Model order reduction of an islanded microgrid using singular perturbations

Kodra, Kliti; Zhong, Ningfan; Gajić, Zoran

doi:10.1109/acc.2016.7525480

Cited by 15 publications

(8 citation statements)

References 21 publications

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“…A combination of equivalent resistance of constant resistance load, R crl and equivalent current sink representing constant current load forms another set of generalised load model. The total load current i load is the sum of current in both parallel branches as in (6), and the state equation contributed is (7).…”

Section: Load and Line Dynamicsmentioning

confidence: 99%

Robust optimisation‐based order reduction and stability analysis of autonomous DC microgrid with consideration of non‐linearity

Juneja

Mohanty

Nagar

2019

Int Trans Electr Energ Syst

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The reduced‐order modelling in the context of timescale separation of DC microgrid based on discrimination of fast and slow states is an important concept that is implemented in this paper. DC microgrid composing of fuel cell, which has inherent sluggish response than that of other components, such as PV and battery, which has faster response, forms an important basis for timescale separation. Further, the states associated with high non‐linearity that does exist in fuel cell are retained intact while the rest of the electrical components have been reduced by robust optimization through mixed H2/H∞ norm by Particle Swarm Optimization (PSO) algorithm. The feasibility of nonlinear stability analysis, on the contrary to small signal analysis of the reduced‐order system, is addressed by Input to State stability (ISS) criteria, which guarantee Bounded Input Bounded State (BIBS) stability. Series of simulation results and different theorems addresses the objective implemented.

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Section: Load and Line Dynamicsmentioning

confidence: 99%

Robust optimisation‐based order reduction and stability analysis of autonomous DC microgrid with consideration of non‐linearity

Juneja

Mohanty

Nagar

2019

Int Trans Electr Energ Syst

View full text Add to dashboard Cite

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“…The general form of the small signal model of the nonlinear multi-time scale system shown in Equation (20) at the equilibrium point can be expressed as [22]:…”

Section: Consistency Proof Of Static Stability Before and After Ordermentioning

confidence: 99%

“…These equations have completely consistent equilibrium points. If the dominant unstable equilibrium points (UEP) of the system before and after order reduction are both (x u ,ŷ u ), when ε i selects any sufficiently small positive value ε, then the Jacobian matrix of the original system Equation (20) at the UEP is as follows:…”

Section: Consistency Proof Of Transient Stability Before and After Ormentioning

confidence: 99%

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Multi-Time Scale Model Order Reduction and Stability Consistency Certification of Inverter-Interfaced DG System in AC Microgrid

et al. 2018

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AC microgrid mainly comprise inverter-interfaced distributed generators (IIDGs), which are nonlinear complex systems with multiple time scales, including frequency control, time delay measurements, and electromagnetic transients. The droop control-based IIDG in an AC microgrid is selected as the research object in this study, which comprises power droop controller, voltage-and current-loop controllers, and filter and line. The multi-time scale characteristics of the detailed IIDG model are divided based on singular perturbation theory. In addition, the IIDG model order is reduced by neglecting the system fast dynamics. The static and transient stability consistency of the IIDG model order reduction are demonstrated by extracting features of the IIDG small signal model and using the quadratic approximation method of the stability region boundary, respectively. The dynamic response consistencies of the IIDG model order reduction are evaluated using the frequency, damping and amplitude features extracted by the Prony transformation. Results are applicable to provide a simplified model for the dynamic characteristic analysis of IIDG systems in AC microgrid. The accuracy of the proposed method is verified by using the eigenvalue comparison, the transient stability index comparison and the dynamic time-domain simulation.

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“…Several methods have been explored to reduce the dimensionality of large power systems in the literature [1][2][3][4][5][6][7][8]. Aggregation, balanced realization, truncation, and certain mixed methods have been discussed to reduce the order of these power systems in [3].…”

Section: Introductionmentioning

confidence: 99%

PSO Based reduced order modelling of autonomous AC microgrid considering state perturbation

2019

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Reduced order modelling of complex autonomous microgrid system is crucial to its small signal modelling and stability concerns. To reduce the storage requirements and computational time, the order of such microgrids can be reduced by Model Order Reduction (MOR) techniques. This paper presents an optimal reduction technique, which retains dominant poles of the original system and achieves subsequent error minimization through the Particle Swarm Optimization algorithm (PSO). The 36th order complex microgrid system is reduced to 9 th order approximant, which retains the significant dynamics of the original system. The simulation results reflect the superiority of the proposed method as compared to the balanced truncation method in terms of the time and frequency domain analysis of the reduced order equivalents. State perturbation in the state space model has also been considered in full as well as reduced order system dynamics and eigenvalue analysis for system stability.

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Model order reduction of an islanded microgrid using singular perturbations

Cited by 15 publications

References 21 publications

Robust optimisation‐based order reduction and stability analysis of autonomous DC microgrid with consideration of non‐linearity

Robust optimisation‐based order reduction and stability analysis of autonomous DC microgrid with consideration of non‐linearity

Multi-Time Scale Model Order Reduction and Stability Consistency Certification of Inverter-Interfaced DG System in AC Microgrid

PSO Based reduced order modelling of autonomous AC microgrid considering state perturbation

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