NDLI: Small-signal stability analysis and control of stochastic time-variant power system through differential inclusion theory

Content Provider	IET Digital Library
Author	Chen, Hongkun Hu, Pan Zhu, Xiaohang Chen, Lei
Abstract	Here, small-signal stability issue associated with multi-scale uncertainty excitation is investigated by using differential inclusion theory. Specifically, a polytopic linear differential inclusion (PLDI) model for large-scale uncertainty system 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 resources (RES) is proposed, the outputs of RES are modelled as time-varying elements in PLDI model to reflect the uncertainty in the linearised matrix. The stability criterion for the stochastic time-varying system is mathematically deduced based on convex hull Lyapunov function (CHLF). The criterion is then utilised to design robust stabilisers for stochastic system. Simulation, utilising two-area four-machine system and New England 39-bus test system, demonstrates the benefits of the proposed model in describing system stochastic characteristics, designing additional controllers and reducing computational burden.
Starting Page	1423
Ending Page	1431
Page Count	9
ISSN	17518687
Volume Number	13
e-ISSN	17518695
Issue Number	Issue 8, Apr (2019)
Alternate Webpage(s)	https://digital-library.theiet.org/content/journals/iet-gtd/13/8
Alternate Webpage(s)	https://digital-library.theiet.org/content/journals/10.1049/iet-gtd.2018.5934
Journal	IET Generation, Transmission & Distribution
Publisher Date	2019-01-29
Access Restriction	Open
Rights Holder	© The Institution of Engineering and Technology
Subject Keyword	CHLF Control of Electric Power System Control System Analysis Control System Synthesis Convex Hull Lyapunov Function Differential Inclusion Theory Invariance Large-scale Uncertainty System Lyapunov Method Monte Carlo Method New England 39-bus Test System Nonsequence Monte Carlo Method PLDI Model Polytopic Linear Differential Inclusion Model Power System Control Power System Stability Renewable Energy ReSource RES Robust Control Small-signal Stability Analysis Stability Criteria Stability in Control Theory Stochastic System Stochastic Time-variant Power System Control Stochastic Time-varying System Synthesis Method Time Varying Control System Time Varying System Two-area Four-machine System Uncertain System
Content Type	Text
Resource Type	Article
Subject	Control and Systems Engineering Energy Engineering and Power Technology Electrical and Electronic Engineering

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