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Solar energy

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Welcome

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Welcome to the World of Solar Power!

Photovoltaic (PV) technology transforms sunlight into electricity—cleanly and renewably. In this workbook, you’ll discover how solar energy works and why it’s essential for a sustainable future.


Why Learn About Solar Energy?

With the challenges of climate change and limited fossil fuels, solar energy offers a clean, reliable alternative. By learning how PV systems work, you’re contributing to a greener tomorrow.


What You’ll Learn

  • How PV Technology Works: Discover how sunlight becomes electricity
  • Solar Panel Types: Understand the pros and cons of different technologies
  • Performance Factors: What influences how much energy panels produce
  • System Connections: Learn how solar connects to homes, schools, and industry
  • Hands-On Projects: Bring it to life through real experiments

How It Works

This workbook blends explanation with action. Through hands-on tasks and clear examples, you’ll engage with real solar technology and build understanding step-by-step.

Learning Objectives: Clear goals for each chapter to guide your journey.
Key Terms: Understand the essential vocabulary in solar energy.
Hands-On Activities: Learn by doing with interactive experiments.
Check Your Understanding: Practice with questions and small quizzes.
Project Ideas: Get inspired with fun, meaningful solar energy projects.

Get Ready to Shine!

By the end of this workbook, you’ll understand how solar energy works and why it matters. You’ll gain knowledge, skills, and the confidence to shape the future of clean energy.

Why is Photovoltaic (PV) Energy Important?

This part introduces you to Photovoltaic (PV) energy! “Photo” means light, and “Voltaic” refers to electricity. PV technology transforms sunlight into usable electricity. It’s more than science—it’s about powering our lives and protecting our planet.


Key Advantages of PV

  • Renewable Energy Source: As long as the sun shines, we can generate electricity—making it a sustainable alternative to fossil fuels.
  • Environmentally Friendly: PV systems produce no emissions and help reduce pollution.
  • Low Operating Costs: After installation, sunlight is free—and maintenance is minimal.
  • Energy Independence: Communities can generate their own power, increasing self-reliance and resilience.
  • Multiple Applications: From rooftops and farms to backpacks and boats, PV can power almost anything!

Why is PV Important in Ghana?

With abundant sunshine year-round, Ghana is perfectly positioned to harness solar energy. PV systems reduce dependence on fossil fuels, cut costs, and strengthen community-level energy security. Solar is expected to become a key pillar of Ghana’s renewable energy future.


What’s Next?

In the next chapters, you’ll discover how PV systems work, what affects their performance, and how to maintain them. With exciting hands-on activities, you’ll see solar power in action.

Let’s begin your journey into the world of PV!

Key Terms: Solar Energy

Below are some important definitions to help you better understand how photovoltaic systems work. These terms will appear throughout your learning journey.

Electrodes: Collect and conduct the generated electrons to create electric current.
Photovoltaics (PV): Technology that converts sunlight into electricity using solar cells through the photoelectric effect.
Photovoltaic System (PV System): A complete setup for generating electrical energy, typically including solar panels, inverters, and sometimes batteries.
PV Module: An array of multiple PV cells connected in series to boost the voltage to useful levels.
P and N Layers: Layers within the cell with positive (holes) P and negative (electrons) N charge carriers.
Pn-Junction: The interface between the P and N layers where light is converted to electricity.
Semiconductor Material: The main material responsible for converting light into electricity, usually silicon.
Solar Cell (PV Cell): The basic unit of a PV system that converts light into electrical energy.

What is needed for this?

Additional Materials for Experiments

  • Hair dryer: To heat up the PV panel.
  • Potentiometer: To change the resistance.
  • Connecting cables: With banana plugs, used in series/parallel experiments.
  • Light filters: To evaluate how different light colors affect PV output.
  • Multimeter: To measure voltage, current, and resistance in the system.

The kit also includes other materials for specific experiments.


