Off-Grid Design
Available at Solar Taos 2010 Product Catalog

 
OFF-GRID DESIGN

SYSTEM SIZING INFORMATION

The size of a solar electric system depends on the amount of power that is required (watts), the amount of time it is used (hours) and the amount of energy available from the sun in a particular area (sun-hours per day). The user has control of the first two of these variables, while the third depends on the location.

Conservation
Conservation plays an important role in keeping down the cost of a photovoltaic system. The use of energy efficient appliances and lighting, as well as non-electric alternatives wherever possible, can make solar electricity a cost competitive alternative to gasoline generators and, in some cases, utility power.

Cooking, Heating, & Cooling
Conventional electric cooking, space heating and water heating equipment use a prohibitive amount of electricity. Electric ranges use 1500 watts or more per burner, so bottled propane or natural gas is a popular alternative to electricity for cooking. A microwave oven has about the same power draw, but since food cooks more quickly, the amount of kilowatt hours used may not be large. Propane and wood are better alternatives for space heating. Good passive solar design and proper insulation can reduce the need for winter heating. Evaporative cooling is a more reasonable load than air conditioning and in locations with low humidity, the results are almost as good. One plus for cooling—the largest amount of solar energy is usually available when the temperature is the highest.

Lighting
Lighting requires the most study since many options exist in type, size, voltage and placement. The type of lighting that is best for one system may not be right for another. The first decision is whether your lights will be run on low voltage direct current (DC) or conventional 110 volt alternating current (AC). In a small home, an RV, or a boat, low voltage DC lighting is often the best choice. DC wiring runs can be kept short, allowing the use of fairly small gauge wire. Since an inverter is not required, the system cost is lower. When an inverter is part of the system, a home will not be dark if the inverter fails and the lights are powered directly by the battery. In addition to conventional-size medium-base low voltage bulbs, the user can choose from a large selection of DC fluorescent lights, which have 3 to 4 times the light output per watt of power used compared with incandescent types. Halogen bulbs are 30% more efficient and actually seem almost twice as bright as similar wattage incandescent bulbs given the spectrum of light they produce. High quality fluorescent lights are available for 12 and 24 volt systems.

In a large installation or one with many lights, the use of an inverter to supply AC power for conventional lighting is cost effective. AC compact fluorescent lights will save a tremendous amount of energy. It is a good idea to have a DC-powered light in the room where the inverter and batteries are in case there is a problem. AC light dimmers will only function properly on AC power from inverters that have pure sine wave output.

Refrigeration
Gas powered absorption refrigerators are a good choice in small systems if bottled gas is available. Modern absorption refrigerators consume 5-10 gallons of LP gas/month. If an electric refrigerator will be used in a stand-alone system, it should be a high-efficiency type. Some high-efficiency conventional AC refrigerators use as little as 1200 watt-hours of electricity/day at a 70º average air temperature. A comparably sized Sun Frost refrigerator/freezer uses half that amount of energy and a Sundanzer refrigerator (without a freezer) uses less than 100 watt-hours per day. The higher cost of good quality DC refrigerators is made up by savings in the number of solar modules and batteries required.

Major Appliances
Standard AC electric motors in washing machines, larger shop machinery and tools, swamp coolers, pumps, etc. (usually 1/4 to 3/4 horsepower) require a large inverter. Often, a 2000 watt or larger inverter will be required. These electric motors are sometimes hard to start on inverter power, they consume relatively large amounts of electricity, and they are very wasteful compared to high-efficiency motors, which use 50% to 75% less electricity. A standard washing machine uses between 300 and 500 watt-hours per load, but new front-loading models use less than 1/2 as much power. If the appliance is used more than a few hours per week, it is often cheaper to pay more for a high-efficiency appliance rather than make your electrical system larger to support a low-efficiency load. Vacuum cleaners usually consume 600 to 1,000 watts, depending on how powerful they are, about twice what a washer uses, but most vacuum cleaners will operate on inverters larger than 1,000 watts since they have low-surge motors.

