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Defines constants for named column indices to branch matrix.
Some examples of usage, after defining the constants using the line above, are:
branch[3, BR_STATUS] = 0 # take branch 4 out of service Ploss = branch[:, PF] + branch[:, PT] # compute real power loss vector
The index, name and meaning of each column of the branch matrix is given below:
columns 0-10 must be included in input matrix (in case file)
F_BUS
from bus number
T_BUS
to bus number
BR_R
resistance (p.u.)
BR_X
reactance (p.u.)
BR_B
total line charging susceptance (p.u.)
RATE_A
MVA rating A (long term rating)
RATE_B
MVA rating B (short term rating)
RATE_C
MVA rating C (emergency rating)
TAP
transformer off nominal turns ratio
SHIFT
transformer phase shift angle (degrees)
BR_STATUS
initial branch status, 1 - in service, 0 -
out of service
ANGMIN
minimum angle difference, angle(Vf) -
angle(Vt) (degrees)
ANGMAX
maximum angle difference, angle(Vf) -
angle(Vt) (degrees)
columns 13-16 are added to matrix after power flow or OPF solution they are typically not present in the input matrix
PF
real power injected at "from" bus
end (MW)
QF
reactive power injected at "from"
bus end (MVAr)
PT
real power injected at "to" bus
end (MW)
QT
reactive power injected at "to"
bus end (MVAr)
columns 17-18 are added to matrix after OPF solution they are typically not present in the input matrix
(assume OPF objective function has units, u
)
MU_SF
Kuhn-Tucker multiplier on MVA limit at
"from" bus (u/MVA)
MU_ST
Kuhn-Tucker multiplier on MVA limit at
"to" bus (u/MVA)
columns 19-20 are added to matrix after SCOPF solution they are typically not present in the input matrix
(assume OPF objective function has units, u
)
MU_ANGMIN
Kuhn-Tucker multiplier lower angle
difference limit
MU_ANGMAX
Kuhn-Tucker multiplier upper angle
difference limit
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