PV Kit Overview

Inside the PV Kit box, you will find these components:

PV Kit components

How to Start Using the PV Panel Kit

Follow these steps to assemble the PV Panel Kit:

PV kit step 1
PV kit step 2


Multimeter

What is a Multimeter?

A multimeter measures electrical quantities like voltage, current, and resistance. Here’s how to use it and understand its key components:


Parts of a Multimeter

Multimeter overview


Steps to Use a Multimeter

  1. Turn it on: Use the dial to power the device.
  2. Select measurement:
    • Voltage (V): DC (–) or AC (~)
    • Current (A): Preferably mA
    • Resistance (Ω): Ω symbol
  3. Set range: Start with the highest expected range to avoid damage.
  4. Connect probes:
    • Black → COM
    • Red → VΩmA or 10A
  5. Take measurement:
    • Voltage → across two points
    • Current → inserted in circuit path
    • Resistance → across component
  6. Read the display: Mind the unit (V, A, mA, Ω)
  7. Turn off: Set dial to OFF

Safety First!

  • Never measure voltage while in current or resistance mode.
  • Always begin with the highest range setting.
  • Do not touch the metal probe tips.

“Hands off!” Always be cautious for accurate and safe measurement.

Now you’re ready to measure and explore safely. Enjoy discovering the power of electricity!

Chapter 1 – PV Basics

External Factors Influencing PV Systems

In this chapter, you’ll explore how external factors such as:

  • Light color (yellow/white)
  • Angle of incidence
  • Light intensity
  • Heat
  • Pollution
  • Shade
Learning Objective
By the end, you will be able to:
  • Understand how PV systems convert sunlight into electricity
  • Identify key factors that impact system performance
  • Assess environmental conditions and their effect on efficiency
  • Determine optimal placement and orientation for solar panels
  • Apply your knowledge to real-world PV system setups

1.1 Light Color

In this section, you will find out how different light colors (wavelengths) affect the performance of a photovoltaic (PV) cell.

Experiment

Materials needed:

  • Two lamps: LED and yellow light bulb
  • PV modules (small or big)
  • Multimeter
  • Holder for PV panels

Light color experiment

Please note the measurements in your Worksheet: Chapter 1.1

Exercise

Task 1:
Which light source is less effective? Think about why and discuss with your neighbors.

Task 2:
Which curve is white light? Which one is yellow light? What fits to 1 and 2 in the graph?

Write the answers in your Worksheet in Chapter 1.1

Graph analysis

Did you know?
PV cells convert light into electricity. However, not all light is equally efficient. PV cells perform best with light in the yellow to red range, as it has the optimal energy for conversion.

Task 3:
Do the following statements refer to white or yellow light?

Cross the right boxes in your Worksheet in Chapter 1.1

Statement 1:
This light contains all the colors. It has both high-energy and low-energy light.

– White Light

– Yellow Light

Statement 2:
This light, in the middle of the spectrum, has just the right energy and is absorbed efficiently by PV cells.

– White Light

– Yellow Light

Wavelength explanation

Write your response

Use evidence from your experiment or the workbook. Open responses are not automatically graded.

1.2 Angle of Incidence

This section explores how the angle (inclination) of a PV cell affects its power output.

Experiment

Materials needed:

  • One lamp (yellow light bulb)
  • PV modules (small or big)
  • Multimeter
  • Meter rule
  • Holder for PV panels

Angle of incidence experiment

Please note the measurements in your Worksheet: Chapter 1.2

Exercise

Task 1:
Based on your observations, which position leads to the highest current and voltage? What is the corresponding angle of incidence?

Note your thoughts in the empty box in the Worksheet: Chapter 1.2

Task 2:
What is the relationship between the angle of incidence and the current/voltage?

Note your thoughts in the empty box in the Worksheet: Chapter 1.2

Task 3:
Derive the formula for inclination-induced losses based on the cosine law:

Background:
The power output of a PV cell is proportional to the cosine of the angle (θ) between the incoming light and the surface normal.– At θ = 0°, cosine is 1 → full power.– As θ increases, cosine(θ) decreases → lower power.
Derive the formula in the Worksheet: Chapter 1.2

Task 4:
Assume the PV panel’s maximum power is Pmax = 100kWh. The angle of incidence is 30°. Calculate the effective power output Peff.

