, 84 6.2.1 Model of buck-boost converter with a CPL, System Model

. .. , Stability analysis of the systems zero dynamics, p.85

.. .. Ida-pbc-design, , vol.87

I. Adaptive, Using an Immersion and Invariance Power Estimator

, 90 6.5.2 IDA-PBC vs PD: Phase plots and transient response, 91 6.5.3 Adaptive IDA-PBC with time-varying

.. .. Summary,

, Technical Appendices of the Chapter

C. Explicit and .. .. ,

E. Values,

, Damping Injection on a Small-scale, DC Power System 101

. .. Problem-formulation, 102 7.2.1 Description of the system without the shunt damper, vol.102

. .. Main-results, , vol.108

. .. Numerical-simulations,

. .. Experimental-validation, 110 7.6.1 Experiment 1: system without the shunt damper, p.117

.. .. Summary,

, Technical Appendices of the Chapter

V. Ajjarapu and C. Christy, The continuation power flow: a tool for steady state voltage stability analysis, IEEE Transactions on Power Systems, vol.7, pp.416-423, 1992.

A. Alonso and B. Ydstie, Stabilization of distributed systems using irreversible thermodynamics, Automatica, vol.37, pp.1739-1755, 2001.

S. Anand and B. Fernandes, Reduced-Order Model and Stability Analysis of Low-Voltage DC Microgrid, IEEE Transactions on Industrial Electronics, vol.60, pp.5040-5049, 2013.

P. Anderson and A. Fouad, Power System Control and Stability, J.Wiley & Sons, 2002.

A. Araposthatis, A. Sastry, and P. Varaiya, Analysis of power-flow equation, International Journal of Electrical Power & Energy Systems, vol.3, pp.115-126, 1981.

M. Arcak, C. Meissen, and A. Packard, Networks of dissipative systems: compositional certification of stability, performance, and safety, vol.12, 2016.

D. Ariyasinghe and D. Vilathgamuwa, Stability analysis of microgrids with constant power loads, IEEE International Conference on Sustainable Energy Technologies, pp.279-284, 2008.

A. Astolfi, D. Karagiannis, and R. Ortega, Nonlinear and Adaptive Control with Applications, vol.89, p.83, 2008.

N. Barabanov, R. Ortega, R. Griñó, and B. Polyak, On existence and stability of equilibria of linear time-invariant systems with constant power loads, IEEE Transactions on Circuits and Systems I: Regular Papers, vol.63, p.82, 2016.
URL : https://hal.archives-ouvertes.fr/hal-01632549

M. Belkhayat, R. Cooley, and A. Witulski, Large signal stability criteria for distributed systems with constant power loads, Power Electronics Specialists Conference, 1995. PESC '95 Record, vol.2, pp.1333-1338, 1995.

D. Bertsimas and J. Tsitsiklis, Introduction to Linear Programming, Athena Scientific, vol.46, 1997.

N. Biggs, Algebraic graph theory, 1993.

B. Bollobás, Modern graph theory, 1998.

S. Bolognani and S. Zampieri, On the existence and linear approximation of the power flow solution in power distribution networks, IEEE Trans. Power Syst, vol.31, pp.163-172, 2016.

B. Bose, Global warming: Energy, environmental pollution, and the impact of power electronics, IEEE Industrial Electronics Magazine, vol.4, pp.6-17, 2010.

R. Brayton and J. Moser, A theory of nonlinear networks. I, Quarterly of Applied Mathematics, vol.22, pp.1-33, 1964.

L. Bregman, The relaxation method of finding the common point of convex sets and its application to the solution of problems in convex programming, USSR Computational Mathematics and Mathematical Physics, vol.7, issue.3, pp.200-217, 1967.

F. Bullo, Lectures on Network Systems, vol.60, p.57, 2018.

M. Carmeli, D. Forlani, S. Grillo, R. Pinetti, E. Ragaini et al., A stabilization method for DC networks with constant-power loads, IEEE International Energy Conference and Exhibition (ENERGYCON), pp.101-104, 2012.

K. Cavanagh, J. Belk, and K. Turitsyn, Transient stability guarantees for ad hoc DC microgrids, IEEE Control Systems Letters, vol.2, issue.1, pp.139-144, 2017.

M. Cespedes, L. Xing, and J. Sun, Constant-Power Load System Stabilization by Passive Damping, IEEE Transactions on Power Electronics, vol.26, pp.1832-1836, 2011.

