Estimation of Capacity of Lead Acid Battery Using RBF Model

(1)

ISSN 1974-9821

Vol.4N.3

June 2011

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Estimation of Capecitylof

l.eadAcid

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International Review on Modelling and Simulations (I.RE.MO.S.), Yol. 4, N. 3 June 201

I

Trdita

?"izz

Estimation

of

Capacity

of Lead

Acid Battery

Using

RBF Model

B- S. Kalokol'a,

Soebagio2,

M.

H.

Purnomo3

Abstract

-

Analytical

models

have

been developed

to

diminish

test procedures

for

product realization, but they have only been

partially

succe*sful in consistently predicting the performance of battery systems. The complex set of interacting plrysical and chemical processes within battery systems have made the development of analytical models to be a significant challenge. Advanced simulation tools are needed to become more aecurately model battery systems which

will

reduce the time and cost required

for

product

realization.

As

an akernative approach, we have begun development

of

cell

performance

modeling

using

non-phenomenological models

for

battery systems based

on Radial

Basis

Function which

uses

Matlab

7.6.0(R2008b).

A

Radial

Basis Function based learning system method has been proposed

for

estimation of capacity of lead acid battery.

Radial

basis

function

based technique is used

for

learning battery performance variation

with

time,

temperature

and

load.

Thus a

precision

model

of

Radial

Basis

Function

has been

evaluated. The correlation coefficient

of

this model

is

worth

0.99977 shows good results

for

ll/orthy

Prize S-r-l- -

All

rights

reserved-Keywords:

Neural Network,

Radial

Basis

Function,

Electrochemistry,

Lead

Acid

Battery, Capacity

0p, capaci of the is und chargt

is

ina<

hours electri voltag metho capaci

ll5l.

Atd use,

it

bafter1 while i

battery

is

no Coulor mea5ili curr€.d Neu PEMFI

ANNs

system

due

to detaile

An

uses

v

capacil order

t

the

da experir testing and tel that it (

a

new battery techniq variatir The type 46

Matl

(develo employ develop comput machin

andlG

n e

x

N

r

^s

0

2

A

E

p

w

b Dn a

o

^g

i

T

Nomenclature

Amount

of

data for RBF model Natural logarithm

Variable data firnction Data position

Distance of data

Linear combination of fi.rnction RBF Function of RBF

Coefficient of RBF

Matrix

of RBF

Function of RBF model Number of input Weight

of

RBF model Bias

of

RBF model

The distance data-i with data-j Network output

Capacity of battery Error

of

capacity estimation Current of battery

Temperature of battery Abbreviations

RBF

Radial Basis Function

SOC

State of Charge

L

Introduction

The need

to

develop electric vehicles arises not

on$

due

to

the

high

price

of

international petroleum but also for solving the worsening environment problems.

Manuscript received and revised May 201 I, accepted June 201

I

Energy management

is

the major key

technology

of

battery powered vehicle

[].

The

increase

of

energy density and ef{iciency, and accurate measurement

of

the capacity are important research topics

[2], [3].

Although many new electrochemical systems were studied

for

this

application,

the lead acid battery

is

still

a

leading candidate

[4].

Measurement

of

the capacrty

of

lead acid

battery

in

battery powered

vehicle

was

studied by

electrochemical reaction

[5].

The estimation

of

capacity

of

lead acid battery is a key

point of

energy management system in elecFic vehicle _[6].

Many

methods are used

to

improve the precision

of

battery capacity. Generally,

the

methods

for

measuring

the

capacity

of

the

lead

acid

battery are:

impedance method, conductance method

or

resistance method

[7],

t8l.

The

parametric

fitting model

method may

not

be accurate enough

for

the measurement

of

the.capacity

of

the lead acid battery

in

the electric vehicle because the

intemal

resistance

of

the

battery

is

not

constant [9]. These methods are only used for the batteries of the same

model

to

be

evaluated.

This

approach does

not

work

an)nlore

if

the

baftery has some

differences.

The Coulometric method can measure the charge or discharge current

ofbattery

to solve the above disadvantages

[0].

The

Coulometric

measurement

method

usually

uses

several correction factors added

to

minimize the errors and used together to determine the capacity.

The Ampere hours algorithm commonly estimate the

battery

capacity.

The

battery capacity

is

calculated

by

multiplying

the current by time of discharge [11],

U2l.

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