Study of the Steinmetz Circuit Influence on AC Traction System Resonance

Study of Resonances in 1 × 25 kV AC Traction Systems

“…where the coefficients of the equations are ( ) In equation (12), resistance R L (i.e., ratio r L ) is neglected to reduce the number of variables involved because it is proved that, as expected, it damps the system harmonic response but does not affect resonance location significantly [18]. It is numerically verified that the discriminant of the function in (11)…”

“…The resistances of the power system and substation transformer impedances (i.e., R S and R TR , respectively) are neglected in this study because it is well-known that they damp the system harmonic response but do not affect resonance location significantly [18].…”

“…and the first resonance of Z Eqk, N can be approximately located by equating to zero the denominator of (18), which can be compacted as follows:…”

“…Thus, many works have addressed the resonance problem at traction system pantograph terminals experimentally and numerically [1] − [3], [7], [10], [14] − [16]. In [2], [3], [10], [15], resonance is analyzed from Table 1 1x25kV 50 Hz traction system data and ratios [2], [3], [5], [15], [18] System data System ratios Power System -The RLC and broadband filter parameters depend on the reactive power consumption of the traction system and filter tuning frequency.…”

“…From the framework in [18], the present paper provides analytical expressions for locating all the resonance frequencies observed from the traction load at pantograph terminals in unfiltered 1x25 kV railway power systems. These expressions make it possible to investigate 1x25 kV railway power system resonances in more detail than frequency scan plots.…”