M. J. Carrizosa, F. Dorado-navas, G. Damm, A. Benchaib, F. Lamnabhi-lagarrigue et al., Optimal power flow operation of a multi-terminal HVDC system with renewable sources and storages. 12 th IEEE International conference on Industrial informatics -INDIN 2014 Porto Alegre Vannier and F. Lamnabhi-Lagarrigue, Local and primary controls of a Multi-terminal HVDC grid in an experimental setup, pp.8-10, 2014.

F. Benchaib and . Lamnabhi-lagarrigue, Stability of DC/DC three terminals converter using Modular Multilevel Converters for HVDC systems, 17 th Conference on Power Electronics and Applications, EPE'15-ECCE Europe, pp.8-10, 2015.
URL : https://hal.archives-ouvertes.fr/hal-01316357

M. J. Carrizosa, G. Damm, A. Benchaib, and F. Lamnabhi-lagarrigue, Distributed primary droop control in Multi Terminal High Voltage Direct Current networks, 24 th IEEE lnternational Symposium on Industrial Electronics, 2015.
URL : https://hal.archives-ouvertes.fr/hal-01260397

J. Arrillaga, Y. H. Liu, and N. R. Watson, Flexible Power Transmission. The HVDC Options, 2007.
DOI : 10.1002/9780470511862

G. Asplund, Ultra high voltage transmission. ABB review, 2007.

J. Kreuse, The future is now. ABB review, 2008.

D. Ravemark and B. Normark, Light and invisible. ABB review, 2005.

G. Beck, D. Povh, D. Retzmann, and E. Teltsch, Global blackouts. lessons learned. Siemens review, 2011.

O. A. Mousavi, L. Bizumic, and R. Cherkaoui, Assessment of HVDC grid segmentation for reducing the risk of cascading outages and blackouts . Bulk Power System Dynamics and Control -IX Optimization, Security and Control of the Emerging Power Grid (IREP), 2013 IREP Symposium

M. P. Bahrman, HVDC transmission overview. IEEE/PES Transmission and Distribution Conference and Exposition, 2008.
DOI : 10.1109/tdc.2008.4517304

D. Jovcic, D. Van-hertem, K. Linden, J. Taisne, and W. Grieshaber, Feasibility of DC transmission networks, 2011 2nd IEEE PES International Conference and Exhibition on Innovative Smart Grid Technologies, 2011.
DOI : 10.1109/ISGTEurope.2011.6162829

M. J. Carrizosa, J. Cortés, A. Benchaib, P. Alou, G. Damm et al., VDC/DC converters as DC circuit-breakers in HVDC networks operation, 16th European Conference on, pp.1-10, 2014.

D. Jovcic and B. T. Ooi, Tapping on hvdc lines using dc transformers Electric Power Systems Research, pp.561-569, 2011.
DOI : 10.1016/j.epsr.2010.10.025

V. Collet-billon, J. P. Taisne, V. Arcidiacono, and F. Mazzoldi, The Corsican tapping: from design to commissioning tests of the third terminal of the Sardinia-Corsica-Italy HVDC link, IEEE Transactions on Power Delivery, 1989.

J. Donahuea, D. A. Fisher, B. D. Raling, P. J. Tatro-]-w, J. Long et al., Performance testing of the Sandy Pond HVDC converter, IEEE Transactions on Power Delivery, pp.422-428, 1993.
DOI : 10.1109/61.180364

T. M. Haileselassie, K. Uhlen, and T. Undenland, Control and operation of MT-HVDC for market integrated offshore wind farms, 2010.

P. Kundur, Power systems stability and control, 1993.

S. G. Johansson, G. Asplund, E. Jansson, and R. , Power system stability. benefits with VSC-HVDC transmission systems, CIGRE, 2007.

Y. Chen, J. Dai, G. Damm, and F. Lamnabhi-lagarrigue, Nonlinear control design for a multi-terminal VSC-HVDC system, European Control Conference (ECC), pp.3536-3541, 2013.
URL : https://hal.archives-ouvertes.fr/hal-00826025

A. Lesnicar and R. Marquardt, An innovative modular multilevel converter topology suitable for a wide power range, 2003 IEEE Bologna Power Tech Conference Proceedings,, p.6, 2003.
DOI : 10.1109/PTC.2003.1304403

U. N. Gnanarathna, A. M. Gole, and R. P. Jayasinghe, Efficient modelling of modular multilevel HVDC converters (MMC) on electromagnetic transient simulation programs, IEEE Transactions on, pp.316-324, 2011.

