Neglect feature selection matter for high-dimensional transient data obtained from phasor measurement units (PMUs) negatively affect the inconsistent-linked indices, namely data labeling time (DLT) and data labeling accuracy (DLA) in the transient analysis (TA). A reasonable trade-off between DLT and DLA or a win-win solution (low DLT and high DLA) necessitates feature-based mining on transient multivariate excursions (TMEs) via designing the comprehensive feature selection scheme (FSS). Hence, to achieve high-performance TA, we offer the cross-permutation-based quad-hybrid FSS (CPQHFSS) to select optimal features from TMEs. The CPQHFSS consists of four filter-wrapper blocks (FWBs) in the form of twin two-FWBs mounted on two-mechanism of the incremental wrapper, namely incremental wrapper subset selection (IWSS) and IWSS with replacement (IWSSr). The IWSS 2FWBs and IWSSr 2FWBs contain filter-fixed and wrapper-varied approaches (F f W v ) that first block-specific F f W v of IWSS 2FWBs and IWSSr 2FWBs includes relevancy ratio-support vector machine (RR-SVM) and second block-specific F f W v of IWSS 2FWBs and IWSSr 2FWBs accompanied by relevancy ratio-twin support vector machine (RR-TWSVM). Generally, RR IWSS SVM and RR IWSS TWSVM is in IWSS 2FWBs , and RR IWSSr SVM and RR IWSSr TWSVM is in IWSSr 2FWBs . Besides direct relations in two-F f W v Bs per incremental wrapper mechanism, by plugging different kernels into the hyperplane-based wrapper, all possible cross-permutations of hybrid FSS are applied on transient data to extract the optimal transient features (OTFs). Finally, the evaluation of the effectiveness of the CPQHFSS-based OTFs in TA is conducted based on the cross-validation technique. The obtained results show that the proposed framework has a DLA of 98.87 % and a DLT of 152.525 milliseconds