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A stochastic power network calculus for integrating renewable energy sources into the power grid

This article presents a stochastic power network calculus developed for the integration of renewable energy sources into power grids. It addresses the challenges of modeling power systems that rely solely on renewable sources, focusing on energy storage and demand-supply matching. The methodology includes performance metrics such as the Fraction of Time Not Served (FTNS) and Waste of Power Supply (WPS). A case study on Santa Catalina Island highlights the application of the model, evaluating the impact of PV panels and wind energy to improve reliability and efficiency in supply systems.

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A stochastic power network calculus for integrating renewable energy sources into the power grid

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  1. A stochastic power network calculus for integrating renewable energy sources into the power grid Presenter: qinghuashen Wang, Kai, et al. "A stochastic power network calculus for integrating renewable energy sources into the power grid." Selected Areas in Communications, IEEE Journal on 30.6 (2012): 1037-1048.

  2. content • Intro • Formulation • Power system modelling • Performance metrics • Case study • Conclusions

  3. 1. Intro • Motivation use environmentally friendly sources adopt storage to match uncertain supply and demand (island) improve reliability of the system

  4. 1. Intro • Motivation • Why network calculus The ability of the stochastic network calculus to model broad classes of queueing scenarios and capture statistical multiplexing gain • Why extend Decoupled arrival and service process Specific performance metrics: Fraction of Time that energy is not-served (FTNS) waste of power supply (WPS) (drop rate)

  5. 2. Formulation • Problem description Island: only renewable sources for supply Storage has limited capacity C Np: PV panels, Nw wind turbines Objectives: reliability provisioning in terms of FTNS

  6. 2. Formulation • Network Calculus • was designed to facilitate stochastic performance analysis (tail performance analysis with multiplexing) • Envelop process to characterize arrival process • Queue characterization:

  7. 3. Power system modelling • Energy storage: discrete • Charged: • Discharged: • Differences from queue • Departure is not a function of the arrival and current queue

  8. 3. Power system modelling • Energy demand and supply • Upper curve: • Lower curve: • Similar for supply • Upper curve: similar to queue • Lower curve: needed for energy storage • Tightness: tradeoff between shapes of curves and bounding function

  9. 4. Performance metrics • Transform to non-recursive • recursive • Non-recursive: • Compare to previous work • Finite buffer length

  10. 4. Performance metrics • How to present metrics recursive form Loss of power supply: Fraction Time of no service: Waste of power supply (WPS)

  11. 4. Performance metrics • How to present metrics non recursive form Loss of power supply: Fraction Time of no service: Waste of power supply (WPS):

  12. 4. Performance metrics • Bound expression Loss of power supply: Intuition: upper of demand - lower of supply Waste of power supply (WPS): Intuition: upper of supply – lower of demand

  13. 4. Performance metrics • More benefits to come! Multiplexing: For N source with Similar results for upper bound • Something is missing! (hao)

  14. 5. A case study • Santa Catalina Island

  15. 5. A case study • Model fitting • Linear function with rate equal to long term mean rate • exponential functions for the bounding functions

  16. 5. A case study • Model fitting • Linear function with rate equal to long term mean rate • exponential functions for the bounding functions

  17. 5. A case study • Model fitting • Linear function with rate equal to long term mean rate • exponential functions for the bounding functions

  18. 5. A case study • Numerical results • Impacts of PV panels, wind and season

  19. 6. Conclusion • Issues: demand and supply for an island • Only renewable energy • Storage aided • Reliability • Good point • New type of “queue” • Finite buffer analysis • Insufficient • Does this really matter (finite queue, decoupled?) • My view • Not average tail but instantaneous tail(New fitting) • How will renewable energy impacts the market?

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