The invention provides an IPFC topology and its steady-state modeling method for power flow control of parallel double-circuit transmission lines, the topology comprises a plurality of voltage sourceconverters, Using IPFC cross-topology connection method, A line active pow command value P (i) ref1 ( / i) and a reactive power command value Q (i) ref1 ( / i) are adopt as control targets in a parallel double-circuit main control line, In the parallel double-circuit auxiliary control line, the active power command value P (i) ref2 ( / i) is adopted as the control objective, which realizes the flexiblecontrol of the main control line power flow and the active power of the auxiliary control line. When IPFC equipment controls line power flows, the reactive power of auxiliary control line is uncontrollable, which easily causes the circulating current problem of parallel double-circuit auxiliary control line. The topology structure provided by the invention adopts the cross topology connection method of the IPFC, The decoupling of the DC side between the parallel double-circuit main control line and the parallel double-circuit auxiliary control line can effectively avoid the circulating currentproblem of the auxiliary control line in the traditional IPFC topology, realize the stable and effective power flow control of the parallel double-circuit line, and ensure the safe and effective operation of the power network.