Machado Martínez, Juan Eduardo | Lab. Des Signaux Et Systèmes (L2S) – CentraleSupélec |
Arocas-Pérez, José | Univ. Pol. De Cataluny |
He, Wei | Key Lab. of Measurements and Control of Complex Systems Of |
Griño, Robert | Univ. Pol. De Catalunya |
Resumen: This paper proposes a nonlinear, adaptive controller to increase the stability margin of a direct-current (DC) small-scale electrical network containing a constant power load, whose value is unknown. Due to their negative incremental impedance, constant power loads are known to reduce the effective damping of a network, leading to voltage oscillations and even to network collapse. To tackle this problem, we consider the incorporation of a controlled DC-DC power converter between the feeder and the constant power load. The design of the control law for the converter is based on the use of standard Passivity-Based Control and Immersion and Invariance theories. The good performance of the controller is evaluated with numerical simulations.
¿Cómo citar?
Juan E. Machado, José Arocas-Pérez, Wei He, Romeo Ortega & Robert Grinó. Active Damping of a DC Network with a Constant Power Load: An Adaptive Passivity-Based Control Approach. Memorias del Congreso Nacional de Control Automático, pp. 237-242, 2018.
Palabras clave
Constant power loads, active damping, adaptive control, Lyapunov methods, power converters
Referencias
- Anand, S. and Fernandes, B.G. (2013). Reduced-order model and stability analysis of low-voltage DC microgrid. IEEE Transactions on Industrial Electronics, 60(11), 5040–5049.
- Arocas-Pérez, J. and Griño, R. (2017). A local stability condition for dc grids with constant power loads. IFAC-PapersOnLine, 50(1), 7–12.
- Astolfi, A., Karagiannis, D., and Ortega, R. (2007). Nonlinear and adaptive control with applications. Springer Science & Business Media.
- Barabanov, N., Ortega, R., Griño, R., and Polyak, B. (2016). On existence and stability of equilibria of linear time-invariant systems with constant power loads. IEEE Transactions on Circuits and Systems I: Regular Papers, 63(1), 114–121.
- Belkhayat, M., Cooley, R., and Abed, E. (1995a). Stability and dynamics of power systems with regulated converters. In IEEE Proceedings of ISCAS’95 – International Symposium on Circuits and Systems, 143–145. Seattle, United States of America.
- Belkhayat, M., Cooley, R., and Witulski, A. (1995b). Large signal stability criteria for distributed systems with constant power loads. In IEEE Proceedings of the Power Electronics Specialist Conference (PESC’95), 1333–1338. Atlanta, United States of America.
- Brayton, R.K. and Moser, J.K. (1964). A theory of nonlinear networks –i. Quarterly of Applied Mathematics, 22(1), 1–33.
- Carmeli, M.S., Forlani, D., Grillo, S., Pinetti, R., Ragaini, E., and Tironi, E. (2012). A stabilization method for dc networks with constant-power loads. In IEEE International Energy Conference and Exhibition (ENERGYCON), 617–622. Florence, Italy.
- Cavanagh, K., Belk, J.A., and Turitsyn, K. (2018). Transient stability guarantees for ad hoc dc microgrids. IEEE Control Systems Letters, 2(1), 139–144.
- Cisneros, R., Mancilla-David, F., and Ortega, R. (2013). Passivity-based control of a grid-connected small-scale windmill with limited control authority. IEEE Journal of Emerging and Selected Topics in Power Electronics, 1(4), 247–259.
- Emadi, A., Khaligh, A., Rivetta, C.H., and Williamson, G.A. (2006). 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, 55(4), 1112–1125.
- Jayawardhana, B., Ortega, R., Garc´ıa-Canseco, E., and Casta˜nos, F. (2007). Passivity of nonlinear incremental systems: Application to PI stabilization of nonlinear RLC circuits. Systems & Control Letters, 56(9), 618–622.
- Kim, H.J., Kang, S.W., Seo, G.S., Jang, P., and Cho, B.H. (2016). Largesignal stability analysis of dc power system with shunt active damper. IEEE Transactions on Industrial Electronics, 63(10), 6270–6280.
- Marx, D., Magne, P., Nahid-Mobarakeh, B., Pierfederici, S., and Davat, B. (2012). Large signal stability analysis tools in dc power systems with constant power loads and variable power loads:a review. IEEE Transactions on Power Electronics, 27(4), 1773–1787.
- Middlebrook, R.D. (1976). Input filter considerations in design and application of switching regulators. IEEE Industry Applications Society Annual Meeting, 366–382.
- Monshizadeh, P., Machado, J.E., Ortega, R., and van der Schaft, A. (2018). Power-controlled hamiltonian systems: Application to electrical systems with constant power loads. CoRR, abs/1802.02483.
- Mosskull, H. (2015). Optimal dc-link stabilization design. IEEE Transactions on Industrial Electronics, 62(8), 5031–5044.
- Ortega, R., van der Schaft, A., Castanos, F., and Astolfi, A. (2008). Control by interconnection and standard passivity-based control of port-hamiltonian systems. IEEE Transactions on Automatic Control, 53(11), 2527–2542.
- Ortega, R., Loría, A., Nicklasson, P.J., and Sira-Ramirez, H.J. (2013). Passivity-based control of Euler-Lagrange systems: Mechanical, electrical and electromechanical applications. Springer Science & Business Media.
- Singh, S., Gautam, A.R., and Fulwani, D. (2017). Constant power loads and their effects in dc distributed power systems: A review. Renewable and Sustainable Energy Reviews, 72, 407–421.
- van der Schaft, A.J. (2017). L2-Gain and Passivity Techniques in Nonlinear Control. Springer International Publishing, 3rd edition.
- Wu, M. and Lu, D.D.C. (2015). A novel stabilization method of lc input filter with constant power loads without load performance compromise in dc microgrids. IEEE Transactions on Industrial Electronics, 62(7), 4552–4562.
- Zhang, X., Ruan, X., Kim, H., and Chi, K.T. (2013). Adaptive active capacitor converter for improving stability of cascaded dc power supply system. IEEE Transactions on Power Electronics, 28(4), 1807–1816.