Individual generators with damping windings and shunt static VAR compensators (SVCs) and under disturbances in multimachine power networks are modeled via what we call the model-reference (MR) swing equations. Then stabilization of individual generators is contrived with nonlinear and MR SVCs, by employing the MR swing equations. The SVCs guarantee robust stability against disturbances and uncertainties in generators and from connecting networks, and they can be implemented in a variety of ways. As a specific example, nonlinear and piecewise SVCs are suggested, which can accommodate performances on generators such as swing reduction ratio. Examples illustrate efficacy of the stabilization technique. Copyright © 2010 Institute of Electrical Engineers of Japan. Published by John Wiley & Sons, Inc.