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The main object of this paper is to present a sequential method of adjusting the operating point of converters within the framework of harmonic power flows. To do that, a unified formulation of previous work in the frequency domain have been developed, resulting in a set of compact and powerful analytical expressions for ac and dc magnitudes. Special attention has been paid to uncontrolled rectifiers. The proposed sequential method offers a more flexible and modular framework where ac and/or dc magnitudes can be used for defining the operating point. Moreover, it provides better convergence properties for Iterative Harmonic Analysis (IHA). Newton's method or Gauss's method can be applied for IHA without special considerations. Finally, the solution obtained has been verified by means of time domain simulation and measurements.

Static VAr compensator (SVC) with thyristorc o n t d e d reactors (TcR) are used to coned the voltage at bus s v c , while the non~inear harmonic source is connected to the TCR busbar. This specific situation requires special treatment of the voltage control characteristic in the iterative harmonic analysis to the TCR busbar is the IHA is treated in a way so the firing angle is adjusted to satisfy L. Zabala (Non member) Iberdrola S.A. Gardoqui 8, Bilbao (Spain) Jose Gutidrrez Abascal2, Madrid (Spain) means of a scheme of adjusting iteratively the conduction angle of the TCR However, the IHA process does not considem coupling beween harmonics. other works [91, within the hework of the harmonic domain or the Hartley's domain respectively, wtion of the SVC is not co~~idered-this cross coupling is A voltage control &-isticproposed. Under a i s conditions, the operating point of the TCR in but a Predaminated firing angle is defined, i.e., the control the voltage regulation characteristic. In this paper, a fiequency domain TCR model is presented by m a s of a set of analytical expressions for harmonic currents and their sensitivities with respect to the harmonic voltages. An additional nonlinear equation is also derived for obtaining the firing angle under distorted voltage. A scheme of checking coherent operating points of TCR is also included for IHA.

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