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IEE Template

for Google Slides Presentations

14.05.2025

First Name Last Name

Institute of Electricity Economics and Energy Innovation/TU Graz (Change in Slide -> Edit Design)

www.tugraz.at

First Name Last Name, Institute of Electricity Economics and Energy Innovation/TU Graz (Change in Slide > Edit Design)

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Agenda

2

I

II

III

IV

V

VII

IX

Understand the Template for a Consistent Layout

Leverage Boxes to Organize Content

Use the Typeface to Enhance Readability

Learn to use Animations for Engagement and Focus

Visualize your Numbers with Plots

Additional Tips to Improve your Design

Explore Design Inspirations to Spark your Creativity

Source: Photo by Estée Janssens on Unsplash

VIII

Acknowledge Work with Proper Citations

VI

Structure your Data with Clear Tables

www.tugraz.at

First Name Last Name, Institute of Electricity Economics and Energy Innovation/TU Graz (Change in Slide > Edit Design)

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Template

Footnote and Language

  • To change text/name in Footnote and Date on Title Slide:
    • Go to menu Slide (Folie) > Edit Design (Design bearbeiten)
    • Change the Date and Name/Institue on Title Slide
    • Also change Name/Institute in Footer of Master Slide (Top-most slide)

​

  • Footnote Text
    • The default footnote text displays the institute's name
    • Adapt the footnote text e.g. to lecture title, presentation topic, or other context-specific information, if you want

​

  • Language
    • Ensure that the language used throughout the presentation remains consistent
    • For presentations in German, use the Title Slide DE template. For English presentations, use the Title Slide EN template
    • The footnote text must match the language of the presentation

3

Source: Institut für Elektrizitätswirtschaft und Energieinnovation/TU Graz

Tip

To add a picture with a smooth transition to white like this one:

  1. Place a box on top of the picture.
  2. Select gradient filling for the box.
  3. Set the gradient direction to left to right.
  4. Choose solid white for the left side.
  5. For the right side, use white with 100% transparency to blend seamlessly into the picture.

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Agenda

4

I

II

III

IV

V

VII

IX

Understand the Template for a Consistent Layout

Leverage Boxes to Organize Content

Use the Typeface to Enhance Readability

Learn to use Animations for Engagement and Focus

Visualize your Numbers with Plots

Additional Tips to Improve your Design

Explore Design Inspirations to Spark your Creativity

VIII

Acknowledge Work with Proper Citations

VI

Structure your Data with Clear Tables

Source: Photo by Estée Janssens on Unsplash

www.tugraz.at

First Name Last Name, Institute of Electricity Economics and Energy Innovation/TU Graz (Change in Slide > Edit Design)

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Boxes

Organize your Content

  • Instead of using lists or enumerations, consider organizing your content into distinct groups for better structure

​

  • Boxes are an excellent tool to enhance visual clarity and emphasize group distinctions

​

  • Designing Boxes
    • Title Bar: Use one of the primary colors from the default colorpicker
    • Background: Select the lightest shade color for a clean and subtle backdrop
    • Frame: Outline the box with the darkest shade, using a defaultstroke width of 1pt

​

  • Additional Tips
    • Maintain even spacing between multiple boxes for a polishedlayout
    • Use short, concise text inside the box to maximize clarity
    • Consider icons in the title bar to enhance visual appeal

5

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Boxes

Organize your Content

  • Instead of using lists or enumerations, consider organizing your content into distinct groups for better structure

​

  • Boxes are an excellent tool to enhance visual clarity and emphasize group distinctions

​

  • Designing Boxes
    • Title Bar: Use one of the primary colors from the default colorpicker
    • Background: Select the lightest shade color for a clean and subtle backdrop
    • Frame: Outline the box with the darkest shade, using a defaultstroke width of 1pt

​

  • Additional Tips
    • Maintain even spacing between multiple boxes for a polishedlayout
    • Use short, concise text inside the box to maximize clarity
    • Consider icons in the title bar to enhance visual appeal

6

Let’s think inside the Box!

