Conditions for stability of droop-controlled inverter-based microgrids
We consider the problem of stability analysis for droop-controlled inverter-based microgrids with meshed topologies. The inverter models include variable frequencies as well as voltage amplitudes. Conditions on the tuning gains and setpoints for frequency and voltage stability, together with desired...
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Veröffentlicht in: | Automatica (Oxford) 2014-10, Vol.50 (10), p.2457-2469 |
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creator | Schiffer, Johannes Ortega, Romeo Astolfi, Alessandro Raisch, Jörg Sezi, Tevfik |
description | We consider the problem of stability analysis for droop-controlled inverter-based microgrids with meshed topologies. The inverter models include variable frequencies as well as voltage amplitudes. Conditions on the tuning gains and setpoints for frequency and voltage stability, together with desired active power sharing, are derived in the paper. First, we prove that for all practical choices of these parameters global boundedness of trajectories is ensured. Subsequently, assuming the microgrid is lossless, a port-Hamiltonian description is derived, from which sufficient conditions for stability are given. Finally, we propose for generic lossy microgrids a design criterion for the controller gains and setpoints such that a desired steady-state active power distribution is achieved. The analysis is validated via simulation on a microgrid based on the CIGRE (Conseil International des Grands Réseaux Electriques) benchmark medium voltage distribution network. |
doi_str_mv | 10.1016/j.automatica.2014.08.009 |
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The inverter models include variable frequencies as well as voltage amplitudes. Conditions on the tuning gains and setpoints for frequency and voltage stability, together with desired active power sharing, are derived in the paper. First, we prove that for all practical choices of these parameters global boundedness of trajectories is ensured. Subsequently, assuming the microgrid is lossless, a port-Hamiltonian description is derived, from which sufficient conditions for stability are given. Finally, we propose for generic lossy microgrids a design criterion for the controller gains and setpoints such that a desired steady-state active power distribution is achieved. 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The inverter models include variable frequencies as well as voltage amplitudes. Conditions on the tuning gains and setpoints for frequency and voltage stability, together with desired active power sharing, are derived in the paper. First, we prove that for all practical choices of these parameters global boundedness of trajectories is ensured. Subsequently, assuming the microgrid is lossless, a port-Hamiltonian description is derived, from which sufficient conditions for stability are given. Finally, we propose for generic lossy microgrids a design criterion for the controller gains and setpoints such that a desired steady-state active power distribution is achieved. The analysis is validated via simulation on a microgrid based on the CIGRE (Conseil International des Grands Réseaux Electriques) benchmark medium voltage distribution network.</description><subject>Applied sciences</subject><subject>Automatic</subject><subject>Automatic Control Engineering</subject><subject>Computer Science</subject><subject>Computer science; control theory; systems</subject><subject>Control system analysis</subject><subject>Control theory. Systems</subject><subject>Convertors</subject><subject>Droop control</subject><subject>Electrical engineering. Electrical power engineering</subject><subject>Electrical machines</subject><subject>Electrical power engineering</subject><subject>Engineering Sciences</subject><subject>Exact sciences and technology</subject><subject>Inverters</subject><subject>Microgrid control</subject><subject>Microgrid stability</subject><subject>Operation. Load control. Reliability</subject><subject>Port-Hamiltonian systems</subject><subject>Power electronics, power supplies</subject><subject>Power networks and lines</subject><subject>Power sharing</subject><subject>Smart grid