Show your calculation in the Worksheet: Chapter 1.2

Cosine law illustration

Write your response

Use evidence from your experiment or the workbook. Open responses are not automatically graded.

1.3 Light Intensity

In this section, you will explore how the intensity of light affects the performance of a photovoltaic (PV) module.

Experiment

Materials needed:

  • One lamp (yellow light bulb)
  • PV modules (small or big)
  • Multimeter
  • Meter rule
  • Holder for PV panels

 

Please note the measurements in your Worksheet: Chapter 1.3

Exercise

Task 1:
What is the relationship between the distance of the lamp from the PV module and the generated current/voltage?

Answer in the Worksheet: Chapter 1.3

Task 2:
Discuss your answer with other groups and your teacher.

Task 3:
Fill in the blanks:

Complete in the Worksheet: Chapter 1.3
The ___________ (greater/lower) the light intensity, i.e. the ______________ (greater/lower) the distance of the light source from the PV module, the lower the ____________________ and the ____________________. However, the influence on the short-circuit current (I) is significantly ____________ (greater/lower) than the influence on the open-circuit voltage (U). The light intensity therefore has a considerable influence on the functioning of the _____________________.

Light intensity graph

Write your response

Use evidence from your experiment or the workbook. Open responses are not automatically graded.

1.4 Impact of Heat on PV Module Performance

In this section, you will investigate how heating influences the performance of PV modules.

Experiment

Materials needed:

  • One lamp (yellow light bulb)
  • PV modules (small or big)
  • Multimeter
  • Meter rule
  • Holder for PV panels

Heat experiment setup

Please note the measurements in your Worksheet: Chapter 1.4

Exercise

Note your answers in the Worksheet: Chapter 1.4

Task 1:
How does the performance of the PV module change when it is heated?
Discuss with your partner: What would be the best location in the world for installing PV systems?

Did you know?
PV cells use the photoelectric effect to convert light energy into electricity. This effect is the key to transforming sunlight into usable electrical energy.

Task 2:
What is the photoelectric effect? Fill in the missing terms in your worksheet using: Photon, Electron, Metal.

Photoelectric effect diagram

Task 3:
Match the following terms with their descriptions.

Match terms

Task 4:
The statements below describe the PV power generation process. Number them in the correct order (1–5).

PV process order
Pollution experiment setup

Write your response

Use evidence from your experiment or the workbook. Open responses are not automatically graded.

1.5 Impact of Pollution on PV Module Performance

In this section, you will explore how pollution affects the output of PV panels. Dirt, dust, or smog can block sunlight and reduce energy production.

Experiment

Materials needed:

  • One lamp (yellow light bulb)
  • PV modules (small or big)
  • Multimeter
  • Meter rule
  • Holder for PV panels

Pollution experiment setup

Please note the measurements in your Worksheet: Chapter 1.5

Exercise

Task 1:
How did the voltage and the current change? What effect did cleaning have on the panel’s performance?

Please record your experiences in your Worksheet: Chapter 1.5

Task 2:
What can be some strategies to keep PV panels functioning optimally?

Write down your ideas in your Worksheet: Chapter 1.5

Pollution impact visual

Write your response

Use evidence from your experiment or the workbook. Open responses are not automatically graded.

1.6 Impact of Shadows on PV Module Performance

Shadows from trees, buildings, or clouds can significantly affect the power output of PV panels. This section explores just how impactful that can be.

Experiment

Materials needed:

  • One lamp (yellow light bulb)
  • PV modules (small or big)
  • Multimeter
  • Holder for PV panels
Please note the measurements in your Worksheet: Chapter 1.6

Exercise

Task 1:
How did the voltage and the current change? What effect did shadows have on the performance?

