Battery modelling
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Transcript of Battery modelling
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EBaM:an EDA tool for Battery Modeling
POLITO
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Outline…Energy efficiency is often centered around the “device”…But overall efficiency can be decided in other parts of the “energy
path”
DC-DCconverter/
charger
MPPT &
control
load
Energy source
I, V
t
DC-DCconverter
Energy storage device (ESD)(Optional)
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Limitations: Costs & Time: calculation of model parameters is
based on actual measurements Lack of generality: a given circuit/model cannot be
used to represent another device, i.e., validation is carried out on the specific battery under measure
Solution: Modeling from datasheet: resort to information
available in the datasheets provided by the battery manufacturers;
Variable accuracy model templates: since datasheets often provide limited info, adapt the model template (accuracy) to the amount of information.
Automation for battery modelingMany battery models, with different complexities, are proposed in literature.
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EBaM Framework
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Battery Models should include...
I-order effects:
Battery runtime;
SOC-OCV relation;
SOC-transient response relation.
II-order effects:
Temperature effects on battery
voltage;
Temperature effects on capacity;
Capacity fading due to cycling and
storage (aging).
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Model levels overview Level 1 Level 2 Level 3
I Orde
r Effec
ts
RunTime SOC
RunTime SOC Steady-State
Response
RunTime SOC Steady-State
Response Transient
Response
II Orde
r Effec
ts
Level 1+ Temperature
Level 2+ Temperature
Level 3+ Temperature
Level 1+ Capacity Fading
Level 2+ Capacity Fading
Level 3+ Capacity Fading
HIGHER ACCURACY
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Level 1 model
Current (A)
Time (h)
Temperature (°C)(d)
(I,T,LT) FROM DATASHEET
PEUKERT’S FITTING SURFACE
TIME (h)(a)
VOLTAGE (V
)
VOLTAGE (V
)
VOLTAGE (V
)
(b) (c)
@ Tref
Vcutoff
TIME (h) TIME (h)
@ T1 @ T2
Vcutoff Vcutoff
TEMPERATURE EFFECTS
I1LT1
(I1,Tref,LT1)
battery runtime; temperature effects; possibility to further extend
it for capacity fade.
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Level 2 modelEquivalent electric circuit model
battery runtime; SOC-OCV relation; temperature effects; possibility to extend it
for capacity fade.
+-
C M(T)
VSOC
I B
+ +R(VSOC)VB
VR -+-IB
(d)
c1TEMPERATURE(T)(a)
CAPACITY(A
h)
DISCHARGE CAPACITY (Ah)
VOLTAGE (V
)
DISCHARGE CAPACITY (Ah)VOLTA
GE (V)
c2 cref
(b) (c)TrefT1T2T3
+-
TEMPERATURE EFFECTS
@ cref @ Tref@ cref
VOC(VSOC)VDRIFT(T,VSOC)
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Level 3 model
battery runtime; SOC-OCV relation
(transient); temperature effects; possibility to extend it
for capacity fade.+-V OC(V
SOC)C M
VSOC
I B
+ +R(VSOC) RS(VSOC)CS(VSOC)
RL(VSOC)CL(VSOC)
(a)
CURRENT (A
)/VOLTAGE
(V)
TIME (s)VOLTA
GE (V)
TIME (s)τS τL
VRVS VL
VB
(b)
VR -+VS -+ VL -+
VOLTAGE DROP: OHIMC LOSSES BETWEEN ELECTRODES AND ELECTROLYTELONG-TIME EFFECT: DIFFUTION PHENOMENA IN THE ELECTROLYTE
SHORT-TIME EFFECT:DOUBLE LAYER CAPACITY tS tL s
-IB(c)
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AccuracyLevel 2
Level 3
Sony UP383562
Energizer CR2032constant current @0.0008C 2s @0.1C