@misc{SchifferHansKraletal., author = {Schiffer, Johannes and Hans, Christian A. and Kral, Thomas and Ortega, Romeo and Raisch, J{\"o}rg}, title = {Modelling, Analysis and Experimental Validation of Clock Drift Effects in Low-Inertia Power Systems}, series = {IEEE Transactions on Industrial Electronics}, volume = {64}, journal = {IEEE Transactions on Industrial Electronics}, number = {7}, issn = {1557-9948}, doi = {10.1109/TIE.2016.2638805}, pages = {5942 -- 5951}, abstract = {Clock drift in digital controllers is of great relevance in many applications. Since almost all real clocks exhibit drifts, this applies in particular to networks composed of several individual units, each of which being operated with its individual clock. In the present paper, we demonstrate via extensive experiments on a microgrid in the megawatt range that clock drifts may impair frequency synchronization in low-inertia power systems. The experiments also show that-in the absence of a common clock-the standard model of an inverter as an ideal voltage source does not capture this phenomenon. As a consequence, we derive a suitably modified model of an inverter-interfaced unit that incorporates the phenomenon of clock drifts. By using the derived model, we investigate the effects of clock drifts on the performance of droop-controlled grid-forming inverters with regard to frequency synchronization and active power sharing. The modeling and analysis is validated via extensive experiments on a microgrid in the megawatt range.}, language = {en} } @misc{SchifferKrishnaHansetal., author = {Schiffer, Johannes and Krishna, Ajay and Hans, Christian A. and Raisch, J{\"o}rg and Kral, Thomas}, title = {Steady State Evaluation of Distributed Secondary Frequency Control Strategies for Microgrids in the Presence of Clock Drifts}, series = {25th Mediterranean Conference on Control and Automation}, journal = {25th Mediterranean Conference on Control and Automation}, issn = {2473-3504}, doi = {10.1109/MED.2017.7984168}, pages = {508 -- 515}, abstract = {Secondary frequency control, i.e., the task of restoring the network frequency to its nominal value following a disturbance, is an important control objective in microgrids. In the present paper, we compare distributed secondary control strategies with regard to their behaviour under the explicit consideration of clock drifts. In particular we show that, if not considered in the tuning procedure, the presence of clock drifts may impair an accurate frequency restoration and power sharing. As a consequence, we derive tuning criteria such that zero steady state frequency deviation and power sharing is achieved even in the presence of clock drifts. Furthermore, the effects of clock drifts of the individual inverters on the different control strategies are discussed analytically and in a numerical case study.}, language = {en} }