When we compare the amount of energy that a PV cell can generate on a typical su

Question

When we compare the amount of energy that a PV cell can generate on a typical summer and winter day, there are two competing effects: (a) In summer, the days are longer, and (b) the temperatures are higher. Use Equations 9.11, 9.12, and 11.2 to gauge the relative importance of these two effects, and determine their relative sizes. Assume we are comparing July 1 and January 1 at latitude 45° North, and that the tilt of the solar collector gives the same maximum irradiance at noon on the 2 days. Assume that the average temperature is 0°C and 25°C in January and July, respectively. N= 8.78h on Jan 1 N=15.18h on Jul 1st.

Equation 9.1: Equation 9.2: G(t)=G_max*sin(pi*t/N)

Equation 11.2: (1/p_m)*(d*p_m/dT) = -0.0045/^degC Equation 9.1: Equation 9.2: G(t)=G_max*sin(pi*t/N)

Explanation / Answer

Given Data From the Question

A) The summer, The Days are Longer

July 1 at latitude 45 degree North,  

given average temperature is 25 degree,

N= 15.18h  

Using the value of Pi= 3.14

putting the values in the given Equation 9.2

G(25)= G_max* sin(3.14*25/15.18)

G(25)= G_max*sin(5.1712)

G(25)= G_max*(-0.896)

G(25)= 1 Approximately

1 January  at latitude 45 degree North

Given assumed temperature  is 0 degree

N = 8.78h

Using the value of Pi= 3.14

Now putting the Value in equation 9.2 ;  

G(0)= G_max*sin(3.14*0/8.78)

G(0) = 0 [since sine of 0 is zero]

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