PARAMETER ANALYSIS AND LIFE CYCLE COST ASSESSMENT OF A 12VOLT, 200AH, LEAD ACID BATTERY

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Product Code: 00006821

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ABSTRACT

This study examined the parameters and conduct life cycle cost assessment of a 12 volts lead acid battery. The objectives of the study were to determine and evaluate the cost components associated with the use of batteries, conduct replacement assessment on a 12volt lead acid battery and simulate battery parameters identified using Response Surface Methodology (RSM). The experiment was carried out using a 12volt lead acid battery with load of 120W and 185W. The data obtained were analyzed in response surface methodology in design expert software to statistically determine the analysis of variance and the regression model equations for each of the battery load. The Life Cycle Cost analysis of the battery was calculated. The result showed that the process parameters had significant effects on the battery attached with different load value. The values of the coefficient of determination (R) 0.9999, elaborated the significance of the regression models generated for the dependent variables. The LCC of the battery showed that the total cost for about 2years is #115,216.346 which can be more beneficial use home used compared to other source of electricity generation.






TABLE OF CONTENTS 

Cover page 
Declaration i
Certification ii
Dedication iii
Acknowledgment iv
Table of contents v
List of tables vii
List of figures viii 
Abstract ix

CHAPTER ONE 
INTRODUCTION 
1.1 Background of Study            1
1.2 Statement of problem            2
1.3 Aim and Objectives of Study            2
1.4 Scope of the Study                        2
1.5 Justification of Study                                                  3

CHAPTER TWO
LITERATURE REVIEW
2.1 Conceptual Theory on Batteries 4
2.1.1 Types of battery 4
2.1.2 The Lead Acid Battery 5
2.2 Battery Parameters 6
2.2.1 State of Charge (SOC), and Depth of Discharge (DOD) 6
2.2.2 State of Health (SOH), and End of Life (EOL) 7
2.2.3 C-rate 7
2.2.4 Cycle lifetime 8
2.2.5 Specific Power 8
2.2.5 Battery Efficiency 9
2.2.6 Cycle Lifetime 9

CHAPTER THREE
MATERIALS AND METHODS
3.1       Materials 10
3.2 Methods                     10
3.2.1 Experimental Setup 10
3.3 Governing Equations / Mathematical Considerations 11
3.3.1 Life cycle cost model 11
3.3.2 Net Present Value (NPV) 12
3.3.1 Capitol Recovery Factor (CRF) 13

CHAPTER FOUR
RESULTS AND DISCUSSION
4.1 Result for the battery with 120Watt load 14
4.1.1 ANOVA result for the energy delivered to the 120W load battery 15
4.1.2 ANOVA result for the efficiency to the 120W load battery 17
4.1.3 ANOVA result for the charge stored in the 120W load battery 20
4.2 Result for the battery with 185 Watt load 22
4.2.1 ANOVA result for the energy delivered to the 185W load battery 23
4.2.2 ANOVA result for the efficiency to the 185W load battery 25
4.2.3 ANOVA result for the charge stored in the 120W load battery 27
4.3 Economic Evaluation 29

CHAPTER FIVE
CONCLUSION AND RECOMMENDATION 
5.1      Conclusion 30
5.2 Recommendation 30
REFERENCES






LIST OF TABLES

Tabl4 4.1 Experimental design for the battery with 120Watt Load 14

Table 4.2: Analysis of Variance for the energy delivered to the 120W load battery 16

Table 4.3: Analysis of Variance for the Efficiency to the 120W load battery 18

Table 4.4: Analysis of Variance for the charge stored in the 120W load battery 20

Tabl4 4.5 Experimental design for the battery with 185Watt Load 22

Table 4.6: Analysis of Variance for the energy delivered to the 185W load battery 24

Table 4.7: Analysis of Variance for the Efficiency to the 185 W load battery 26

Table 4.8: Analysis of Variance for the charge stored in the 185W load battery 28






LIST OF FIGURES

Figure 4.1: Effect of the process parameters on the energy delivered to the 120watt load battery 17

Figure 4.2: Effect of the process parameters on the efficiency to the 120watt load battery 19

Figure 4.3: Effect of the process parameters on the charge stored in the 120watt load battery 21

Figure 4.4: Effect of the process parameters on the energy delivered to the 185 watt load battery 25

Figure 4.5: Effect of the process parameters on the efficiency to the 185 watt load battery 27