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Boxes

Organize your Content

7

  • Instead of using lists or enumerations, consider organizing your content into distinct groups for better structure
  • Boxes are an excellent tool to enhance visual clarity and emphasize group distinctions

Designing Boxes

  • Title Bar: Use one of the primary colors from the default colorpicker
  • Background: Select the lighter shade color for a clean and subtle backdrop
  • Frame: Outline the box with the darkest shade, using a default stroke width of 1pt

Designing Boxes

  • Maintain even spacing between multiple boxes for a polished layout
  • Use short, concise text inside the box to maximize clarity
  • Consider icons in the title bar to enhance visual appeal

www.tugraz.at

First Name Last Name, Institute of Electricity Economics and Energy Innovation/TU Graz (Change in Slide > Edit Design)

8 of 37

Agenda

8

I

II

III

IV

V

VII

IX

Understand the Template for a Consistent Layout

Leverage Boxes to Organize Content

Use the Typeface to Enhance Readability

Learn to use Animations for Engagement and Focus

Visualize your Numbers with Plots

Additional Tips to Improve your Design

Explore Design Inspirations to Spark your Creativity

VIII

Acknowledge Work with Proper Citations

VI

Structure your Data with Clear Tables

Source: Photo by Estée Janssens on Unsplash

www.tugraz.at

First Name Last Name, Institute of Electricity Economics and Energy Innovation/TU Graz (Change in Slide > Edit Design)

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Typeface

Font and Styling

9

Font

  • The default font is Arial (or Aptos if you use PowerPoint)
  • Titles should use Arial Bold
  • Ensure all copied and pasted text is formatted in the Arial font
  • Use bold text to emphasize key points
  • For a subtler emphasis, you can use italics
  • Avoid using underlines for emphasis, as underlined text is commonly interpreted as a hyperlink and may lead to confusion

Highlighting

  • Not applicable in Google Slides: The Arial font family provides diverse styles, including Narrow, Regular, Bold, and Black, allowing for variety and emphasis in your text
  • Not applicable in Google Slides: Experiment with character spacing options. The wide spacing works particularly well for box headers

Styles

Colors

  • Make the most of the default colors available in the color picker
  • To draw attention, use yellow for moderate emphasis and red for strong emphasis

Primary Colors

Shades

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Typeface

Font and Styling

10

Font

  • The default font is Arial (or Aptos if you use PowerPoint)
  • Titles should use Arial Bold
  • Ensure all copied and pasted text is formatted in the Arial font
  • Use bold text to emphasize key points
  • For a subtler emphasis, you can use italics
  • Avoid using underlines for emphasis, as underlined text is commonly interpreted as a hyperlink and may lead to confusion

Highlighting

  • Not applicable in Google Slides: The Arial font family provides diverse styles, including Narrow, Regular, Bold, and Black, allowing for variety and emphasis in your text
  • Not applicable in Google Slides: Experiment with character spacing options. The wide spacing works particularly well for box headers

Styles

Colors

  • Make the most of the default colors available in the color picker
  • To draw attention, use yellow for moderate emphasis and red for strong emphasis

Primary Colors

Shades

www.tugraz.at

First Name Last Name, Institute of Electricity Economics and Energy Innovation/TU Graz (Change in Slide > Edit Design)

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Agenda

11

I

II

III

IV

V

VII

IX

Understand the Template for a Consistent Layout

Leverage Boxes to Organize Content

Use the Typeface to Enhance Readability

Learn to use Animations for Engagement and Focus

Visualize your Numbers with Plots

Additional Tips to Improve your Design

Explore Design Inspirations to Spark your Creativity

VIII

Acknowledge Work with Proper Citations

VI

Structure your Data with Clear Tables

Source: Photo by Estée Janssens on Unsplash

www.tugraz.at

First Name Last Name, Institute of Electricity Economics and Energy Innovation/TU Graz (Change in Slide > Edit Design)

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Animations

Bringing Your Content to Life with Motion

12

  • Enhance your presentation with subtle animations
  • The preferred animation style is Fade in (slow) (Langsam einblenden), as it ensures a smooth transition while maintaining focus on the key elements.
  • Apply the Fly-in from left (Von links Einblenden) effect to ornaments in boxes for a dynamic entry
  • Use the Fad in (slow) (Langsam einblenden) effect for the box animation to complement the ornament's movement
  • Start the animation with the ornament's Fly-in animation and fade in the box after the ornament’s animation
  • Not applicable in Google Slides: The Morph effect creates smooth �transitions and is perfect for moving objects seamlessly between slides
  • For example, position the object just outside the previous slide, then �apply the Morph effect under the Transition (Übergang) menu

