Answered: It is planned to install an off-grid…

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...

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Question

It is planned to install an off-grid photovoltaic system in a residence. For this planning
The following data will be used:
• Average daily solar energy for the winter season is 3.5 kWh / m² /day, daily in winter sunshine duration is 8h/day, energy demand in winter is 450kWh/month.
• Daily average solar energy for the summer season is 5 kWh/ m²/day, daily in summer sunshine duration is 10h/day, summer energy demand is 330 kWh/month.
• Daily energy need for winter and summer seasons is 16h /day. To be used
The average efficiency of solar cells is around 10%.
Photovoltaic panel surface area required for summer season to ensure energy continuity,
Calculate the photovoltaic panel power and battery capacity.

Expert Solution

Step 1

Given data is -

$A_{1} = In the winter season appliances power demand= 3.5 {kWh/m}^{2} / d a y A_{2} = In the summer season appliances power demand= 5 kWh/ m^{2} / d a y A_{3} = In the winter and summer season appliances power demand= 8.5 kWh/ m^{2} / d a y$

Time duration -

$T_{1} = winter time duration = 8 h/day T_{2} = summer time duration = 10 h/day T_{3} = winter and summer time duration = 16 h/day$

Step 2

Calculation of the photovoltaic panel power-

$\begin{array}{rcl} Total appliance use & = & (A_{1} T_{1} + A_{2} T_{2} + A_{3} T_{3}) \\ = & (3.5 kWh \times 8 h) + (5 kWh \times 10 h) + (8.5 kWh \times 16 h) \\ = & 214 {kWh/m}^{2} /day \\ Total PV panel power needed & = & 214 \times 1.3 \\ = & 278.2 {kWh/m}^{2} /day \end{array}$

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