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A Novel Observer-Centric Approach for Detecting Faults in Islanded AC Microgrids with Uncertainties

Gabriel Intriago, Andres Intriago, Charalambos Konstantinou, Yu Zhang

TL;DR

This work addresses fault detection in islanded AC microgrids with grid-forming inverters under parametric uncertainties by developing a nonlinear observer framework that uses residuals within a mixed $\mathcal{H}_{-}/\mathcal{H}_{\infty}$ optimization. It introduces OL and QB conditions to form less conservative LMIs for observer gains, enabling robust disturbance rejection while remaining sensitive to internal faults such as busbar, actuator, and inverter-bridge faults. The approach yields a cost-effective solution since no extra sensors are required and supports both droop control and virtual synchronous machine implementations. Numerical tests on a four-GFM islanded microgrid show faster and more reliable fault detection and clearer fault localization than traditional Lipschitz-based designs, with favorable computational requirements. The results indicate practical viability for real-world inverter-dominant microgrids, while also outlining considerations for large-scale capacitive lines and controller variations.

Abstract

Fault detection is vital in ensuring AC microgrids' reliable and resilient operation. Its importance lies in swiftly identifying and isolating faults, preventing cascading failures, and enabling rapid power restoration. This paper proposes a strategy based on observers and residuals for detecting internal faults in grid-forming inverters with power-sharing coordination. The dynamics of the inverters are captured through a nonlinear state space model. The design of our observers and residuals considers $H_{-}/H_{\infty}$ conditions to ensure robustness against disturbances and responsiveness to faults. The proposed design is less restrictive than existing observer-based fault detection schemes by leveraging the properties of quadratic inner-boundedness and one-sided Lipschitz conditions. The internal faults considered in this paper include actuator faults, busbar faults, and inverter bridge faults, which are modeled using vector-matrix representations that modify the state space model of the inverters. One significant advantage of the proposed approach is its cost-effectiveness, as it does not require additional sensors. Experiments are conducted on an islanded AC microgrid with three inductive lines, four inductive loads, and four grid-forming inverters to validate the merits of the proposed fault detection strategy. The results demonstrate that our design outperforms existing methods in the field.

A Novel Observer-Centric Approach for Detecting Faults in Islanded AC Microgrids with Uncertainties

TL;DR

This work addresses fault detection in islanded AC microgrids with grid-forming inverters under parametric uncertainties by developing a nonlinear observer framework that uses residuals within a mixed optimization. It introduces OL and QB conditions to form less conservative LMIs for observer gains, enabling robust disturbance rejection while remaining sensitive to internal faults such as busbar, actuator, and inverter-bridge faults. The approach yields a cost-effective solution since no extra sensors are required and supports both droop control and virtual synchronous machine implementations. Numerical tests on a four-GFM islanded microgrid show faster and more reliable fault detection and clearer fault localization than traditional Lipschitz-based designs, with favorable computational requirements. The results indicate practical viability for real-world inverter-dominant microgrids, while also outlining considerations for large-scale capacitive lines and controller variations.

Abstract

Fault detection is vital in ensuring AC microgrids' reliable and resilient operation. Its importance lies in swiftly identifying and isolating faults, preventing cascading failures, and enabling rapid power restoration. This paper proposes a strategy based on observers and residuals for detecting internal faults in grid-forming inverters with power-sharing coordination. The dynamics of the inverters are captured through a nonlinear state space model. The design of our observers and residuals considers conditions to ensure robustness against disturbances and responsiveness to faults. The proposed design is less restrictive than existing observer-based fault detection schemes by leveraging the properties of quadratic inner-boundedness and one-sided Lipschitz conditions. The internal faults considered in this paper include actuator faults, busbar faults, and inverter bridge faults, which are modeled using vector-matrix representations that modify the state space model of the inverters. One significant advantage of the proposed approach is its cost-effectiveness, as it does not require additional sensors. Experiments are conducted on an islanded AC microgrid with three inductive lines, four inductive loads, and four grid-forming inverters to validate the merits of the proposed fault detection strategy. The results demonstrate that our design outperforms existing methods in the field.
Paper Structure (37 sections, 3 theorems, 39 equations, 10 figures, 5 tables)

This paper contains 37 sections, 3 theorems, 39 equations, 10 figures, 5 tables.

Key Result

Lemma 1

Consider the system system-model-with-disturb-faults with a Lipschitz continuous observer defined in luenberger-observer and lipschitz-condition. If exist a gain matrix $L$, strictly positive scalars $\alpha$, $\beta$, $\varepsilon_1$, $\varepsilon_2$, and identical positive definite matrices $Q$ an where $\Omega_1 = \bar{A}^\top P + P\bar{A} + \bar{C}^\top\bar{C} + \varepsilon_1\gamma^2I$, $\Omeg

Figures (10)

  • Figure 1: An islanded droop-controlled AC microgrid test system Bidram2013.
  • Figure 2: Residual norms under busbar fault at the PCC using a one-sided Lipschitz observer: (a) GFM $\#1$ at $t=4$, (b) GFM $\#2$ at $t=5$, (c) GFM $\#3$ at $t=6$, and (d) GFM $\#4$ at $t=7$. The faults are cleared after $0.2$ seconds.
  • Figure 3: Residual norms under an actuator fault corresponding to input $\omega_{ni}$ using a one-sided Lipschitz observer (left column) and Lipschitz observer (right column): (a) and (b) GFM $\#2$ at $t=5$; (c) and (d) GFM $\#4$ at $t=7$. The fault is cleared after $0.2$ seconds.
  • Figure 4: Residual norms under an actuator fault corresponding to input $V_{ni}$ using a one-sided Lipschitz observer (left column) and Lipschitz observer (right column): (a) and (b) GFM $\#1$ at $t=4$; (c) and (d) GFM $\#3$ at $t=6$. The fault is cleared after $0.2$ seconds.
  • Figure 5: Residual norms under an inverter bridge fault (sudden efficiency reduction) using a one-sided Lipschitz observer (left column) and Lipschitz observer (right column): (a) and (b) GFM $\#1$ at $t=4$; (c) and (d) GFM $\#4$ at $t=7$. The fault is cleared after $0.2$ seconds.
  • ...and 5 more figures

Theorems & Definitions (12)

  • Definition 1
  • Lemma 1: see Shoaib2022
  • Definition 2
  • Definition 3
  • Remark 1
  • Theorem 1
  • proof
  • Theorem 2
  • proof
  • Remark 2
  • ...and 2 more