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First Name Last Name, Institute of Electricity Economics and Energy Innovation/TU Graz (Change in Slide > Edit Design)

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Agenda

13

I

II

III

IV

V

VII

IX

Understand the Template for a Consistent Layout

Leverage Boxes to Organize Content

Use the Typeface to Enhance Readability

Learn to use Animations for Engagement and Focus

Visualize your Numbers with Plots

Additional Tips to Improve your Design

Explore Design Inspirations to Spark your Creativity

VIII

Acknowledge Work with Proper Citations

VI

Structure your Data with Clear Tables

Source: Photo by Estée Janssens on Unsplash

www.tugraz.at

First Name Last Name, Institute of Electricity Economics and Energy Innovation/TU Graz (Change in Slide > Edit Design)

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Plots

Visualize your Numbers

14

Add black x- and y-axes, each with an arrow at the end or black box

Include axis labels with descriptions and units and thousand separator

Add a black border around the sections of the bar chart

Include a legend to explain the chart's data categories

Optional Improvements

  • Add grey grid lines to the background
  • Include caption in italics at the bottom, complete with figure numbering

Figure 1: Installed capacity per power plant type in Wakanda from 2022 to 2025

Source: Energy Report, Statistics Wakanda, 2023

[ ]

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Plots

Visualize your Numbers

15

Figure 1: Installed capacity per power plant type in Wakanda from 2022 to 2025

Alternative with black box instead of arrows

Source: Energy Report, Statistics Wakanda, 2023

Add black x- and y-axes, each with an arrow at the end or black box

Include axis labels with descriptions and units and thousand separator

Add a black border around the sections of the bar chart

Include a legend to explain the chart's data categories

Optional Improvements

  • Add grey grid lines to the background
  • Include caption in italics at the bottom, complete with figure numbering

[ ]

www.tugraz.at

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Plots

Visualize your Numbers

16

Figure 2: Demand per representative periode in Wakanda

Source: Energy Report, Statistics Wakanda, 2023

Add black x- and y-axes, each with an arrow at the end or black box

Include axis labels with descriptions and units and thousand separator

Add a black border around the sections of the bar chart

Include a legend to explain the chart's data categories

Optional Improvements

  • Add grey grid lines to the background
  • Include caption in italics at the bottom, complete with figure numbering

[ ]

www.tugraz.at

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Plots

Visualize your Numbers

17

Figure 2: Demand per representative periode in Wakanda

Alternative with black box instead of arrows

Source: Energy Report, Statistics Wakanda, 2023

Add black x- and y-axes, each with an arrow at the end or black box

Include axis labels with descriptions and units and thousand separator

Add a black border around the sections of the bar chart

Include a legend to explain the chart's data categories

Optional Improvements

  • Add grey grid lines to the background
  • Include caption in italics at the bottom, complete with figure numbering

[ ]

www.tugraz.at

First Name Last Name, Institute of Electricity Economics and Energy Innovation/TU Graz (Change in Slide > Edit Design)

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Plots

Visualize your Numbers

18

Figure 3: Shares of installed capacity per power plant type in Wakanda 2022

Source: Energy Report, Statistics Wakanda, 2023

Add black x- and y-axes, each with an arrow at the end or black box

Include axis labels with descriptions and units and thousand separator

Add a black border around the sections of the bar chart

Include a legend to explain the chart's data categories

Optional Improvements

  • Add grey grid lines to the background
  • Include caption in italics at the bottom, complete with figure numbering

[ ]

www.tugraz.at

First Name Last Name, Institute of Electricity Economics and Energy Innovation/TU Graz (Change in Slide > Edit Design)