G. Cezar, R. Rajagopal, and B. Zhang, Stability of interconnected DC converters, IEEE 54th Annual Conference on Decision and Control (CDC), p.77, 2015.

H. Chiang and M. Baran, On the existence and uniqueness of load flow solution for radial distribution power networks, IEEE Trans. Circuits Syst, vol.37, pp.410-416, 1990.

R. Cisneros, F. Mancilla, and R. Ortega, Passivity-Based Control of a Grid-Connected Small-Scale Windmill With Limited Control Authority, IEEE Journal of Emerging and Selected Topics in Power Electronics, vol.1, p.107, 2013.
URL : https://hal.archives-ouvertes.fr/hal-00927753

M. Coste, An Introduction to Semialgebraic Geometry, vol.58, 2002.

M. Cucuzzella, S. Trip, C. De-persis, X. Cheng, A. Ferrara et al., A Robust Consensus Algorithm for Current Sharing and Voltage Regulation in DC Microgrids, IEEE Transactions on Control Systems Technology, p.52, 2018.

. Bibliography,

J. Danskin, The Theory of Max-Min, with Applications, SIAM Journal on Applied Mathematics, vol.14, pp.641-664, 1966.

G. Dantzig, Linear Programming and Extensions, vol.46, 1966.

S. Davis and K. Caldeira, Consumption-based accounting of CO2 emissions, Proceedings of the National Academy of Sciences, vol.107, pp.5687-5692, 2010.

C. De-persis, E. Weitenberg, and F. Dörfler, A power consensus algorithm for DC microgrids, Automatica, vol.89, pp.364-375, 2018.

C. Desoer and E. Kuh, Basic Circuit Theory, p.13, 1969.

C. Desoer and M. Vidyasagar, Feedback Systems: Input-Output Properties. SIAM, issue.11, 2009.

T. Dragi?evi?, X. Lu, J. C. Vasquez, and J. M. Guerrero, DC Microgrids-Part I: A Review of Control Strategies and Stabilization Techniques, IEEE Transactions on Power Electronics, vol.31, pp.4876-4891, 2016.

K. Dvijotham, H. Nguyen, and K. Turitsyn, Solvability regions of affinely parameterized quadratic equations, IEEE Control Systems Letters, vol.2, issue.1, pp.25-30, 2017.

M. Dyer, B. Gärtner, N. Megiddo, and E. Welzl, Linear Programming, Handbook of Discrete and Computational Geometry, vol.46, 2018.

O. Ellabban, H. Abu-rub, and F. Blaabjerg, Renewable energy resources: Current status, future prospects and their enabling technology, Renewable and Sustainable Energy Reviews, vol.39, pp.748-764, 2014.

A. Elsayed, A. Mohamed, and O. Mohammed, DC Microgrids and Distribution Systems: An Overview, Electric Power Systems Research, vol.119, pp.407-417, 2015.

A. Emadi, A. Khaligh, C. Rivetta, and G. Williamson, Constant power loads and negative impedance instability in automotive systems: definition, modeling, stability, and control of power electronic converters and motor drives, IEEE Transactions on Vehicular Technology, vol.55, issue.4, pp.1112-1125, 2006.

S. Fiaz, D. Zonetti, R. Ortega, J. Scherpen, A. Van-der et al., A port-Hamiltonian approach to power network modeling and analysis, European Journal of Control, vol.19, pp.477-485, 2013.

J. Glover, M. Sarma, and T. Overbye, Power system analysis and design, 2011.

D. Gross, C. Arghir, and F. Dörfler, On the steady-state behavior of a nonlinear power system model, Automatica, vol.90, pp.248-254, 2018.

J. M. Guerrero, J. C. Vasquez, J. Matas, L. D. Vicuña, and M. Castilla, Hierarchical control of droop-controlled AC and DC microgrids-A general approach toward standardization, IEEE Transactions on industrial electronics, vol.58, p.109, 2011.

P. Hartman, Ordinary Differential Equations. Birkhäuser, vol.42, pp.59-61, 1982.

W. He, R. Ortega, R. Cisneros, F. Mancilla, and S. Li, Passivity-based control for DC-DC power converters with a constant power load, 2017.

D. Hill, Nonlinear dynamic load models with recovery for voltage stability studies, IEEE transactions on power systems 8.1 (1993), pp.166-176

S. Huddy and J. Skufca, Amplitude death solutions for stabilization of dc microgrids with instantaneous constant-power loads, IEEE Transactions on Power Electronics, vol.28, pp.247-253, 2013.