G. Bergna, A. Garces, E. Berne, P. Egrot, A. Arzande et al., A Generalized Power Control Approach in ABC Frame for Modular Multilevel Converter HVDC Links Based on Mathematical Optimization, IEEE Transactions on Power Delivery, vol.29, issue.1, pp.386-394, 2014.
DOI : 10.1109/TPWRD.2013.2279300
URL : https://hal.archives-ouvertes.fr/hal-00916611

G. Ortiz, J. Biela, and J. Kolar, Optimized design of medium frequency transformers with high isolation requirements, IECON 2010, 36th Annual Conference on IEEE Industrial Electronics Society, 2010.
DOI : 10.1109/IECON.2010.5675240

H. Fan and H. Li, igh frequency high efficiency bidirectional DC-Dc converter module design for 10 kVA solid state transformer, Applied Power Electronics Conference and Exposition (APEC), 2010 Twenty- Fifth Annual IEEE, pp.210-215, 2010.
DOI : 10.1109/apec.2010.5433670

T. Lüth, M. M. Merlin, T. C. Green, C. D. Barker, F. Hassan et al., Performance of a DC/AC/DC VSC System to Interconnect HVDC Systems, 10th IET International Conference on AC and DC Power Transmission (ACDC 2012), pp.1-6, 2012.
DOI : 10.1049/cp.2012.1971

R. Hassan, S. Shah, and J. Sun, Review of control methods for HVDC transmission systems, 2013.

A. Benchaib, Control and operation of power network: System of systems approach based on spatio-temporal scales. Memory for authorization to conduct the research, STITS, 2014.

C. D. Barker and R. Whitehouse, Autonomous converter control in a multi-terminal HVDC system, 9th IET International Conference on AC and DC Power Transmission (ACDC 2010), pp.1-5, 2010.
DOI : 10.1049/cp.2010.0988

J. Beerten, D. Van-hertem, and R. Belmans, VSC MTDC systems with a distributed DC voltage control -a power flow approach. PowerTech, IEEE Trondheim, pp.1-6, 2011.

W. Wang and M. Barnes, Power Flow Algorithms for Multi-Terminal VSC-HVDC With Droop Control, IEEE Transactions on Power Systems, vol.29, issue.4, pp.1721-1730, 2014.
DOI : 10.1109/TPWRS.2013.2294198
URL : https://www.escholar.manchester.ac.uk/api/datastream?publicationPid=uk-ac-man-scw:232449&datastreamId=POST-PEER-REVIEW-NON-PUBLISHERS.PDF

J. Beerten, S. Cole, and R. Belmans, Generalized steady-state VSC MTDC model for sequential AC/DC power flow algorithms. Power and Energy Society General Meeting (PES), IEEE, pp.1-1, 2013.

U. Kiliç, K. Ayan, and U. Arifo?gluarifo?glu, Optimizing reactive power flow of HVDC systems using genetic algorithm, International Journal of Electrical Power & Energy Systems, pp.1-12, 2014.

D. G. Luenberger, Optimization by vector space methods, 1969.

M. J. Carrizosa, F. Dorado-navas, G. Damm, and F. Lamnabhi-lagarrigue, Optimal power flow in multi-terminal HVDC grids with offshore wind farms and storage devices, International Journal of Electrical Power & Energy Systems, vol.65, pp.291-298, 2015.
DOI : 10.1016/j.ijepes.2014.10.016
URL : https://hal.archives-ouvertes.fr/hal-01090326

M. Aragüés-penalba, A. Egea-`-alvarez, O. Gomis-bellmunt, and A. Samper, Optimum voltage control for loss minimization in HVDC multi-terminal transmission systems for large offshore wind farms, Electric Power Systems Research, pp.54-63, 2012.
DOI : 10.1016/j.epsr.2012.02.006