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Plots

Colors for Power Plants

19

Power Plant Type

German Name

R

G

B

Hex

Color

Oil

Öl

16

47

64

102F40

​

Coal

Kohle

127

127

127

7F7F7F

​

Gas

Gas

191

191

191

BFBFBF

​

Other non-RES

Sonstige nicht-EE

221

110

56

DD6E38

​

Nuclear

Nuklear

236

110

95

EC605F

​

Biomass

Biomasse

198

70

59

C6463B

​

Run-of-River

Laufwasserkraft

0

176

240

00B0F0

​

Solar/PV

Solar/PV

255

192

0

FFC000

​

Wind-onshore

Wind-onshore

146

208

80

92D050

​

Wind-offshore

Wind-offshore

30

143

79

1E8F4F

​

Other RES

Sonstige EE

185

207

198

B9CFDE

​

Storage Hydro

Wasserspeicher

75

172

198

4BACC6

​

Pumped Storage Hydro

Pumpspeicher

59

90

112

3B5A70

​

BESS

Batteriespeicher

112

48

160

7030A0

​

Other Storages

Sonstige Speicher

76

133

123

4C857B

​

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Agenda

20

I

II

III

IV

V

VII

IX

Understand the Template for a Consistent Layout

Leverage Boxes to Organize Content

Use the Typeface to Enhance Readability

Learn to use Animations for Engagement and Focus

Visualize your Numbers with Plots

Additional Tips to Improve your Design

Explore Design Inspirations to Spark your Creativity

VIII

Acknowledge Work with Proper Citations

VI

Structure your Data with Clear Tables

Source: Photo by Estée Janssens on Unsplash

www.tugraz.at

First Name Last Name, Institute of Electricity Economics and Energy Innovation/TU Graz (Change in Slide > Edit Design)

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Tables

Clear and Well-Designed Tables

21

  • Bold headers for clarity and emphasis
  • Black vertical lines for header and bottom only (2pt)
  • Grey vertical lines (1pt) for the rest
  • Avoid horizontal lines (unless necessary)
  • Use grey as background for odd rows

Table Design

  • Align numbers by decimal separator for better readability
  • Show only meaningful decimals - no clutter
  • Use consistent units and place them in the header when possible
  • Highlight the numbers you want to emphasise

Data Readability

Power Plant Type

2022

2023

2024

2025

Coal

25.3

20.6

15.9

10.5

Gas

75.3

70.5

60.2

55.6

Run-of-River

40.3

45.0

50.0

50.0

PV

50.5

70.5

90.7

120.0

Wind

80.0

90.2

110.3

130.4

Storag Hydro

10.7

20.0

30.7

40.2

Table 1: Installed capacity per power plant type in Wakanda from 2022-2025 in MW.

Source: Energy Report, Statistics Wakanda, 2023

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Agenda

22

I

II

III

IV

V

VII

IX

Understand the Template for a Consistent Layout

Leverage Boxes to Organize Content

Use the Typeface to Enhance Readability

Learn to use Animations for Engagement and Focus

Visualize your Numbers with Plots

Additional Tips to Improve your Design

Explore Design Inspirations to Spark your Creativity

VIII

Acknowledge Work with Proper Citations

VI

Structure your Data with Clear Tables

Source: Photo by Estée Janssens on Unsplash

www.tugraz.at

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Additional Tips

Improve your Design

23

ICONS

  • Incorporate icons to enhance visual clarity and aid quick comprehension
  • Not applicable in Google Slides: The recommended option is to use Microsoft’s built-in pictograms
  • When using third-party icons:
    • Ensure the icons follow a consistent design style
    • Verify that you have the appropriate usage rights for the icons

ORNAMENTATIONS

  • Enhance your design with ornamentations, such as a circle containing an icon
  • Use the following style:
    • Use the primary color for the circle to maintain visual consistency
    • Add a white border with a stroke width of 4 pts for a polished look
    • Set the icon’s fill color to white for a clean and striking contrast

PICTURES

  • Always credit the source of your pictures
  • Ensure all images are crisp and sharp for optimal quality

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Agenda

24

I

II

III

IV

V

VII

IX

Understand the Template for a Consistent Layout

Leverage Boxes to Organize Content

Use the Typeface to Enhance Readability

Learn to use Animations for Engagement and Focus

Visualize your Numbers with Plots

Additional Tips to Improve your Design

Explore Design Inspirations to Spark your Creativity

VIII

Acknowledge Work with Proper Citations

VI

Structure your Data with Clear Tables

Source: Photo by Estée Janssens on Unsplash

www.tugraz.at

First Name Last Name, Institute of Electricity Economics and Energy Innovation/TU Graz (Change in Slide > Edit Design)

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References

Cite the Sources you use

25

“In the middle of every difficulty lies opportunity.”

