Sizing a solar system
Peak sun hours, panel tilt and the sun's angle: design a system for a building like a Lantern.
Planned. This module is part of the plan and is not written yet.
Why it matters
The Lantern's published design shows 16 panels of 550 W. Here you check that design with the same method engineers use for a clinic or a school.
Draft outline · in review- For
- Level 11–12 · SSS 2 to SSS 3 (WASSCE)
- Inside
- 6 lessons and a test · about 120 minutes
- Topic
- Solar power and mini-grids · extension, 3 of 4
Inside the module.
6 lessons in order, about 120 minutes in all, then a short test. Learners go at their own pace; the minutes are a guide, not a timetable.
Draft outline · in review
Lesson 1: Peak sun hours
Turn a day of changing sunlight into an equivalent number of hours of full sun.
Explain20 min, from minute 0
Lesson 2: Daily output of an array
Array watts × peak sun hours × a loss factor.
Worked example20 min, from minute 20
Lesson 3: Tilt and the sun's elevation
Tilt roughly equal to the latitude, facing the equator, but at least 10–15° so rain washes the dust off.
Explain20 min, from minute 40
Lesson 4: From budget to panels
Work back from an energy budget to the number of panels and the battery size.
Worked example25 min, from minute 60
Lesson 5: Check the Lantern's design
Test 16 × 550 W against an estimated classroom load, and list what the load study still needs to measure.
Project30 min, from minute 85
Lesson 6: Check your skills
Short sizing questions.
Review5 min, from minute 115
End-of-module test
Estimate an array's daily output from peak sun hours, choose a sensible tilt for a latitude, and size panels and batteries for a building.
Mastered at 85% or more. Retake it until you pass; nothing is lost, and each try gives feedback.
Already know it? A Challenge Test (planned) clears the whole module: 90% overall, no objective below 75%.
Last stageafter about 120 min
Practicalities
Draft outline · in reviewBuilt to run offline
Planned to run on the Lantern's own computer, with no internet needed.
Languages
Planned first in English; every module aims to reach all of the Lantern's languages.
Try a question.
One question from the module, as a learner would meet it. Have a go, then open the worked solution a step at a time.
Draft outline · in review
The Lantern's design shows 16 panels of 550 W. At a site with 5 peak sun hours, and allowing 25% for losses from heat, dust, wiring and the inverter, roughly how much energy does the array deliver in a day?
Work it out on paper first, then show the answer and mark it yourself.
Particulars
Where it sits
What a learner can do after it
- Estimate a panel array's daily output from peak sun hours.
- Choose a panel tilt using latitude and the sun's angle of elevation.
- Size panels and batteries for a building, and check the Lantern's own design.
Level
Level 11–12 · SSS 2 to SSS 3 (WASSCE)
Level mappings are approximate. A qualified teacher or lecturer in each country must check them before they appear in the app.
Difficulty for its level
3 of 4 · Extension
Time
About 120 minutes
Alignments
- Aligned to WASSCEintroduces · in reviewWASSCE Physics syllabus: energy and society, solar energy (descriptive ref)
Alignment in review until a qualified teacher or lecturer checks it. No exam body, university or vendor endorses us; learners still sit the real exam.
Challenge Test
Planned: a Challenge Test to prove you know it and skip it. Pass at 90% overall, with no objective below 75%.
University courses it previews
Electrical/Electronic Engineering, Renewable Energy Engineering
On these pathways
The route here.
Everything this module builds on, drawn as a route from its foundations. Solid lanes must be mastered first, or cleared by a Challenge Test; dashed lanes are suggestions that never lock anything.
- MA-ARI-OPS-01 Adding and subtracting, Level 1–3, Maths. Planned.
- MA-ARI-OPS-01Adding and subtractingMaths · Primary 1 to Primary 3 (Level 1–3) · Planned
- MA-ARI-OPS-02 Multiplication as equal groups, Level 2–3, Maths. Sample lesson in the demo.
- MA-ARI-OPS-02Multiplication as equal groupsMaths · Primary 2 to Primary 3 (Level 2–3) · Sample lesson in the demo Needs Adding and subtracting (required).Try the sample lesson: Multiplication as equal groups
- MA-ARI-OPS-03 Division as sharing and grouping, Level 3–4, Maths. Planned.
- MA-ARI-OPS-03Division as sharing and groupingMaths · Primary 3 to Primary 4 (Level 3–4) · Planned Needs Multiplication as equal groups (required).
- MA-ARI-OPS-04 Multiplying and dividing together, Level 3–4, Maths. Planned.
- MA-ARI-OPS-04Multiplying and dividing togetherMaths · Primary 3 to Primary 4 (Level 3–4) · Planned Needs Division as sharing and grouping (required).
- MA-ARI-ORD-01 Order of operations, Level 5–6, Maths. Planned.
- MA-ARI-ORD-01Order of operationsMaths · Primary 5 to Primary 6 (Level 5–6) · Planned Needs Multiplying and dividing together (required).
- MA-ALG-LIN-01 What an equation means, Level 5–6, Maths. Planned.
- MA-ALG-LIN-01What an equation meansMaths · Primary 5 to Primary 6 (Level 5–6) · Planned Needs Order of operations (required).
