Methods and systems for real-time voltage stabilization of electrical distribution networks with non-linear power flows

A system comprising:

• a memory storing instructions;
• one or more input/output (I/O) interfaces;
• and
• one or more hardware processors coupled to the memory via the one or more I/O interfaces, wherein the one or more hardware processors are configured by the instructions to:
• obtain a load data, a distributed energy resources (DER) data, and a network data of an electrical distribution network whose voltage is to be controlled in a real-time, wherein the load data and the DER data are obtained at each time-step of a plurality of time-steps for a predefined time period, and wherein the electrical distribution network is associated with a plurality of consumers and comprises (i) a plurality of buses and a plurality of lines connected to the plurality of buses, (ii) one or more distributed energy resources present at one or more buses of the plurality of buses, and (iii) one or more network loads present at one or more buses of the plurality of buses, and wherein the load data at each time-step comprises a load active power consumption and a load reactive power consumption at the one or more buses of the plurality of buses, the DER data at each time-step comprises a DER active power generation and a DER reactive power generation, and the network data comprises of a line resistance and a line reactance of each line of the plurality of lines;
• simulate the electrical distribution network based on the load data, the DER data, and the network data using a non-linear power flow model, to obtain a voltage profile at each time-step of the electrical distribution network, wherein the voltage profile at each time-step comprises a voltage magnitude data at the plurality of buses;
• predict line-parameters of the electrical distribution network, based on the voltage profile using an on-line convex optimization technique and a Gauss-Seidel technique, wherein the line-parameters of the electrical distribution network comprises a line resistance of each line of the plurality of lines and a line reactance of each line of the plurality of lines;
• determine a stable control signal for each bus of the plurality of buses, that stabilizes a voltage of the electrical distribution network, for each time-step, based on the line-parameters, using a non-convex optimization technique;
• evaluate a stable voltage and a reactive power injection for each bus, at each time-step, using the stable control signal associated to each bus;
• and
• stabilize a voltage stabilizing of the electrical distribution network in real-time, by utilizing the stable voltage evaluated for each bus at each time-step.

One or more non-transitory machine-readable information storage mediums comprising one or more instructions which when executed by one or more hardware processors cause:

• obtaining a load data, a distributed energy resources (DER) data, and a network data of an electrical distribution network whose voltage is to be controlled in a real-time, wherein the load data and the DER data are obtained at each time-step of a plurality of time-steps for a predefined time period, and wherein the electrical distribution network is associated with a plurality of consumers and comprises (i) a plurality of buses and a plurality of lines connected to the plurality of buses, (ii) one or more distributed energy resources present at one or more buses of the plurality of buses, and (iii) one or more network loads present at one or more buses of the plurality of buses, and wherein the load data at each time-step comprises a load active power consumption and a load reactive power consumption at the one or more buses of the plurality of buses, the DER data at each time-step comprises a DER active power generation and a DER reactive power generation, and the network data comprises of a line resistance and a line reactance of each line of the plurality of lines;
• simulating the electrical distribution network based on the load data, the DER data, and the network data using a non-linear power flow model, to obtain a voltage profile at each time-step of the electrical distribution network, wherein the voltage profile at each time-step comprises a voltage magnitude data at the plurality of buses;
• predicting line-parameters of the electrical distribution network, based on the voltage profile using an on-line convex optimization technique and a Gauss-Seidel technique, wherein the line-parameters of the electrical distribution network comprises a line resistance of each line of the plurality of lines and a line reactance of each line of the plurality of lines;
• determining a stable control signal for each bus of the plurality of buses, that stabilizes a voltage of the electrical distribution network, at each time-step, based on the line-parameters, using a non-convex optimization technique;
• evaluating a stable voltage and a reactive power injection for each bus, at each time-step, using the stable control signal associated to each bus;
• stabilizing a voltage stabilizing of the electrical distribution network in real-time by utilizing the stable voltage evaluated for each bus at each time-step;
• and
• determining a finite error stability bound of the electrical distribution network, resulted from the stable voltage evaluated for the voltage stabilizing of the electrical distribution network.