Comparative analysis of existing models for power-grid synchronization
The dynamics of power-grid networks is becoming an increasingly active area of research within the physics and network science communities. The results from such studies are typically insightful and illustrative, but are often based on simplifying assumptions that can be either difficult to assess o...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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IOP Publishing
2015-01-01
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| Series: | New Journal of Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1088/1367-2630/17/1/015012 |
| _version_ | 1797751239981662208 |
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| author | Takashi Nishikawa Adilson E Motter |
| author_facet | Takashi Nishikawa Adilson E Motter |
| author_sort | Takashi Nishikawa |
| collection | DOAJ |
| description | The dynamics of power-grid networks is becoming an increasingly active area of research within the physics and network science communities. The results from such studies are typically insightful and illustrative, but are often based on simplifying assumptions that can be either difficult to assess or not fully justified for realistic applications. Here we perform a comprehensive comparative analysis of three leading models recently used to study synchronization dynamics in power-grid networks—a fundamental problem of practical significance given that frequency synchronization of all power generators in the same interconnection is a necessary condition for a power grid to operate. We show that each of these models can be derived from first principles within a common framework based on the classical model of a generator, thereby clarifying all assumptions involved. This framework allows us to view power grids as complex networks of coupled second-order phase oscillators with both forcing and damping terms. Using simple illustrative examples, test systems, and real power-grid datasets, we study the inherent frequencies of the oscillators as well as their coupling structure, comparing across the different models. We demonstrate, in particular, that if the network structure is not homogeneous, generators with identical parameters need to be modeled as non-identical oscillators in general. We also discuss an approach to estimate the required (dynamical) system parameters that are unavailable in typical power-grid datasets, their use for computing the constants of each of the three models, and an open-source MATLAB toolbox that we provide for these computations. |
| first_indexed | 2024-03-12T16:44:37Z |
| format | Article |
| id | doaj.art-89dad81afd6f48c68da96aa3964a0812 |
| institution | Directory Open Access Journal |
| issn | 1367-2630 |
| language | English |
| last_indexed | 2024-03-12T16:44:37Z |
| publishDate | 2015-01-01 |
| publisher | IOP Publishing |
| record_format | Article |
| series | New Journal of Physics |
| spelling | doaj.art-89dad81afd6f48c68da96aa3964a08122023-08-08T14:16:41ZengIOP PublishingNew Journal of Physics1367-26302015-01-0117101501210.1088/1367-2630/17/1/015012Comparative analysis of existing models for power-grid synchronizationTakashi Nishikawa0Adilson E Motter1Department of Physics & Astronomy and Northwestern Institute on Complex Systems, Northwestern University , Evanston, IL 60208, USADepartment of Physics & Astronomy and Northwestern Institute on Complex Systems, Northwestern University , Evanston, IL 60208, USAThe dynamics of power-grid networks is becoming an increasingly active area of research within the physics and network science communities. The results from such studies are typically insightful and illustrative, but are often based on simplifying assumptions that can be either difficult to assess or not fully justified for realistic applications. Here we perform a comprehensive comparative analysis of three leading models recently used to study synchronization dynamics in power-grid networks—a fundamental problem of practical significance given that frequency synchronization of all power generators in the same interconnection is a necessary condition for a power grid to operate. We show that each of these models can be derived from first principles within a common framework based on the classical model of a generator, thereby clarifying all assumptions involved. This framework allows us to view power grids as complex networks of coupled second-order phase oscillators with both forcing and damping terms. Using simple illustrative examples, test systems, and real power-grid datasets, we study the inherent frequencies of the oscillators as well as their coupling structure, comparing across the different models. We demonstrate, in particular, that if the network structure is not homogeneous, generators with identical parameters need to be modeled as non-identical oscillators in general. We also discuss an approach to estimate the required (dynamical) system parameters that are unavailable in typical power-grid datasets, their use for computing the constants of each of the three models, and an open-source MATLAB toolbox that we provide for these computations.https://doi.org/10.1088/1367-2630/17/1/015012synchronizationcomplex networkspower-grid dynamicscoupled oscillators |
| spellingShingle | Takashi Nishikawa Adilson E Motter Comparative analysis of existing models for power-grid synchronization New Journal of Physics synchronization complex networks power-grid dynamics coupled oscillators |
| title | Comparative analysis of existing models for power-grid synchronization |
| title_full | Comparative analysis of existing models for power-grid synchronization |
| title_fullStr | Comparative analysis of existing models for power-grid synchronization |
| title_full_unstemmed | Comparative analysis of existing models for power-grid synchronization |
| title_short | Comparative analysis of existing models for power-grid synchronization |
| title_sort | comparative analysis of existing models for power grid synchronization |
| topic | synchronization complex networks power-grid dynamics coupled oscillators |
| url | https://doi.org/10.1088/1367-2630/17/1/015012 |
| work_keys_str_mv | AT takashinishikawa comparativeanalysisofexistingmodelsforpowergridsynchronization AT adilsonemotter comparativeanalysisofexistingmodelsforpowergridsynchronization |