A. Isidori, Nonlinear Control Systems, 1995.

A. Isidori, Nonlinear control systems, 2013.

B. Jayawardhana, R. Ortega, E. García-canseco, and F. Castaños, Passivity of nonlinear incremental systems: Application to PI stabilization of nonlinear RLC circuits, Systems & Control Letters, vol.56, pp.67-69, 2007.
URL : https://hal.archives-ouvertes.fr/hal-00268715

D. Jovcic, D. Van-hertem, K. Linden, J. Taisne, and W. Grieshaber, Feasibility of DC Transmission Networks, Proc. 2nd IEEE Power Energy Soc. Int. Conf. and Exhibit. Innovative Smart Grid Technol, p.39, 2011.

J. Keenan, Availability and irreversibility in thermodynamics, British Journal of Applied Physics, vol.2, issue.7, p.67, 1951.

A. Kettner and M. Paolone, A Generalized Index for Static Voltage Stability of Unbalanced Polyphase Power Systems including Thévenin Equivalents and Polynomial Models, IEEE Transactions on Power Systems, 2019.

A. Khaligh, A. M. Rahimi, and A. Emadi, Modified pulse-adjustment technique to control DC/DC converters driving variable constant-power loads, IEEE Trans. on Ind. Electron, vol.55, pp.1133-1146, 2008.

H. Khalil, Nonlinear Systems, 2002.

H. Kim, S. Kang, G. Seo, P. Jang, and B. Cho, Large-Signal Stability Analysis of DC Power System With Shunt Active Damper, IEEE Transactions on Industrial Electronics, vol.63, pp.6270-6280, 2016.

P. Kundur, Power system stability and control, 1994.

P. Kundur, Definition and classification of power system stability, IEEE Transactions on Power Systems, vol.19, pp.1387-1401, 2004.

K. Kurdyka, P. Orro, and S. Simon, Semialgebraic Sard Theorem for Generalized Critical Values, Journal of Differential Geometry, vol.56, pp.67-92, 2000.

A. Kwasinski and C. Onwuchekwa, Dynamic Behavior and Stabilization of DC Microgrids With Instantaneous Constant-Power Loads, IEEE Transactions on Power Electronics, vol.26, pp.822-834, 2011.

A. Kwasinski and P. Krein, Stabilization of constant power loads in DC-DC converters using passivity-based control, Proc. 29th Int. Telecommun. Energy Conf, vol.83, pp.867-874, 2007.

D. Langarica, R. Ortega, and D. Casagrande, Transient stabilization of multimachine power systems: Towards a global decentralized solution, European Journal of Control, vol.26, pp.44-52, 2015.
URL : https://hal.archives-ouvertes.fr/hal-01338728

R. Lasseter, Microgrids, IEEE Power Engineering Society Winter Meeting, vol.1, pp.305-308, 2002.

F. Lima, M. L. Nunes, and J. Cunha, Energy indicators framework and climate change policy implications, IEEE 14th International Conference on the European Energy Market (EEM), 2017.

J. Linares-flores, A. Hernández-méndez, C. Garca-rodríguez, and H. Sira-ramrez, Robust nonlinear adaptive control of a boost converter via algebraic parameter identification, IEEE Trans. Ind. Electron, vol.61, pp.4105-4114, 2014.

P. Löf, D. Hill, S. Arnborg, and G. Andersson, On the Analysis of Long-Term Voltage Stability, International Journal of Electrical Power & Energy Systems, vol.15, pp.229-237, 1993.

J. E. Machado, J. Arocas-pérez, W. He, R. Ortega, and R. Griñó, Active Damping of a DC Network with a Constant Power Load: An Adaptive Passivity-based Control Approach, Congreso Nacional de Control Automático (CNCA), 2018.

J. Machowski, J. Bialek, and J. Bumby, Power system dynamics: stability and control, J.Wiley & Sons, vol.15, pp.136-138, 2008.

P. Magne, B. Nahid-mobarakeh, and S. Perfedierici, A design method for a fault-tolerant multi-agent stabilizing system for DC microgrids with constant power loads, IEEE Transportation and Electrification Conference and Expo (ITEC), 2012.

D. Marx, P. Magne, B. Nahid-mobarakeh, S. Pierfederici, and B. Davat, Large signal stability analysis tools in DC power systems with constant power loads and variable power loads-A review, IEEE Transactions on Power Electronics, vol.27, pp.1773-1787, 2012.

