This document summarizes a patent for improvements to magnetic amplifiers. It describes a magnetic amplifier with a reversible cycle of operation corresponding to half cycles of line current. It alternately saturates pairs of cores in opposite directions using line current flux, while also exposing at least one core to a signal current flux to separate the core saturations during some cycles. It controls output current delivery within these cycles based on the core saturation without transferring memory between cycles. The document also discusses characteristics of magnetic amplifiers like hysteresis loops and core saturation levels.