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        <identifier>oai:www.ideals.illinois.edu:2142/24125</identifier>
        <datestamp>2023-07-10</datestamp>
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        <thesis xmlns="http://www.ndltd.org/standards/metadata/etdms/1.1/" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns:dc="http://purl.org/dc/elements/1.1/" xsi:schemaLocation="http://www.ndltd.org/standards/metadata/etdms/1.1/ http://www.ndltd.org/standards/metadata/etdms/1.1/etdms11.xsd http://purl.org/dc/elements/1.1/ http://www.ndltd.org/standards/metadata/etdms/1.1/etdmsdc.xsd">
          <dc:contributor>Langbort, Cedric</dc:contributor>
          <dc:creator>Cheng, Albert Z.</dc:creator>
          <dc:date>2011-05-25T15:06:09Z</dc:date>
          <dc:date>2011-05-25T15:06:09Z</dc:date>
          <dc:date>2011-05-25T15:06:09Z</dc:date>
          <dc:date>2011-05</dc:date>
          <dc:description>This is a preliminary study of decentralized algorithms that can be applied to wind
farm controls. Traditionally, wind farm control is comprised of the wind farm level
control and the wind turbine level control. The wind farm level control is a centralized
controller that takes the demands from the grid and generates operating points for each
wind turbine within the wind farm. The wind turbine level control then generates
the optimal control for each turbine to match the operating point. Unfortunately, this
traditional control scheme does not constitute the optimal operation of a wind farm due
to it’s disregard at either level of control for the interactions between wind turbines in
the wind farm .
Consequently, a different two level control scheme is proposed in this thesis. This
control scheme is shown to be a decentralized controller in that each wind turbine has
the ability to both generate its own operating point and calculate its own optimal control.
Through the communication of the wind turbines with each other, the interactions
between the wind turbines are incorporated into both levels of control. The generation
of the operating point is posed as a stochastic resource allocation problem that takes
into account the stochastic wind and other wind farm characteristics. We develop a
stochastic algorithm based on network dynamic system theory to solve the resource allocation
problem. We show that the algorithm converges to the solution of the resource
allocation problem almost surely. The calculation of each wind turbine’s optimal control
is formulated as an Linear Quadratic Regulator (LQR) optimization problem with
a equality constraint. We develop an algorithm that is based on the Tatonnement process
in Economics to solve the LQR problem. We first consider the performance of the
algorithm in a dynamically decoupled system and show that the algorithm solves the
LQR problem. We then consider the performance of the algorithm in a dynamically
coupled system and discuss the difference between the two cases.</dc:description>
          <dc:description>Item withdrawn by Mark Zulauf (zulauf@illinois.edu) on 2011-04-29T13:51:37Z
Item was in collections:
University of Illinois Theses &amp; Dissertations (ID: 1)
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          <dc:identifier>http://hdl.handle.net/2142/24125</dc:identifier>
          <dc:language>en</dc:language>
          <dc:rights>Copyright 2011 Albert Z Cheng</dc:rights>
          <dc:subject>Decentralized control</dc:subject>
          <dc:subject>Network control</dc:subject>
          <dc:subject>Wind farm control</dc:subject>
          <dc:title>Some decentralized optimization and control algorithms for the control of wind farms</dc:title>
          <degree>
            <department>Mechanical Sci &amp; Engineering</department>
            <departmentCode>1917</departmentCode>
            <discipline>Mechanical Engineering</discipline>
            <disciplineCode>0133</disciplineCode>
            <grantor>University of Illinois at Urbana-Champaign</grantor>
            <level>Thesis</level>
            <name>M.S.</name>
            <program>MS:Mechanical Engineerng -UIUC</program>
            <programCode>10KS0133MS</programCode>
          </degree>
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