A complex power system with N generators was reduced to the internal nodes. The magnitude of the internal voltage behind the stator reactances (E1, E2....En) are also specfied. The parameters of the swing equation for all the machines are also known except the electrical power output Pei. Please 1) what is the best way to determine the steady state angles considering their interrelationship? 2) Must a refrence node be assigned?
Thank you
You have built an equation system with n unknowns and n given equations, i.e., this is a classical root finding problem.
This is pretty common as part of power flow equations models. You can either use standard solvers such as Newton-Raphson (cf. https://en.wikipedia.org/wiki/Power-flow_study)or you could model your problem in any open-source power flow model framework to let the simulation framework solve the equations for you, e.g. , https://github.com/lanl-ansi/PowerModels.jlor https://github.com/e2nIEE/pandapower
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