Dissertation
Holomorphic embedded state estimation for AC-DC power systems
Doctor of Philosophy (Ph.D.), Drexel University
Mar 2022
DOI:
https://doi.org/10.17918/00001099
Abstract
The desire for more autonomous and resilient architectures coupled with the increased inclusion of power electronics is shifting the topology of power systems to be more integrated alternating current (AC) and direct current (DC) where AC dominance can no longer be assumed. Because of the unique physical and mathematical properties of AC-DC power systems, existing tools for power system development and operation may require modification and/or a new approach may be warranted. Issues encountered by AC-DC power systems will require the development of new and practical tools, analyses, and algorithms. State estimation is a key component in the operation and control efforts of power systems. The objective of state estimation is to provide an estimate of the complex voltages values at all buses for a power system, given redundant measurements of varying accuracy. The traditional approach to solving the static state estimation problem is to utilize a non-linear weighted least squares approach solved via iterative methods. Traditional AC-DC state estimation methods will be more prone to convergence issues as the amount of DC subsystems increases and system stability is stressed due to larger and more dynamic loads. This work proposes a non-iterative approach to the static state estimation problem applied to AC-DC power systems. Specifically, it details the development of the Holomorphic Embedded State Estimation (HESE) method. By employing a holomorphic embedding approach, the state estimation problem is framed in the field of complex analysis and analytic continuation. By taking advantage of strategic complex embedding and features of holomorphic functions, a non-iterative state estimator is developed which does not inherit the convergence issues derived from the nature of iterative solvers. The results of the HESE method applied to a physical AC power system, simulated DC power system, and simulated AC-DC converter is discussed. Finally, results of the application of the HESE method to a simulated AC-DC power system in a sequential and unified fashion is discussed.
Metrics
63 File views/ downloads
65 Record Views
Details
- Title
- Holomorphic embedded state estimation for AC-DC power systems
- Creators
- Shaun Mendoza Cruz
- Contributors
- Karen Nan Miu (Advisor)
- Awarding Institution
- Drexel University
- Degree Awarded
- Doctor of Philosophy (Ph.D.)
- Publisher
- Drexel University; Philadelphia, Pennsylvania
- Number of pages
- xvi, 169 pages
- Resource Type
- Dissertation
- Language
- English
- Academic Unit
- College of Engineering (1970-2026); Electrical (and Computer) Engineering (1970-2026); Drexel University
- Other Identifier
- 991017495592904721