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Energies 2016,9, 410
3.4. BoundaryConductionMode
Theboundarynormalized inductor timeconstantτL,B canbedefinedas:
τL,B “ LsfswR (18)
whereR is low-side inputequivalent resistance.
Duringboundaryconductionmode(BCM), the inputcurrentBDCcanbederivedas:
IL “ 4VLLsfswp1´Ddq (19)
SubstitutingEquation(19) into (18), theboundarynormalizedtimeconstant inchargestatecan
beexpressedas:
τLd,B “4p1´Ddq (20)
Similarly, indischargestate, the inputcurrentof thestudiedBDCcanbeobtainedas:
IL “ 4VLLsfswDb (21)
Theboundarynormalizedtimeconstant indischargestatecanbeexpressedas:
τLb,B “4Db (22)
Figure13showstheplotsofboundarynormalized inductor timeconstantcurvesτLd,BandτLb,B
inchargeanddischargestates. TheBDCinchargestateoperates inCCMwhenτLd isdesignedtobe
higher thantheboundarycurveofτLd,B. ThestudiedBDCindischargestateoperates indiscontinuous
conductionmode(DCM)whenτLb is selectedtobe lower thantheboundarycurveofτLb,B.
Figure13.Normalizedboundary inductances timeconstant inchargeanddischargestates.
Figure14shows theboundary inductances curveof thestudiedBDCinchargeanddischarge
states. If the inductance isselectedtobe larger thantheboundary inductance, thestudiedBDCwill
operate inCCM.The studiedBDCcanoperatenotonly in charge statebut also indischarge state,
theboundary inductancecanbederivedasbelowfromEquations (19)and(21), respectively.
Ld,B “ 4p1´Ddqfsw V2L
Pout (23)
Lb,B “ 4Dbfsw V2L
Pout (24)
wherePout is theoutputpower.
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Emerging Technologies for Electric and Hybrid Vehicles
- Title
- Emerging Technologies for Electric and Hybrid Vehicles
- Editor
- MDPI
- Location
- Basel
- Date
- 2017
- Language
- English
- License
- CC BY-NC-ND 4.0
- ISBN
- 978-3-03897-191-7
- Size
- 17.0 x 24.4 cm
- Pages
- 376
- Keywords
- 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)
- Category
- Technik