Write your answer in your Worksheet: Chapter 1.6
Did you know?
Shadows reduce the sunlight reaching PV cells, which lowers energy output significantly—even if only part of the panel is shaded.
Good to Know:
To prevent the negative effects of shading, bypass diodes are used. A bypass diode is an essential component in solar modules. It acts as a protective mechanism by diverting the current flow around solar cells or module sections with lower performance. This enables a better power yield from the remaining cells and increases the reliability and efficiency of the entire solar module. Thanks to the bypass diodes, solar modules can achieve high performance even when they are in the shade or shadow.

Bypass diode visual

Task 2:
What strategies could help avoid or reduce shading on PV panels?

Note your strategies in the Worksheet: Chapter 1.6

Shading strategies visual

Write your response

Use evidence from your experiment or the workbook. Open responses are not automatically graded.

Your measurement log

Record each setup, the measured value and its unit. Use the notes to explain what you observed.

Check your understanding

What affects a PV module?

Select the correct answers, check your answer and read the feedback. You can try again.

Open exercise in a separate tab

Check your understanding

From sunlight to electricity

Complete the missing words or numbers, check your answers and try again.

Open exercise in a separate tab

Chapter 2 – Connecting PV to a Load and MPP

In this chapter, you will learn about:

  • PV panels in Series
  • PV panels in Parallel
  • Fixed load (Resistor)
  • Changing load
  • Local conditions and load changes

Learning Objective

  • Understand how connecting PV panels in series or parallel influences voltage and current.
  • Evaluate how different configurations affect overall system voltage, current, and power output.
  • Manage the impact of both fixed and variable loads on PV system performance.
  • Apply Maximum Power Point (MPP) tracking to optimize the energy output from PV panels.
  • Adapt to local environmental conditions to maximize the efficiency of your PV system.

2.1 PV Panels in Series

In this section, you will understand the effect of connecting two PV cells in a series.

Experiment

Materials needed:

  • One lamp (yellow light bulb)
  • PV modules (small)
  • Multimeter
  • Various cables
  • Holder for PV panels

PV series experiment setup

Please note the measurements in your Worksheet: Chapter 2.1

Series wiring diagram
Series voltage current measurement

Exercise

Task 1:
Discuss with others in the room (maybe stand up and talk to different people in the class). What are the PROS and CONS of series connection?

Series pros and cons visual

Write your response

Use evidence from your experiment or the workbook. Open responses are not automatically graded.

2.2 PV Panels in Parallel

In this section, you will understand the effect of connecting two PV cells in parallel.

Experiment

Materials needed:

  • One lamp (yellow light bulb)
  • PV modules (small)
  • Multimeter
  • Various cables
  • Holder for PV panels

PV parallel experiment setup

Please note the measurements in your Worksheet: Chapter 2.2

Parallel wiring diagram
Current measurement for parallel

Exercise

When we say, “PVs are current sources”, we mean that PV systems primarily produce a steady flow of current, depending on the available sunlight. Unlike a battery with a fixed voltage, a PV system adjusts its output based on sunlight intensity.

Note the following answers in your Worksheet in Chapter 2.2

Task 1:
What happens with the current on a sunny day?
What happens with the current on a cloudy day?

Why does this matter?
Knowing that PVs are current sources helps us design better solar systems. When connecting multiple solar panels, we choose between series or parallel based on whether we need more current or more voltage.

Task 2:
What are the PROS and CONS of parallel connection?

Write down your thoughts in the Worksheet: Chapter 2.2

Parallel setup visual

Write your response

Use evidence from your experiment or the workbook. Open responses are not automatically graded.

2.3 Fixed Load (Resistor)

In this section, you will understand how a resistor works when connected to a PV module.

Experiment

Materials needed:

  • One lamp (yellow light bulb)
  • PV modules (small or big)
  • Multimeter
  • Various cables
  • Holder for PV panels
  • Resistance (Potentiometer)

Resistor experiment setup

Please note the measurements in your Worksheet: Chapter 2.3

Exercise

Task 1:
How did the voltage and current change when the resistor was connected?
Please draw a graph with the voltage (V) on the X-axis and the current (A) on the Y-axis.
Insert your measured values as points on the graph.
Example: Resistor P → (Voltage / Current)

Please draw the graph in your Worksheet: Chapter 2.3

Voltage-Current plot

Write your response

Use evidence from your experiment or the workbook. Open responses are not automatically graded.

