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Master's Thesis
Author of thesis: Rishika Nayana Patil
Acad. year: 2025/2026
Supervisor: RNDr. Pavel Popela, Ph.D.
Reviewer: Ing. Vít Procházka, Ph.D.
(Medium term planning of a cascade hydroelectric plant – Multistage Stochastic Optimization) This thesis investigates the application of multistage stochastic optimization to maximize the revenue generated by a cascade hydroelectric plant, with a specific focus on the hydroelectric plants of the Vltava cascade. The study utilizes real data: natural water inflow into reservoirs, electricity market price and hydroelectric plant technical specifications, to develop a 16 week multistage evaluation of the expected revenue. The model involves simulating data and a scenario tree, and optimizing for expected revenue. The optimization is implemented using the HiGHS solver on Python, which provides an understanding of the expected water movement in the river and the range of revenue generated at each time step. The results demonstrate the effectiveness of mathematical programming in medium to long term planning of water storage and utilization to generate electricity and support data informed decision making in hydro energy planning.
multistage stochastic optimization, cascade hydroelectric plant, scenario tree generation, Wasserstein distance, AR(1) process, revenue optimization, Vltava cascade, nonanticipativity, linear programming
Date of defence
16.06.2026
Result of the defence
Defended (thesis was successfully defended)
Grading
A
Process of defence
The student presented her work on the topic “Financial Optimization Models”. The supervisor was present in person and read his review. The Secretary then read the opponent’s review. After that, the student responded suitably to the opponent’s questions.
Language of thesis
English
Faculty
Fakulta strojního inženýrství
Department
Institute of Mathematics
Study programme
Applied and Interdisciplinary Mathematics (N-AIM-A)
Composition of Committee
doc. Ing. Luděk Nechvátal, Ph.D. (předseda) prof. RNDr. Josef Šlapal, CSc. (místopředseda) Mgr. Jitka Zatočilová, Ph.D. (člen) doc. Ing. Jiří Šremr, Ph.D. (člen) prof. RNDr. Miloslav Druckmüller, CSc. (člen) Prof. Raffaele D'Ambrosio (člen)
Supervisor’s reportRNDr. Pavel Popela, Ph.D.
Grade proposed by supervisor: A
Reviewer’s reportIng. Vít Procházka, Ph.D.
Grade proposed by reviewer: B
Responsibility: Mgr. et Mgr. Hana Odstrčilová