Abstract: Structure of nucleus far from the β-stability line is a currently hot topic in the field of nuclear physics. The β-decay spectroscopy is an important method to study the nuclear structure, especially for the drip-line nuclei with low yield. This paper reviews the experimental studies of β-delayed decay spectroscopies for the extremely proton-rich nuclei in sd-shell recently carried out at the RIBLL1 facility. The precise data on half-lives, masses of decay daughter nuclei, energy spectra and branch ratios of β-delayed proton and two-proton decays as well as γ transitions for 15 nuclei have been obtained, which greatly enrich the spectroscopy information of the nuclei close to the proton drip-line in this region. In particular, the decay properties of some nuclei like ²²Si and ²⁰Mg as well as ²⁷S and ²⁶P are described in detail. Moreover, some hot topics related to the three-body force, the decay asymmetry of mirror nuclei, and the thermomuclear reaction rates related to the super-abundant issue of ²⁶Al in the Milky Way are discussed.