Power system optimization using hierarchical clusters

A method of determining an optimal power profile for a plurality of clusters of a power system having one or more energy storage units, the method comprising:

• receiving, from a first cluster by a second cluster via a communication network, (i) a first power flow schedule determined by the first cluster and (ii) net power exchange bounds of the first cluster, wherein each cluster comprises a different section of the power system;
• determining, locally within the second cluster, a second power flow schedule based on (i) collective net power exchange bounds of the plurality of clusters including the net power exchange bounds of the first cluster, (ii) a forecast power supply of the plurality of clusters, and (iii) a forecast power demand schedule, wherein the first cluster and the second cluster are hierarchically arranged such that the second cluster is higher in a hierarchy than the first cluster;
• providing, to the first cluster from the second cluster via the communication network after the determining, the second power flow schedule;
• and
• controlling power output of the first cluster using the second power flow schedule.

A system for determining an optimal power profile for a plurality of clusters of a power system having one or more energy storage units, the system comprising:

• at least one data processor;
• memory storing instructions, which when executed by at least one data processor, result in operations comprising:
• determining, locally within a first cluster of the plurality of clusters, a first power flow schedule of the first cluster by calculating sensitivity of the net power exchange bounds of the first cluster, wherein each cluster comprises a different section of the power system;
• providing, by the first cluster to a second cluster via a communication network after the determining, (i) the first power flow schedule and (ii) the net power exchange bounds of the first cluster for determination of a second power flow schedule by the second cluster based on (i) collective net power exchange bounds of the plurality of clusters, (ii) a forecast power supply of the plurality of clusters, and (iii) a forecast power demand schedule, wherein the first cluster and the second cluster are hierarchically arranged such that the second cluster is higher in a hierarchy than the first cluster;
• receiving, by the first cluster from the second cluster after the providing, the second power flow schedule;
• adjusting, after the receiving, locally within the first cluster, the first power flow schedule based on the second power schedule and the net power exchange bounds of the first cluster;
• and
• controlling power output of the first cluster using the adjusted first power flow schedule.

A system for determining an optimal power profile for a plurality of clusters of a power system having one or more energy storage units, the system comprising:

• at least one data processor;
• memory storing instructions, which when executed by at least one data processor, result in operations comprising:
• receiving, from a first cluster by a second cluster via a communication network, (i) a first power flow schedule determined by the first cluster and (ii) net power exchange bounds of the first cluster, wherein each cluster comprises a different section of the power system;
• determining, locally within the second cluster, a second power flow schedule based on (i) collective net power exchange bounds of the plurality of clusters including the net power exchange bounds of the first cluster, (ii) a forecast power supply of the plurality of clusters, and (ii) a forecast power demand schedule, wherein the first cluster and the second cluster are hierarchically arranged such that the second cluster is higher in a hierarchy than the first cluster;
• providing, to the first cluster from the second cluster via the communication network after the determining, the second power flow schedule;
• and
• controlling power output of the first cluster using the second power flow schedule.