Optimal controlled islanding considering frequency‐arresting and frequency‐stabilising constraints: A graph theory‐assisted approach
Abstract The optimal controlled islanding of power systems is a practical solution to prevent system blackouts if the boundary of islands and corrective control actions in each island are carefully specified. This paper establishes a model for the controlled islanding problem by a proposed mixed int...
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2021-07-01
|
| Series: | IET Generation, Transmission & Distribution |
| Subjects: | |
| Online Access: | https://doi.org/10.1049/gtd2.12154 |
| _version_ | 1818065473164541952 |
|---|---|
| author | Sabah Daniar Farrokh Aminifar Mohammad Reza Hesamzadeh Hamid Lesani |
| author_facet | Sabah Daniar Farrokh Aminifar Mohammad Reza Hesamzadeh Hamid Lesani |
| author_sort | Sabah Daniar |
| collection | DOAJ |
| description | Abstract The optimal controlled islanding of power systems is a practical solution to prevent system blackouts if the boundary of islands and corrective control actions in each island are carefully specified. This paper establishes a model for the controlled islanding problem by a proposed mixed integer linear program (MILP). The frequency‐arresting (FA) and frequency‐stabilising (FS) constraints are linearised and incorporated in our FA‐FS‐constrained MILP model to prevent triggering of load shedding (LS) relays. This achievement makes our model capable of handling low‐inertia networks. Intentional LS and stepwise generation curtailment are corrective actions accommodated for frequency control and power mismatch considerations. These corrective actions increase the degree of freedom and broaden the feasible space of the MILP model under the envisaged tough operating conditions. Our model's computational efficiency is improved using a proposed graph theory‐based network reduction technique. The basic groups of coherent generators, determined in the offline mode, are aggregated as equivalent buses using an extended Steiner tree method. A graph‐path determination technique is also proposed to generate disconnection constraints (between equivalent buses of incoherent areas) and bus‐allocation constraints. Simulation results on the IEEE 39‐bus test system and a 76‐bus case study verify the proposed network reduction technique's effectiveness and the MILP model. |
| first_indexed | 2024-12-10T14:52:27Z |
| format | Article |
| id | doaj.art-66590a90df0d4d6a8df385d43a843a13 |
| institution | Directory Open Access Journal |
| issn | 1751-8687 1751-8695 |
| language | English |
| last_indexed | 2024-12-10T14:52:27Z |
| publishDate | 2021-07-01 |
| publisher | Wiley |
| record_format | Article |
| series | IET Generation, Transmission & Distribution |
| spelling | doaj.art-66590a90df0d4d6a8df385d43a843a132022-12-22T01:44:24ZengWileyIET Generation, Transmission & Distribution1751-86871751-86952021-07-0115142044206010.1049/gtd2.12154Optimal controlled islanding considering frequency‐arresting and frequency‐stabilising constraints: A graph theory‐assisted approachSabah Daniar0Farrokh Aminifar1Mohammad Reza Hesamzadeh2Hamid Lesani3School of Electrical and Computer Engineering University of Tehran Tehran IranSchool of Electrical and Computer Engineering University of Tehran Tehran IranSchool of Electrical Engineering and Computer Science KTH Royal Institute of Technology Stockholm SwedenSchool of Electrical and Computer Engineering University of Tehran Tehran IranAbstract The optimal controlled islanding of power systems is a practical solution to prevent system blackouts if the boundary of islands and corrective control actions in each island are carefully specified. This paper establishes a model for the controlled islanding problem by a proposed mixed integer linear program (MILP). The frequency‐arresting (FA) and frequency‐stabilising (FS) constraints are linearised and incorporated in our FA‐FS‐constrained MILP model to prevent triggering of load shedding (LS) relays. This achievement makes our model capable of handling low‐inertia networks. Intentional LS and stepwise generation curtailment are corrective actions accommodated for frequency control and power mismatch considerations. These corrective actions increase the degree of freedom and broaden the feasible space of the MILP model under the envisaged tough operating conditions. Our model's computational efficiency is improved using a proposed graph theory‐based network reduction technique. The basic groups of coherent generators, determined in the offline mode, are aggregated as equivalent buses using an extended Steiner tree method. A graph‐path determination technique is also proposed to generate disconnection constraints (between equivalent buses of incoherent areas) and bus‐allocation constraints. Simulation results on the IEEE 39‐bus test system and a 76‐bus case study verify the proposed network reduction technique's effectiveness and the MILP model.https://doi.org/10.1049/gtd2.12154Optimisation techniquesFrequency controlControl of electric power systemsCombinatorial mathematicsOptimisation techniquesCombinatorial mathematics |
| spellingShingle | Sabah Daniar Farrokh Aminifar Mohammad Reza Hesamzadeh Hamid Lesani Optimal controlled islanding considering frequency‐arresting and frequency‐stabilising constraints: A graph theory‐assisted approach IET Generation, Transmission & Distribution Optimisation techniques Frequency control Control of electric power systems Combinatorial mathematics Optimisation techniques Combinatorial mathematics |
| title | Optimal controlled islanding considering frequency‐arresting and frequency‐stabilising constraints: A graph theory‐assisted approach |
| title_full | Optimal controlled islanding considering frequency‐arresting and frequency‐stabilising constraints: A graph theory‐assisted approach |
| title_fullStr | Optimal controlled islanding considering frequency‐arresting and frequency‐stabilising constraints: A graph theory‐assisted approach |
| title_full_unstemmed | Optimal controlled islanding considering frequency‐arresting and frequency‐stabilising constraints: A graph theory‐assisted approach |
| title_short | Optimal controlled islanding considering frequency‐arresting and frequency‐stabilising constraints: A graph theory‐assisted approach |
| title_sort | optimal controlled islanding considering frequency arresting and frequency stabilising constraints a graph theory assisted approach |
| topic | Optimisation techniques Frequency control Control of electric power systems Combinatorial mathematics Optimisation techniques Combinatorial mathematics |
| url | https://doi.org/10.1049/gtd2.12154 |
| work_keys_str_mv | AT sabahdaniar optimalcontrolledislandingconsideringfrequencyarrestingandfrequencystabilisingconstraintsagraphtheoryassistedapproach AT farrokhaminifar optimalcontrolledislandingconsideringfrequencyarrestingandfrequencystabilisingconstraintsagraphtheoryassistedapproach AT mohammadrezahesamzadeh optimalcontrolledislandingconsideringfrequencyarrestingandfrequencystabilisingconstraintsagraphtheoryassistedapproach AT hamidlesani optimalcontrolledislandingconsideringfrequencyarrestingandfrequencystabilisingconstraintsagraphtheoryassistedapproach |