This lecture introduces the development of high-performance structure-exploiting optimal power flow (OPF) solvers, focusing on computational efficiency and applications to power systems. The speaker discusses the challenges in solving large-scale OPF problems, the need for global solutions over the full time horizon, and the trade-offs between computational complexity and solution precision. The lecture details the development of multi-period and security constraints OPF solvers, the use of structure-exploiting algorithms to accelerate solution times, and the integration of these solvers into academic and industrial tools. The speaker also highlights the significant speed-ups achieved by the solvers, the scalability to high-performance computers, and the memory-efficient approaches for handling dense systems in multi-period problems.