Small Appliances
Many small appliances such as irons, toasters and hair dryers consume a very large amount of power when they are used but by their nature require very short or infrequent use periods. If the system inverter and batteries are large enough, they will be usable. Electronic equipment, such as stereos, televisions, VCR’s and computers have a fairly small power draw. Many of these are available in low voltage DC as well as conventional AC versions. In general, DC models use less power than their AC counterparts.

OFF-GRID LOADS WORKSHEET

Use the below worksheet to determine the total energy in amp-hours per day used by all the AC and DC loads in your system.

Calculate your AC loads

If there are no AC loads, skip to Step 5

1. List all AC loads, wattage and hours of use per week in the spaces provided. Multiply watts by hours/week to get watt-hours per week (WH/Wk). Add up all the watt hours per week to determine AC watt-hours per week. Use a separate sheet of paper if you need to list more loads than the space below allows

NOTE: Wattage of appliances can usually be determined from tags on the back of the appliance or from the owner’s manual. If an appliance is rated in amps, multiply amps by operating voltage (120 or 240) to find watts.

2. Convert to DC watt-hours per week. Multiply line 1 by 1.15 to correct for inverter loss. ______________

3. Inverter DC input voltage; usually 12, 24 or 48 volts. This is DC system voltage. ______________

4. Divide line 2 by line 3. This is total DC amp-hours per week used by AC loads. ______________

 

Description of AC loads run by inverter

Watts

x

Hours/Week

=

Watt Hours/Week

1
2
3
4
5
6
7
8
9
10

Total Watt Hours / Week


Calculate your DC loads

5. List all DC loads in the space provided below. If you have no DC loads, enter "0" in line 7 and proceed to line 8.

6. DC system voltage. Usually 12, 24, or 48 volts. ______________

7. Find total amp-hours per week used by DC loads. Divide line 5 by line 6. ______________

8. Total amp-hours per week used by AC loads from line 4. ______________

9. Add lines 7 and 8. This is total amp-hours per week used by all loads. ______________

10. Divide line 9 by 7 days. This is total average amp-hours per day that needs to be supplied by the battery. ______________

Enter this number on line 1 on the PV Array Design Worksheet, and on line 1 of the Battery Sizing Worksheet.

 

Description of DC loads

Watts

x

Hours/Week

=

Watt Hours/Week

1
2
3
4
5
6
7
8
9
10

Total Watt Hours / Week

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OFF-GRID PV ARRAY DESIGN WORKSHEET

Use this worksheet to calculate the total number of solar modules required for your system

To find average sun-hours per day in your area (line 3), check local weather data, look at the map below or find a city on the next page that has similar weather to your location. If you want year- round autonomy, use the lowest of the two figures. If you want 100% autonomy only in summer, use the higher figure. If you have a utility intertie system with net metering, use the yearly average figure. The peak amperage of the module you will be using can be found in the module specifications. You can also get close enough if you divide the module’s rated wattage by the peak power point voltage, usually 17 to 17.5 for a 12 volt module or 34 to 35 volts for a 24 volt module.

 
Step 1 Total average amp-hours per day needed from the System Loads Worksheet, line 10
Step 2 Multiply line 1 by 1.2 to compensate for loss from battery charge / discharge
Step 3 Average sun-hours per day in your area
Step 4 Divide line 2 by line 3. This is the total solar array amps required
Step 5 Optimum or peak amps of solar module used. See module specifications
Step 6 Total number of solar modules in parallel required. Divide line 4 by 5
Step 7 Round off to the next highest whole number
Step 8 Number of modules in each series string to provide DC battery voltage - See chart below  
Step 9 Multiply line 7 by line 8 to get the total number of solar modules required.

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Nominal System Voltage

Number of Series Connected Modules Per String

Volts

12V Module

24V Module

12

1

N/A

24

2

1

48

4

2

The Charts below show Sun-Hours per Day for the U.S.

 

Yearly Average

Four Week Average Dec 7 through Jan 4

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Solar Insolation

This chart shows solar insolation in kilowatt-hours per square meter per day in many U.S. locations. For simplicity, we call this figure "sun-hours per day." To find average sun-hours per day in your area (line 3 on page 12), check local weather data, look at the map on the previous page or find a city in the table below that has similar weather to your location. If you want year-round autonomy, use the lowest of the two figures. If you want only 100% autonomy in summer, use the higher figure. If you want a utility intertie system, and you have net metering available in your state, use the average figures.

