Accelerating the computation of critical eigenvalues with parallel computing techniques

Abstract

Abstract-Eigenanalysis of power systems is frequently used to study the effect and tune the response of existing controllers, or to guide the design of new controllers. However, recent developments in the area lead to the necessity of studying larger power system models, resulting from the interconnection of transmission networks or the joint consideration of transmission and distribution networks. Moreover, these models include new types of controls, mainly based on power electronic interfaces, which are expected to provide significant support in the future. The consequence is that the size and complexity of these models challenge the computational efficiency of existing eigenanalysis methods. In this paper, a procedure is proposed that uses domain decomposition and parallel computing methods, to accelerate the computation of eigenvalues in a selected region of the complex plane with iterative eigenanalysis methods. The proposed algorithm is validated on a small transmission system and its performance is assessed on a large-scale, combined transmission and distribution system.

Evaluation of MATPOWER and OpenDSS load flow calculations in power systems using parallel computing

“…The use of multi‐core computing in studies related to power systems is a natural approach given the capabilities of the software tools used in the simulation of power systems and the nature of the analysed problems. In recent years many important works have been conducted on the application of parallel computing to power systems analysis; see [4–9].…”

Adaptive critical eigenvalues tracing via projected continuation of invariant subspace

“…As a result, it is not suitable to directly apply these algorithms to critical eigenvalues tracing, which is a procedure for the calculation of critical eigenvalues on multiple equilibriums. Implicitly restarted Arnoldi (IRA) – with proper matrix transformation [8, 9] or Kryrov subspace dimension switching strategy [10, 11] – is one such algorithm. Here repeating IRA at multiple equilibriums for critical eigenvalues tracing is referred to as the direct approach.…”