Read the article called “Accurate Battery Model Capable of Predicting Runtime &

Question

Read the article called “Accurate Battery Model Capable of Predicting Runtime & 1 Performance", IEEE Trans on Energy Conversion, Vol 21, No 2, June 2006, by Min Chen & Gabriel A Rincon-Mora. Also see page 137 in Chap 4 of the text book Electric & Hybrid Vehicles, 2d Eda, by Iqbal Hussain. The battery model they proposed for a polymer Lithium ion battery (as in the LiPe battery for quadrotors) is shown below. Battery Lifetime Voltage-Current Characteristics R Series RT 0 Fig. 2. Proposed electrical battery model The following experimental data were reported in the article. A Polymer La-Ion Btteries Ten new 850-mAh TCL PL-383562 polymer Li-ion batteries were tested with suitably-spaced pulse discharge currents (80, 160, 320, and 640 mA in this case) at room temperature. For safety consideration, these batteries were charged with constant currents less than 800 mA. 4.I-V constant veltage, and 10-mA end-of-charge current, and discharged with pulse currents afore- mentioned and 30-V end-of-discharge voltage. Their pulse dis charge curves under the same conditions (i.e., the same current temperature, and cycle number) stay very close to each other As shown in Fig 6, (320-mA palse discharge curves) ten bat- teries show runtime vanaton within 2% and error voltage less than 30 mV at IO -10% SOC. A big error voltage close to fully discharged states 0-10% SOC) is caused by the sharp open-circuit voltage drop that influences battery runtime linle. Because of their consisient characteristics, only one polymer Li ion battery noeds to be measured, and its model can be applied to other parts from the same manufacturer 10 Polymer Li-ion Batteries under 320mA Pulse Discharge 3.6 3.4 2000 4000 6000 8000 10000 12000 14000 Time (Second Fig. 6. A 320-mA pulse discharge curves of ten polymer Li-ion batteries Using the proposed electrical battery model, the authors reported that they were able to reproduce simulation results that closely match the experimental data. Their simulation were carried out using Cadence software, which is similar to Samsaper For example, Figure 8(b) below shows the simulation run and Table II shows the Runtime Error at 0.020%.

Explanation / Answer

Following are the asked definitions & Parameters:

VBatt: Output voltage of proposed electrical battery model

IBatt: This is a current controlled current source used to charge OR discharge CCapacity capacitor during the battery charging OR discharging.

VSOC: This parameter indicates state of charge voltage. If SOC = 0% indicates battery is fully discharged.& if If SOC = 100% indicates battery is fully charged

VOC (VSOC): This parameter is about open circuit voltage. It is an open circuit voltage indicating state of charge voltage. If SOC = 0% indicates battery is fully discharged.& if If SOC = 100% indicates battery is fully charged

Vs: Voltage measured accoss the short time RC constant constant RTransient_S: & CTransient_S

VL: Voltage measured accoss the long time RC constant constant RTransient_L: & CTransient_L

Rself Discharge: when the batteries are stored for a long time Rself Discharge is used to model the self-discharge energy loss

CCapacity = This parameter represents complete Capacity of capacitor. This represents the entire charge stored in the battery.

Rseries: Series resister Rseries is responsible for the sudden voltage drop of the step response.

RTransient_S: & CTransient_S: This RC time constant is responsible for short time constant of the step response.

RTransient_L, CTransient_L: This RC time constant is responsible for Long time constant of the step response.

ZL(S): Load Impedance of the circuit.

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