TY - CHAP
T1 - Frequency Measurement Within Distribution Networks
AU - Wu, Yuru
AU - Liu, Yilu
N1 - Publisher Copyright:
© The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd. 2026.
PY - 2026
Y1 - 2026
N2 - Power system frequency serves as a real-time indicator of generation–load balance, system stability, and power quality, and its accurate estimation is critical for protection coordination, islanding detection, and ancillary‐service activation in modern distribution networks. Looking ahead, distribution grids face unprecedented challenges—high inverter penetration, reduced inertia, multi-frequency phenomena, large data centers, and nonstationary, unbalanced conditions—that demand novel paradigms in frequency analytics. This chapter presents a chronological survey of frequency‐estimation methodologies—from early zero‐crossing and electromechanical meters through spectral discrete Fourier transform based techniques, Prony and least‐squares fitting, and digital phase‐locked loops, to adaptive filters, advanced notch filters, and Kalman‐filter observers. Each class of algorithm’s underlying principles, dynamic performance, and implementation trade-offs are analyzed, highlighting their historical impact on microprocessor‐based protection relays, synchrophasor standards (IEEE C37.118), and real-time wide‐area monitoring. The chapter also explores recent advances such as interpolated discrete Fourier transform, dictionary-based dynamic phasor estimation, cooperative distributed filtering, and machine‐learning-augmented observers.
AB - Power system frequency serves as a real-time indicator of generation–load balance, system stability, and power quality, and its accurate estimation is critical for protection coordination, islanding detection, and ancillary‐service activation in modern distribution networks. Looking ahead, distribution grids face unprecedented challenges—high inverter penetration, reduced inertia, multi-frequency phenomena, large data centers, and nonstationary, unbalanced conditions—that demand novel paradigms in frequency analytics. This chapter presents a chronological survey of frequency‐estimation methodologies—from early zero‐crossing and electromechanical meters through spectral discrete Fourier transform based techniques, Prony and least‐squares fitting, and digital phase‐locked loops, to adaptive filters, advanced notch filters, and Kalman‐filter observers. Each class of algorithm’s underlying principles, dynamic performance, and implementation trade-offs are analyzed, highlighting their historical impact on microprocessor‐based protection relays, synchrophasor standards (IEEE C37.118), and real-time wide‐area monitoring. The chapter also explores recent advances such as interpolated discrete Fourier transform, dictionary-based dynamic phasor estimation, cooperative distributed filtering, and machine‐learning-augmented observers.
KW - Algorithm
KW - Distribution network
KW - Frequency estimation
KW - Power system
UR - https://www.scopus.com/pages/publications/105029230462
U2 - 10.1007/978-981-95-3708-2_8
DO - 10.1007/978-981-95-3708-2_8
M3 - Chapter
AN - SCOPUS:105029230462
T3 - Power Systems
SP - 197
EP - 223
BT - Power Systems
PB - Springer Science and Business Media Deutschland GmbH
ER -