Patent ID: 11923685
Assignee: TSINGHUA UNIVERSITY
Field: Electrical machinery, apparatus, energy (Electrical engineering)
Classification: CPC H  G  Y | IPC G  H

Claim 1:
2. The method of claim 1, wherein the plurality of distribution network constraints comprise a second power flow constraint, a second power input equilibrium constraint, a voltage drop constraint, a second voltage limit constraint, a second power output constraint, and a second line capacity constraint;
wherein the second power flow constraint is represented as:

PDk,ij2+QDk,ij2=vDk,ilDk,ij,∀ij∈ILDk,∀k∈ID 

where IGDk represents a set of indexes of branches in a kth distribution network of the plurality of distribution networks, ID represents a set of indexes of the plurality of distribution networks, PDk,ij represents an active power flowing from an ith bus to a jth bus in the kth distribution network, QDk,ij represents a reactive power flowing from an ith bus to a jth bus in the kth distribution network, VDk,i represents a square of a voltage magnitude of the ith bus in the kth distribution network, lDk,ij represents a square of a current magnitude of an (ij)th branch in the kth distribution network;
wherein the second power input equilibrium constraint is represented as:, ∑
            
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where IGDk,i represents a set of indexes of generators connected to the ith bus in the kth distribution network, IBDk represents a set of indexes of buses in the kth distribution network, PDk,jG represents an active power of a jth generator, PDk,ji epresents an active power flowing from the jth bus to the ith bus in the kth distribution network, lDk,ji represents a square of a current magnitude of a (ji)th branch in the kth distribution network, RDk,ji represents a resistance of the (ji)th branch in the kth distribution network, PDk,iD represents an active load of the ith bus in the kth distribution network, QDk,jG represents a reactive power of the jth generator, QDk,ji represents a reactive power flowing from jth bus to the ith bus in the kth distribution network, XDk,ji represents a reactance of the (ji)th branch in the kth distribution network and QDk,iD represents a reactive load of the ith bus in the kth distribution network;
wherein the voltage drop constraint is represented as:

vDk,j=vDk,i−2(RDk,ijPDk,ij+XDk,ijQDk,ij)+(RDk,ij2+XDk,ij2)lDk,ij,∀ij∈ILDk,∀k∈ID 

where vDk,j represents a square of a voltage magnitude of the jth bus in the kth distribution network, RDk,ij represents a resistance of the (ij)th branch in the kth distribution network, and XDk,ij represents a reactance of the (ij)th branch in the kth distribution network;
wherein the second voltage limit constraint is represented as:

vDk,i≤vDk,i≤vDk,i,∀i∈IBDk,∀k∈ID 

where vDk,i represents a lower limit of the square of the voltage magnitude of the ith bus in the kth distribution network, and vDk,i represents an upper limit of the square of the voltage magnitude of the ith bus in the kth distribution network;
wherein the second power output constraint is represented as:

PDk,iG≤PDk,iG≤PDk,iG,QDk,iG≤QDk,iG≤QDk,iG,∀i∈IGDk,∀k∈ID 

where IGDk represents a set of indexes of generators in the kth distribution network, PDk,iG represents a lower limit of the active power of an ith generator, and PDk,iG represents an upper limit of the active power of the ith generator, QDk,iG represents a lower limit of the reactive power of the ith generator, and QDk,iG represents an upper limit of the reactive power of the ith generator;
wherein the second line capacity constraint is represented as:

lDk,ij≤lDk,ij,∀ij∈ILDk,∀k∈ID 

where lDk,ij represents an upper limit of the square of the current magnitude of the (ij)th branch in the kth distribution network.