The supplementary damping control(SDC)based on port energy is advantageous because of its simplicity

wide applicability and clear physical meanings. The SDC based on the real part of port energy(R-SDC)and the more advanced comprehensive SDC(C-SDC)are proposed. Compared with the existing SDC based on the imaginary part of port energy(I-SDC)

the R-SDC is more suitable for resistance dominated networks. As the C-SDC can consider the coupling feature between the active/reactive power and the voltage magnitude/angle

it is better than the I-SDC in both resistance and reactance dominated networks. By applying the control strategies to the solar photovoltaic generators in modified IEEE benchmark systems

the effectiveness of the proposed control strategies is validated. This work is supported by National Basic Research Program of China(973 Program)(No. 2013CB228201).