From Your Budget to Battery and Panel Size
You've got a daily watt-hour total. Now what? This page turns it into two rough numbers: how much battery to hold, and how many panels to refill it. They're for planning and for talking to a supplier or an electrician. They aren't a design.
Why you need a battery at all
Demand from your loads doesn't always match what the panels make at that moment, so stand-alone systems generally use battery banks1. The battery stores energy when there's extra and gives it back when it's needed1.
Step 1: Start from the corrected budget
Use the total from your budget, then allow for what the inverter wastes, as covered on the page about how inverters waste energy. Low efficiency loads can increase energy consumption too1, which is one more reason to measure.
Step 2: Decide how many days of backup
This is your call, not a formula. Count the cloudy days you want to ride through without recharging. One day is thin. More days means a bigger, dearer battery.
Step 3: Allow for the usable share
You can't drain a battery to zero without shortening its life. Depth of discharge (DoD) is how much of the capacity you take out. For almost all rechargeable types there's a link between depth of discharge and cycle life2.
Two sources give examples:
| Lead-acid deep-cycle | Lithium iron phosphate | |
|---|---|---|
| Example depth of discharge | Around 50% suggested3 | Charge often kept between 15% and 85%, a DoD of 70%2 |
| What it means | Plan to use about half3 | Plan to use about 70%2 |
These are examples, not rules for your battery. Use the limits in the maker's manual for your model.
Worked example
Say your corrected budget is 1,000 Wh a day. That round number is invented for the demonstration4. You want two days of backup.
- Energy to store for backup: 1,000 Wh × 2 = 2,000 Wh4.
- Lead-acid at a 50% depth of discharge: 2,000 ÷ 0.5 = 4,000 Wh of battery3.
- Lithium at a 70% depth of discharge: 2,000 ÷ 0.7 = about 2,860 Wh of battery2.
Many batteries are sold in amp-hours, so convert. One watt is what you get from one amp across one volt4, and an amp-hour is one amp flowing for one hour5. So watt-hours ÷ volts = amp-hours. At 12 V, 4,000 Wh is about 333 Ah, and 2,860 Wh is about 238 Ah. The 12 V figure is just for the example.
The lithium bank comes out smaller on paper for the same backup. That's a property of the depth-of-discharge figures, not a verdict on either type. Price, weight, temperature limits and the maker's charging rules all matter too.
Step 4: Size the panels
Panels have to refill what you use each day. A solar panel's rating is in watts, and the energy it gives is watts times hours of full sun. Sunshine is measured in kilowatt hours per square metre6, and it varies by place and season. Get a local figure for your site and for your worst month.
As a made-up example, say your site gets the equivalent of 4 hours of full sun a day in winter. Then 1,000 Wh ÷ 4 h = 250 W of panels, before any losses4. Real systems lose some on the way, so plan for more than that.
Safety: this is where a licensed electrician comes in
Batteries can deliver very high current. Before you connect or disconnect a battery cable, isolate the battery first. Then work to the maker's manual for the battery, inverter or fuse involved. If you're unsure, call a licensed electrician. This is never routine DIY.
Lithium batteries need extra care. They can be a safety hazard because they contain a flammable electrolyte, and a damaged one may become pressurized7. Failing to follow current and voltage limits can result in excessive heating of the battery7. A faulty battery can cause a serious fire7, and a short circuit can make a cell overheat and possibly catch fire7. So don't use or charge a damaged battery. The maker's charging limits (current and voltage) and storage limits apply to your battery. Look them up in the maker's manual for your model, and don't use numbers from a web page instead.
Fixed mains wiring, switchboards and any grid connection are never DIY. In Australia, that's licensed electrical work. Panels and batteries that feed a building's wiring need a licensed electrician to design and connect them.
Sources
- Stand-alone power system, Wikipedia
- Depth of discharge, Wikipedia
- Deep-cycle battery, Wikipedia
- Watt, Wikipedia
- Ampere hour, Wikipedia
- Solar irradiance, Wikipedia
- Lithium-ion battery, Wikipedia