Učni načrt predmeta

Predmet:
Modeliranje in simulacija energetskih sistemov
Course:
Modelling and Simulation of Energy Systems
Študijski program in stopnja /
Study programme and level
Študijska smer /
Study field
Letnik /
Academic year
Semester /
Semester
Ekotehnologije, 3. stopnja / 1 1
Ecotechnologies, 3rd cycle / 1 1
Vrsta predmeta / Course type
Izbirni / Elective
Univerzitetna koda predmeta / University course code:
EKO3-940
Predavanja
Lectures
Seminar
Seminar
Vaje
Tutorial
Klinične vaje
work
Druge oblike
študija
Samost. delo
Individ. work
ECTS
15 15 15 105 5

*Navedena porazdelitev ur velja, če je vpisanih vsaj 15 študentov. Drugače se obseg izvedbe kontaktnih ur sorazmerno zmanjša in prenese v samostojno delo. / This distribution of hours is valid if at least 15 students are enrolled. Otherwise the contact hours are linearly reduced and transfered to individual work.

Nosilec predmeta / Course leader:
prof. dr. Milena Horvat
Sodelavci / Lecturers:
dr. Boris Sučić
Jeziki / Languages:
Predavanja / Lectures:
slovenščina, angleščina
Vaje / Tutorial:
Slovenian, English
Pogoji za vključitev v delo oz. za opravljanje študijskih obveznosti:
Prerequisites:

Zaključena druga stopnja bolonjskega študija ali univerzitetni študijski program.

Completed Bologna B.Sc. or a professional type of undergraduate education.

Vsebina:
Content (Syllabus outline):

Predmet študente seznani z metodami in orodji za modeliranje, analizo in simulacijo energetskih sistemov, vključno s konvencionalnimi in obnovljivimi viri energije ter tehnologijami za shranjevanje energije, ki podpirajo sodobne energetske sisteme in prehod na obnovljive ter decentralizirane vire energije. Glavni poudarek bo na razumevanju modeliranja kot orodja za podporo odločanju, ki povezuje fizikalno obnašanje sistemov z inženirskimi, okoljskimi in ekonomskimi cilji. Študenti se bodo naučili razvijati matematične modele, uporabljati simulacijsko programsko opremo ter interpretirati obnašanje sistemov v različnih obratovalnih scenarijih. Prav tako bodo spoznali, kako lahko modeliranje in simulacija podpirata strateško odločanje pri energetskem načrtovanju in oblikovanju energetskih in podnebnih politik. Poudarek bo tudi na sodobnih principih delovanja hranilnikov energije, njihovi zasnovi, ocenjevanju učinkovitosti in možnostih za integracijo v večje sisteme. Študenti se bodo naučili modelirati, simulirati in analizirati sisteme za shranjevanje energije, ocenjevati njihovo ekonomsko upravičenost ter razumeti njihovo vlogo pri nadaljnjem razvoju elektroenergetskih omrežij, razvoju elektromobilnosti in povečanju energetske učinkovitosti.

Predmet se bo začel z uvodnim predavanjem o konceptu energetskih sistemov in njihovi vlogi v sodobnem inženirstvu in kontekstu trajnostnega razvoja. Predstavljeni bodo temeljni koncepti modeliranja, vključno z razvrstitvijo modelov (empirični, fizikalni in hibridni), ravnmi abstrakcije ter razlikami med statičnimi in dinamičnimi modeli. Poseben poudarek bo namenjen razumevanju, kako matematični modeli opisujejo in ponazarjajo fizikalne procese. Predstavljen bo tudi koncept sistemskih meja, vključno z energijsko in masno bilanco.

Predstavljena bodo osnovna termodinamična in toplotna načela, ki določajo delovanje energetskih sistemov. Študenti se bodo naučili oblikovati energijske bilance in modelirati ključne termodinamične procese v industriji, proizvodnji električne energije in sistemih za daljinsko ogrevanje.