A. Chakraborty, S. K. Musunuri, A. K. Srivastava, and A. K. Kondabathini, Integrating STATCOM and Battery Energy Storage System for Power System Transient Stability: A Review and Application, Advances in Power Electronics. 2012. [35] A.J. del Real, A. Arce, and C.Bordons. Combined environmental and economic dispatch of smart grids using distributed model predictive control . Electrical Power and Energy Systems, pp.65-76, 2014.
DOI : 10.1016/S0378-7753(00)00574-7

M. J. Carrizosa, A. Benchaib, P. Alou, and G. Damm, DC transformer for DC/DC connection in HVDC network, 2013 15th European Conference on Power Electronics and Applications (EPE), 2013.
DOI : 10.1109/EPE.2013.6631774
URL : https://hal.archives-ouvertes.fr/hal-00924024

H. Khalil, Nonlinear systems, 2002.

J. Aracil and F. Gómez-estern, Notes of automatic regulation, Dep. Ingeniería Electrónica, E.T.S.I.I, 2000.

A. and C. Figueroa, Some applications of Lyapunov functions for stability problems and existence of invariant manifolds, Departamento de Matemáticas

R. R. Mohler, Nonlinear systems. Applications to Bilinear Control, 1991.

I. D. Landau, On the optimal regulator problem and stabilization of bilinear systems, Laboratoire d'Automatique (CNRS), 1979.

D. L. Elliot, Bilinear Control Systems, 2009.
DOI : 10.1023/b101451

A. Isidori, Nonlinear control systems, 1995.

D. Liberzon, Switching in systems and control, 2003.
DOI : 10.1007/978-1-4612-0017-8

G. Ortiz, J. Biela, D. Bortis, and J. Kolar, 1 MW, 20 kHz, isolated, 1.2-12 kV bidirectional DC-DC renewable converter for energy applications, 2010.

D. Aggeler, J. Biela, and J. W. Kolar, Solid-state transformer based on SiC JFET for future energy distribution systems, ETH Zurich, 2009.

J. Biela, D. Aggeler, D. Bortis, and J. W. Kolar, 5kV/200ns Pulsed Power Switch based on a SiC-JFET Super Cascode, 2008 IEEE International Power Modulators and High-Voltage Conference, pp.358-361, 2008.
DOI : 10.1109/IPMC.2008.4743658

P. Friedrichs, H. Mitlehner, R. Schorner, K. Donhke, R. Elpelt et al., Stacked high voltage switch based on SiC JFETs. ISPSD Cambridge, 2003.
DOI : 10.1109/ispsd.2003.1225249

R. Singhi, Ultra high voltage sic bipolar devices for reduced power electronics complexity, GeneSiC Semiconductor Inc, 2011.

J. W. Palmour, High voltage silicon carbide power devices. ARPA-E Power Technologies Workshop, 2010.

H. Bai, C. Mi, C. Wang, and S. Gargies, The dynamic model and hybrid phase-shift control of a dual-active-bridge converter. Industrial Electronics, 34th Annual Conference of IEEE, pp.2840-2845, 2008.

J. Sebastián, A. Rodríguez, D. G. Lamar, M. M. Hernando, and A. Vázquez, An overall study of a dual active bridge for bidirectional DC/DC conversion. Energy Conversion Congress and Exposition, pp.1129-1135, 2010.

S. Bacha, I. Munteanu, and A. I. Bratcu, Power electronic converters modeling and control, 2014.
DOI : 10.1007/978-1-4471-5478-5
URL : https://hal.archives-ouvertes.fr/hal-00848243

J. G. Kassakian, M. F. Schlecht, and G. C. Verghese, Principles of power electronics, 1991.

V. I. Utkin, Sliding modes in control and optimization, 1992.
DOI : 10.1007/978-3-642-84379-2

G. Anderson, P. Kundur, and V. Vittal, Definition and Classification of Power System Stability, IEEE transactions on power systems, 2004.

M. J. Carrizosa, G. Damm, A. Benchaib, M. Netto, P. Alou et al., Bilinear and nonlinear control algorithms for a DC/DC converter for Multi-Terminal HVDC networks, IFAC World Congress, pp.523-528, 2014.
DOI : 10.3182/20140824-6-ZA-1003.02248
URL : https://hal.archives-ouvertes.fr/hal-01159854

D. Grahame, H. Thomas, and A. Lipo, Pulse width modulation for power converters: principles and practice, 2003.

H. Sira-ramirez, M. Garcia-esteban, and A. S. Zinober, Dynamical adaptive pulse-width-modulation control of DC-to-DC power converters: a backstepping approach, International Journal of Control, vol.36, issue.2, pp.205-222, 1994.
DOI : 10.1080/00207179308934409

M. P. Kazmierkowski, R. Krishnan, and F. Blaabjerg, Pulse width modulation for power converters: principles and practice, 2002.

