#### DMCA

## Further results on distributed secondary control in microgrids (2013)

Venue: | in IEEE Conf. on Decision and Control |

Citations: | 3 - 2 self |

### Citations

1010 |
Power System Stability and Control.
- Kundur
- 1993
(Show Context)
Citation Context ... 0 and the phase shift θi ∈ S of a harmonic voltage solution to the AC power flow equations. The active electrical power Pe,i ∈ R injected into the network at node i ∈ {1, . . . , n} is then given by =-=[17]-=- Pe,i(θ) = ∑n j=1 EiEj |Yij | sin(θi − θj) . (2) Each load i ∈ VL demands a constant amount of active power P ∗i and must satisfy the power balance equation 0 = P ∗i − Pe,i(θ) , i ∈ VL . (3) The frequ... |

88 | Algebraic potential theory on graphs - Biggs - 1997 |

80 | defining control strategies for microgrids islanded operation",
- Lopes, Moreira, et al.
- 2006
(Show Context)
Citation Context ...ia power electronic DC/AC inverters. In islanded operation, it is through these inverters that actions must be taken to ensure synchronization, security, power balance and load sharing in the network =-=[3]-=-. The so-called primary droop controllers have been used successfully to achieve these tasks, see [3]–[9]. For inductive lines, the controller balances the active power demands in the network by insta... |

61 |
Control of parallel connected inverters in standalone ac supply systems,”
- Chandorkar, Divan, et al.
- 1993
(Show Context)
Citation Context .../Line Induc. Li [0.7, 0.5] mH Output/Line Resist. Ri [0.14, 0.1] Ω Inv. Ratings (P ) P ∗i = P i [2, 3] kW Load (P ) P ∗0 (t) P ∗ 0 ∈ {−2.5,−5}kW Load (Q) Q∗0(t) Q ∗ 0 ∈ {−.5,−1}kvar ω–Droop Coeff. Di =-=[4, 6]-=- ×10−4 W · s Sec. Droop Coeff. ki 10−9 s Quadratic E–Droop Coeff. Ci [1, 1.5] 10−3 s Quadratic E–Droop Int. Coeff. τi [5, 5] s Observe that the CAPI controlled system (14) is robust and achieves an ac... |

39 |
Hierarchical Control of Droop-Controlled AC and DC Microgrids: A General Approach toward Standardization.
- Guerrero, Vasquez, et al.
- 2011
(Show Context)
Citation Context ...rimary network. Microgrids are able to connect to the wide area electric power system through a Point of Common Coupling (PCC), but are also able to “island” themselves and operate independently [1], =-=[2]-=-. Energy generation within a microgrid can be highly heterogeneous, including photovoltaics, wind, geothermal, micro-turbines, etc. Many of these sources generate either variable frequency AC power or... |

38 | Kron reduction of graphs with applications to electrical networks. arXiv preprint arXiv:1102.2950 - Dorfler, Bullo - 2011 |

37 | An Accurate Power Control Strategy for Power-ElectronicsInterfaced Distributed Generation Units Operation ina Low-Voltage MultibusMicrogrid. - Li, Kao - 2009 |

35 | Synchronization in complex oscillator networks and smart grids - Dörfler, Chertkov, et al. |

27 | Synchronization and power sharing for droop-controlled inverters in islanded microgrids
- Simpson-Porco, Dörfler, et al.
- 2013
(Show Context)
Citation Context ...g the foundation for the operation of parallel inverters, primary-droop-controlled networks of inverters and loads have only recently been subject to a rigorous nonlinear analysis. In the recent work =-=[10]-=-, the authors presented a necessary and sufficient condition for the existence of a unique and locally exponentially stable steady This work was supported in part by the National Science Foundation NS... |

