SolarWaterHeater

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Objective

This solar water heater project employs electric commercially available solar panels to collect sun energy and heat water in a conventional electric hot water heater.

The solar panels are conventional solar panels generating DC electricity and the water heater is a commonly available unit normally powered by household AC electricity.

Design

Most electric hot water heaters for household use heat water using a resistive heating element immersed in the water and a simple bi-metallic thermostat. In the United States, they are usually powered by either 120 VAC or 240 VAC. The thermostat usually employs a bimetallic strip with electrical contacts to interrupt the electricity once the desired temperature has been reached and establish electricity flow when the water temperature drops below a threshold.

Tall water heaters often employ two heating elements and thermostats to heat the upper and lower sections of the tank. Shorter water heaters usually have only one heating element.

First, calculate the resistance of the hot water heater heating element, then the solar supply voltage to match this resistance and finally, the number of panels necessary for heating the water.

WaterHeaterDiagram.png

Test Case

The Unit used for the initial testing is a Kenmore Power Miser 6 with the following specs:

WaterHeater.png

Capacity: 40 gallon
Rated voltage: 240 VAC
Rated Power: 3800 Watts

WaterHeaterSpecs.png


The solar panels are Sanyo

24 VDC
230 Watts

The test design is as follows

Water heater resistance:

Power = Voltage * Current (P = E * I) => I = P/V
R = E/I = E/(P/E) = 240 Volts  / (3800 Watts / 240 Volts) = 15.1 Ohms (Close: It measured 16 Ohms)

Max solar panel power output:

230 Watts
24 Volts
9.5 Amps

Calculate the number of series connected solar panels to match the load at 9.5 Amps:

Supply voltage = R * I = 15.1 * 9.5 = 143.45 Volts
#panels = Supply voltage / Panel voltage = 143.45 / 24 = 5.9 Panels

6 panels at max output produce

6 * 230 W = 1.380 kw

The average water temperature will be the same as the ground temperature, as shown in this illustration:

EarthTemperatures.png

Earth Temperature Source

Calculate the energy required to raise 40 gallons of water from the Dallas ground temperature (19.5 degrees C) to the hot water temperature (~ 51.6 degrees C):

40 Gallons = 151,416 cc energy to raise temperature by 51.6 - 19.5 = 32.4 degrees C:

1 calorie * 151,416 * 32.4 = 4905878 calories or 20539930 watt seconds or 5.705 kwh

Use the power figure above for the 6 panel array to calculate the time required to heat the water:

5.705 kwh / 1.380 kw = 4.134 hours

Summary

It works!