Tzounas, GeorgiosGeorgiosTzounasDassios, Ioannis K.Ioannis K.DassiosMilano, FedericoFedericoMilano2024-04-252024-04-252022 The A2022-10Electric Power Systems Research0378-7796http://hdl.handle.net/10197/25756The paper focuses on the accuracy and stability of implicit numerical methods when utilized for the Time Domain Integration (TDI) of power systems with inclusion of time delays. In particular, a small-disturbance analysis technique is proposed to evaluate the numerical distortion that TDI methods induce to the dynamic modes of power systems modeled as Delay Differential Algebraic Equations (DDAEs). The case study illustrates the features of the proposed technique through simulations conducted using the IEEE 14-bus test system, and considering three examples of implicit integration methods, namely Backward Euler Method (BEM), Implicit Trapezoidal Method (ITM), and 2-stage Radau IIA.enTime delaysDelay Differential Algebraic Equations (DDAEs)Time Domain Integration (TDI)Implicit numerical methodsNumerical stability and accuracyJournal Article2111710.1016/j.epsr.2022.1082662023-09-2015/IA/3074883710https://creativecommons.org/licenses/by/3.0/ie/