Phasor Estimation and Disturbance Detection in Power Systems by Ramanujan Sum

Indian mathematician Srinivasa Ramanujan introduced a summation in 1918; now it is known as Ramanujan sum c
q
(n). For any fixed integer q, this is a sequence in n with periodicity q. In recent years, Ramanujan Sum has become a topic of interest in signal and image processing applications. But Ramanujan sum for power system applications is not explored by any power system researcher till date. In this very first paper on Ramanujan sum for power system applications, efforts are made to utilize Ramanujan sum to phasor estimation and disturbance detection. Ramanujan sum is used to find solutions for power system challenges like phasor estimation and disturbance detection. The methodologies are tested on the computer generated test signals and real-time test signals of WSCC 9-bus system obtained from real-time digital simulator.