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A self-powered active support system, which produces a control force using the energy regenerated by a transversely mounted linear electromagnetic (EM) damper, is applied for two-dimensional (2D) (streamwise/cross-flow) vortex-induced vibration (VIV) suppression of an oscillating circular cylinder in low Reynolds number flow (R=90). In addition, a passive energy generating system is devised that achieves a proper trade-off between VIV suppression and energy harvesting actions with the EM damper acting in either the regeneration or the dissipation mode. A multifield cosimulation scheme, which links an active proportional-integral-derivative (PID) controller along with the switch-based energy harvesting circuit of the EM damper (implemented in MATLAB/Simulink) to the plant model (constructed via a user-defined function in a commercial finite volume solver), is designed and implemented. Numerical simulations compare the effects of the passive and active EM-generating systems on 2D VIV suppression of the elastic cylinder as well as on the time evolution of cylinder force coefficients. They demonstrate that the adopted self-powered (tuned) active energy harvesting system, which does not require an external power supply and makes intelligent use of the stored electrical energy for producing the required transverse control force, efficiently balances the regenerated and consumed energies by proper switching between three distinct (regeneration, drive, and brake) modes of EM device operation. It can particularly provide improved cylinder VIV suppression with lower power consumption via enhanced collaborative action between different modes of the EM device. Moreover, the selected system is also found to be effective for other Reynolds numbers in the lock-in region. [ABSTRACT FROM AUTHOR]