Poleg tega bodo študenti spoznali različne tehnologije shranjevanja energije (električne, toplotne, mehanske in kemične) ter njihove tehnične značilnosti. Podrobno bodo obravnavani temeljni pojmi, kot so energijska gostota, nazivna moč, učinkovitost in časovna kategorizacija tehnologij. Razpravljalo se bo o vlogi shranjevanja pri uravnoteženju elektroenergetskega sistema, regulaciji frekvence in strategijah razogljičenja.

Predstavljeni bodo tudi ključni koncepti shranjevanja toplote in uporabe materialov s fazno spremembo, z analizo različnih konfiguracij sistemov in njihovih področij uporabe. Obravnavan bo vodik kot nosilec energije, vključno s proizvodnjo (elektroliza), shranjevanjem (v stisnjeni, utekočinjeni ali trdni obliki) ter uporabo v gorivnih celicah. Predstavljene bodo možnosti integracije vodikovih tehnologij z obnovljivimi viri energije in koncept »Power-to-X« (pretvorba električne energije v vodik ali sintetična goriva).

Skozi različne vaje se bodo študenti naučili primerjati različne konfiguracije sistemov z vidika tehnične učinkovitosti in ekonomske upravičenosti, s čimer se bo krepilo povezovanje ekonomskih kriterijev v zasnovo energetskih sistemov.

Predmet se bo zaključil s celovitim razmislekom o vlogi modeliranja pri energetski tranziciji, pri čemer bo poudarjen pomen integracije tehničnih, ekonomskih in okoljskih vidikov pri načrtovanju sodobnih trajnostnih energetskih rešitev.

This course introduces students to methods and tools for modelling, analysing, and simulating energy systems, including conventional and renewable energy sources as well as energy storage technologies that support modern energy systems and the transition toward renewable and decentralised energy supply. The main focus is on understanding modelling as a decision-support tool that links the physical behaviour of systems with engineering, environmental, and economic objectives. Students will learn how to develop mathematical models, use simulation software, and interpret system behaviour under different operating scenarios. They will also explore how modelling and simulation can support strategic decision-making in energy planning and in the design of energy and climate policies. Emphasis is also placed on the operation and design of modern energy storage systems, performance assessment, and integration into larger systems. Students will learn to model, simulate, and analyse energy storage systems, assess their economic feasibility, and understand their role in the further development of power grids, the growth of electromobility, and the improvement of energy efficiency.

The course begins with an introductory lecture on the concept of energy systems and their role in modern engineering and in the context of sustainable development. Fundamental modelling concepts will be presented, including model classification (empirical, physics-based, and hybrid), levels of abstraction, and the differences between static and dynamic models. Particular emphasis will be placed on understanding how mathematical models describe and represent physical processes. The concept of system boundaries will also be introduced, including energy and mass balances.

Basic thermodynamic and thermal principles governing the operation of energy systems will be presented. Students will learn how to formulate energy balances and model key thermodynamic processes in industry, power generation, and district heating systems.

In addition, students will be introduced to various energy storage technologies (electrical, thermal, mechanical, and chemical) and their technical characteristics. Core concepts such as energy density, rated power, efficiency, and time-scale classification of technologies will be covered in detail. The role of storage in balancing power systems, frequency regulation, and decarbonisation strategies will be discussed.

Key concepts of thermal energy storage and the use of phase-change materials will also be presented, including an analysis of different system configurations and application areas. Hydrogen as an energy carrier will be covered as well, including production (electrolysis), storage (compressed, liquefied, or solid-state), and use in fuel cells. Options for integrating hydrogen technologies with renewable energy sources and the "Power-to-X" concept (conversion of electricity into hydrogen or synthetic fuels) will be introduced.

Through a range of exercises, students will learn to compare different system configurations from both a technical performance perspective and an economic feasibility perspective, strengthening the integration of economic criteria into energy system design.

The course concludes with a comprehensive reflection on the role of modelling in the energy transition, emphasising the importance of integrating technical, economic, and environmental perspectives when designing modern sustainable energy solutions.

