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The power system is experiencing a higher penetration of renewable energy generations (REGs). The short circuit ratio (SCR) and the grid impedance ratio (GIR) are two indices to quantify the system strength of the power system with REGs. In this paper, the critical short circuit ratio (CSCR) is defined as the corresponding SCR when the system voltage is in the critical stable state. Through static voltage stability analysis, the mathematical expression of the CSCR considering the impact of GIR is derived. The maximum value of CSCR is adopted as the critical value to distinguish the weak power system. Based on the static equivalent circuit analysis, it is proved that the CSCR is still effective to evaluate critical system strength considering the interactive impact among REGs. Finally, we find that the GIR can be neglected and the SCR can be used individually to evaluate the system strength when SCR>2 or GIR>5. The correctness and rationality of the CSCR and its critical value are validated on ADPSS.

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Demand-side management is an important measure to reduce peak load. This paper proposes a home energy management strategy based on a virtual power plant platform to achieve demand response. Ordinary household users respond to the electricity prices or incentives provided by the interactive platform of the virtual power plant, and adjust the time-transferable loads such as air conditioners, water heaters, and electric cars in the home to achieve the effect of reducing electricity expenditure while meeting the demand for electricity. The validity of the proposed method is verified by a numerical example.