Methods and systems for determining distribution grid hosting capacity

An apparatus comprising:

• a memory having computer-executable instructions encoded thereon;
• and
• a processor functionally coupled to the memory and configured, by the computer-executable instructions, to cause the apparatus to:
• identify a topology and of a radial distribution grid, wherein the topology of the radial distribution grid comprises a plurality of distribution buses and a plurality of distributed generators;
• identify, based on the topology, a set of performance parameters for the radial distribution grid;
• determine, based on one or more voltage magnitudes and phase angles at one or more of the plurality of distribution buses, a lossless power flow model for the radial distribution grid;
• determine, based on the lossless power flow model, a maximum hosting capacity of the radial distribution grid;
• and
• determine, based on the maximum hosting capacity and the set of performance parameters, a number of distributed generators that the radial distribution grid can host.

A method comprising:

• identifying a topology of a radial distribution grid, wherein the topology of the radial distribution grid comprises a plurality of distribution buses and a plurality of distributed generators;
• identifying, based on the topology, a set of performance parameters for the radial distribution grid;
• determining, based on one or more voltage magnitudes and phase angles at one or more of the plurality of distribution buses, a lossless power flow model for the radial distribution grid;
• determining, based on the lossless power flow model, a maximum hosting capacity for each of the plurality of distribution buses and an aggregate hosting capacity of the radial distribution grid, wherein the aggregate hosting capacity is a summation of the maximum hosting capacity for each of the one or more distribution buses;
• and
• determining, based on the maximum hosting capacity, the aggregate hosting capacity, and the set of performance parameters, a number of distributed generators that the radial distribution grid can host.