NATIONAL POWER TRAINING INSTITUTE OF NIGERIA
SOLAR POWER SYSTEM
(PV SYSTEM SIZING)
PV SYSTEM SIZING REQUIREMENT
1. Site survey (structures, electrical consumers, meteorological
data)
2. Determine consumer energy demand
3. System voltage (12V, 24V, 48V)
4. Determine PV array power
5. Determine battery capacity and system voltage
6. Determine charger controller voltage and current
7. Determine inverter power
8. Determine cable size
SYSTEM VOLTAGE
The system voltage depends on:
1. Electrical devices loads (ac or dc)
2. Energy demand (approx. up to 1KVAh 12V, up to 2.5KVAh
24V)
3. Cable lengths which includes:
a. PV – battery
b. Battery – electrical consumer (dc devices & inverter)
CONSUMER ENERGY DEMAND
The consumer energy demand depends on:
1. Real power rating of devices (apparent power in case
of ac)
2. Running time of devices
3. Efficiency of inverter (app. 85% - 95%)
4. Inverter standby consumption (app. 1% of rated
power)
5. Inverter standby running time
CONSUMER ENERGY DEMAND
CALCULATION
Inverter output energy (VAh) = Device wattage x hrs. of usage
cosθ
Inverter input energy (VAh) = Inverter output energy
Inverter efficiency
Inverter standby consumption (VAh) = Standby wattage x runtime
Therefore, Consumer Energy Demand is given as:
Inverter input Inverter standby
CED = + consumption
energy (VAh)
(VAh)
EXAMPLE
A family load audit runs as follows: 6CFL bulb(20W), 1TV set
(50W), 1DSTV decoder (12W), 3fans (100W) and 1 fridge
(222KWh/annum) running for 5hrs per day. What is the total daily
energy demand of the family?
LOAD CALCULATION/ SIZING
Energy
Device QTY Watts Cos θ App. power (VA) Hrs.
(VAh)
Television 1 50 0.6 83 5 415
CFL bulbs 6 40 0.6 400 5 2000
DSTV 1 12 0.6 20 5 100
Fan 3 100 0.6 500 5 2500
Fridge 1 25 1 25 5 125
Miscellaneous 1 100 1 100 5 500
TOTAL 1128 5640
Consumer Energy Demand =
amount of energy discharge from battery
Device
energy
Solar energy demand
generation
Battery charge Consumer energy demand
C (Ah) (battery discharge)
INVERTER SIZING
Apparent power
(VA) of devices
(ac or dc)
PERFORMANCE RATIO (PR)= 65%
PR depends on:
1. Operating voltage = battery
Out of MPP voltage is app. 25% less than
operation losses
MPP
= 25%
2. Losses due to dust
Performance
3. Battery charging losses
4. Charge controller losses
5. Wiring losses
Electrical
losses = 3% Charging
Ratio = 65%
losses = 7%
PANEL SIZING
Solar energy demand from the panel is given as:
Solar Energy demand = Consumer energy demand
Performance Ratio = 65%
Thus, Solar Power (Wp) is given as:
Solar Power (Wp) = Solar energy demand
Peak Sun Hour (PSH) – worst month
8,676Wh
5,640Wh
Solar energy demand
Consumer energy demand
Losses = 35%
8676Wh x 65% = 5640
5640/PR=65% = 8,676Wh
BATTERY SIZING
Battery capacity of a Solar system depends on:
1. Daily consumer energy demand or battery discharge (Ah)
2. Desired lifespan in cycles or Depth of Discharge (DoD)
3. Days of Autonomy
Thus, Battery capacity (C) is given as:
C= Consumer energy demand x Days of autonomy
DoD x System voltage
Battery capacity (C) can also be given as:
C = battery discharge x Days of autonomy
DoD
C (Ah) = +
Consumer energy demand
(battery discharge)
CHARGE CONTROLLER SIZING
Charge controller rating depends on:
1. Current at MPP from the PV modules
2. Panel voltage
3. Plus 20% oversize factor
CABLE SIZING
Cable rating depends on:
1. Desired max voltage drop
2. Length
3. Material
4. Current
Thus, Cable rating is given as:
ΔV = 2L x I
ρA
The max allowable voltage drop from PV to battery and from
battery to loads is 3%