Time Domain Simulation of DFIG-Based Wind Power System using Differential Transform Method

TL;DR

This paper introduces a novel non-iterative time-domain simulation method using Differential Transform Method (DTM) for DFIG-based wind power systems, enabling efficient solutions of complex non-linear DAEs without higher-order derivatives.

Contribution

The paper presents a new application of DTM and MsDTM to simulate wind power systems, improving computational efficiency and convergence over traditional methods.

Findings

DTM provides accurate series solutions for non-linear DAEs.

The proposed method outperforms RK-4 in numerical simulations.

Series convergence is enhanced with multi-step DTM.

Abstract

This paper proposes a new non-iterative time-domain simulation approach using Differential Transform Method (DTM) to solve the set of non-linear Differential-Algebraic Equations (DAEs) involved in a DFIG-based wind power system. The DTM is an analytical as well as numerical approach applied to solve high dimensional non-linear dynamical systems and the solution can be expressed in the form of a series. In this approach, there is no need to compute higher-order derivatives as DAEs are converted into a set of linear equations after applying transformation rules so that the power series coefficients can be computed directly. The transformation rules are used to transform power system models of various devices, such as induction generator, wind turbine, rotor and grid side converter, which includes trigonometric, square root, exponential functions etc. Further, to increase the interval of convergence for the series solutions, the multi-step DTM (MsDTM) approach is used. The numerical performance of the proposed approach is compared with the traditional numerical RK-4 method to demonstrate the potential of the proposed approach in solving power system non-linear DAEs