Figure 4.6: Effect of the process parameters on the charge stored in the 185 watt load battery 29








CHAPTER 1
INTRODUCTION

1.1 BACKGROUND OF THE STUDY 
The  lead  acid  battery  is  the  oldest  battery  in  the  market  today  having  extensive  use  in  portable  power systems  and  accounts  for  over  40% of  the  battery  sales  to  date.  Its  dependability  and  relatively  lower  cost has  kept  it  in  the  spotlight,  but  its  drawbacks  are  widely  acknowledged.  Presently  encompassing  the largest  sector  of  the  battery  industry,  lead  acid  has  been  used  extensively  in  portable  power  systems  for vehicles  as  well  as  in  stationary  applications  such  as  Uninterruptible  Power  Supply  (UPS)  systems (Vincent., 1997) 

Although  the  current  shift  has  been  moving  the  industry  away  from  its  usage  in  future  Electric  Vehicle (EV)  applications,  their  advantages  in  material  availability  and  cost  still  maintain  their  importance  in  the market.  Through  the  use  of  a  flexible,  unique  testing  tool  to  evaluate  the  lifespan  and  performance, present  methods  to  extract  State-of-Charge  (SoC)  and  State-of-Health  (SoH)  could  be  improved  and managed  in  a  more  efficient  way.  This  could  be  achieved  through  the  deployment  of  an  advanced  battery lifespan  and  frequency  analysis  tool,  such  as  the  one  developed  in  this  paper,  to  highlight  and  improve  the present  models in-use  today. 

The  first  lead  acid  oxide  cell  was  in  1859  by  French  physicist  Gaston  Planté when  the  system  included two  coiled  strips  separated  by  a  simple  linen  cloth.  This  simple  demonstration  laid  the  groundwork  on how  lead-acid  batteries  are  manufactured  today.  Success  has  been  attributed  to  many  factors  including low  manufacturing  costs  and  widely  available  raw  materials.  These  reasons,  coupled  with  relatively  long life  span  have  made  the  lead  acid  battery  an  efficient electrochemical  energy-storage  system.  Performance of lead-acid batteries has significantly improved since they were introduced.  Better  designs  with  purer materials  and  efficient  manufacturing  techniques  have  lengthened  the  lifespan  of  these  cells.  Not  only  has dependability  increased, but so has the  focus  on  factors  which  eventually  degrade  and  diminishes  the  cycle life (Lashway et al.,2016).

1.2    STATEMENT OF THE PROBLEM
The lead acid battery is one of the most commonly used battery and hence it is essential to evaluate the cost of maintaining prolonged life cycle of the battery. The life cycle cost analysis is necessary for profitability, determination of the life span and maintenance of the battery for longevity. Based on this context, this study seeks to examine the lead acid battery parameters and life cycle cost analysis of a maintenance free lead acid battery. 

1.3    AIM AND OBJECTIVES 
The aim of this study is to analyze the parameters and conduct replacement assessment of a 12 volts lead acid battery. The specific objectives of this study include:  

1) To determine and evaluate the cost components associated with the use of batteries.

2) To conduct replacement assessment on a 12volt lead acid battery.

3) To simulate battery parameters identified using Response Surface Methodology (RSM).

1.4   SCOPE OF THE WORK
This study is limited to:

1) A 12volt 220Ah Tubular lead acid battery

2) Evaluation of the life cycle cost of the battery.

3) Investigation of the state of charge (SOC), depth of discharge (DOD), C-rate, efficiency, state of health (SOH), specific power, and specific energy of the battery.

1.5 JUSTIFICATION OF THE WORK
Modeling and Simulation of engineering systems are very much important and useful to understand behavior of the system for change in regularly or frequently used parameters. In case of battery model, the effect of changing thickness of chemical material used in battery can be predicted to understand many related battery performance parameters. Such models could be used in battery operated vehicles or appliances to predict the performance of the battery. There are various types of batteries and many factors affects the battery performance parameters. For estimation of battery performance different mathematical models plays an important role. The battery performance parameters are state of charge (SOC), battery storage capacity, rate of charge or rate of discharge, temperature, age or shelf life and many others. The discharge current of a battery decreases with increase in constant current discharge time. The performance of the battery depends on temperature and performance characteristics. Therefore in this research work the MATLAB, tools are used to perform modeling and simulation work for rechargeable battery using lead acid batteries as case study.


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