Calculation Of battery and inverter
As we Know, Battery Calculations and Inverter Sizing are shown different & complicated to understand everywhere. Here, we will make you understand the easiest way to Study battery Calculations & Inverter Sizing. This is the easiest way to Check & learn your Home inverter Sizing & battery Calculations.
Load details
| Sr No. | Equipment | Watt | Quantity | Total |
| 1 | Fan | 60 | 4 | 240 |
| 2 | Led | 10 | 6 | 60 |
| 3 | Tv | 70 | 1 | 70 |
| 4 | Desktop | 150 | 1 | 150 |
| 5 | cooler | 250 | 1 | 250 |
| Connected | Load | 770 |
Total connected load = 770 watt
we convert in VA then divided by power factor
Power factor = 0.8
Total load in terms of VA= Watt/0.8=770/0.8=962.5
Size of inverter = Total load(VA)*(1+additional Load )/ Efficiency of inverter
Total load(VA) = Total connected load
Additional load = we assumed the connect 20% of extra load any time
Efficiency of inverter = Input from grid power output from battery efficiency of inverter depends on manufacturer and models of inverter.Its mainly 80% To 95 % . we take here 80 % efficiency of inverter
Size of inverter= 962.5X(1+20%)/80%
=962.5X1.2/.8
=1443.75VA
We take here inverter size more than calculated value so we choose here 1500VA Inverter .if 1500VA inverter not available in market you can also consider 1600 or 1700 VA Inverters
Now we calculate size of battery
Formula =Load * backup hour(1+Total loses)*(1+battery aging factor)*Temperature factor/ Efficiency of battery* depth of discharge(DOD)
Load = Connected load (Watt)
Backup Hour = how many hours you run your appliances on battery Without Main supply we consider here 3 hours
Total losses = we consider total 5% losses in our System
Battery aging factor = generally 20 % of battery Aging factor we consider
Temperature correction factor = Its very on temperature of room we consider here temp. Of room is 50 degree C so temperature correction factor is 1
Efficiency of battery = its depend on manufacture and models of battery. we consider here lead acid battery having 90% efficiency
Depth of discharge (DOD)=Depth of Discharge is defined as the capacity that is discharged from a fully charged battery, divided by battery nominal capacity. Depth of discharge is normally expressed as a percentage. Its around we considerd 80%
Formula = Load * backup hour(1+Total loses)*(1+battery aging factor)*Temperature factor/
Efficiency of battery* depth of discharge(DOD)
= 770X3*(1+5%)*(1+20%)*1 / 90%*80%
= 770*3*1.05*1.2*1 / 0.9*0.8
= 2910.6 / 0.72
= 4042.5 Amp/hour
So we need 4042.5Amp/Hour for entire load for run 3 hours
Now we calculate battery sizing
Firstly main thing for battery sizing calculation is our nominal system voltage .
Nominal System Voltage = Nominal System Voltage is that voltage on which our system is working. Its clearly mention on inverter. When we purchase inverter, we should always ask voltage of inverter. Mainly Nominal system voltage in multiplication of 12 like 12V , 24V , 48V
We calculate here for both
Case I
Consider system voltage 12 V
Battery Ah = total required Ah/System voltage
=4042/12
=336.8
=336Ah
We can also round off this, for better calculation
So we consider here 300 Ah
Note1-
In series Connection- Voltage is added and current will remain same
In parallel connection – current will add and voltage will remain same
Note2- Our calculation based on 12 v battery
No of battery = total Ah required / Ah of single battery
Case1
Select 150 Ah Battery
No Of battery 150Ah required = 300Ah/150Ah
= 2
No of battery connected in series =system voltage/battery voltage
= 12/12
=1
No of battery connected in Parallel =total no of battery / total battery connected in series
=2/1
=2
Case 2
If we select 100Ah battery
Total no of 100Ah battery required = 300Ah/100Ah
= 3
No of battery connected in series = system voltage/battery voltage
= 12/12
=1
No of battery connected in Parallel =total no of batteries / total batteries connected in series
=3/1
=3
Case II
Consider system voltage 24 V
Battery Ah = total required Ah/System voltage
=4042/24
=168.41
=168Ah
We can also round off this for better calculation
So we consider here 150 Ah
Note– our calculation based on 12 V battery
Case1
Select 150 Ah Battery
No of battery = total Ah required / Ah of single battery
= 300Ah/150Ah
= 2
No of battery connected in series =system voltage/battery voltage
= 24/12
=2
No of battery connected in Parallel =total no of battery / total battery connect in series
=2/2
=1
Case 2
Select 100 Ah Battery
Total No of 100 Ah Battery = 300Ah/150Ah
= 3
No of batteries connected in series =system voltage/battery voltage
= 24/12
=2
No of batteries connected in Parallel =total no of battery / total battery connected in series
=3/2
=1.5
Note- we cannot connect three battery in series – parallel connection So we can go with lower size of battery
Case2
Select 75 Ah Battery
Total No of 100 Ah Battery = 300Ah/75Ah
= 4
No of battery connected in series =system voltage/battery voltage
= 24/12
=2
No of battery connected in Parallel =total no of battery / total battery connect in series
=4/2
=2
Summery
Total Electrical Load=770 Watt
Total Electrical Load=962.5VA
Size of Inverter= 1500VA
Size of Battery Bank= 300 Amp/Hr
For 12 Volt system
For 150 Ah , 12V DC Battery : Parallel Connection & 2 No’s of Battery
For 24 V system
For 150 Ah , 12V DC Battery : Series & 2 No’s of Battery
For 75 Ah , 12 V DC Battery : Series parallel Connection & 4 No’s of Battery
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Writer : Ramesh Jaiswal
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