Temeljna literatura in viri / Readings:

Vanek, F. M., Albright, L. D., Angenent, L. T., Ellis, M. W., & Dillard, D. A. Energy Systems Engineering: Evaluation and Implementation (4th ed., 2022). McGraw-Hill.
Monti, A., & Benigni, A. Modelling and Simulation of Complex Power Systems (2022). The Institution of Engineering and Technology (IET).
Lund, H. Renewable Energy Systems: A Smart Energy Systems Approach to the Choice and Modelling of Fully Decarbonized Societies (3rd ed., 2024). Academic Press Elsevier.
Adams, T. A. II (Ed.). Modelling and Simulation of Energy Systems (2019). MDPI AG.
Huggins, R. A. Energy Storage: Fundamentals, Materials and Applications (2016). Springer.
Dinçer, İ., & Rosen, M. A. Thermal Energy Storage: Systems and Applications (2021). John Wiley & Sons.
Sørensen, B., & Spazzafumo, G. Hydrogen and Fuel Cells (2018). Elsevier Academic Press.
International Energy Agency. Energy Technology Perspectives 2024 (2024). IEA Publications. Available at: https://iea.blob.core.windows.net/assets/34511d5d-8dc8-42a2-8faf-b83606cffced/EnergyTechnologyPerspectives2024.pdf

Ciljani izbor znanstvenih objav. / Targeted selection of scientific publications.

Cilji in kompetence:
Objectives and competences:

• Sposobnost interpretacije metod in orodij za modeliranje, analizo in simulacijo energetskih sistemov, vključno s konvencionalnimi in obnovljivimi viri energije.
• Sposobnost razvijanja matematičnih modelov, uporabe simulacijske programske opreme ter interpretacije delovanja energetskih sistemov v različnih obratovalnih scenarijih.
• Sposobnost interpretacije tehnologij shranjevanja energije, ki podpirajo sodobne energetske sisteme ter prehod na obnovljive in decentralizirane vire energije.
• Sposobnost vrednotenja delovnih značilnosti različnih sistemov shranjevanja energije (učinkovitost, energijska gostota, življenjska doba, stroški).

• Ability to interpret the methods and tools for modelling, analysing, and simulating energy systems, including conventional and renewable energy sources.
• Skills to develop mathematical models, use simulation software, and interpret system performance under various operational scenarios.
• Ability to interpret the energy storage technologies that support modern energy systems and the transition toward renewable and decentralised energy.
• Skills to evaluate the performance characteristics of various storage systems (efficiency, energy density, lifetime, cost).

Predvideni študijski rezultati:
Intendeded learning outcomes:

Znanje in razumevanje:
• Interpretacija matematičnih modelov za različne procese pretvorbe energije
• Vrednotenje načel modeliranja in simulacije energetskih sistemov
• Presojanje vloge modeliranja in simulacije pri načrtovanju, vodenju in obratovanju trajnostnih energetskih sistemov
• Presojanje različnih tehnologij shranjevanja energije
• Interpretacija sistemske vloge tehnologij shranjevanja energije v mikroomrežjih, integraciji obnovljivih virov in elektromobilnosti
• Kritična primerjava posameznih tehnologij shranjevanja energije, kot so baterije, vztrajnik, shranjevanje v stisnjenem zraku, toplotno shranjevanje in vodikovi sistemi

Uporaba:
• Objektivna presoja ustreznosti različnih tehnologij
• Celovito vrednotenje učinkovitosti, zmogljivosti in trajnostnosti energetskih sistemov
• Integracija obnovljivih virov energije in sistemov shranjevanja energije v simulirana energetska omrežja

Refleksija:
• Presoja zanesljivosti rezultatov simulacij in utemeljevanje modelnih predpostavk

Prenosljive spretnosti:
• Interdisciplinarno znanje za samostojno in skupinsko delo pri reševanju kompleksnih inženirskih problemov
• Uporaba problemskega, analitičnega in digitalnega znanja v novih kontekstih, tudi zunaj področja energetskih sistemov

