Journal
IEEE TRANSACTIONS ON POWER SYSTEMS
Volume 35, Issue 6, Pages 4622-4631Publisher
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TPWRS.2020.2999415
Keywords
Power system stability; Stability analysis; Fractional calculus; Voltage control; Numerical models; Control systems; Fractional Order Controllers (FOCs); power system stability; Oustaloup' s Recursive Approximation (ORA); frequency regulation; voltage regulation
Categories
Funding
- Science Foundation Ireland
- [SFI/15/IA/3074]
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The paper presents the theoretical foundation and practical implementation aspects of Fractional Order Controllers (FOCs) for power system applications. With this aim, the paper provides a comprehensive mathematical background on the stability analysis of dynamic systems with inclusion of fractional order derivatives and discusses their software implementation based on the Oustaloups Recursive Approximation (ORA) method. Then the paper illustrates a variety of examples of ORA-based FOCs, namely, automatic generation control of synchronous machines; frequency control of a converter-interfaced energy storage system; and voltage control through a static synchronous compensator. The WSCC 9-bus test system and a realistic 1,479-bus model of the Irish transmission system are employed to test and compare the examined FOCs with their integer-order versions.
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