2.4 Changing Load

This section explores how changing the resistance affects the PV system’s performance and the operating point on the V-I curve.

Experiment

Materials needed:

  • One lamp (yellow light bulb)
  • PV modules (small or big)
  • Multimeter
  • Various cables
  • Holder for PV panels
  • Resistance (Potentiometer)

Please note the measurements in your Worksheet: Chapter 2.4

Plot the new points Pnew (U | I) in the graph you drew in the previous exercise!

How does changing the resistance affect the operating point?

High Resistance (Open Circuit):
– Very low current
– Operating point at open-circuit voltage (Voc)

Low Resistance (Short Circuit):
– Very low voltage
– Operating point at short-circuit current (Isc)

Resistance curve explanation

Intermediate Resistance:
– Voltage and current depend on resistance
– Higher resistance → higher voltage, lower current
– Lower resistance → lower voltage, higher current

Resistance curve explanation

Exercise

Task 1:
Plot the different points you measured into a graph.
Connect the dots to form a curve. Can you find a Maximum?

Please plot the graph in your Worksheet: Chapter 2.4

Plotting V-I curve

Write your response

Use evidence from your experiment or the workbook. Open responses are not automatically graded.

2.5 Local Conditions and Load Changes

This section explores how different environmental conditions (e.g., light, temperature) influence the operating point of a PV system when the load is varied.

Experiment

Materials needed:

  • One lamp (yellow light bulb)
  • PV modules (small or big)
  • Multimeter
  • Various cables
  • Holder for PV panels
  • Resistance (Potentiometer)

Local conditions experiment

Please note the measurements in your Worksheet: Chapter 2.5

Exercise

Task 1:
Replot your curve from section 2.4 and add the new curve from this experiment.

Draw the curves in your Worksheet: Chapter 2.5

Task 2:
What changed compared to before? What happened to the maximum? Please discuss with your seat neighbor.

Write your response

Use evidence from your experiment or the workbook. Open responses are not automatically graded.

Your measurement log

Record each setup, the measured value and its unit. Use the notes to explain what you observed.

Check your understanding

Series or parallel?

Select the correct answers, check your answer and read the feedback. You can try again.

Open exercise in a separate tab

Check your understanding

Match the electrical quantities

Match the terms to the gaps, then check your answers. Keyboard controls are available in the exercise.

Open exercise in a separate tab

Chapter 3 – Connecting PV to a Load and MPP

3.1 MPPT – Maximum Power Point Tracking

Nice to Know
Imagine you have a toy car with a PV cell on the roof that is powered only by sunlight.Solar car top view
You know that it gets its energy from the sun through small solar cells on its roof. For the car to go as fast as possible, it needs to get just the right amount of energy from the sun all the time. But the amount of sunlight hitting the solar cells changes all the time – sometimes it’s very sunny, sometimes it’s cloudy, and sometimes the sun is in a different position in the sky.

Changing sun position
MPPT, or Maximum Power Point Tracking, is like a very smart friend who makes sure your solar car always gets the best possible amount of energy, no matter how the sun is shining.

MPPT friend
This smart friend constantly watches and adjusts things to make sure the car always gets the maximum power it can use.

Repetition:
As we have learned before, there are changing Sunlight Conditions: The amount of sunlight hitting the solar cells keeps changing. When it’s sunny, the solar cells produce more energy, and when it’s cloudy, they produce less. The temperature also affects how well the solar cells work – they perform differently when it’s hot compared to when it’s cool.

