Model order reduction for transient simulation of active distribution networks

Krylov subspace method for passive reduced‐order modelling of electrical networks

“…A shunt element is modelled as a single L or C. In Let the current injections at certain m buses be the input and the voltages at the same buses be the output. The impedance-form MNA equations of the network can be written as (3). In formulating the network equations, impending branches should be removed and parallel-connected capacitors or series-connected inductors need to be merged into one capacitor or inductor to avoid redundant states.…”

“…In realistic power system studies, as long as the network dynamics are deemed to be non-negligible, the finite-order rational approximations or low-order equivalents of the networks are useful. They offer low-cost approaches to power system electromagnetic transient (EMT) simulation [3], transient stability and EMT hybrid simulation [4], and small signal analysis [5]. Network resonance and harmonic analysis can also be performed in a more convenient way [6,7].…”

Synchronisation mechanism and interfaces design of multi‐FPGA‐based real‐time simulator for microgrids

“…The real‐time transient simulation framework of microgrids can be classified into two categories: nodal analysis and state‐space analysis [15–17]. Relative to state‐space analysis, nodal analysis has the advantages of availability for a large number of validated models specific to power system studies.…”

Active Distribution Networks Implications on Transmission System Stability

“…The primary challenge for achieving these equivalents is a large number of cases that must be performed in advance to obtain a robust equivalent. Wang et al (2015) propose a model order reduction method based on Krylov subspace theory to reduce the overall model scale of the distribution system. In this case, it is not necessary to run several power flow cases.…”