Advanced optimization in nonconvex stochastic programming and integrated carbon capture systems
Loading...
Author(s)
Cheng, Pengfei
Advisor(s)
Editor(s)
Collections
Supplementary to:
Permanent Link
Abstract
This work explores advanced optimization techniques, focusing on both theoretical developments in nonconvex stochastic programming and practical applications in integrated energy systems with carbon capture technologies. The first part of this work delves into the theoretical analysis of decomposition-based global optimization algorithms for two-stage stochastic programming problems. We rigorously examine the convergence behavior of state-of-the-art algorithms, highlighting the critical role of value function regularity that are highly problem specific. Our findings indicate that while these methods can offer promising convergence rates under specific conditions, the general case remains challenging due to the inherent irregularities in value functions. This theoretical insight lays the groundwork for future algorithmic enhancements aimed at improving efficiency and robustness in solving nonconvex stochastic problems. The second part of the work applies optimization techniques to the practical challenge of integrating carbon capture technologies with natural gas combined cycle (NGCC) plants. This integration aims to enhance the operational flexibility and economic viability of NGCC plants in response to volatile electricity demands and evolving carbon market conditions. We develop comprehensive optimization frameworks for both single-stage and multi-stage retrofit integration of NGCC, post-combustion carbon capture (PCC), and direct air capture (DAC) units. The models incorporate detailed operational constraints and detailed energy market scenarios to evaluate the economic and environmental impacts of the proposed retrofits. Key contributions include the development of novel optimization formulations that account for sorbent dynamics in DAC operations, the development of a dynamic programming algorithm tailored for large-scale multi-stage retrofitting planning problems, and the construction of long-term carbon markets with high-resolution electricity demands. The results demonstrate significant potential for enhanced profitability and extended dispatching capabilities of NGCC plants through strategic integration with PCC and DAC technologies, especially under favorable carbon pricing and policy incentives.
Sponsor
Date
2024-07-24
Extent
Resource Type
Text
Resource Subtype
Dissertation