Tj. Hammons et Cc. Seah, TORQUES IN MULTIMACHINE GENERATOR SHAFTS DUE TO HVDC RECTIFIER RIPPLECURRENTS SUPERIMPOSED ON THE DC CURRENT IN ASYNCHRONOUS LINKS, Electric machines and power systems, 26(3), 1998, pp. 299-314
This paper analyses torsional vibrations in steam turbine-generator-ex
citer shafts of machines in multi-machine power systems in close proxi
mity to the inverter station due to rectifier ripple currents superimp
osed on the DC current in asynchronous DC links. It extends earlier wo
rk to include an in-depth analysis of system scaling factors for modul
ation product harmonic currents impressed on generators not examined i
n the literature heretofore by an inverter in an asynchronous link. Fr
equency at which shaft torsional vibrations would be excited by modula
tion product harmonics in 50Hz/50Hz asynchronous links as a function o
f deviation in system frequency is first reviewed. Amplitude of shaft
torque due to steady resonant torque excitation which is a function of
initial rate of increase of vibration at adjacent cells where the ste
ady resonant torque excitation is applied, the time constant for decay
of the vibration and stiffness between adjacent cells is then discuss
ed. The paper then shows that torque in shafts of machines in multi-ma
chine networks may be estimated by proportioning HVDC Link inverter mo
dulation product harmonic disturbance current appropriately to each ma
chine at risk. A three phase fault studies programme to proportion con
verter harmonic current to each machine is discussed. System scaling f
actors are evaluated for different scenarios : (i) neglecting system l
oads, (ii) using a lumped load at the inverter, and (iii) employing di
stributed system loads for (a) constant impedance loads and (b) subtra
nsient reactance dynamic loads. The effect of tappings of transformers
is also discussed. On the basis of these evaluations, generators are
identified which are most at risk. Torques in shafts of the machines i
n Ireland due to rectifier ripple currents superimposed on the DC curr
ent of the proposed North Wales/Ireland Link are then analysed and dis
cussed.