R. H. Parkvillarejo, G. Venkataramanan, F. Mancilla-david, J. M. Maza-ortega, and A. Goómez-expósito, Two reaction theory of synchronous machines Dynamic modelling and control of a shunt-series power flow controller based on AC-link. IET Generation , Transmission & Distribution, pp.792-802, 1929.

S. Mendel, C. Vogel, and N. Da-dalt, A Phase-Domain All-Digital Phase-Locked Loop Architecture Without Reference Clock Retiming IEEE Transactions on Circuits and Systems II: Express Briefs, pp.860-864, 2009.

N. Kawasaki, H. Nomura, and M. Masuhiro, A new control law of bilinear DC-DC converters developed by direct application of Lyapunov, IEEE Transactions on Power Electronics, vol.10, issue.3, 1995.
DOI : 10.1109/63.387997

D. E. Koditschek and K. Narendra, The controllability of planar bilinear systems, IEEE Transactions on Automatic Control, vol.30, issue.1, pp.87-89, 1985.
DOI : 10.1109/TAC.1985.1103794

J. B. Barras, J. R. Goncalves, O. Rocio, and L. A. San-martín, Controllability of two-dimensional bilinear systems, Proyeciones, pp.111-139, 1996.

V. Ayala, E. Cruz, and W. Kliemann, Controllability of bilinear systems on the projective space, Computer and Mathematics with Applications, 2009.

D. E. Koditschek and K. Narendra, Stability of 2 n d order bilinear systems, IEEE Transactions on Automatic control, 1983.

Y. Chen, J. Dai, G. Damm, and F. Lamnabhi-lagarrigue, Analysis of a control strategy for a multi-terminal VSC-HVDC system, ECC, 2013.

S. Nguefeu, RéseauxRéseauxà courant continu: Twenties, et aprés? Soiré- Débat Club Sysèmes Electriques, 2014.

J. Stevens and D. Rogers, Control of multiple VSC-HVDC converters within an offshore AC-hub. Energytech, IEEE, pp.1-5, 2013.

M. Geidl, G. Koeppel, P. Favre-perrod, B. Klockl, G. Andersson et al., Energy hubs for the future, IEEE Power and Energy Magazine, vol.5, issue.1, 2007.
DOI : 10.1109/MPAE.2007.264850

G. J. Kish, M. Ranjram, and P. W. Lehn, A Modular Multilevel DC/DC Converter With Fault Blocking Capability for HVDC Interconnects, IEEE Transactions on Power Electronics, vol.30, issue.1, 2015.
DOI : 10.1109/TPEL.2013.2295967

L. Harnefors, A. Antonopoulos, S. Norrga, L. Angquist, and H. Nee, Dynamic Analysis of Modular Multilevel Converters, IEEE Transactions on Industrial Electronics, vol.60, issue.7, pp.2526-2537, 2013.
DOI : 10.1109/TIE.2012.2194974

A. Antonopoulos, L. Angquist, L. Harnefors, K. Ilves, and H. Nee, Global asymptotic stability of modular multilevel converters. Industrial Electronics, IEEE Transactions on, issue.2, pp.61603-612, 2014.

A. Antonopoulos, L. Angquist, and H. P. Nee, On dynamics and voltage control of the modular multilevel converter, 13 th European Conference on Power Electronics and Applications EPE '09, pp.1-10, 2009.

E. Jiménez, M. J. Carrizosa, A. Benchaib, G. Damm, and F. Lamnabhi-lagarrigue, A new generalized power flow method for multi connected DC grids, International Journal of Electrical Power & Energy Systems, vol.74
DOI : 10.1016/j.ijepes.2015.07.032

E. Jiménez, M. J. Carrizosa, A. Benchaib, G. Damm, and F. Lamnabhi-lagarrigue, A new generalized power flow method for multi connected single phase AC grids, International Journal of Electrical Power and Energy Systems

P. Hu, D. Jiang, Y. Zhou, Y. Liang, J. Guo et al., Energybalancing control strategy for modular multilevel converters under submodule fault conditions, IEEE Transactions on Power Electronics, pp.5021-5030, 2014.
DOI : 10.1109/tpel.2013.2284919

C. J. Greiner, T. Langeland, J. Solvik, and O. A. Rui, Availability evaluation of multi-terminal DC networks with DC circuit breakers. PowerTech, IEEE Trondheim, pp.1-8, 2011.

