On Eigenvalues of the Three-Phase Nodal Admittance Matrix

2019 ◽  
Author(s):  
Giovanni M. Casolino ◽  
Arturo Losi
Keyword(s):  
Admittance Matrix ◽  
Three Phase

scholarly journals Three-phase distribution transformer connections modeling based on matrix operation method by phase-coordinates

2021 ◽  
Vol 2021 (1) ◽  
Author(s):  
Zhigang Zhang ◽  
Mingrui Mo ◽  
Caizhu Wu
Keyword(s):  
Phase Distribution ◽  
Positive Sequence ◽  
Matrix Operation ◽  
Admittance Matrix ◽  
Magnetic Circuits ◽  
Operation Method ◽  
Phase Coordinates ◽  
Three Phase ◽  
The Matrix ◽  
Sequence Parameters

AbstractThis paper proposes a matrix operation method for modeling the three-phase transformer by phase-coordinates. Based on decoupling theory, the 12 × 12 dimension primitive admittance matrix is obtained at first employing the coupling configuration of the windings. Under the condition of asymmetric magnetic circuits, according to the boundary conditions for transformer connections, the transformers in different connections enable to be modeling by the matrix operation method from the primitive admittance matrix. Another purpose of this paper is to explain the differences of the phase-coordinates and the positive sequence parameters in the impedances of the transformers. The numerical testing results in IEEE-4 system show that the proposed method is valid and efficient.

scholarly journals Three-Phase Distribution Transformer Connections Modeling Based on Matrix Operation Method by Phase-coordinates

2020 ◽  
Author(s):  
Zhigang Zhang ◽  
Mingrui Mo ◽  
Caizhu Wu
Keyword(s):  
Phase Distribution ◽  
Positive Sequence ◽  
Matrix Operation ◽  
Admittance Matrix ◽  
Magnetic Circuits ◽  
Operation Method ◽  
Phase Coordinates ◽  
Three Phase ◽  
The Matrix ◽  
Sequence Parameters

Abstract This paper proposes a matrix operation method for modeling the three-phase transformer by phase-coordinates. Based on decoupling theory, the 12x12 dimension primitive admittance matrix is obtained at first employing the coupling configuration of the windings. Under the condition of asymmetric magnetic circuits, according to the boundary conditions for transformer connections, the transformers in different connections enable to be modeling by the matrix operation method from the primitive admittance matrix. Another purpose of this paper is to explain the differences of the phase-coordinates and the positive sequence parameters in the impedances of the transformers. The numerical testing results in IEEE-4 system show that the proposed method is valid and efficient.

Application of Corrected Clarke’s Transformation to the Solution of the Modal Analysis of Un-Transposed Transmission Lines

2013 ◽  
Vol 694-697 ◽  
pp. 803-806
Author(s):  
Qing Chao Zhang ◽  
Peng Jia ◽  
Xin Hua Jia ◽  
Chao Wei
Keyword(s):  
Modal Analysis ◽  
Transmission Lines ◽  
Transformation Matrix ◽  
Matrix Transformation ◽  
Impedance Matrix ◽  
Mode Transformation ◽  
Admittance Matrix ◽  
Three Phase ◽  
Symmetrical Matrices

Clark’s transformation can be used to conduct a modal analysis of perfectly balanced three-phase lines. For un-transposed transmission lines, the parameter matrices of line such as impedance matrix and admittance matrix are no longer symmetrical matrices, so Clark’s transformation can’t be used directly in modal analysis. Nevertheless, it still plays an important role in determining the exact phase-mode transformation matrix. This paper showed how this can be done by a series of matrix transformation starting with Clark’s transformation and then used the corrected Clark’s transformation in modal analysis.

scholarly journals Three-Phase Four-Wire OPF-Based Collaborative Control of PV Inverter and ESS for Low-Voltage Distribution Networks With High Proportion PVs

2021 ◽  
Vol 8 ◽  
Author(s):  
Jinwei Fu ◽  
Tianrui Li ◽  
Shilei Guan ◽  
Yan Wu ◽  
Kexin Tang ◽  
...  
Keyword(s):  
Power Flow ◽  
Optimal Power Flow ◽  
Low Voltage ◽  
Distribution Network ◽  
Distribution Networks ◽  
Voltage Distribution ◽  
Admittance Matrix ◽  
Collaborative Control ◽  
Optimal Power ◽  
Three Phase

The use of photovoltaic reactive power and energy storage active power can solve the problems of voltage violation, network loss, and three-phase unbalance caused by photovoltaic connection to low-voltage distribution networks. However, the three-phase four-wire structure of the low-voltage distribution network brings difficulties to power flow calculation. In order to achieve photovoltaic utilization through optimal power flow, a photovoltaic-energy storage collaborative control method for low-voltage distribution networks based on the optimal power flow of a three-phase four-wire system is proposed. Considering the amplitude and phase angle of voltage and current, a three-phase four-wire node admittance matrix was used to establish the network topology of the low-voltage distribution network. Also, to minimize the network loss, the three-phase unbalance and voltage deviation. a multi-objective optimization model based on three-phase four-wire network topology was established considering the voltage constraints, reverse power flow constraints and neutral line current constraints. Through improving the node admittance matrix and model convexity, the complexity of solving the problem is reduced. The CPLEX algorithm package was used to solve the problem. Based on a 21-bus three-phase four-wire low-voltage distribution network, a 24-h multi-period simulation was undertaken to verify the feasibility and effectiveness of the proposed scheme.

Test of the stability of a three-phase contact line with negative line tension

1999 ◽  
Vol 96 (9) ◽  
pp. 1335-1339 ◽  
Author(s):  
ALAN E. VAN GIESSEN, DIRK JAN BUKMAN, B.
Keyword(s):  
Contact Line ◽  
Line Tension ◽  
Phase Contact ◽  
Three Phase ◽  
The Stability
Sign in / Sign up

Export Citation Format

Share Document