State

City

High

Low

Avg

State

City

High

Low

Avg

State

City

High

Low

Avg

AK

Fairbanks

5.87

2.12

3.99

KS

Manhattan

5.08

3.62

4.57

NY

Schenetady

3.92

2.53

3.55

AK

Matanuska

5.24

1.74

3.55

KS

Dodge City

6.50

4.20

5.60

NY

Rochester

4.22

1.58

3.31

AL

Montgomery

4.69

3.37

4.23

KY

Lexington

5.97

3.60

4.94

NY

New York City

4.97

3.03

4.08

AR

Bethel

6.29

2.37

3.81

LA

Lake Charles

5.73

4.29

4.93

OH

Columbus

5.26

2.66

4.15

AR

Little Rock

5.29

3.88

4.69

LA

New Orleans

5.71

3.63

4.92

OH

Cleveland

4.79

2.69

3.94

AZ

Tuscon

7.42

6.01

6.57

LA

Shreveport

4.99

3.87

4.63

OK

Stillwater

5.52.

4.22

4.99

AZ

Page

7.30

5.65

6.36

MA

E. Wareham

4.48

3.06

3.99

OK

Oklahoma City

6.26

4.98

5.59

AZ

Pheonix

7.13

5.78

6.58

MA

Boston

4.27

2.99

3.84

OR

Astoria

4.76

1.99

3.72

CA

Santa Maria

6.52

5.42

5.94

MA

Blue Hill

4.38

3.33

4.05

OR

Corvallis

5.71

1.90

4.03

CA

Riverside

6.35

5.35

5.87

MA

Natick

4.62

3.09

4.10

OR

Medford

5.84

2.02

4.51

CA

Davis

6.09

3.31

5.10

MA

Lynn

4.60

2.33

3.79

PA

Pittsburg

4.19

1.45

3.28

CA

Fresno

6.19

3.42

5.38

MD

Silver Hill

4.71

3.84

4.47

PA

State College

4.44

2.79

3.91

CA

Los Angeles

6.14

5.03

5.62

ME

Caribou

5.62

2.57

4.19

RI

Newport

4.69

3.58

4.23

CA

Soda Springs

6.47

4.40

5.60

ME

Portland

5.23

3.56

4.51

SC

Charleston

5.72

4.23

5.06

CA

La Jolla

5.24

4.29

4.77

MI

Sault Ste. Marie

4.83

2.33

4.20

SD

Rapid City

5.91

4.56

5.23

CA

Inyokern

8.70

6.87

7.66

MI

E. Lansing

4.71

2.70

4.00

TN

Nashville

5.20

3.14

4.45

CO

Grandby

7.47

5.15

5.69

MN

St. Cloud

5.43

3.53

4.53

TN

Oak Ridge

5.06

3.22

4.37

CO

Grand Lake

5.86

3.56

5.08

MO

Columbia

5.50

3.97

4.73

TX

San Antonio

5.88

4.65

5.30

CO

Grand Junction

6.34

5.23

5.85

MO

St. Louis

4.87

3.24

4.38

TX

Brownsville

5.49

4.42

4.92

CO

Boulder

5.72

4.44

4.87

MS

Meridian

4.86

3.64

4.43

TX

El Paso

7.42

5.87

6.72

DC

Washington

4.69

3.37

4.23

MT

Glasgow

5.97

4.09

5.15

TX

Midland

6.33

5.23

5.83

FL

Aplachicola

5.98

4.92

5.49

MT

Great Falls

5.70

3.66

4.93

TX

Fort Worth

6.00

4.80

5.43

FL

Belie Is.