W. Grieshaber, DC-breaker prototype: challenges and advances. EWEA workshop. ALSTOM GRID, TWENTIES project, 2012.

M. Ghandhari, D. Van-hertem, J. B. Curis, O. Despouys, and A. Marzin, Protection requirements for a multi-terminal meshed DC grid, CIGRE International Symposium. The electric power system of the future. Integrating supergrids and microgrids location, 2011.

J. Descloux, Protection contre les courts-circuits des réseauxréseauxà courant continu de forte puissance Distributed controllers for multi-terminal HVDC transmission systems, IFAC, 2003.

M. Andreasson, D. V. Dimarogonas, H. Sandberg, and K. H. Johansson, Distributed Controllers for Multi-Terminal HVDC Transmission Systems, IEEE Transactions on Control of Network Systems, 2014.
DOI : 10.1109/TCNS.2016.2535105
URL : http://arxiv.org/abs/1411.1864

M. A. Pai, P. W. Sauer, and K. Khorasani, Singular perturbations and large scale power system stability, The 23rd IEEE Conference on Decision and Control, 1984.
DOI : 10.1109/CDC.1984.272294

S. Ahmed-zaid, P. W. Sauer, and J. R. Winkelman, Higher order dynamic equivalents for power systems, Automatica, vol.22, issue.4, 1986.
DOI : 10.1016/0005-1098(86)90054-3

J. Thomas, S. Poullain, and A. Benchaib, Analysis of a robust DC-bus voltage control system for a VSC transmission scheme, Seventh International Conference on AC and DC Transmission, pp.119-124, 2001.
DOI : 10.1049/cp:20010529

M. J. Carrizosa, G. Damm, A. Benchaib, F. Lamnabhi-lagarrigue, E. Prieto-araujo et al., Distributed primary droop control in multi terminal high voltage direct current networksJunyent-Ferré, and O. Gomis- Bellmunt. Methodology for droop control dynamic analysis of multiterminal VSC-HVDC grids for offshore wind farms, IEEE Transactions on power delivery, pp.2479-2485, 2011.

W. T. Tutte, GRAPH THEORY, Bulletin of the London Mathematical Society, vol.3, issue.2, 2001.
DOI : 10.1112/blms/3.2.253

B. D. Anderson and J. B. Moore, Optimal control-linear quadratic methods, 1989.

P. Rault, Dynamic modelling and control of multi-terminal HVDC grids. Thesis, 2014.

J. M. Mauricio and A. G. Exposito, Modeling and Control of an HVDC-VSC Transmission System, 2006 IEEE/PES Transmission & Distribution Conference and Exposition: Latin America, pp.1-6, 2006.
DOI : 10.1109/TDCLA.2006.311385

E. F. Camacho and C. Bordons, Model predictive control in the process industry, 1995.

D. Limón, Predictive control in nonlinear systems with constraints: stability and robustness. Thesis, 2002.

R. Langella, A. Tesa, and M. Giorgio, Very short-term probabilistic wind power forecasting based on Markov chain models, IEEE 11 th International Conference on Probabilistic Methods Applied to Power Systems (PMAPS), 2010.

S. A. Pourmousavi-kani and M. M. Ardehali, Very short-term wind speed prediction: A new artificial neural network Markov chain model. Energy Conversion and Management, pp.738-745, 2010.

M. J. Carrizosa, F. Dorado-navas, G. Damm, A. Benchaib, and F. Lamnabhi-lagarrigue, Optimal power flow operation of a multiterminal HVDC system with renewable sources and storages, 12 th International Conference on Industrial Informatics, INDIN, 2014.

C. Bajracharya, Control of VSC-HVDC for wind power, 2008.

R. A. Horn and C. R. Johnson, Matrix analysis, 1988.