Properties of State Estimation for Power System with Quadrature Booster in Rectangular Coordinates

Abstract

The paper presents a state estimation of a power system with a phase shifter. A new versatile model of the phase shifter for steady state analyses is introduced. The mentioned model allows for consideration of different types of phase shifters. In the paper, original investigations of properties of the state estimation for a power system with a quadrature booster (to be one of types of phase shifters) are performed. The state estimation is considered in the rectangular coordinate system. During the investigations, impact of data redundancy on such parameters of the state estimation as: the number of iterations, a condition number of a coefficient matrix, parameters characterizing accuracy of calculation results are taken into account. At the end of the paper, conclusions from the conducted investigations are presented.

Impact of Quadrature Booster on Power-System State Estimation in Polar Coordinates

“…However, it is important how big the differences are, so whether it is rational to look for more favorable state-estimation solutions for a system with the phase shifter. The research results, which are presented in [11], indicate that the previously mentioned differences should be considered significant.…”

“…Paper [10] describes the power system state estimation assuming the use of a phase shifter model consisting of an ideal series voltage source and an ideal shunt current source. The use of two real voltage sources, i.e., a serial source and a shunt source in the phase shifter model for the state estimation purposes is described in [11][12][13][14][15]. Papers [11][12][13] deal with the state estimation for a power system with a quadrature booster.…”

“…The use of two real voltage sources, i.e., a serial source and a shunt source in the phase shifter model for the state estimation purposes is described in [11][12][13][14][15]. Papers [11][12][13] deal with the state estimation for a power system with a quadrature booster. In [14,15], a power system with the symmetrical phase shifter is considered.…”

“…In [5][6][7]9,10] nothing is said about the quantitative assessment of the influence of the phase shifter on state estimation. Such an assessment is carried out in papers [8,[11][12][13][14][15]. In [12,13,15], the properties of the estimation are examined when complete information about the phase shifter is included in it, i.e., information that also includes information about the type of the phase shifter.…”

“…Papers [11,12] consider the state estimation in the rectangular coordinate system. In [11], the properties of the state estimation for a system with a phase shifter are compared with the properties of the state estimation for a system without the phase shifter. When a phase shifter is included in the power-system model, the complexity of the model increases.…”