function [F_BUS, T_BUS, BR_R, BR_X, BR_B, RATE_A, RATE_B, ...
	RATE_C, TAP, SHIFT, BR_STATUS, PF, QF, PT, QT, MU_SF, MU_ST] = idx_brch
%IDX_BRCH   Defines variables for column indices to branch.
%   [F_BUS, T_BUS, BR_R, BR_X, BR_B, RATE_A, RATE_B, ...
%   RATE_C, TAP, SHIFT, BR_STATUS, PF, QF, PT, QT, MU_SF, MU_ST] = idx_brch

%   MATPOWER Version 2.0
%   by Ray Zimmerman, PSERC Cornell    9/19/97
%   Copyright (c) 1996, 1997 by Power System Engineering Research Center (PSERC)
%   See http://www.pserc.cornell.edu/ for more info.

%% define the indices
F_BUS		= 1;	%% f, from bus number
T_BUS		= 2;	%% t, to bus number
BR_R		= 3;	%% r, resistance (p.u.)
BR_X		= 4;	%% x, reactance (p.u.)
BR_B		= 5;	%% b, total line charging susceptance (p.u.)
RATE_A		= 6;	%% rateA, MVA rating A (long term rating)
RATE_B		= 7;	%% rateB, MVA rating B (short term rating)
RATE_C		= 8;	%% rateC, MVA rating C (emergency rating)
TAP			= 9;	%% ratio, transformer off nominal turns ratio
SHIFT		= 10;	%% angle, transformer phase shift angle
BR_STATUS	= 11;	%% initial branch status, 1 - in service, 0 - out of service

%% included in power flow solution, not necessarily in input
PF			= 12;	%% real power injected at "from" bus end (MW)		(not in PTI format)
QF			= 13;	%% reactive power injected at "from" bus end (MVAR)	(not in PTI format)
PT			= 14;	%% real power injected at "to" bus end (MW)			(not in PTI format)
QT			= 15;	%% reactive power injected at "to" bus end (MVAR)	(not in PTI format)

%% included in opf solution, not necessarily in input
%% assume objective function has units, u
MU_SF		= 16;	%% Kuhn-Tucker multiplier on MVA limit at "from" bus (u/MVA)
MU_ST		= 17;	%% Kuhn-Tucker multiplier on MVA limit at "to" bus (u/MVA)

return;