​

A.Einstein [1]

When mentioning authors, list only the first author followed by et al.:

​

In their study, Gaugl et al. [2] demonstrate that rising CO2 prices result in higher electricity prices in Austria.

Including Authors

For general references, simply cite the source at the end:

​

The LEGO model is an energy system optimization model developed at the Institute of Electricity Economics and Energy Innovation. [3]

Without Authors

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Agenda

26

I

II

III

IV

V

VII

IX

Understand the Template for a Consistent Layout

Leverage Boxes to Organize Content

Use the Typeface to Enhance Readability

Learn to use Animations for Engagement and Focus

Visualize your Numbers with Plots

Additional Tips to Improve your Design

Explore Design Inspirations to Spark your Creativity

VIII

Acknowledge Work with Proper Citations

VI

Structure your Data with Clear Tables

Source: Photo by Estée Janssens on Unsplash

www.tugraz.at

First Name Last Name, Institute of Electricity Economics and Energy Innovation/TU Graz (Change in Slide > Edit Design)

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Design Inspirations

Spark your Creativity

27

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Methodology

NTC Model

28

Objective Function:�Minimize total system costs

Constraint 1:�Balance equation

Constraint 2:�NTC Limits

Constraint 3:�Flow direction

Constraint 4:�Export/Import

Constraint 5:�Generator Limits

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Examined Main Scenarios

Analysis of Flexibility Requirements

29

Scenario�LOW ENERGY

STORYLINE: Austria continues to face a challenging economic situation, with slowed investments and subdued economic growth:

​

  • Investments in renewable energy remain low, and electricity demand is lower than projected in the ÖNIP scenario.

​

Scenario�BASE

STORYLINE: Austria pursues a highly ambitious path to decarbonization and achieves the goal of decarbonization by 2040:

​

​

  • Ambitious renewable energy expansion aligned with the ÖNIP (Austrian National Energy and Climate Plan).

Scenario�HIGH ENERGY

STORYLINE: Investments in renewable energy exceed expectations, accompanied by a rapid pace of electrification:

​

​

  • This leads to increased investments in renewables and a rising electricity demand.

​

Through the in-depth analysis of the BASE scenario

and the comparison with the extreme scenarios, the research questions are answered.

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Decarbonization

Energy Sectors

30

Simulation/optimization models serve as decision support tool.

Source: SWP Berlin

The European Commission wants to achieve climate neutrality until 2050

Affected sectors:

  • Electric power sector
  • Transport and mobility
  • Heat
  • Gas (hydrogen), etc.

Large-scale investments in infrastructure required

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Clustering

Different algorithms

31

Choose wisely!

k-Means

Description: exact mean

​

Advantage: the total amount of energy remains the same

​

Disadvantage: representative values are lost

k-Medoids

Description: closest value to mean

​

Advantage: real values

​

Disadvantage: difference in the total amount of energy

Comparison

Difference in total amount of energy at 7 representative periods: 2%

​

219 PJ at k-means

​

223 PJ at k-medoids

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Grading

32

Attendance mandatory1

Participation

  • Preparatory tasks�Short tasks before class like watching a video, reading a text and answering some questions in TeachCenter

​

  • Exercises during class

Homework 1

  • Exercise�Work you have to do at home.

​

  • Report�Comment your code and write a small report

Homework 2

  • Exercise�Work you have to do at home.

​

  • Report�Comment your code and write a small report

50 Points

25 Points

25 Points

In each part more than 50% of the points are required for a positive grade

Grading scale

<50 Points: 5

50 – 62 Points: 4

63 – 75 Points: 3

76 – 88 Points: 2

89 – 100 Points: 1

​

1 If more than two lessons are missed without an adequate excuse, you can no longer successfully complete the course.

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Classification

Definition

33

Classification is a machine learning technique used to predict group membership �for data instances.