Here’s how MPP works

  1. Optimal Energy Use: Solar cells have a specific point where they produce the most energy. This point is called the Maximum Power Point (MPP).
  2. MPPT Controller: A device that adjusts the load to always operate at MPP despite changing conditions.
  3. Practical Benefit: Ensures devices like solar-powered cars always get maximum energy for best performance.

Automatic MPP is needed!

Experiment

Connect the PV to the MPPT controller.

Exercise

Task: What might be happening inside this MPPT controller? Please discuss this with your seat neighbor.

Note your thoughts into your Worksheet in Chapter 3.1

MPPT internals

Write your response

Use evidence from your experiment or the workbook. Open responses are not automatically graded.

3.2 Controlling the MPPT

Experiment

Try to control the MPPT controller manually, as the load is changed.

Exercise

Please put the answers for the following tasks in your Worksheet in Chapter 3.2
  • Task 1: What do you notice? How can the MPP direction be estimated? Discuss with your seat neighbor.
  • Task 2: How can the MPP be tracked automatically? Switch the MPPT to automatic mode and observe.
  • Task 3: What can you observe?
  • Task 4: Switch the controller to pure PWM mode. Do you notice anything?

Manual vs Auto MPPT

Write your response

Use evidence from your experiment or the workbook. Open responses are not automatically graded.

3.3 PWM vs. MPPT

Exercise

Task: Which is better in your opinion: PWM or MPPT? Please consider both the benefits of each application and the costs.

Please put your thoughts on Benefits and Costs into your Worksheet in Chapter 3.3

PWM vs MPPT comparison

Write your response

Use evidence from your experiment or the workbook. Open responses are not automatically graded.

Your measurement log

Record each setup, the measured value and its unit. Use the notes to explain what you observed.

Check your understanding

Maximum power point tracking

Select the correct answers, check your answer and read the feedback. You can try again.

Open exercise in a separate tab

Check your understanding

Complete the MPPT explanation

Complete the missing words or numbers, check your answers and try again.

Open exercise in a separate tab

Chapter 4 – Application: Analyzing Energy Consumption Profiles of Household Appliances

In this exercise, you will learn about:

  • Visualizing energy consumption profiles of household appliances
  • Data analysis using Pivot Tables
  • Analyzing different usage modes for specific appliances
  • Calculating energy consumption and associated costs
  • Evaluating photovoltaic (PV) system options for residential use

Learning Objective

  • Develop and interpret energy consumption profiles for various household appliances.
  • Conduct data analysis utilizing Pivot Tables to generate visual representations of energy consumption.
  • Identify and associate energy consumption patterns with specific household appliances.
  • Examine different usage modes and compute the total energy consumption of appliances.
  • Analyze the influence of various PV system capacities on energy production and economic savings.

Materials you will need for this task:

  • Excel file named “Exercise_Appliances”
  • Computer with Excel software (Excel)
You can write down your notes, calculations, and answers for the following activities (Task 1–4) in Chapter 4 of your worksheet. All the input tables you need are already there.

Task 1: Visualizing Energy Consumption Profiles of Household Appliances

Write your response

Use evidence from your experiment or the workbook. Open responses are not automatically graded.

Initial Descriptions:

In this part you are given brief descriptions of the energy consumption profiles of four different household appliances. In the next section, you will be asked to create charts using Excel that visualize the actual energy consumption profiles of these devices. Then you will match the descriptions with the corresponding visuals. Here are the basic descriptions:

Washing Machine (WM):

  • Multiple Peaks over the duration of operation
  • High peaks during washing/heating cycles
  • Relatively lower peaks for spinning cycles towards the end

Dishwasher (DW):

  • Multiple Peaks over the duration of operation
  • Peak level values of the spikes are generally close to each other

Kettle (K):

  • Rapid and high spike in power usage
  • Consistent power level during operation

Hair Dryer (HD):

  • Rapid and high spike in power usage
  • Depending on the operation mode it can have different peak values (The peak is lower than Kettle for the example)
  • Consistent power level during operation

Data Analysis and Visualization:

  • Open the Excel file named Exercise_Appliances and navigate to the sheet named Task 1. Here you will find the combined datasets for the energy consumption profiles of 4 household appliances mentioned above.
  • They are labeled as HA1 (HouseholdAppliance1), HA2, HA3, and HA4 in a random order.
  • Your task is to perform a Pivot Table Analysis to generate charts for each appliance.
  • After creating the PivotTable charts, discuss and match the labels with the correct appliance names. Fill your answers in the boxes below.

