Method to provide meta-stable operation of a DC microgrid comprising a pulsed load
A Hamiltonian surface shaping power flow control (HSSPFC) method is used to analyze the meta-stability and adjust pulsed power loads on a DC electric power distribution network. Pulsed power loads are nonlinear, time-variant systems that cause nonlinear limit-cycles. During the on periods of a pulsed load, the system can be in an unstable state and is damped back to stability during the off state of the load. Therefore, over the entire period of the pulse the system may only be assessed as meta-stable. As shown through simulation, HIL and hardware results, the HSSPFC method is more accurate than the other small-signal approaches, such as Eigenvalues, Nyquist, and Floquet theory, and can reveal important details about the transient responses and performance.
1. A method to provide meta-stable operation of a DC microgrid having a pulsed load, comprising:
providing a DC microgrid circuit comprising a pulsed load having a power magnitude, duty cycle, and period;
deriving a Hamiltonian for the circuit comprising the sum of kinetic and potential energies of the circuit;
deriving a nonlinear limit cycle for the circuit by integrating the time derivative of the Hamiltonian for the period of limit cycle; and
adjusting the power magnitude, duty cycle, and period of the pulsed load such that the circuit operates at or below the nonlinear limit cycle, wherein the energy generated during the cycle is equal to or less than the energy dissipated during the cycle.
2. The method of claim 1 , wherein the DC microgrid circuit comprises an electric ship power distribution network and the pulsed load comprises a laser, electromagnetic aircraft launch system, railgun, or radar.
3. The method of claim 1 , wherein the DC microgrid circuit comprises an electric aircraft power distribution network.
4. The method of claim 1 , wherein the DC microgrid circuit comprises a boost converter cascaded with a RC passive load, followed by an active power electronics buck converter.
5. The method of claim 1 , further comprising adding energy storage to the DC microgrid to provide a desired margin of safety.