Hamiltonian-Based Power Flow and Stability Analysis on a Passively Controlled Multi-Frequency Power System

Frequency matching enables grid operators to take full advantage of power electronics, opens up communications over the grid, expands power transmission bandwidth, and allows for power routing (i.e. The purchasing of exclusively “green elec-trons”). Relaxing the traditional 60 Hz constraint permits grid operators to send power at different frequencies across different transmission lines of different impedances to minimize power loss. Frequencies may be chosen to be transmitted to impedance match transmission lines and certain loads without affecting power transmission to other loads. Hamiltonian-based power flow advancements enable the above capabilities by analyzing and manipulating total power flow, providing insight into the stability of a system, and showing boundaries of stability. This paper seeks to lay a foundation for the inclusion of multiple frequencies inside of power packets, a fundamental component of power packet networks (PPNs). With this, loads are able to receive power from specified generators, while rejecting power from all others.