25 |
Control techniques of dispersed generators to improve the continuity of electricity supply
- Barsali, Ceraolo, et al.
- 2002
(Show Context)
Citation Context .../Line Induc. Li [0.7, 0.5] mH Output/Line Resist. Ri [0.14, 0.1] Ω Inv. Ratings (P ) P ∗i = P i [2, 3] kW Load (P ) P ∗0 (t) P ∗ 0 ∈ {−2.5,−5}kW Load (Q) Q∗0(t) Q ∗ 0 ∈ {−.5,−1}kvar ω–Droop Coeff. Di =-=[4, 6]-=- ×10−4 W · s Sec. Droop Coeff. ki 10−9 s Quadratic E–Droop Coeff. Ci [1, 1.5] 10−3 s Quadratic E–Droop Int. Coeff. τi [5, 5] s Observe that the CAPI controlled system (14) is robust and achieves an ac... |

21 |
Distributed Secondary Control for Islanded MicroGrids - A Novel Approach
- Shafiee, Vasquez, et al.
- 2012
(Show Context)
Citation Context ...entralized LMI strategy to ensure stabilization and frequency regulation, while [13] studies the performance of centralized and decentralized frequency-control algorithms based on integral action. In =-=[14]-=- a secondary-control scheme based on all-toall inverter frequency averaging is proposed. These works all represent variations on the theme of secondary control, but share the common disadvantage that ... |

20 |
Parallel operation of single phase inverter modules withno control interconnections",
- Jin
- 1997
(Show Context)
Citation Context ... P ∗ 0 ∈ {−2.5,−5}kW Load (Q) Q∗0(t) Q ∗ 0 ∈ {−.5,−1}kvar ω–Droop Coeff. Di [4, 6] ×10−4 W · s Sec. Droop Coeff. ki 10−9 s Quadratic E–Droop Coeff. Ci [1, 1.5] 10−3 s Quadratic E–Droop Int. Coeff. τi =-=[5, 5]-=- s Observe that the CAPI controlled system (14) is robust and achieves an acceptable transient performance in presence 0.5 1 1.5 2 2.5 3 10 15 20 25 30 Difference Bus Angles Time (s) θ i − θ 0 (d e g ... |

12 | Distributed integral action: Stability analysis and frequency control of power systems
- Andreasson, Sandberg, et al.
- 2012
(Show Context)
Citation Context ...nted in [11] for all-to-all networks controlled by droop-like controllers. In [12] state feedback is combined with a decentralized LMI strategy to ensure stabilization and frequency regulation, while =-=[13]-=- studies the performance of centralized and decentralized frequency-control algorithms based on integral action. In [14] a secondary-control scheme based on all-toall inverter frequency averaging is p... |

9 |
de Vicuña. Control strategy for flexible microgrid based on parallel line-interactive UPS systems
- Guerrero, Vásquez, et al.
(Show Context)
Citation Context ...st be taken to ensure synchronization, security, power balance and load sharing in the network [3]. The so-called primary droop controllers have been used successfully to achieve these tasks, see [3]–=-=[9]-=-. For inductive lines, the controller balances the active power demands in the network by instantaneously changing the frequency ωi of the voltage signal at the ith inverter according to ωi = ω ∗ − ni... |

6 | Voltage stabilization in microgrids using quadratic droop control
- Simpson-Porco, Dörfler, et al.
- 2013
(Show Context)
Citation Context ...show the robustness and transient performance of the CAPI controller (12)-(13) originally proposed in [14]. The voltage magnitude at each inverter is controlled via the quadratic voltage-droop method =-=[20]-=- τiĖi = −CiEi(Ei − E∗i )−Qi, i ∈ VI , , i ∈ {1, 2}, where E∗i > 0 is the nominal voltage magnitude, Ci > 0 (resp. τi > 0) is the proportional (resp. integral) quadratic voltage-droop coefficient, and... |

5 |
On power sharing and stability in autonomous inverter-based microgrids
- Schiffer, Anta, et al.
- 2012
(Show Context)
Citation Context ...ults are foundational to the present work, and are reviewed in Section II. Conservative conditions for stability are presented in [11] for all-to-all networks controlled by droop-like controllers. In =-=[12]-=- state feedback is combined with a decentralized LMI strategy to ensure stabilization and frequency regulation, while [13] studies the performance of centralized and decentralized frequency-control al... |

4 | Voltage stability of weak power distribution networks with inverter connected sources - Wang, Xia, et al. - 2013 |

3 | Power system stability and load sharing in distributed generation - Majumder, Ghosh, et al. - 2008 |