Critical Loading Characterization for MTDC Converters Using Trajectory Sensitivity Analysis

This paper introduces a new technique to characterize the ac grids stability connected to multiterminal high-voltage direct current networks. The proposed method identifies the maximum active powers that converters can exchange with an ac network without losing the transient stability using trajectory sensitivity analysis. Therefore, the generators' rotor angles variations due to various converters active powers exchange are measured and normalized. Consequently, the norm of each trajectory vector is used as an indicator of the system proximity to instability. To enhance the accuracy of the method for online stability assessment applications, the steady-state initial conditions of the sensitivity network variables are precisely obtained using the Newton shooting method. For this purpose, the detailed differential and algebraic models representing the dynamics of the ac and dc networks have been formulated and analytically solved simultaneously with the sensitivity network. Comprehensive simulation studies on the IEEE 68-bus benchmark system are carried out using PSCAD/EMTDC for validation purposes. Results show that the modified approach provides more accurate results compared to the normal trajectory sensitivity analysis with less time compared to multiple time-domain simulations.

[1]  Ronnie Belmans,et al.  Generalized steady-state VSC MTDC model for sequential AC/DC power flow algorithms , 2013, 2013 IEEE Power & Energy Society General Meeting.

[2]  M.A. Pai,et al.  Bounding uncertainty in power system dynamic simulations , 2000, 2000 IEEE Power Engineering Society Winter Meeting. Conference Proceedings (Cat. No.00CH37077).

[3]  J. S. Edmonds,et al.  Trajectory sensitivity based identification of synchronous generator and excitation system parameters , 1988 .

[4]  Yizhen Wang,et al.  Control strategy of system coordination in Nanao multi-terminal VSC-HVDC project for wind integration , 2014, 2014 IEEE PES General Meeting | Conference & Exposition.

[5]  M. Akke,et al.  Analysis of the Nordel power grid disturbance of January 1, 1997 using trajectory sensitivities , 1999 .

[6]  Qian Xu,et al.  Sliding mode robust control based active-power modulation of multi-terminal HVDC transmissions , 2016, 2016 IEEE Power and Energy Society General Meeting (PESGM).

[7]  I. Hiskens.  Nonlinear dynamic model evaluation from disturbance measurements , 2002, 2002 IEEE Power Engineering Society Winter Meeting. Conference Proceedings (Cat. No.02CH37309).

[8]  Xiao-Ping Zhang,et al.  Basic topology and key devices of the five-terminal DC grid , 2015 .

[9]  J. Chow,et al.  A trajectory sensitivity method for the identification of nonlinear excitation system models , 1993 .

[10]  Temesgen Mulugeta Haileselassie,et al.  Control, Dynamics and Operation of Multi-terminal VSC-HVDC Transmission Systems , 2012 .

[11]  S. M. Shinners.  Sensitivity analysis of dynamic systems , 1965 .

[12]  Robert Eriksson,et al.  Coordinated Control of Multiterminal DC Grid Power Injections for Improved Rotor-Angle Stability Based on Lyapunov Theory , 2014, IEEE Transactions on Power Delivery.

[13]  Nilanjan Ray Chaudhuri,et al.  Multi-terminal Direct-Current Grids: Modeling, Analysis, and Control , 2014 .

[14]  M. Pai,et al.  A new approach to dynamic security assessment using trajectory sensitivities , 1997, Proceedings of the 20th International Conference on Power Industry Computer Applications.

[15]  Jiuping Pan,et al.  Stability Analysis of VSC MTDC Grids Connected to Multimachine AC Systems , 2011, IEEE Transactions on Power Delivery.

[16]  B.K. Johnson,et al.  Experience with Modeling MTDC Systems in Transient Stability Programs , 1991, IEEE Power Engineering Review.

[17]  I.A. Hiskens,et al.  Sensitivity, Approximation, and Uncertainty in Power System Dynamic Simulation , 2006, IEEE Transactions on Power Systems.

[18]  Tony B. Nguyen,et al.  Dynamic security-constrained rescheduling of power systems using trajectory sensitivities , 2003 .

[19]  I. Hiskens,et al.  Power system applications of trajectory sensitivities , 2002, 2002 IEEE Power Engineering Society Winter Meeting. Conference Proceedings (Cat. No.02CH37309).

[20]  Reza Iravani,et al.  Voltage-Sourced Converters in Power Systems: Modeling, Control, and Applications , 2010 .

[21]  Alberto L. Sangiovanni-Vincentelli,et al.  Steady-state methods for simulating analog and microwave circuits , 1990, The Kluwer international series in engineering and computer science.

[22]  Ronnie Belmans,et al.  A combined AC/DC optimal power flow algorithm for meshed AC and DC networks linked by VSC converters , 2015 .

[23]  Dirk Van Hertem,et al.  HVDC Grid Feasibility Study , 2013 .

[24]  Ronnie Belmans,et al.  Generalized Dynamic VSC MTDC Model for Power System Stability Studies , 2010, IEEE Transactions on Power Systems.