Household appliance chart

Household Appliance 1
(HA1)
Household Appliance 2
(HA2)
Household Appliance 3
(HA3)
Household Appliance 4
(HA4)

Task 2: Analyzing Different Usage Modes for the Kettle

Write your response

Use evidence from your experiment or the workbook. Open responses are not automatically graded.

Initial Descriptions:

For Task 2 and Task 3, we will focus on a single appliance — the Kettle. Now navigate to the sheet named “Task 2” in the Excel file (Exercise_Appliances).


Data Analysis and Visualization:

  • Open the sheet named Task 2. You will find datasets for different usage modes of the Kettle.
  • Six different usage modes are labeled ModeA to ModeF, representing amounts of water from 2 to 7 cups, in random order.
    Note: 1 cup = 250 ml of water.
  • Create two Pivot Tables:
    • One for visualizing the energy consumption profiles of each mode
    • Another for calculating the total energy consumption of each mode

Energy Consumption Profiles:

Please identify how many cups of water were used for each mode (from 2 to 7 cups).

Kettle mode chart

Mode A Mode B Mode C Mode D Mode E Mode F

Total Energy Consumption:

Please fill in the total energy (in kWh) consumed by each mode (rounded to three decimal places).

Kettle total energy

2 Cups 3 Cups 4 Cups 5 Cups 6 Cups 7 Cups

Task 3: Practical Examples – Kettle

For the following exercises we will use the same Kettle and its data.

Write your response

Use evidence from your experiment or the workbook. Open responses are not automatically graded.

Assumption:

Three user groups in different households use the same kettle. Their usage habits differ as follows:

  • Household 1: Adds exactly 2 cups of excess water per use (if possible).
  • Household 2: Adds exactly 1 cup of excess water per use (if possible).
  • Household 3: Adds exactly the desired amount of water (no excess).

Scenario 1

Each household uses the kettle 10 times a day. Actual needed amounts per day:

  • 2 times: 3 cups
  • 5 times: 4 cups
  • 3 times: 5 cups

Exercise 1.1: Monthly Energy Consumption

Calculate the monthly total energy consumption (in kWh) of each household:

Household 1 (monthly) Household 2 (monthly) Household 3 (monthly)

Exercise 1.2: Monthly Electric Bill

Using the electricity pricing info, calculate the electric bill for each household (in GHp):

  • 0–30 kWh → 63.4792 GHp/kWh
  • 31–300 kWh → 140.5722 GHp/kWh
  • > 301 kWh → 185.7432 GHp/kWh

Assume base household consumption (excluding kettle) = 260 kWh/month

Household 1 (Electric Bill) Household 2 (Electric Bill) Household 3 (Electric Bill)

Scenario 2

Daily kettle usage per household:

  • Household 1: 9 times
  • Household 2: 10 times
  • Household 3: 12 times

Needed amounts:

  • 5 times: 5 Cups
  • Remaining times: 4 Cups

Exercise 2.1: Monthly Energy Consumption

Calculate the monthly energy consumption of each household:

Household 1 (monthly) Household 2 (monthly) Household 3 (monthly)

Exercise 2.2: Monthly Electric Bill

Calculate the electric bill (GHp) for each household:

Household 1 (Electric Bill) Household 2 (Electric Bill) Household 3 (Electric Bill)

Task 4: Practical Examples – Hair Dryer

Your task is to use Pivot Table Analysis to generate charts for a hair dryer’s different operation modes and total energy consumption. This is the same hair dryer from Task 1.

Write your response

Use evidence from your experiment or the workbook. Open responses are not automatically graded.

