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access icon openaccess Small-signal stability analysis of Energy Internet through differential inclusion theory

  • Author(s): Pan Hu 1, 2 ; Hongkun Chen 2 ; Xiaohang Zhu 3 ; Lei Chen 2
    • View affiliations
  • Source: Volume 2018, Issue 17, November 2018, p. 1896 – 1902
    DOI:  10.1049/joe.2018.8340 , Online ISSN 2051-3305
This is an open access article published by the IET under the Creative Commons Attribution License (http://creativecommons.org/licenses/by/3.0/)
Received 14/08/2018, Accepted 31/08/2018, Published 21/09/2018

In this study, small-signal stability issue associated with uncertainty excitation is investigated by using differential inclusion theory. Specifically, a polytopic linear differential inclusion (PLDI) model for Energy Internet is developed, in which a modified non-sequence Monte Carlo method is introduced to identify a series of time-variant operation states. Additionally, a simplified small-signal model of renewable energy sources (RES) with virtual synchronous generator control is proposed, and the outputs of RES are modelled as time-varying elements in PLDI model to reflect the inner stochastic excitation in the linearised matrix. The stability criterion for the stochastic time-varying system is mathematically deduced based on convex hull Lyapunov function. Simulation demonstrates the benefits of the proposed model in describing system stochastic characteristics and reducing computational burden.

Inspec keywords: time-varying systems; control system synthesis; power system stability; renewable energy sources; Monte Carlo methods; Lyapunov methods; synchronous generators; stochastic processes

Other keywords: RES; uncertainty excitation; renewable energy sources; stochastic time-varying system; time-varying elements; energy Internet; polytopic linear differential inclusion model; differential inclusion theory; simplified small-signal model; PLDI model; nonsequence Monte Carlo method; small-signal stability issue; time-variant operation states; inner stochastic excitation; virtual synchronous generator control; small-signal stability analysis; stability criterion

Subjects: Monte Carlo methods; Control of electric power systems; Synchronous machines; Monte Carlo methods; Time-varying control systems; Control system analysis and synthesis methods; Stability in control theory

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