B. Maschke, R. Ortega, A. Van-der, and . Schaft, Energy-Based Lyapunov Functions for Forced Hamiltonian Systems with Dissipation, IEEE Transactions on Automatic Control, vol.45, p.67, 2000.

Y. Massaoudi, E. Dorsaf, and J. P. Gaubert, Experimental implementation of new sliding mode control law applied to a DC-DC boost converter, Asian Journal of Control, vol.18, pp.2221-2233, 2016.

M. Mesbahi and M. Egerstedt, Graph theoretic methods in multiagent networks, vol.33, 2010.

D. Molzahn, B. Lesieutre, and C. Demarco, A sufficient condition for power flow insolvability with applications to voltage stability margins, IEEE Transactions on Power Systems, vol.28, pp.2592-2601, 2013.

D. Molzahn and I. Hiskens, A survey of relaxations and approximations of the power flow equations, Foundations and Trends R in Electric Energy Systems, vol.4, pp.1-221, 2019.

N. Monshizadeh, P. Monshizadeh, R. Ortega, A. Van-der, and . Schaft, Conditions on Shifted Passivity of Port-Hamiltonian Systems, 2018.
URL : https://hal.archives-ouvertes.fr/hal-02418664

P. Monshizadeh, C. De-persis, N. Monshizadeh, A. Van-der, and . Schaft, Nonlinear analysis of an improved swing equation, IEEE 55th Conference on Decision and Control (CDC), vol.79, p.78, 2016.

P. Monshizadeh, C. De-persis, T. Stegink, N. Monshizadeh, A. Van-der et al., Stability and Frequency Regulation of Inverters with Capacitive Inertia, p.78, 2017.

P. and M. Naini, Modeling and control of power systems in microgrids, 2018.

H. , Optimal DC-Link Stabilization Design, IEEE Transactions on Industrial Electronics, vol.62, pp.5031-5044, 2015.

H. , Optimal stabilization of constant power loads with input LCfilters, Control Engineering Practice, vol.27, pp.61-73, 2014.

R. Ortega and E. Garcia-canseco, Interconnection and damping assignment passivity-based control: A survey, European Journal of Control, vol.10, pp.432-450, 2004.

R. Ortega, A. Van-der-schaft, B. Maschke, and G. Escobar, Interconnection and damping assignment passivity-based control of port-controlled Hamiltonian systems, Automatica, vol.38, p.67, 2002.

R. Ortega, A. Loría, P. J. Nicklasson, and H. Sira-ramirez, Passivity-Based Control of Euler-Lagrange Systems: Mechanical, Electrical and Electromechanical Applications. Communications and Control Engineering, vol.86, p.83, 1998.

R. Ortega, A. Van-der-schaft, I. Mareels, and B. Maschke, Putting energy back in control, IEEE Control Systems, vol.21, pp.18-33, 2001.

A. Pavlov and L. Marconi, Incremental passivity and output regulation, Systems & Control Letters, vol.57, pp.400-409, 2008.

B. Polyak, Convexity of quadratic transformations and its use in control and optimization, Journal of Optimization Theory and Applications, vol.99, pp.553-583, 1998.

R. Quadrelli and S. Peterson, The energy-climate challenge: recent trends in CO 2 emissions from fuel combustion, Energy policy, vol.35, pp.5938-5952, 2007.

A. Rahimi and A. Emadi, Active damping in DC/DC power electronic converters: A novel method to overcome the problems of constant power loads, IEEE Trans. Ind. Electron, vol.56, pp.1428-1439, 2009.

A. Rahimi, G. Williamson, and A. Emadi, Loop-cancellation technique: A novel nonlinear feedback to overcome the destabilizing effect of constantpower loads, IEEE Trans. Veh. Technol, vol.59, pp.650-661, 2010.

S. Rahman and A. De-castro, Environmental impacts of electricity generation: A global perspective, IEEE Transactions on energy Conversion, vol.10, pp.307-314, 1995.

S. Sanchez, R. Ortega, R. Griñó, G. Bergna, and M. Molinas, Conditions for existence of equilibrium points of systems with constant power loads, IEEE Transactions on Circuits and Systems I: Regular Papers, vol.61, pp.2204-2211, 2014.
URL : https://hal.archives-ouvertes.fr/hal-00929992

S. Sanchez, A. Garces, G. Berna, and E. Tedeschi, Dynamics and Stability of Meshed Multiterminal HVDC Networks, vol.51, 2018.