1. Energy Consumption Profiles

Use the chart below to assign labels to each mode. The hair dryer has:

  • 3 different heat settings: High, Medium, Low
  • 2 different fan speed settings: High, Low

This makes 6 possible configurations. All modes run for ~120 seconds, so duration isn’t a key factor in total energy use.

Hair Dryer Modes Chart

Mode A Mode B Mode C Mode D Mode E Mode F

2. Total Energy Consumption

Please enter the energy consumed (rounded to 3 decimal places) for each configuration:

Total Energy Consumption Table

High Heat
High Speed
High Heat
Low Speed
Medium Heat
High Speed
Medium Heat
Low Speed
Low Heat
High Speed
Low Heat
Low Speed

3. Daily Use Scenarios

Two households use the hair dryer 3 times daily with different usage habits:

Household 1:

  • 4 min – High Heat, High Speed
  • 2 min – High Heat, Low Speed
  • 2 min – Medium Heat, Low Speed

Household 2:

  • 2 min – Medium Heat, High Speed
  • 6 min – Medium Heat, Low Speed

Task 5: Evaluating the PV System Options for Residential Use

Write your response

Use evidence from your experiment or the workbook. Open responses are not automatically graded.

Background Information

1. PV System Capacity

A 10 kW PV system can provide up to 10 kW of power under optimal conditions (ideal sunlight, angle, temperature). If your devices need more power than the system can provide, this can lead to underperformance or shutdowns.

2. Energy Production Estimates

Assuming 4–6 hours of peak sunlight per day:

  • 10 kW × 4 hours = 40 kWh/day (lower estimate)
  • 10 kW × 6 hours = 60 kWh/day (higher estimate)

3. Managing Power Consumption

  • Battery Storage: Stores excess energy for later use.
  • Grid Connection: Covers demand when solar energy isn’t enough.

Demand Side Management Strategies:

  • Stagger high-power appliance usage
  • Use energy-efficient appliances
  • Implement smart home tech for better control and distribution

1. Comparison of Two Households with/without Demand Side Management (DSM)

Create charts with the provided dataset (12:00–14:00) and compare:

Household with DSM

Household with DSM

Household without DSM

Household without DSM

Fill in the peak consumption values and discuss possible implications of these peaks.

2. PV System Options (Ideal Conditions)

  • System A: 3 kW – $4,000
  • System B: 5 kW – $6,000
  • System C: 10 kW – $10,000

Assume the non-DSM household peaks at 9999 W and consumes ~400 kWh monthly.

Exchange rate: 1 USD = 15.36 GH₵ = 1536 GHp

2.1 Energy Production and Cost Savings

Accra average sunlight: 6h 30min daily (~2377 hours/year)

  • Lower estimate: 4h 30min/day
  • Higher estimate: 8h/day

Use these to calculate monthly energy production and cost savings using Ghana’s electricity prices from Task 3.

2.2 Investment Cost and Payback Period

Calculate how long it would take each system to pay for itself based on monthly savings.

Then recommend the best option for each household based on their usage profile.

3. PV System Options (Real-Life Conditions)

Assume 75% efficiency due to real-world factors. Recalculate energy production and cost savings as above.

3.1 Energy Production and Cost Savings
  • Use 75% of ideal daily output
  • Repeat monthly calculations
3.2 Investment Cost and Payback Period

Repeat payback calculations under realistic efficiency. Decide which system is most suitable for each household.

Your measurement log

Record each setup, the measured value and its unit. Use the notes to explain what you observed.

Try the calculation

Power, time and energy

Use your own appliance measurements. Energy = power × time. A month here means 30 days.

Enter your values, then choose Calculate.

Try the calculation

Estimate daily PV energy

Use the simplified assumptions from the workbook. Daily energy = rated power × peak-sun hours × output factor; this is an estimate, not a measured production forecast.

Enter your values, then choose Calculate.

Check your understanding

Calculate the workbook’s PV estimates

Complete the missing words or numbers, check your answers and try again.

Open exercise in a separate tab