Solar Calculations Math Tutorial
for Solar Energy Power Systems

Electricity can be a mystery to folks who have never had any experience working with it, or for folks who took physics in high school (that's me) and can't remember much of anything other than that the battery made the light bulb glow.

Basic electric calculations for off grid solar applications are not that hard, but you have to know the terminology.  Here it is.  Don't quit now, it's really pretty easy, but you have to learn the vocabulary for it to make sense.

Amps

Amps is a measure of energy flow, measured in electrons moving per second.  The amount of Amps represents the amount of charge flowing past a point in a particular time period.

Volts

Volts is a measure of the force of the moving electrons.  It's the pressure which causes electrical current to flow. It is also used to describe the amount of energy stored, like a 12 volt battery.

Watts

Watts is a measure of power.  It describes the amount of energy converted by an electrical circuit.

Ohms

Ohms is a measure of electrical resistance.  It you have a wire with two conductors, like a lamp cord, and connect one conductor to the positive and the other to the negative pole of a 12 volt battery (like jump starting a car), the smaller the wire diameter and the longer length of the wire the greater the Ohms, which causes the Volts delivered to decrease.  An increased resistance measured in Ohms causes a reduction in current aka Volts.

The Good Old Garden Hose Example

Get your garden hose and turn on the water so that it is flowing at the rate of a couple of gallons a minute, so that you could fill up a 5 gallon bucket in 2-3 minutes.

The rate of flow of the water, which is pretty slow, is equivalent to Amps.  The lower the flow the lower the amps.

The force of the water coming out of the hose is the Volts.  The lower the force, the lower the volts.

The power (energy) of the water coming out of the hose is Watts.  Put your thumb over the end of the hose and see how far you can squirt.  The harder you squeeze the farther you can squirt?  The water flow is still a couple of gallons per minute.  In the same way, if you increase the Volts, a small amount of Amps can turn into a lot of Watts.

If you link together 2 or 3 or 4 garden hoses without changing the setting on the faucet, what you will see is that the rate of flow goes down because the resistance of the water passing though the hose reduces the flow.  This same effect is measured in Ohms in electrical circuits.

Solar Calculations Math

All of these electrical units of measure are used together to determine the Volts, Amps and Watts for any particular solar electric application.  I am not going to talk about Ohms or Ohms Law.  Ohms is not important for calculating solar component sizing.  Ohms IS important when you start looking at the available Volts and wire sizes and the distances between components like batteries, solar panels, charge controllers and inverters.  The lower the Volts and the greater the distance traveled, the bigger the wire that is needed.

Volts x Amps = Watts

This is the starting point for doing the math.

Convert Watts to Amps: Amps = Watts / Volts  (slash = divide)

12 Watts / 12 Volts = 1 Amp

Convert Amps to Watts:  Watts = Amps x Volts

1 Amp x 12 Volts = 12 Watts

Convert Watts to Volts:  Volts = Watts / Amps

120 Watts / 10 Amps = 12 Volts

Convert Volts to Watts:  Watts = Amps x Volts

12 Amps x 12 Volts = 144 Watts

Energy Measurements Over Time

When you are trying to figure out what size solar panels you need, and how much battery storage, and what size charge controller or inverter you need for any particular solar energy application, the time that the sun shines on your panels, the time between sunny days (cloudy weather), the time that you what to be able to operate whatever you are going to power with your solar energy - everything is about time. 

So, watts and amps are measured by time for any given voltage.  The voltage of your off grid system is a given based on what you decide - you are going to have a 12 volt system, or a 24 volt system, or a 48 volt system based on the batteries you decide to use.

Watt-Hours
Used to measure energy inflow from your solar panel
and outflow from the devices you are powering
Watt-Hours per day or other time period

Amp-Hours
Used to measure energy storage and outflow in batteries
and energy inflow from your solar panel.

Summary

Solar energy math calculations for system sizing can be done with a simple calculator using the basic formulas shown here.

I will write another page soon which will take you through the steps of sizing a system, which starts with knowing the electrical load of what you want to operate with your solar energy system.  You need to know for every electrical device the Amps, Watts, Volts and intended operating time during a 24 hour time period.

If you want to see an example already in the website, read my page about CPAP battery backup emergency solar power.

When you calculate your loads, you will quickly see the advantage of using the most energy efficient devices you can find, like our SunDanzer solar refrigerators and freezers for example.  High efficiency refrigerators and other appliances like Vari-Cyclone super energy efficient ceiling fans, Pico portable LED lights and other electrical devices used around the house are less expensive than solar electric components.  If you can downsize your loads through efficiency, your solar system will be less costly and easier to justify from a return on investment perspective.

Learn more, download the Off Grid System Design Worksheet.

Please contact us today for more information or assistance with your solar applications.