Synchronous Condenser Placement for Multiple HVDC Power Systems Considering Short-Circuit Ratio Requirements
High voltage direct current (HVDC) power injections decrease power systems' short-circuit ratio (SCR) and the grid strength. They may cause voltage stability problems, especially in systems with a high share of renewable. The synchronous condenser (SynCon) is a promising solution for increasing...
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| Veröffentlicht in: | IEEE transactions on power systems 2025-01, Vol.40 (1), p.765-779 |
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| creator | Wang, Jiaxin Zhang, Jiawei Hou, Qingchun Zhang, Ning |
| description | High voltage direct current (HVDC) power injections decrease power systems' short-circuit ratio (SCR) and the grid strength. They may cause voltage stability problems, especially in systems with a high share of renewable. The synchronous condenser (SynCon) is a promising solution for increasing the SCR. However, planning SynCons to meet the SCR requirements is challenging since the SCR requirement is a set of nonlinear eigenvalue inequality constraints that are not friendly to solvers. Based on generalized spectral decomposition, this paper proposes a Rayleigh cut method to equivalently transform eigenvalue inequality constraints into a set of linear constraints. Then, a mixed-integer linear programming model is built to solve the SCR-constrained SynCon placement problem. The proposed approach's convergence, complexity, and error analysis are all analyzed theoretically. Also, numerical comparisons with the other seven models suggest the proposed model is effective and efficient, outperforming the other models in terms of solution quality and computation time. |
| doi_str_mv | 10.1109/TPWRS.2024.3404116 |
| format | Article |
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They may cause voltage stability problems, especially in systems with a high share of renewable. The synchronous condenser (SynCon) is a promising solution for increasing the SCR. However, planning SynCons to meet the SCR requirements is challenging since the SCR requirement is a set of nonlinear eigenvalue inequality constraints that are not friendly to solvers. Based on generalized spectral decomposition, this paper proposes a Rayleigh cut method to equivalently transform eigenvalue inequality constraints into a set of linear constraints. Then, a mixed-integer linear programming model is built to solve the SCR-constrained SynCon placement problem. The proposed approach's convergence, complexity, and error analysis are all analyzed theoretically. 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They may cause voltage stability problems, especially in systems with a high share of renewable. The synchronous condenser (SynCon) is a promising solution for increasing the SCR. However, planning SynCons to meet the SCR requirements is challenging since the SCR requirement is a set of nonlinear eigenvalue inequality constraints that are not friendly to solvers. Based on generalized spectral decomposition, this paper proposes a Rayleigh cut method to equivalently transform eigenvalue inequality constraints into a set of linear constraints. Then, a mixed-integer linear programming model is built to solve the SCR-constrained SynCon placement problem. The proposed approach's convergence, complexity, and error analysis are all analyzed theoretically. Also, numerical comparisons with the other seven models suggest the proposed model is effective and efficient, outperforming the other models in terms of solution quality and computation time.</description><subject>Admittance</subject><subject>Computational modeling</subject><subject>Constraints</subject><subject>Direct current</subject><subject>eigenvalue inequality constraint</subject><subject>Eigenvalues</subject><subject>Eigenvalues and eigenfunctions</subject><subject>Electric power systems</subject><subject>Error analysis</subject><subject>HVDC transmission</subject><subject>Integer programming</subject><subject>Linear matrix inequalities</subject><subject>Linear programming</subject><subject>Mixed integer</subject><subject>Placement</subject><subject>Programming</subject><subject>Rayleigh cut constraint</subject><subject>Short circuits</subject><subject>short-circuit ratio</subject><subject>Synchronous condenser placement</subject><subject>Vectors</subject><subject>Voltage stability</subject><issn>0885-8950</issn><issn>1558-0679</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2025</creationdate><recordtype>article</recordtype><sourceid>RIE</sourceid><recordid>eNpNkMtOwzAQAC0EEqXwA4iDJc4p68R24iMKjyIVUTUFjlbqONRVGre2I9S_J30cOO1hZ3alQeiWwIgQEA_z6fesGMUQ01FCgRLCz9CAMJZFwFNxjgaQZSzKBINLdOX9CgB4vxigpti1aulsazuPc9tWuvXa4WlTKr3WbcC1dfi9a4LZNBqPv55yPLW_PVHsfNDrg-NNpZ1pf3CxtC5EuXGqMwHPymAsnultZ9zhlr9GF3XZeH1zmkP0-fI8z8fR5OP1LX-cRCqmaYjqjFDFKCX1gqqS8IpBmcWKiLSiFamBpRUsKFRlXaYirRWPhUiIUBxUklFNkiG6P97dOLvttA9yZTvX9i9lQlic8qTHeyo-UspZ752u5caZdel2koDcV5WHqnJfVZ6q9tLdUTJa638CSzjncfIHc5d1FA</recordid><startdate>20250101</startdate><enddate>20250101</enddate><creator>Wang, Jiaxin</creator><creator>Zhang, Jiawei</creator><creator>Hou, Qingchun</creator><creator>Zhang, Ning</creator><general>IEEE</general><general>The Institute of Electrical and Electronics Engineers, Inc. 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They may cause voltage stability problems, especially in systems with a high share of renewable. The synchronous condenser (SynCon) is a promising solution for increasing the SCR. However, planning SynCons to meet the SCR requirements is challenging since the SCR requirement is a set of nonlinear eigenvalue inequality constraints that are not friendly to solvers. Based on generalized spectral decomposition, this paper proposes a Rayleigh cut method to equivalently transform eigenvalue inequality constraints into a set of linear constraints. Then, a mixed-integer linear programming model is built to solve the SCR-constrained SynCon placement problem. The proposed approach's convergence, complexity, and error analysis are all analyzed theoretically. 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| subjects | Admittance Computational modeling Constraints Direct current eigenvalue inequality constraint Eigenvalues Eigenvalues and eigenfunctions Electric power systems Error analysis HVDC transmission Integer programming Linear matrix inequalities Linear programming Mixed integer Placement Programming Rayleigh cut constraint Short circuits short-circuit ratio Synchronous condenser placement Vectors Voltage stability |
| title | Synchronous Condenser Placement for Multiple HVDC Power Systems Considering Short-Circuit Ratio Requirements |
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