- MA-FDP-OPS-02 Adding and subtracting with different denominators, Level 5–6, Maths. Planned.
- MA-FDP-OPS-02Adding and subtracting with different denominatorsMaths · Primary 5 to Primary 6 (Level 5–6) · Planned · recommended
- MA-ALG-LIN-02 One-step equations, Level 6, Maths. Planned.
- MA-ALG-LIN-02One-step equationsMaths · Primary 6 (Level 6) · Planned Needs What an equation means (required).
- MA-ALG-EXP-01 Letters for numbers, Level 6–7, Maths. Planned.
- MA-ALG-EXP-01Letters for numbersMaths · Primary 6 to JSS 1 (Level 6–7) · Planned Needs Order of operations (required).
- MA-ALG-LIN-03 Two-step equations, Level 6–7, Maths. Sample lesson in the demo.
- MA-ALG-LIN-03Two-step equationsMaths · Primary 6 to JSS 1 (Level 6–7) · Sample lesson in the demo Needs One-step equations (required), Adding and subtracting with different denominators (recommended).Try the sample lesson: Two-step equations
- MA-NUM-POW-01 Squares, cubes and roots, Level 6–8, Maths. Planned.
- MA-NUM-POW-01Squares, cubes and rootsMaths · Primary 6 to JSS 2 (Level 6–8) · Planned
- SC-ENV-SOL-01 Energy from the sun: the Lantern, Level 6–9, Sciences. Planned.
- SC-ENV-SOL-01Energy from the sun: the LanternSciences · Primary 6 to JSS 3 (BECE) (Level 6–9) · Planned · recommended
- MA-ALG-FRM-01 Substituting into formulae, Level 7–8, Maths. Planned.
- MA-ALG-FRM-01Substituting into formulaeMaths · JSS 1 to JSS 2 (Level 7–8) · Planned Needs Letters for numbers (required).
- SC-PHY-ELC-01 Circuits and current, Level 7–8, Sciences. Planned.
- SC-PHY-ELC-01Circuits and currentSciences · JSS 1 to JSS 2 (Level 7–8) · Planned
- MA-ALG-LIN-04 Unknowns on both sides, Level 7–8, Maths. Planned.
- MA-ALG-LIN-04Unknowns on both sidesMaths · JSS 1 to JSS 2 (Level 7–8) · Planned Needs Two-step equations (required).
- MA-GEO-PYT-01 Pythagoras' theorem, Level 8–9, Maths. Planned.
- MA-GEO-PYT-01Pythagoras' theoremMaths · JSS 2 to JSS 3 (BECE) (Level 8–9) · Planned Needs Squares, cubes and roots (required).
- SC-PHY-ELC-02 Voltage, current and resistance, Level 8–9, Sciences. Planned.
- SC-PHY-ELC-02Voltage, current and resistanceSciences · JSS 2 to JSS 3 (BECE) (Level 8–9) · Planned Needs Circuits and current (required), Substituting into formulae (recommended).
- EG-ELE-SOL-01How a solar panel makes electricityEngineering · JSS 2 to JSS 3 (BECE) (Level 8–9) · Planned Needs Circuits and current (required), Energy from the sun: the Lantern (recommended).
- MA-TRG-RAT-01Sine, cosine and tangentMaths · JSS 3 (BECE) to SSS 1 (Level 9–10) · Planned Needs Pythagoras' theorem (required), Unknowns on both sides (required).
- SC-PHY-ELC-03Electrical power and energySciences · JSS 3 (BECE) to SSS 1 (Level 9–10) · Planned Needs Voltage, current and resistance (required), Substituting into formulae (recommended).
- EG-ELE-SOL-02Watts and watt-hours: an energy budgetEngineering · JSS 3 (BECE) to SSS 1 (Level 9–10) · Planned Needs How a solar panel makes electricity (required), Electrical power and energy (required), Substituting into formulae (recommended).
- MA-ALG-FRM-02Changing the subject of a formulaMaths · JSS 3 (BECE) to SSS 1 (Level 9–10) · Planned Needs Substituting into formulae (required), Unknowns on both sides (required).
- SC-PHY-ELC-04Series and parallel circuitsSciences · JSS 3 (BECE) to SSS 1 (Level 9–10) · Planned Needs Voltage, current and resistance (required).
- MA-TRG-RAT-02Finding anglesMaths · SSS 1 (Level 10) · Planned Needs Sine, cosine and tangent (required).
- EG-ELE-SOL-03Batteries: storing the sunEngineering · SSS 1 to SSS 2 (Level 10–11) · Planned Needs Watts and watt-hours: an energy budget (required), Series and parallel circuits (required), Changing the subject of a formula (required).
- MA-TRG-RAT-03Angles of elevation and depressionMaths · SSS 1 to SSS 2 (Level 10–11) · Planned Needs Finding angles (required).
- EG-ELE-SOL-04Sizing a solar systemEngineering · SSS 2 to SSS 3 (WASSCE) (Level 11–12) · Planned · the destination Needs Batteries: storing the sun (required), Angles of elevation and depression (required).
Help light the room where this is learned.
Every route on this map starts in a classroom with 24 stations, a tutor that works offline and a facilitator upstairs. Four are planned and waiting for light.