Abstract
Harmonic resonance may cause abnormal operation and even damage of power facilities, further threatening normal and safe operation of power systems. For renewable energy generations, controlled loads and parallel reactive power compensating equipment, their operating statuses can vary frequently. Therefore, the parameters of equivalent fundamental and harmonic admittance/impedance of these components exist in uncertainty, which will change the elements and eigenvalues of harmonic network admittance matrix. Consequently, harmonic resonance in power grid is becoming increasingly more complex. Hence, intense research about prevention and suppression of harmonic resonance, particularly the parameter feasible domain (PFD) which can keep away from harmonic resonance, are needed. For rapid online evaluation of PFD, a novel method without time-consuming pointwise precise eigenvalue computations is proposed. By analyzing the singularity of harmonic network admittance matrix, the explicit sufficient condition that the matrix elements should meet to prevent harmonic resonance is derived by the extended Gersgorin theorem. Further, via the non-uniqueness of similar transformation matrix (STM), a strategy to determine the appropriate STM is proposed to minimize the conservation of the obtained PFD. Eventually, the availability and advantages in computation efficiency and conservation of the method, are demonstrated through four different scale benchmarks.
Highlights
Harmonic resonance, which is always accompanied with heavy current and high voltage [1], is a main power quality issue in power grids
To obtain parameter feasible domain (PFD), the method based upon harmonic resonance mode analysis (HRMA) technique [7,8,9]
Based on the thought of eigenvalue estimation, Gersgorin theorem is introduced in this paper to research PFD to ensure the prevention of harmonic resonance
Summary
Harmonic resonance, which is always accompanied with heavy current and high voltage [1], is a main power quality issue in power grids. Energies 2017, 10, 1612 the typology of power grid may change frequently to guarantee the requirements of economic or security dispatch It will change harmonic network admittance matrix as well. To obtain PFD, the method based upon harmonic resonance mode analysis (HRMA) technique [7,8,9]. Based on the thought of eigenvalue estimation, Gersgorin theorem is introduced in this paper to research PFD to ensure the prevention of harmonic resonance. By analyzing the singularity of harmonic network admittance matrix, the sufficient condition to prevent harmonic resonance is derived via the extended Gersgorin theorem.
Sign-in/Register to view highlights & summary Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
