# Solar Panel Quantitative Model Essay

SOLAR POWER MODELING
QUANTITATIVE MODEL
RESIDENCE IN BUFFALO,NY AND PHOENIX,AZ
1) QUANTITATIVE FORMULA:
Number of Solar Panels =
Electricity Demand of Site kwh/day
DE rate Factor * Power Produced by One Panel kW * Solar Insolation h/day
Area Required= Number of Panels *Area of Panel
2) ASSUMPTIONS:
Assume that all solar panels are oriented the same way
Assume intermittency is in terms of solar insolation
Assume that each residence in a city demands that same amount of electricity
Assume that only the Sharp ND-216UC1 solar panel is used
Assume the decimal in Computational Results for the number of solar panels are rounded up to the nearest whole number to account for a whole solar panel so sufficient electricity demand is met
3) VARIABLES USED:
Electricity Demand of Site (kwh/day)- the electricity consumed for the residence in one day
DE rate Factor- the conversion factor to convert DC electricity to more commonly used AC form
Power Produced by One Panel (kw)- the kilowatts of electricity produced by the specific panel being used, in this case Sharp ND-216UC1
Solar Insolation (h/day)- the average hours of sun radiation in the given area
Number of Solar panels- the number of solar panels it will take to provide sufficient electricity to the residence
Area of panel- The surface area of the panel in terms of how much space the solar panel will take up
Area required- the total space needed for the number of solar panels to produce a sufficient amount of electricity
4) VARIABLE VALUES:
BUFFALO RESIDENCE
Electricity Demand of Site kwh/day7.19Link 1
11.795
0.77
Power Produced by one Panel (kw)0.216Link 4
0.216
3.5
Area of Solar Panel (mm^2)1630160Link 7
1.63016
PHOENIX RESIDENCE
Electricity Demand of Site kwh/day35.67Link 8
24.835
0.77
Power Produced by one Panel (kw)0.216Link 4
0.216
7.5
Area of Solar Panel (mm^2)1630160Link 7
1.63016
MODEL RESULTS
1. Number of Solar Panels
Electricity Demand of Site kwh/dayDE rate FactorPower Produced by one Panel (kw)Solar Insolation h/dayComputational Results
Buffalo11.7950.770.2163.521
Phoenix24.8350.770.2167.520
2. Area Required
Number of PanelsArea of Solar Panel (in^2)Computational Results (m^2)
Buffalo211.6301634.23336
Phoenix201.6301632.6032
Number of PanelsArea of Solar Panel (in^2)Computational Results (m^2)
Buffalo211.6301634.23336
Phoenix201.6301632.6032

QUANTITATIVE MODEL
CENTER FOR FINE ARTS,UB NORTH CAMPUS
1) QUANTITATIVE FORMULATION: Model that calculated the number of SharpND-216UC1 solar panels needed to meet 100% of electricity demands at the Center for Fine Arts and the associated area required.

Number of solar panels=Electricity demand of site(kwh/day)
(Derate factor)*Power produced by one panel(kw)*Solar insulation(h/day)
Associated area = Number of panels*Area of each panel(m^2)
2) ASSUMPTIONS:
All solar panels are laid flat on the surface
Assume that the entire area for the Center for the arts is utilized for solar panels
Each panel should take up the same area
3) VARIABLES USED:
Electricity demand of site (VAR 1): How much KWH the Center for the Arts uses daily
Derate factor (VAR 2): factor that causes devices to run at less than its maximum power
Power produced by one panel (VAR 3): How many KW one solar panel is able to produce
Solar insulation (VAR 4): Measure of solar radiation energy on a given area over a period of time
Area of each solar panel (VAR 5): It is the area of each solar panel.

We will write a custom essay sample on
Solar Panel Quantitative Model Essay
or any similar topic only for you

Number of solar panels (VAR 6): This value is calculated from the first equation and utilized in the second equation.

4) VARIABLE VALUES:
LINK 1: This value has been provided by student leader Bob DeBortoli.

LINK 7: It has been calculated using the best values of the variables.

MODEL RESULTS
VAR 5VAR 6RESULT
ASSOCIATED AREA1.631069417431.22
VAR 1VAR 2VAR 3VAR 4RESULT
NUMBER OF SOLAR PANELS7736.70.770.2164.3510694
QUANTITATIVE SOLAR MODEL
UB NORTH CAMPUS
1) QUANTITATIVE FORMULATION: Model that calculates the following:
a) The number of Sharp ND-216UC1 solar panels needed to meet 100% electricity demand of entire UB North Campus.

b) The associated area (m^2) required.

EQUATIONS:
Number of solar panels=Electricity demand of UB North Campus (kWh/day)
Derate Factor*Power produced by one panel (kW)*Solar Insolation (h/day)
Associated area=Number of solar panels*Area of each solar panel (m^2)
2) MODEL ASSUMPTIONS:
The whole area of North Campus is used up by the solar panels.

Each solar panel lies flat on its surface.

The area of each panel is the same.

The electricity consumption is the same on each day of the week.

The term h/day is obtained by multiplyingkWh/m^2/day by m^2/kW.

3) VARIABLES USED:
Electricity demand of UB North Campus (kWh/day) (VAR 1): The electricity demand of the whole of UB North Campus per day.
Derate Factor (VAR 2): The value that represents the losses from the DC nameplate power rating to determine the AC power rating; the system derate factor is the mathematical product of derate factors of individual components in a PV system.

Power produced by one panel (kW) (VAR 3): It is the power produced by one solar panel.

Solar Insolation (h/day) (VAR 4): Insolation (Incident solar radiation) is a measure of solar radiation energy received on a given surface area in a given time. (http://insolation.askdefine.com/)
Area of each solar panel (m^2) (VAR 5): It is the area of each solar panel.

Number of solar panels (VAR 6): This value is calculated from the first equation and utilized in the second equation.

0.77
0.216
4.35
1.63
4) VARIABLE VALUES:
LINK 1: This value has been provided by student leader Bob DeBortoli.

LINK 8: It has been calculated using the best values of the variables.

MODEL RESULTS
VAR 1VAR 2VAR 3VAR 4RESULT
NUMBER OF SOLAR PANELS430301.8580.770.2164.35594757
VAR 5VAR 6RESULT
ASSOCIATED AREA1.63594757969453.91
UB SOUTH CAMPUS
QUANTITATIVE MODEL
1)QUANTITATIVE FORMULAS:
Number of the Solar panels required =electricity demand of UB south campus (kWh/day).

De-Rate factor* Power output of one panel (kW)*Solar Insolation
Area required=electricity demand of UB south campus (kWh/day)* Area of a solar panel
De-Rate factor* Power produced by one panel (kW)*Solar Insolation
2)ASSUMPTIONS:
Assume that all panels are flatly-oriented
Assume that that the solar insolation is 1 kW/m2
Assume that all the area of UB south campus is used to build solar panels
Assume that we are only using the Sharp ND- 216UC1 solar panel.

3)VARIABLES USED:
Power output of a solar panel: It is the maximum power that a solar panel can produce measured in kW.
Solar insolation: is a measure of solar radiation energy received on a given surface area and recorded during a given time.

Electricity demand per day: It is the quantity of electric energy delivered to consumers per day.

DeRate Factor: It is the electricity losses throughout the system; through inverters and cables
Area of a Solar panel: it is the Area of panel varies according to its dimensions
Area of UB south campus
4)VARIABLE VALUES:
MODEL RESULTS