Approximate Kron Reduction Methods for Electrical Networks With Applications to Plug-and-Play Control of AC Islanded Microgrids

Floriduz, Alessandro; Tucci, Michele; Riverso, Stefano; Ferrari-Trecate, Giancarlo

doi:10.1109/tcst.2018.2863645

Cited by 27 publications

(10 citation statements)

References 25 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…It is based on obtaining a reduced plant for each inverter, and then deriving a family of plants Y family (s), that encompasses all the system uncertainties around a nominal plant Y nominal (s). The reduction technique chosen here models each inverter preserving the low-frequency dynamics when it operates in an islanded microgrid [33,34]. The reduced models will facilitate the controller derivation using the well-known robust control design methodology [35][36][37].…”

Section: Microgrid Modelling Proceduresmentioning

confidence: 99%

See 1 more Smart Citation

Maximum current injection method for grid‐forming inverters in an islanded microgrid subject to short circuits

Miret

Castilla

Velasco

et al. 2023

IET Power Electronics

View full text Add to dashboard Cite

In islanded microgrids, when a short circuit or a sudden overload occurs, it provokes an abrupt increment in the currents supplied by the generation nodes, which feed the load collaboratively. This is particularly challenging for inverter‐based nodes, due to its reduced power capacity. This work takes advantage of the droop‐method basic configuration to propose an additional closed‐loop control, which ensures maximum current injection during any kind of short circuit maintaining the underlying droop control. Ensuring that any node injects its maximum rated current during the short circuit, it emulates the most common low‐voltage ride‐through protocols for grid‐feeding sources oriented to support the grid and, in this way, the voltage unbalance is reduced. To develop the control proposal, a model of the faulted system is presented in order to evaluate the stability of the closed‐loop system. A general modelling methodology is introduced in order to derive the control for any microgrid configuration. Finally, selected experimental results are reported in order to validate the effectiveness of the proposed control.

show abstract

Section: Microgrid Modelling Proceduresmentioning

confidence: 99%

“…The first step in this modelling technique is to particularize the linear transfer function (17) for each inverter under different fault conditions and to reduce it to a first-order system [33].…”

Section: Microgrid Modelling Proceduresmentioning

confidence: 99%

Maximum current injection method for grid‐forming inverters in an islanded microgrid subject to short circuits

Miret

Castilla

Velasco

et al. 2023

IET Power Electronics

View full text Add to dashboard Cite

show abstract

“…In practice, the electrical network connecting DG i and DG j is usually more complicated. However, it is reasonable to model each single MG system by using approximate modeling approaches, where the line impedance is modeled as the equivalent impedance of the network 28,29 …”

Section: Problem Formulationmentioning

confidence: 99%

Event‐triggered distributed model predictive control for resilient voltage control of an islanded microgrid

Chen

Teng

2020

Intl J Robust & Nonlinear

View full text Add to dashboard Cite

Summary This article addresses the problem of distributed secondary voltage control of an islanded microgrid (MG) from a cyber‐physical perspective. An event‐triggered distributed model predictive control (DMPC) scheme is designed to regulate the voltage magnitude of each distributed generators (DGs) in order to achieve a better trade‐off between the control performance and communication and computation burdens. By using two novel event triggering conditions that can be easily embedded into the DMPC for the application of MG control, the computation and communication burdens are significantly reduced with negligible compromise of control performance. In addition, to reduce the sensor cost and to eliminate the negative effects of nonlinearity, an adaptive nonasymptotic observer is utilized to estimate the internal and output signals of each DG. Thanks to the deadbeat observation property, the observer can be applied periodically to cooperate with the DMPC‐based voltage regulator. Finally, the effectiveness of the proposed control method has been tested on a simple configuration with four DGs and the modified IEEE‐13 test system through several representative scenarios.

show abstract

“…Afterwards, since existing approaches to instantaneous Kron reduction can fail in preserving the structure of transfer functions representing power lines, ref. [15] proposed two approximate Kron reduction algorithms capable of representing exactly the asymptotic behavior of electric signals. In addition, some improved Kron reduction methods are applied to microgrid reconfiguration [16], distribution systems modeling [17,18], and network dispatching.…”

Section: Introductionmentioning

confidence: 99%

Kron Reduction Based on Node Ordering Optimization for Distribution Network Dispatching with Flexible Loads

Song

Han²,

Wang

et al. 2022

Energies

View full text Add to dashboard Cite

Kron reduction is a general tool of network simplification for flow calculation. With a growing number of flexible loads appearing in distribution networks, traditional Kron reduction cannot be widely used in control and scheduling due to the elimination of controllable and variable load buses. Therefore, this paper proposes an improved Kron reduction based on node ordering optimization whose principles guarantee that all the boundary nodes are retained eventually after eliminating the first row and the first column in every step according to the order, thereby making it possible to take full advantage of their potential to meet different requirements in power system calculation and dispatching. The proposed method is verified via simulation models of IEEE 5-bus and 30-bus systems through illustrating the dynamic consistency of the output active power of the generator nodes and the power flow data of preserved nodes before and after reduction.

show abstract

Approximate Kron Reduction Methods for Electrical Networks With Applications to Plug-and-Play Control of AC Islanded Microgrids

Cited by 27 publications

References 25 publications

Maximum current injection method for grid‐forming inverters in an islanded microgrid subject to short circuits

Maximum current injection method for grid‐forming inverters in an islanded microgrid subject to short circuits

Event‐triggered distributed model predictive control for resilient voltage control of an islanded microgrid

Kron Reduction Based on Node Ordering Optimization for Distribution Network Dispatching with Flexible Loads

Contact Info

Product

Resources

About