Knowledge and understanding:
• Interpretation of mathematical models for different energy conversion processes
• Assessing the principles of energy system modelling and simulation
• Critical evaluation of the role of modelling and simulation in the design, control, and operation of sustainable energy systems
• Reasoning about different energy storage technologies
• Interpreting the system-level role of energy storage technologies in microgrids, renewable integration, and electric mobility
• Assessment of storage technologies such as batteries, flywheels, compressed air storage, thermal storage, and hydrogen systems

Application:
• Objective assessment of the applicability of different technologies
• Evaluation of the overall system performance, efficiency, and sustainability
• Integration of renewable energy sources and storage systems into simulated energy networks

Reflection:
• Assessing the credibility of simulation results and justifying modelling assumptions

Transferable skills:
• Interdisciplinary knowledge for independent and collaborative work on complex engineering problems
• Ability to apply problem-solving, analytical, and digital literacy skills to new contexts beyond energy systems

Metode poučevanja in učenja:
Learning and teaching methods:

• Predavanja
• Seminar
• Konzultacije
• Samostojno delo

• Lectures
• Seminar work
• Consultations
• Individual work

Načini ocenjevanja:
Delež v % / Weight in %
Assesment:
Seminar – študija primera modeliranja izbranega energetskega sistema (razvoj in dokumentiranje modela, analiza 2–3 obratovalnih scenarijev, presoja omejitev in občutljivosti, interpretacija rezultatov, priporočila za odločanje, pisno poročilo in kratka predstavitev)
50 %
Seminar – a case study involving the modelling of a selected energy system (model development and documentation, analysis of 2–3 operating scenarios, assessment of model limitations and sensitivity, interpretation of results, decision-making recommendations based on technical and economic criteria, written report and short presentation)
Ustni izpit – predstavitev in zagovor razvitega modela in rezultatov simulacij (razlaga sistemskih mej, ključnih enačb in predpostavk, interpretacija obnašanja sistema, kritična presoja omejitev, utemeljitev priporočil)
50 %
Oral exam – presentation and defence of the developed model and simulation results (explanation of system boundaries, key equations and assumptions, interpretation of system behaviour, critical assessment of model limitations, justification of recommendations)
Reference nosilca / Lecturer's references:
1. URANJEK, Gregor, HORVAT, Milena, MILAČIČ ŠČANČAR, Radmila, ROŠER, Janez, KOTNIK, Jože. Assessment of dimethyl sulphide odorous emissions during coal extraction process in Coal Mine Velenje. Environmental Monitoring and Assessment. 2023, vol. 195, art. 1269. DOI: 10.1007/s10661-023-11755-z
2. SNOJ, Luka, AMBROŽIČ, Klemen, BARBOT, L., BENEDIK, Ljudmila, BRATKIČ, Arne, HORVAT, Milena, et al. A half-century of nuclear research, education and training: Story of the JSI TRIGA reactor. Annals of Nuclear Energy. 2025, vol. 214, art. 111122. DOI: 10.1016/j.anucene.2024.111122
3. BANK, Michael S., PEDRERO ZAYAS, Zoyne, SOMERSET, Vernon, MARTIN, Lynwill G., HORVAT, Milena. Climate change, mercury pollution, and global ecology. Environmental Pollution. Jun. 2025, vol. 375, art. 126284. DOI: 10.1016/j.envpol.2025.126284
4. VINKOVIĆ, Andrija, HORVAT, Milena, NEČEMER, Marijan, JAĆIMOVIĆ, Radojko, KLANJŠČEK, Tin, et al. Could atmospheric carbon be driving sedimentation? Journal of Soils and Sediments. 2022, vol. 22, no. 11, pp. 2912–2928. DOI: 10.1007/s11368-022-03282-0
5. ŽIVKOVIĆ, Igor, BRATKIČ, Arne, KOTNIK, Jože, BEGU, Ermira, FAJON, Vesna, HORVAT, Milena, et al. Enhanced mercury reduction in the South Atlantic Ocean during carbon remineralization. Marine Pollution Bulletin. 2022, vol. 178, art. 113644. DOI: 10.1016/j.marpolbul.2022.113644