Bapat–Beg theorem: Difference between revisions

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'''All-electric range''' (AER) is the driving range of a vehicle using only power from its electric [[battery pack]] to traverse a given [[United_States_Environmental_Protection_Agency#Fuel_economy_testing_and_results|driving cycle]].  In the case of a [[battery electric vehicle]], it means the total range per charge. For a [[plug-in hybrid]] (PHEV), it means the range of the vehicle in [[charge-depleting]] mode. PHEVs can travel considerably further in [[charge-sustaining]] mode which uses both on-board fuel and the battery pack.
 
 
Calculating AER is made more complicated because of variations in PHEV design.  A vehicle like the [[Fisker Karma]] that utilizes a serial hybrid design has a clear AER.  Similarly a vehicle like the Chevy Volt which disengages the internal combustion engine (ICE) from the drive train while in electric mode has a clear AER, however blended mode PHEVs which utilize the ICE and electric motor in conjunction do not have a clear AER because they utilize gasoline and grid provided electricity at the same time.  Equivalent AER is a term used to denote the AER of vehicles following this architecture. One example of this calculation can be found in Argonne National Labs report titled "TEST PROCEDURES AND BENCHMARKING Blended-Type and EV-Capable Plug-In Hybrid Electric Vehicles."[http://www.transportation.anl.gov/pdfs/HV/457.pdf]
 
This procedure uses the formula below to calculate an equivalent AER for vehicles that operate in blended mode:
 
:<math>\text{AER}_\text{Equivalent} = \left (1-\frac{GPM_{CD} }{GPM_{CS} }\right ) d^{CD}</math>
 
Where GPM<sub>CD</sub> designates efficiency in [[charge-depleting]] mode, and GPM<sub>CS</sub> [[charge-sustaining]] mode as designated and ''d''<sup>CD</sup> is distance in charge depleting mode.
 
 
 
 
A [[plug-in hybrid]]'s all-electric range is designated by PHEV-''(miles)'' or PHEV''(kilometers)''km representing the distance the vehicle can travel on battery power alone. For example, a PHEV-20 can travel 20&nbsp;miles without using its internal combustion engine, or about 32&nbsp;kilometers, so it may also be designated as PHEV32km.
 
[[Category:Electric vehicles]]
 
{{Automotive-tech-stub}}

Latest revision as of 21:03, 8 May 2014

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