A. Van-der and . Schaft, L 2 -Gain and Passivity Techniques in Nonlinear Control, Springer Communications, and Control Engineering series, 2017.

A. Van-der and . Schaft, L 2 -gain and passivity techniques in nonlinear control, 2000.

A. Van-der-schaft and D. Jeltsema, Port-Hamiltonian Systems Theory: An Introductory Overview, Now Foundations and Trends, 2014.

J. Schiffer, Stability and Power Sharing in Microgrids, 2015.

J. Schiffer, J. Zonetti, R. Ortega, A. Stankovi?, T. Seizi et al., A survey on modeling of microgrids-From fundamental physics to phasors and voltage sources, Automatica, vol.74, pp.135-150, 2016.
URL : https://hal.archives-ouvertes.fr/hal-01633758

. Bibliography,

J. Schiffer, P. Aristidou, and R. Ortega, Online Estimation of Power System Inertia Using Dynamic Regressor Extension and Mixing, IEEE Transactions on Power Systems, 2019.
URL : https://hal.archives-ouvertes.fr/hal-02419404

J. Schiffer, T. Seel, J. Raisch, and T. Sezi, Voltage Stability and Reactive Power Sharing in Inverter-Based Microgrids With Consensus-Based Distributed Voltage Control, IEEE Trans. Contr. Sys. Techn, vol.24, p.15, 2016.

A. Schrijver, Theory of Linear and Integer Programming, vol.46, 1998.

R. Sepulchre, M. Jankovic, and P. Kokotovic, Constructive Nonlinear Control, p.98, 1997.

R. Sepulchre, M. Jankovic, and P. Kokotovic, Constructive nonlinear control, vol.121, 2012.

J. Simpson-porco, A theory of solvability for lossless power flow equations-Part I: Fixed-point power flow, IEEE Transactions on Control of Network Systems, vol.5, pp.1361-1372, 2017.

J. Simpson-porco, A theory of solvability for lossless power flow equations-Part II: Conditions for radial networks, IEEE Transactions on Control of Network Systems, vol.5, pp.1373-1385, 2017.

J. Simpson-porco, Distributed Control of Inverter-Based Power Grids, 2015.

J. Simpson-porco, F. Dörfler, and F. Bullo, On Resistive Networks of Constant-Power Devices, IEEE Transactions on Circuits and Systems II, vol.62, pp.811-815, 2015.

J. Simpson-porco, F. Dörfler, and F. Bullo, On resistive networks of constantpower devices, IEEE Transactions on Circuits and Systems II: Express Briefs, vol.62, pp.811-815, 2015.

J. Simpson-porco, F. Dörfler, and F. Bullo, Voltage Collapse in Complex Power Grids, Nature communications, vol.7, p.49, 2016.

S. Singh, A. Gautam, and D. Fulwani, Constant power loads and their effects in DC distributed power systems: A review, Renewable and Sustainable Energy Reviews, vol.72, pp.407-421, 2017.

S. Singh, A. Gautam, and D. Fulwani, Constant power loads and their effects in DC distributed power systems: A review, Renewable and Sustainable Energy Reviews, vol.72, pp.407-421, 2017.

S. Singh, N. Rathore, and D. Fulwani, Mitigation of negative impedance instabilities in a DC/DC buck-boost converter with composite load, Journal of Power Electronics, vol.16, pp.1046-1055, 2016.

H. Sira-ramirez, R. Perez-moreno, R. Ortega, and M. Garcia-esteban, Passivitybased controllers for the stabilization of DC-to-DC power converters, vol.33, pp.499-513, 1997.

H. Sira-ramirez, A. Hernández-méndez, J. Linares-flores, and A. Luviano-jurez, Robust flat filtering DSP based control of the boost converter, Control Theory Technology, vol.14, pp.224-236, 2016.

H. Smith, Monotone Dynamical Systems: An Introduction to the Theory of Competitive and Cooperative Systems, vol.42, p.59, 2008.

J. Szarski, Differential Ineqialities. Pa?stwowe Wydawnictwo Naukowe, p.66, 1967.

A. Tahri, H. E. Fadil, and F. Giri, Nonlinear adaptive control of a hybrid fuel cell power system for electric vehicles-a Lyapunov stability based approach, Asian Journal of Control, vol.18, pp.166-177, 2016.

S. Trip, M. Cucuzzella, C. De-persis, A. Ferrara, and J. Scherpen, Robust load frequency control of nonlinear power networks, International Journal of Control, pp.1-14, 2018.

