An intelligent electronic device (IED) may provide point on wave switching. The IED may receive a control operation request, and determine when to issue a control command to cause a switch to change positions. The actuation of the switch may occur at a target point on an alternating current. An IED may have a processor that is too slow to implement a switch when a desired point on an alternating current first occurs. Accordingly, some embodiments may compensate for the processing speed of an IED by determining a number of processor cycles needed (in advance) to issue a control command so that the resulting action results in the desired point on wave open or close.

A medium voltage power supply is disclosed as including plural medium voltage power lines and plural medium voltage switchboards, connected by respective medium voltage power lines. The medium voltage switchboards are each provided with a respective electrical protection equipment under the IEC 61850 standard and with respective medium voltage signal couplers driven by the electrical protection equipment to transmit and receive Generic Object Oriented Substation Event messages through the medium voltage power lines.

In steady-state voltage stability analysis, as load increases toward a maximum, conventional Newton-Raphson power flow Jacobian matrix becomes increasingly ill-conditioned so power flow fails to converge before reaching maximum loading. A method to directly eliminate this singularity reformulates the power flow problem by introducing an AQ bus with specified bus angle and reactive power consumption of a load bus. For steady-state voltage stability analysis, the angle separation between the swing bus and AQ bus can be varied to control power transfer to the load, rather than specifying the load power itself. For an AQ bus, the power flow formulation is only made up of a reactive power equation, thus reducing the size of the Jacobian matrix by one. This reduced Jacobian matrix is nonsingular at the critical voltage point, eliminating a major difficulty in voltage stability analysis for power system operations.

Systems or methods of the present disclosure may provide efficient power consumption for programmable logic devices based on reducing guardband voltages. A programmable logic device may include circuit monitors to mimic critical paths of an implemented circuit design and generate timing information based on the critical paths. A controller on the programmable logic device may adjust the voltage guardband based on the timing information.

Systems or methods of the present disclosure may provide efficient power consumption for programmable logic devices based on reducing guardband voltages. A programmable logic device may include circuit monitors to mimic critical paths of an implemented circuit design and generate timing information based on the critical paths. A controller on the programmable logic device may adjust the voltage guardband based on the timing information.