Hierarchical Power Systems: Optimal Operation Using Grid Flexibilities

ISBN-13: 9783031256981 / Angielski

Philipp Sauerteig; Tim Aschenbruck; Jörg Dickert

Opis

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.

Spis treści

1. Introduction

2. MainIdea

3. Microgrid level

4. DSO Level

5. TSO Level

6. Outline

7. Preliminary theory

8. Optimal Power Flow

9. Semidefinite Optimal Power Flow

10. Dynamic structure-preserving power grid model

11. Providing flexibility via residential batteries

12. Modelling microgrids

13. Peakshaving

14. Generating flexibility

15. Associating costs with the flexibility

16. Communication to the DSO

17. Flexibility in the distribution grid

18. Flexibility problems

19. Surrogate model of the distribution grid

20. Compensating for intracluster line power losses

21. Communication to the TSO

22. Security and stability on the transmission grid

23. Security-constrained optimal power flow

24. Stability-guaranteed power flow

25. Sufficient conditions for synchronization

26. The stability algorithm

27. Remarks & Perspectives

28. Implementation in the distribution grid and the microgrids

29. Implementation at the distribution grid level

30. Implementation at microgrids

31. Numerical example

32. Flexibility of the MGs

33. Flexibility of the distribution grid

34. Flexibility in the transmission grid

35. Implementation at the distribution grid level

36. Implementation at the MGs

37. Conclusion

38. Appendix A: Complete flexibility results for the microgrids

39. References

O autorze

The authors combine expertise from various fields such as mathematical optimization, automatic and optimization-based control, and model-order reduction as well as practical aspects from transmission and distribution grids. They jointly worked in the project KONSENS (Consistent Optimization and Stabilization of Electrical Network Systems) funded by the Federal Ministry of Education and Research in Germany. Among other things, the KONSENS consortium organized two minisymposia on the optimization of power grids at the 21st and the 22nd European Consortium for Mathematics in Industry (ECMI) Conference on Industrial and Applied Mathematics. The first one in 2018 "Mathematics as key factor to master the challenges of the energy transition" and the second in 2021 "Mathematical Innovations for Mastering the Energy Transition: a Holistic Perspective." During the project, the consortium published several journal and conference papers as well as book chapters on automation, stabilization, and optimization of future electrical grids. Additionally, the consortium applied similar methods to contribute to the understanding of the spread of COVID-19 and the impact of countermeasures.