F. Uhlig, A recurring theorem about pairs of quadratic forms and extensions: A survey, Linear Algebra and its Applications, vol.25, pp.219-237, 1979.

T. Van-cutsem and C. Vournas, Voltage Stability of Electric Power Systems, 2007.

D. Van-hertem and M. Ghandhari, Multi-Terminal VSC HVDC for the European Supergrid: Obstacles, Renewable and Sustainable Energy Reviews, vol.14, pp.3156-3163, 2010.

V. Venikov, V. Stroev, V. Idelchick, and V. Tarasov, Estimation of Electrical Power System Steady-State Stability in Load Flow Calculations, IEEE Transactions on Power Apparatus and Systems, vol.94, pp.1034-1041, 1975.

D. Vilathgamuwa, X. Zhang, S. Jayasinghe, B. Bhangu, C. Gajanayake et al., Virtual resistance based active damping solution for constant power instability in AC microgrids, IECON 2011-37th Annual Conference of the IEEE Industrial Electronics Society, pp.3646-3651, 2011.

C. Wang, A. Bernstein, J. L. Boudec, and M. Paolone, Explicit conditions on existence and uniqueness of load-flow solutions in distribution networks, IEEE Transactions on Smart Grid, vol.9, pp.953-962, 2018.

J. Wang, S. Li, Y. J. , B. Wu, and Q. Li, Extended state observer-based sliding mode control for PWM-based DC-DC buck power converter systems with mismatched disturbances, IET Control Theory & Applications, vol.9, pp.579-586, 2015.

J. X. Wang, C. L. Zhang, S. Li, J. Yang, and Q. Li, Finite-time output feedback control for PWM-based DC-DC buck power converters of current sensorless mode, IEEE Trans. on Control Systems Technology, vol.25, pp.1359-1371, 2017.

Z. Wang, B. Cui, and J. Wang, A necessary condition for power flow insolvability in power distribution systems with distributed generators, IEEE Transactions on Power Systems, vol.32, pp.1440-1450, 2016.

. Bibliography,

M. Wu and D. Lu, A Novel Stabilization Method of LC Input Filter With Constant Power Loads Without Load Performance Compromise in DC Microgrids, IEEE Transactions on Industrial Electronics, vol.62, pp.4552-4562, 2015.

C. Zhang, J. Wang, S. Li, C. B. Wu, and . Qian, Robust control for PWMbased DC-DC buck power converters with uncertainty via sampled-data output feedback, IEEE Trans. on Power Electron, vol.30, pp.504-515, 2015.

X. Zhang, X. Ruan, H. Kim, and K. Chi, Adaptive active capacitor converter for improving stability of cascaded DC power supply system, IEEE Transactions on Power Electronics, vol.28, pp.1807-1816, 2013.

J. Zhou and Y. Ohsawa, Improved Swing Equation and Its Properties in Synchronous Generators, Circuits and Systems I: Regular Papers, vol.56, pp.200-209, 2009.

D. Zonetti, Energy-based modelling and control of electric power systems with guaranteed stability properties, 2016.
URL : https://hal.archives-ouvertes.fr/tel-01321857

D. Zonetti and R. Ortega, Control of HVDC transmission systems: From theory to practice and back, Mathematical Control Theory I: Nonlinear and Hybrid Control Systems, pp.153-177, 2015.
URL : https://hal.archives-ouvertes.fr/hal-01261947

J. E. Machado, R. Griñó, N. Barabanov, R. Ortega, and B. Polyak, On Existence of Equilibria of Multi-Port Linear AC Networks With Constant-Power Loads, IEEE Transactions on Circuits and Systems I: Regular Papers, vol.64, pp.2772-2782, 2017.
URL : https://hal.archives-ouvertes.fr/hal-01816358

R. J2-wei-he, J. E. Ortega, S. Machado, and . Li, An Adaptive Passivity-Based Controller of a Buck-Boost Converter With a Constant Power Load, Asian Journal of Control, vol.21, issue.2, pp.1-15, 2018.

J. E. J3-pooya-monshizadeh, R. Machado, A. Ortega, . Van-der, and . Schaft, Power-Controlled Hamiltonian Systems: Application to Electrical Systems with Constant Power Loads, Automatica, 2019.

A. Matveev, J. E. Machado, R. Ortega, J. Schiffer, and A. Pyrkin, On the Existence and Long-Term Stability of Voltage Equilibria in Power Systems with Constant Power Loads, IEEE Transactions on Automatic Control, 2019.