This work presents a study about dynamic modeling and analysis of DSTATCOM (Distribution Static Synchronous Compensator) devices. The objectives are to analyze the dynamic performance of these devices and mainly present simplified and detailed models. Such study is carried out utilizing the SimPowerSystems for use with Matlab/Simulink. The paper is written as a tutorial, thus, all necessary information to implement the models is explicitly presented. Two application examples of the models developed are discussed. In the first one, the detailed model model is employed to evaluate the influence of the capacitor size on the harmonic generation, whereas a study about the influence of a DSTATCOM on the stability performance of induction generators connected to distribution systems is carried out using the simplified model.162187199Acha, E., Agelidis, V., Anaya-Lara, O., Miller, T., (2002) Power Electronic Control in Electrical Systems, 1 Edn, , NewnesAnaya-Lara, O., Acha, E., Modeling and analysis of custom power systems by PSCAD/EMTDC (2002) IEEE Transactions on Power Delivery, 17 (1), pp. 266-272Chen, C.-T., (1999) Linear System Theory and Design, 3 Edn, , Oxford University PressChoma, K.N., Etezadi-Amoli, M., The application of a DSTATCOM to an industrial facility (2002) IEEE - Power Engineering Society Winter MeetingCustom power - State of the art (2002) Technical Report, , CIGRÉ Working Group 14.31, CIGRÉDommel, H.W., Digital computer solution of electromagnetic transients in single and multiphase networks (1969) IEEE Transaction on Power Apparatus and Systems, 88, pp. 388-399Haque, M.H., Compensation of distribution system voltage sag by DVR and D-STATCOM (2001) IEEE Power Tech ConferenceHingorani, N.G., Introducing custom power (1995) IEEE Spectrum, 31 (6), pp. 41-48Hingorani, N.G., Gyuyi, L., (1999) Understanding FACTS - Concepts and Technology of Flexible AC Transmission Systems, 1 Edn, , Institute of Electrical and Electronic Engineers Press IncJenkins, N., Allan, R., Crossley, P., Kirschen, D., Strbac, G., (2000) Embedded Generation, 1 edn, , Institute of Electrical EngineersJung, S.-Y., Kim, T.-H., Moon, S.-I., Han, B.-M., Analysis and control of DSTATCOM for a line voltage regulation (2002) IEEE - Power Engineering Society Winter MeetingRashid, M.H., (1993) Power Electronics: Circuits, Devices and Applications, 2 Edn, , Prentice-Hall IncSensarma, P.S., Padiyar, K.R., Ramanarayanan, V., Analysis and performance evaluation of a distribution statcom for compensating voltage fluctuations (2001) IEEE Transactions on Power Delivery, 16 (2), pp. 259-264Sobrink, K.H., Jenkins, N., Schettler, F.C.A., Pedersen, J., Pedersen, K.O.H., Bergmann, K., Reactive power compensation of a 24 MW wind farm using a 12-pulse voltage source converter (1998) CIGRÉ International Conference on Large High Voltage Electric SystemsSong, Y.H., Johns, A.T., (1999) Flexible AC Transmission Systems (FACTS), 1 Edn, , Institute of Electrical Engineers(2002) SimPowerSystems User's Guide