Q3: Consider evaluation of different temperatures of solar photovoltaic/thermal system (PVT) as shown in Figure 1(a). The following set of differential equations represent energy balance equations to be solve using matrices and eigenvalues using MATLAB (or Octave):

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Q3: Consider evaluation of different temperatures of solar photovoltaic/thermal system
(PVT) as shown in Figure 1(a). The following set of differential equations represent
energy balance equations to be solve using matrices and eigenvalues using MATLAB
(or Octave):
dTglass = -0.75Tolass + 0.75TpvtT
dt
(1)
dTpyT
= -
dt
1.18Tglass – 22TPVT + 23Twax
(2)
dTwax
= 127glass + 18Tpyt – 19 Twax
dt
(3)
Where, Tatass, Tpyr, and Twax, are temperatures illustrated in Figure 1(b). At time t=0 the initial
conditions are Tatass = 35 , TpyT = 33, and Twax = 31 °C.
Call seppty
Ia tree water
Tank
Glass
PVT
Expu
Nane PCMPVT Callector
Tub
Tepe
Sterg Tak
e Ma
Nanou
Hest Eschanger
Container
Teket
vae
Pump
for draie
(a)
(b)
Figure 1. (a) Schematic diagram of the nano-PCM and nanofluid PVT system, (b) mathematical model in context of the
PVT collector: glass, PV, wax layer and tube coil, respectively [1].
Transcribed Image Text:Q3: Consider evaluation of different temperatures of solar photovoltaic/thermal system (PVT) as shown in Figure 1(a). The following set of differential equations represent energy balance equations to be solve using matrices and eigenvalues using MATLAB (or Octave): dTglass = -0.75Tolass + 0.75TpvtT dt (1) dTpyT = - dt 1.18Tglass – 22TPVT + 23Twax (2) dTwax = 127glass + 18Tpyt – 19 Twax dt (3) Where, Tatass, Tpyr, and Twax, are temperatures illustrated in Figure 1(b). At time t=0 the initial conditions are Tatass = 35 , TpyT = 33, and Twax = 31 °C. Call seppty Ia tree water Tank Glass PVT Expu Nane PCMPVT Callector Tub Tepe Sterg Tak e Ma Nanou Hest Eschanger Container Teket vae Pump for draie (a) (b) Figure 1. (a) Schematic diagram of the nano-PCM and nanofluid PVT system, (b) mathematical model in context of the PVT collector: glass, PV, wax layer and tube coil, respectively [1].
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