Abstract: To solve the limitation of the penetration improvement caused by harmonic resonance of rooftop photovoltaic inverters, a distributed damping reconstruction control scheme based on dual stability limitations is proposed. Firstly, the coupled relationship between the grid strength and penetration, and the harmonic resonance mechanism were investigated based on the equivalent impedance model of multi-parallel inverters. Secondly, the harmonic resonance under grid weakening was taken as a constraint, and the penetration characteristics of new energy under different dispatched power and number of units were analyzed. Thirdly, the economy of the power dispatch was taken into account, and the equivalent control component of the extra damping was added into the modulation wave of the bottom inverter to form the distributed damping reconstruction control scheme. Moreover, the dual stability limitation requirements of harmonic resonance suppression and the self-stability were taken into account, and an evaluation scheme of the maximum ability of the distributed damping reconstruction was constructed based on the impedance matching and pole-zero diagram, so as to realize the maximum improvement of the penetration level. Finally, the effectiveness of the proposed control scheme was verified by simulations and experiments. The research results show that the proposed control scheme can improve the harmonic resonance suppression ability of the inverters and the penetration level of the grid-connected system, providing a technical support for the large-scale integration of rooftop photovoltaics.