Journal
IEEE TRANSACTIONS ON POWER SYSTEMS
Volume 37, Issue 4, Pages 3129-3132Publisher
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TPWRS.2022.3164590
Keywords
Transformers; Integrated circuit modeling; Voltage; Thyristors; Reactive power; Power transmission lines; Power capacitors; Optimal power flow; flexible line impedance; convex relaxation; grid flexibility
Categories
Funding
- HKU Seed Fund for Basic Research for New Staff [202009185007]
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This paper develops a convexification method for the AC optimal power flow problem with flexible line impedances. The method improves the solution tractability and optimality by reformulating the problem as a semi-definite program using a circuit equivalent of the flexible-impedance line.
Flexible transmission line impedances on one hand are a promising control resource for facilitating grid flexibility, but on the other hand add much complexity to the concerned optimization problems. This paper develops a convexification method for the AC optimal power flow with flexible line impedances. First, it is discovered that a flexible-impedance line is equivalent to a constant-impedance line linking a pair of transformers with correlated and continuously adjustable tap ratios. Then, with this circuit equivalent, the original optimization problem is reformulated into a semi-definite program under the existing convex relaxation framework, which improves the solution tractability and optimality in an easy-to-implement manner. The proposed method is verified by numerical tests on the IEEE 118-bus system.
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