This paper presents the development of mathematical models for thyristor co
ntrolled series compensator (TCSC), for voltage regulator devices and for r
emote bus voltage control that are suitable to be used with the three-phase
current injection method (TCIM) for power now calculation. TOM is a Newton
method where the equations are written in rectangular coordinates resultin
g in a 6n x 6n Jacobian matrix. The representation of a control device requ
ires an augmented system of equations to incorporate the additional relatio
nship between each control action and the controlled variable, resulting in
an augmented Jacobian matrix. Practical distribution systems are tested an
d the effectiveness of the proposed formulation is demonstrated.