Damping of Inter-Area Oscillations via Modulation of Aggregated Loads

Low frequency electromechanical oscillations can pose a threat to the stability of power systems if not properly addressed. This paper proposes a novel methodology to damp these inter-area oscillations using loads, the demand side of the system. In the proposed methodology, loads are assigned to an aggregated cluster whose demand is modulated for oscillation damping. The load cluster control action is obtained from an optimal output feedback control (OOFC) strategy. The paper presents an extension to the regular OOFC formulation by imposing a constraint on the sum of the rows in the optimal gain matrix. This constraint is useful when the feedback signals are generator speeds. In this case, the sum of the rows of the optimal gain matrix is the droop gain of each load actuator. Time-domain simulations of a large-scale power system are used to demonstrate the efficacy of the proposed control algorithm. Two different cases are considered: a power imbalance and a line fault. The simulation results show that the proposed controllers successfully damp inter-area oscillations under different operating conditions and with different clustering for the events considered. In addition, the simulations illustrate the benefit of the proposed extension to the OOFC that enable load to provide a combination of droop control and small signal stability augmentation.

[1]  Jer-Nan Juang,et al.  An eigensystem realization algorithm for modal parameter identification and model reduction. [control systems design for large space structures] , 1985 .

[2]  Raymond H. Byrne,et al.  Small signal stability of the western North American power grid with high penetrations of renewable generation , 2017, 2017 IEEE 44th Photovoltaic Specialist Conference (PVSC).

[3]  Michael Chertkov,et al.  Sparsity-Promoting Optimal Wide-Area Control of Power Networks , 2013, IEEE Transactions on Power Systems.

[4]  Dmitry Kosterev,et al.  PDCI damping control analysis for the western North American power system , 2013, 2013 IEEE Power & Energy Society General Meeting.

[5]  D. Schoenwald,et al.  Universal Wide-area Damping Control for Mitigating Inter-area Oscillations in Power Systems , 2017 .

[6]  J. Bernussou,et al.  An easy way to find gradient matrix of composite matricial functions , 1981 .

[7]  Zhe Chen,et al.  Damping control strategies of inter-area low-frequency oscillation for DFIG-based wind farms integrated into a power system , 2014 .

[8]  Rui Fan,et al.  Wide-Area Demand-Side Control for Inter-Area Oscillation Mitigation in Power Systems , 2018, 2018 IEEE/PES Transmission and Distribution Conference and Exposition (T&D).

[9]  Nadarajah Mithulananthan,et al.  Comparison of PSS, SVC, and STATCOM controllers for damping power system oscillations , 2003 .

[10]  Bin Li,et al.  Damping Inter-Area Oscillations With Large-Scale PV Plant by Modified Multiple-Model Adaptive Control Strategy , 2017, IEEE Transactions on Sustainable Energy.

[11]  Balarko Chaudhuri,et al.  Wide-area measurement-based stabilizing control of power system considering signal transmission delay , 2004 .

[12]  Yang Zhang,et al.  Design of Wide-Area Damping Controllers for Interarea Oscillations , 2008, IEEE Transactions on Power Systems.

[13]  Ryan T. Elliott,et al.  Damping of inter-area oscillations using energy storage , 2013, 2013 IEEE Power & Energy Society General Meeting.

[14]  Raymond H. Byrne,et al.  Effects of communication latency and availability on synthetic inertia , 2017, 2017 IEEE Power & Energy Society Innovative Smart Grid Technologies Conference (ISGT).

[15]  José Claudio Geromel,et al.  Contribution à l'étude des systèmes dynamiques interconnectés : aspects de décentralisation , 1979 .

[16]  James D. McCalley,et al.  TCSC controller design for damping interarea oscillations , 1998 .

[17]  Joe H. Chow,et al.  Performance comparison of three identification methods for the analysis of electromechanical oscillations , 1999 .

[18]  Rui Fan,et al.  Interarea Oscillation Damping Control Using High-Voltage DC Transmission: A Survey , 2018, IEEE Transactions on Power Systems.

[19]  Graham Rogers,et al.  Power System Oscillations , 1999 .

[20]  Joe H. Chow,et al.  A toolbox for power system dynamics and control engineering education and research , 1992 .

[21]  Jian Xu,et al.  Investigations of Large-Scale Voltage-Dependent Loads for Damping Inter-Area Oscillations: Mechanism and Robust Decentralized Control , 2018, IEEE Transactions on Power Systems.

[22]  Jason C. Neely,et al.  Design of the Pacific DC Intertie Wide Area Damping Controller , 2019, IEEE Transactions on Power Systems.

[23]  Lennart Ljung,et al.  System Identification: Theory for the User , 1987 .

[24]  Mohit Singh,et al.  Interarea Oscillation Damping Controls for Wind Power Plants , 2015, IEEE Transactions on Sustainable Energy.

[25]  Joe H. Chow,et al.  Effects of Wind Turbine Generators on Inter-Area Oscillations and Damping Control Design , 2019, HICSS.

[26]  Felipe Wilches-Bernal,et al.  Initial closed-loop testing results for the pacific DC intertie wide area damping controller , 2017, 2017 IEEE Power & Energy Society General Meeting.

[27]  Kevin Tomsovic,et al.  Dynamic Control Allocation for Damping of Inter-Area Oscillations , 2017, IEEE Transactions on Power Systems.

[28]  Felipe Wilches-Bernal,et al.  Structuring the Optimal Output Feedback Control Gain: A Soft Constraint Approach , 2018, 2018 IEEE Conference on Decision and Control (CDC).

[29]  Ekkehard W. Sachs,et al.  Computational Design of Optimal Output Feedback Controllers , 1997, SIAM J. Optim..

[30]  C. W. Taylor,et al.  Model validation for the August 10, 1996 WSCC system outage , 1999 .

[31]  Aranya Chakrabortty,et al.  Wide-Area Damping Control of Power Systems Using Dynamic Clustering and TCSC-Based Redesigns , 2012, IEEE Transactions on Smart Grid.

[32]  Raymond H. Byrne,et al.  Impact of communication latencies and availability on droop-implemented primary frequency regulation , 2017, 2017 North American Power Symposium (NAPS).

[33]  Shaopeng Wang,et al.  Power system damping controller design-using multiple input signals , 2000 .

[34]  Jinyu Wen,et al.  Design of Anti-Windup Compensator for Energy Storage-Based Damping Controller to Enhance Power System Stability , 2014, IEEE Transactions on Power Systems.

[35]  Kit Po Wong,et al.  A Sliding Mode Based Damping Control of DFIG for Interarea Power Oscillations , 2017, IEEE Transactions on Sustainable Energy.

[36]  W. Hutcheson A simple derivation of the gradient conditions for optimal constant output feedback gains , 1978 .