This book explains the power grid as a hierarchy made up of the transmission, distribution, and microgrid levels.
Interfaces among these levels are explored to show how flexibility in power demand associated with residential batteries can be communicated through the entire grid to facilitate optimal power flow computations within the transmission grid.
To realize this approach, the authors combine semi-definite optimal power flow with model-order reduction at the distribution level and with a new heuristic algorithm for stable power flow at the transmission level. To demonstrate its use, a numerical case study based on modified IEEE 9-bus and 33-bus systems for the transmission and distribution grid, respectively, is included.
This book shows how exploiting the flexibility on the residential level improves the performance of the power flow with the transmission grid.
Author(s): Tim Aschenbruck, Jörg Dickert, Willem Esterhuizen, Bartosz Filipecki, Sara Grundel, Christoph Helmberg, Tobias K. S. Ritschel, Philipp Sauerteig, Stefan Streif, Andreas Wasserrab, Karl Worthmann
Series: SpringerBriefs in Energy
Publisher: Springer
Year: 2023
Language: English
Pages: 59
City: Cham
Preface
Contents
1 Introduction
1.1 Main Idea
1.1.1 Microgrid Level
1.1.2 DSO Level
1.1.3 TSO Level
1.2 Outline
References
2 Preliminary Theory
2.1 Optimal Power-Flow
2.2 Semidefinite Optimal Power-Flow
2.3 Dynamic Structure Preserving Power Grid Model
References
3 Providing Flexibility via Residential Batteries
3.1 Modelling Microgrids
3.2 Peak Shaving
3.3 Generating Flexibility
3.4 Associating Costs with the Flexibility
3.5 Communication to the DSO
References
4 Flexibility in the Distribution Grid
4.1 Flexibility Problems
4.2 Surrogate Model of the Distribution Grid
4.2.1 The Power-Flow Equations in Vector-Form
4.2.2 Clustering Based on Proper Orthogonal Decomposition
4.2.3 Clustering of the Power-Flow Equations and Inequalities
4.3 Compensating for Intracluster Line Power Losses
4.4 Communication to the TSO Level
References
5 Security and Stability on the Transmission Grid
5.1 Security-Constrained Optimal Power-Flow
5.2 Stability-Guaranteed Power-Flow
5.2.1 Sufficient Conditions for Synchronization
5.2.2 The Stability Algorithm
5.2.3 Remarks and Perspectives
References
6 Implementation in the Distribution Grid and the Microgrids
6.1 Implementation at the Distribution Grid Level
6.2 Implementation at Microgrids
7 Numerical Example
7.1 Flexibility of the MGs
7.2 Flexibility of the Distribution Grid
7.3 Flexibility in the Transmission Grid
7.4 Implementation at the Distribution Grid Level
7.5 Implementation at MGs
7.6 Conclusion and Outlook
References
Appendix Complete Flexibility Results for the Microgrids