applications</subject><issn>0005-1098</issn><issn>1873-2836</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2014</creationdate><recordtype>article</recordtype><recordid>eNqFkMtOwzAQRS0EEqXwD9mwYJEwdh52lqWiFKkSG1hbEz_AVRpXtqnUvydVUFmyGs3o3Jk7l5CMQkGBNo_bAr-T32FyCgsGtCpAFADtBZlRwcucibK5JDMAqHMKrbgmNzFux7aigs3IaukH7ZLzQ8ysD1lM2LnepWPmbaaD9_tc-SEF3_dGZ244mJBMyDuMY7tzKvjP4HS8JVcW-2jufuucfKye35frfPP28rpcbHLVlCLllapEhVq0tC0VE8ryThlroeas4nUNNaChpeiY6qyp6pZ3qEeGW90hNqIp5-Rh2vuFvdwHt8NwlB6dXC828jQDyhomOD_QkRUTO5qMMRh7FlCQp-zkVv5lJ0_ZSRByzG6U3k_SPUaFvQ04KBfPeiZE07RwsvM0cWb8-eBMkFE5MyijXTAqSe3d_8d-AFRZi08</recordid><startdate>20141001</startdate><enddate>20141001</enddate><creator>Schiffer, Johannes</creator><creator>Ortega, Romeo</creator><creator>Astolfi, Alessandro</creator><creator>Raisch, Jörg</creator><creator>Sezi, Tevfik</creator><general>Elsevier Ltd</general><general>Elsevier</general><scope>IQODW</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>1XC</scope><orcidid>https://orcid.org/0000-0002-7747-5405</orcidid></search><sort><creationdate>20141001</creationdate><title>Conditions for stability of droop-controlled inverter-based microgrids</title><author>Schiffer, Johannes ; Ortega, Romeo ; Astolfi, Alessandro ; Raisch, Jörg ; Sezi, Tevfik</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c638t-4c484ad89193c28cf7bceff05724755050ae138b2cbfe4597badf7b7fdbaa6863</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2014</creationdate><topic>Applied sciences</topic><topic>Automatic</topic><topic>Automatic Control Engineering</topic><topic>Computer Science</topic><topic>Computer science; control theory; systems</topic><topic>Control system analysis</topic><topic>Control theory. Systems</topic><topic>Convertors</topic><topic>Droop control</topic><topic>Electrical engineering. Electrical power engineering</topic><topic>Electrical machines</topic><topic>Electrical power engineering</topic><topic>Engineering Sciences</topic><topic>Exact sciences and technology</topic><topic>Inverters</topic><topic>Microgrid control</topic><topic>Microgrid stability</topic><topic>Operation. Load control. Reliability</topic><topic>Port-Hamiltonian systems</topic><topic>Power electronics, power supplies</topic><topic>Power networks and lines</topic><topic>Power sharing</topic><topic>Smart grid applications</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Schiffer, Johannes</creatorcontrib><creatorcontrib>Ortega, Romeo</creatorcontrib><creatorcontrib>Astolfi, Alessandro</creatorcontrib><creatorcontrib>Raisch, Jörg</creatorcontrib><creatorcontrib>Sezi, Tevfik</creatorcontrib><collection>Pascal-Francis</collection><collection>CrossRef</collection><collection>Hyper Article en Ligne (HAL)</collection><jtitle>Automatica (Oxford)</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Schiffer, Johannes</au><au>Ortega, Romeo</au><au>Astolfi, Alessandro</au><au>Raisch, Jörg</au><au>Sezi, Tevfik</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Conditions for stability of droop-controlled inverter-based microgrids</atitle><jtitle>Automatica (Oxford)</jtitle><date>2014-10-01</date><risdate>2014</risdate><volume>50</volume><issue>10</issue><spage>2457</spage><epage>2469</epage><pages>2457-2469</pages><issn>0005-1098</issn><eissn>1873-2836</eissn><coden>ATCAA9</coden><abstract>We consider the problem of stability analysis for droop-controlled inverter-based microgrids with meshed topologies. The inverter models include variable frequencies as well as voltage amplitudes. Conditions on the tuning gains and setpoints for frequency and voltage stability, together with desired active power sharing, are derived in the paper. First, we prove that for all practical choices of these parameters global boundedness of trajectories is ensured. Subsequently, assuming the microgrid is lossless, a port-Hamiltonian description is derived, from which sufficient conditions for stability are given. Finally, we propose for generic lossy microgrids a design criterion for the controller gains and setpoints such that a desired steady-state active power distribution is achieved. 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subjects | Applied sciences Automatic Automatic Control Engineering Computer Science Computer science control theory systems Control system analysis Control theory. Systems Convertors Droop control Electrical engineering. Electrical power engineering Electrical machines Electrical power engineering Engineering Sciences Exact sciences and technology Inverters Microgrid control Microgrid stability Operation. Load control. Reliability Port-Hamiltonian systems Power electronics, power supplies Power networks and lines Power sharing Smart grid applications |
title | Conditions for stability of droop-controlled inverter-based microgrids |
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