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Small-Signal Modelling and Analysis of DC Distributed Power Systems. Per Karlsson. http://www. iea.lth.se/. Presentation Outline. Introduction DC power distribution DC bus voltage control Small-signal modelling Small-signal models compared to previous work. Energy Supply in the Future.
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Small-Signal Modelling and Analysis of DC Distributed Power Systems Per Karlsson http://www.iea.lth.se/ Small Signal Modelling and Analysis of DC Distributed Power Systems
Presentation Outline • Introduction • DC power distribution • DC bus voltage control • Small-signal modelling • Small-signal models compared to previous work Small Signal Modelling and Analysis of DC Distributed Power Systems
Energy Supply in the Future http://www.toshiba.com Small Signal Modelling and Analysis of DC Distributed Power Systems
Renewable Energy Sources &Distributed Generation • Several renewable energy sources need assistance from power electronics • Most consumer and office electronic equipment operate on rectified AC • DC might as well be used for local distribution systems Small Signal Modelling and Analysis of DC Distributed Power Systems
DC Distributed Power SystemRing Bus http://www.cogreenpower.org/ http://networkpower.exide.com/ http://www.tecowestinghouse.com/ http://www.bigfrogmountain.com/ http://www.elektro-helios.se/ Small Signal Modelling and Analysis of DC Distributed Power Systems
Droop DC Bus Voltage Control Small Signal Modelling and Analysis of DC Distributed Power Systems
ConverterBode-Diagrams Bode diagram of the closed loop system from id,ref to iq. Bode diagram of the closed loop system from iq,ref to iq. Solid: dead-beat gain (ki = 1), Dashed: half dead-beat gain (ki = 0.5) Dash-dotted: 25% of dead-beat gain (ki = 0.25). Small Signal Modelling and Analysis of DC Distributed Power Systems
Constant Power Load- Negative Small-Signal Resistance Small Signal Modelling and Analysis of DC Distributed Power Systems
Two-Converter SystemBode-Diagrams Note that the transformers needed for galvanic separation are not included in the small-signal model! Bode diagram for the complete system from iqr,ref to vs for Rdc = 1.0 and Ldc = 0.3 - 32 mH Small Signal Modelling and Analysis of DC Distributed Power Systems
Droop DC Bus Voltage ControlDynamic Properties of the Two-Converter System Measured (left) and simulated (right) sending end (blue) and receiving end (red) voltage (top) and power (bottom), in the case of Rdc=1.0 ,Ldc=32 mH and Zsc=0.25+j0.25. Small Signal Modelling and Analysis of DC Distributed Power Systems
Small-Signal Modellingvs Switch Mode Modelling and Measurements • The dominant poles are the same as the ones found in earlier investigations. • The converter dynamics do not have to be included in the analysis. • The assumption that Gconv = 1 is applicable due to the low bandwidth. • A constant power load results in a unstable pole of the DC power system. • The unstable node is cancelled for the closed loop system. Sending end voltage in the case of Rdc=1.0 andLdc=32 mH. Green: Experiment, Blue: Switch-mode simulation Red: Small-signal simulation Small Signal Modelling and Analysis of DC Distributed Power Systems