TRAINING DATA

  • Given a collection of records (training set), each record contains a set of attributes, with one attribute being the class.
  • Each sample is characterized by a tuple (X, y), where:
    • X: attribute set (predictor, independent variable, input)
    • y: class label (response, dependent variable, output)

TASK

  • Learn a model that maps each attribute set X to one of the predefined class labels y.
  • Find a model for the class attribute as a function of the values of other attributes.

GOAL

  • Assign previously unseen records to a class as accurately as possible.
  • Use a test set to determine the accuracy of the model.
  • Typically, the dataset is divided into training and test sets:
    • Training set: Used to build the model
    • Test set: Used to validate the model

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Classification

34

SENTIMENT ANALYSIS

​

  • Task: Determine the sentiment of a text (e.g., reviews, social media posts).
  • Attributes: Text data (words, phrases).
  • Class Labels: "Positive," "Negative," or "Neutral"

DISEASE DIAGNOSIS

​

  • Task: Diagnose whether a patient has a particular disease.
  • Attributes: Medical history, symptoms.
  • Class Labels: "Disease" or "No Disease"

​

​

ACTIVITY RECOGNITION

​

  • Task: Determine the activity being performed based on sensor data.
  • Attributes: Sensor readings (e.g., from a smartphone or wearable device).
  • Class Labels: “Biking," "Running," etc.

​

​

IMAGE RECOGNITION

​

  • Task: Identify objects or people in images.
  • Attributes: Pixel values, image features.
  • Class Labels: "Cat," "Dog," etc.

LANGUAGE DETECTION

​

  • Task: Identify the language of a given text.
  • Attributes: Text data
  • Class Labels: "English," "Spanish.," etc.

EMAIL SPAM DETECTION

​

  • Task: Classify as "spam" or "not spam."
  • Attributes: Email content, sender, etc.
  • Class Labels: "Spam" or "Not Spam"

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Pipeline Gas Transmission

Framework for Piecewise Linearization

35

Indices

k Time step

m,n Gas nodes

l(m,n) Pipeline connecting m, n

Variables

fk,l Average gas flow

pk,m Nodal gas pressure

fk,lIn fk,lOut In and outflowing gas

lpk,l Linepack

​

​

Parameter

RlG Pipeline characteristics

LPl Linepack characteristics

General gas flow equation

∀ k,l(m,n)

Linepack

∀ k,l(m,n)

Average gas flow

∀ k,l(m,n)

T. Klatzer, U. Bachhiesl, S. Wogrin, A. Tomasgard, „Ramping up the hydrogen sector: An energy system modeling framework“, Applied Energy 2024, doi: 10.1016/j.apenergy.2023.122264

Inventory constraint

∀ k,l(m,n)

Linearization (x2)

Linearization (x1)

INC & SOS2 linearizations are tight & compact.

Their union is not!

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Thank You!

36

First Name Last Name (Change in Slide > Edit Desing)

Titles

​

Graz University of Technology

​

Institute of Electricity Economics and Energy Innovation

Inffeldgasse 18

8010 Graz, Austria

​

Phone: +43 xxx xxx xxxx

​

Mail: xxxxxxxx@xxx.xx

Web: iee.tugraz.at

instagram.com/iee.tugraz

linkedin.com/company/iee-tugraz

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Bibliography

  1. R. Riker and G. Fraser, In the Middle of Difficulty Lies Opportunity.-Albert Einstein, Critical care medicine, vol. 46, pp. 1881–1882, Nov. 2018. DOI: 10.1097/CCM.0000000000003399.
  2. R. Gaugl et al., Integrated Power and Economic Analysis of Austria’s Renewable Electricity Transformation, Energies, vol. 16, no. 5, 2023, ISSN: 1996-1073. DOI: 10.3390/en16052229.
  3. S. Wogrin et al., LEGO: The open-source Low-carbon Expansion Generation Optimization model, SoftwareX, vol. 19, p. 101 141, 2022, ISSN: 2352-7110. DOI: 10.1016/j.softx.2022.101141.

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www.tugraz.at

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