Monitoring of electrical appliances based on dispersion of impedance

At least one non-transitory computer-readable storage medium encoded with executable instructions that, when executed by at least one processor, cause the at least one processor to perform operations comprising:

• injecting probe waveforms by injecting, with a first probe electrically coupled to a circuit of an electrical power distribution system and for each of multiple frequencies, a probe waveform at a particular frequency of the multiple frequencies into the circuit of the electrical power distribution system;
• extracting, with a second probe electrically coupled to a circuit of an electrical power distribution system and for each of the probe waveforms injected for each of the multiple frequencies, an output signal of the injected probe waveform from the circuit of the electrical power distribution system;
• determining, based on the extracted output signals of the injected probe waveforms, dispersion values for the circuit, the dispersion values each indicating a difference of magnitude of an impedance of the circuit between two different values of phase of the impedance for a particular frequency of the multiple frequencies of the probe waveforms;
• determining, based on the dispersion values for the circuit, at least one characteristic of a device connected to the circuit;
• and
• transmitting, based on the characteristic of the device that is determined, a control signal to control an operation of the device.

A system comprising:

• at least one processor;
• and
• at least one computer memory coupled to the at least one processor having stored thereon instructions which, when executed by the at least one processor, cause the at least one processor to perform operations comprising:
• injecting prove waveforms by injecting, with a first probe electrically coupled to a circuit of an electrical power distribution system and for each of multiple frequencies, a probe waveform at a particular frequency of the multiple frequencies into the circuit of the electrical power distribution system;
• extracting, with a second probe electrically coupled to a circuit of an electrical power distribution system and for each of the probe waveforms injected for each of the multiple frequencies, an output signal of the injected probe waveform from the circuit of the electrical power distribution system;
• determining, based on the extracted output signals of the injected probe waveforms, dispersion values for the circuit, the dispersion values each indicating a difference of magnitude of an impedance of the circuit between two different values of phase of the impedance for a particular frequency of the multiple frequencies of the probe waveforms;
• determining, based on the dispersion values for the circuit, at least one characteristic of a device connected to the circuit;
• and
• transmitting, based on the characteristic of the device that is determined, a control signal to control an operation of the device.