5.31

4.58

4.99

MT

Summit

5.17

2.36

3.99

UT

Salt Lake City

6.09

3.78

5.26

FL

Miami

6.26

5.05

5.62

NM

Albuquerque

7.16

6.21

6.77

UT

Flaming Gorge

6.63

5.48

5.83

FL

Gainsville

5.81

4.71

5.27

NB

Lincoln

5.40

4.38

4.79

VA

Richmond

4.50

3.37

4.13

FL

Tampa

6.16

5.26

5.67

NB

N. Omaha

5.28

4.26

4.90

WA

Seattle

4.83

1.60

3.57

GA

Atlanta

5.16

4.09

4.74

NC

Cape Hatteras

5.81

4.69

5.31

WA

Richland

6.13

2.01

4.44

GA

Griffin

5.41

4.26

4.99

NC

Greensboro

5.05

4.00

4.71

WA

Pullman

6.07

2.90

4.73

HI

Honolulu

6.71

5.59

6.02

ND

Bismark

5.48

3.97

5.01

WA

Spokane

5.53

1.16

4.48

IA

Ames

4.80

3.73

4.40

NJ

Sea Brook

4.76

3.20

4.21

WA

Prosser

6.21

3.06

5.03

ID

Boise

5.83

3.33

4.92

NV

Las Vegas

7.13

5.84

6.41

WI

Madison

4.85

3.28

4.29

ID

Twin Falls

5.42

3.42

4.70

NV

Ely

6.48

5.49

5.98

WV

Charleston

4.12

2.47

3.65

IL

Chicago

4.08

1.47

3.14

NY

Binghampton

3.93

1.62

3.16

WY

Lander

6.81

5.50

6.06

IN Indianapolis 5.02 2.55 4.21 NY Ithica 4.57 2.29 3.79          

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Battery Sizing Worksheet

Use this worksheet to determine what size battery is required for your system. Battery size is measured in amp-hours. This is a measure of battery capacity. Battery voltage is determined by the number of "cells" in series. All lead-acid battery cells have a nominal output of 2 volts. Actual cell voltage varies from about 1.7 volts at full discharge to 2.4 volts at full charge. 12 volt lead-acid batteries are made of 6 separate cells in one case. 6 volt batteries are made of 3 cells in one case. Putting battery cells in parallel increases amp-hour capacity, but does not change voltage.

 

Battery Temperature

Multiplier

80ºF/26.7ºC

1

70ºF/21.2ºC

1.04

60ºF/15.6ºC

1.11

50ºF/10.0ºC

1.19

40ºF/4.4ºC

1.3

30ºF/-1.1ºC

1.4

20ºF/-6.7ºC

1.59

 
Step 1 Total average amp-hours per day required from the Systems Load Worksheet, line 9:
Step 2 Maximum number of continuous cloudy days expected in your area :
Step 3 Multiply line 1 by line 2:
Step 4 Divide line 3 by 0.8 to maintain a 20% reserve after deep discharge period. (Divinding line 3 by a more conservative 0.5 will maintain a 50% reserve and increase battery life):  
If no special conditions below apply, skip to line 9:
Special Condition #1: Heavy Electrical Load
Step 5 Maximum amperage that will be drawn by the loads for 10 minutes or more :
Step 6 Multiply line 5 by line 5.0
Special Condition #2: High Charge Current
Step 7 Maximum output amperage of PV array or other battery charger :
Step 8 Multiply line 7 by 5.0 hours:
Step 9 Amp hours from line 4, 6 or 8, whichever is largest :
Step 10 If you are using a lead acid battery, select the multiplier from the Battery Temperature Chart above which corresponds to the battery’s wintertime average ambient temperature  
Step 11 Multiply line 9 by line 10. This is your optimum battery size in amp-hours:
Step 12 Amp-hours of battery chosen. (Industrial Cell, T105=220, L16=350, etc.):
Step 13 Divide line 11 by line 12. This is the total number of batteries in parallel required
Step 14 Round off to the next highest whole number. This is the number of parallel strings required.
Step 15 To determine the number of batteries required in series, divide the system voltage (12, 24,48) by the voltage of the chosen battery (2V, 6V or 12V).  
Step 16 Multiply line 14 by line 15. This is the total number of the chosen battery needed for the system  

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    This page last up-dated on August 18, 2010