1102SOC´0.1718 e´ 8ˆ10´3
1´SOC (3)
129
Emerging Technologies for Electric and Hybrid Vehicles
- Titel
- Emerging Technologies for Electric and Hybrid Vehicles
- Herausgeber
- MDPI
- Ort
- Basel
- Datum
- 2017
- Sprache
- englisch
- Lizenz
- CC BY-NC-ND 4.0
- ISBN
- 978-3-03897-191-7
- Abmessungen
- 17.0 x 24.4 cm
- Seiten
- 376
- Schlagwörter
- electric vehicle, plug-in hybrid electric vehicle (PHEV), energy sources, energy management strategy, energy-storage system, charging technologies, control algorithms, battery, operating scenario, wireless power transfer (WPT)
- Kategorie
- Technik