Damping of Inter-Area Oscillations Using TCPS Based Delay Compensated Robust WADC

Abstract

Low-frequency oscillations (LFOs) pose a significant obstacle in achieving optimal power flow and utilizing transmission corridors in large interconnected power systems. In this study, linear matrix inequality (LMI) base robust $H_{\infty }$ wide-area damping controller (WADC) is introduced to effectively address critical LFOs. The proposed WADC utilizes wide-area signals, which modulate the phase angle of a thyristor-controlled phase shifter device. To ensure that the concerned modes of LFOs lie in left half of the complex plane, a D-space sub-region approach is applied. However, using wide-area signals introduces time delays, which negatively impact the efficacy of the WADC; hence, a time delay compensator (TDC) is incorporated into the feedback path of the signals. The proposed approach involves four key steps: selecting feedback signals using a combined modal transformation and geometric approach, designing an appropriate TDC, building a generalized plant with mixed sensitivity weights, and solving the LMI. The dynamic efficacy is verified on IEEE 4-machine 11-bus system, and 10-machine 39-bus system. Poorly damped single and multiple critical modes are placed in the D-space region of interest with specified damping ratios viz. 10% and 15%. Furthermore, damping ratios of critical modes are maintained with TDC based proposed WADC while deteriorating with other counterparts.

Keywords:

• thyristor-controlled phase shifter
• low frequency oscillation
• inter-area modes
• wide-area damping controller
• robust control

Additional information

Funding

The work was supported by Central Power Research Institute (CPRI), Ministry of Power, Govt. of India under grant CPRI/RD/TC/Trans/2022.

Notes on contributors

Abhineet Prakash

Abhineet Prakash received the B.E. degree in electrical and electronics engineering from the Rajiv Gandhi Proudyogiki Vishwavidyalaya, Bhopal, India, in 2015, and the M.Tech. degree in power systems from the National Institute of Technology, Patna, India, in 2018. He is currently working toward the Ph.D. degree with the Department of Electrical Engineering, Indian Institute of Technology, Patna. He is also a Visiting Researcher with the Department of Electrical Engineering and Computer Science, Khalifa University, Abu Dhabi, UAE. He was the recipient of the Certificate of Excellence Award from National Institute of Technology, Patna, in 2018, and the prestigious POSOCO Power System Awards 2023 by Grid Controller of India Ltd., Govt. of India. His research interests include power system dynamics and stability.

Kundan Kumar

Kundan Kumar received the B.Tech. degree in electrical engineering from Rajasthan Technical University, Kota, India, in 2016, and the M.Tech. degree in power electronics and drives from the National Institute of Technology, Mizoram, India, in 2019. He is currently working toward the Ph.D. degree with the Department of Electrical Engineering, Indian Institute of Technology, Patna, India. He has completed a major Project titled Multi-Node Wide-Area Distributed Control to Improve Power System Stability in Indian Context funded by SERB, Govt. of India. His research interests include power system dynamics and stability.

S. K. Parida

S. K. Parida received the Ph.D. degree in power system from the Department of Electrical Engineering, Indian Institute of Technology (IIT), Kanpur, India, in 2009. He is currently an Associate Professor with the Department of Electrical Engineering, IIT, Patna, India. He has handled several major Projects as PI and Co-PI sponsored by DST and MietY, Govt. of India. During the Ph.D. degree, he was the recipient of the Senior Research Fellowship (SRF) by the Power Management Institute, NTPC Ltd., Noida, in 2007, the Young Scientist Award by DST, Govt. of India, in 2010, Bhaskar Advanced Solar Energy (BASE-2015) Research Fellowship Award by Indo US Science and Technology Forum (IUSSTF), DST, Govt. of India, in 2015, and the Young Faculty Research Fellowship Award by Digital India Ltd., MeitY, Govt. of India in 2019. His research interest includes power system dynamics, power system protection and demand side management.