In this paper, we propose three applications to quantitatively evaluate N-1 security with increased uncertainties. By using a robust dynamic security region (RDS), which is based on the concept of robust power system security (RS), the key region for judging the security and a new evaluation index for quantitative analysis, we can evaluate power system security as follows. (1) The calculation of the RDS at the time of yearly peak load demand can be recognized as the benchmark for the N-1 security at present, and this method can be applied to the future power system with increased renewable energy resources (RES) such as PV.(2) We show the yearly declining trend for N-1 security resulting from increased PV deployment year by year. (3) We calculate the necessary amount of additional power supply capacity, including conventional electric power generators or storage batteries, needed for maintaining the N-1 security at the present level. The effectiveness of the proposed method is demonstrated through simulations using a model system with three machines. C⃝ 2016 Wiley Periodicals, Inc. Electr Eng Jpn, 197(1): 15-25, 2016; Published online in Wiley Online Library (wileyonlinelibrary.com).Keywords: robust power system security (RS); new evaluation index for N-1 security; benchmark for N-1 security; increased PV penetration.