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Using Bifurcation Analysis For Control Design Of Virtual Negative Inductance
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| Author(s) |
Octavian Dranga, Hirohito Funato, Satoshi Ogasawara(jp), Janos Hamar(jp), Istvan Nagy(hu) |
| Abstract |
A variable active-passive reactance (VAPAR) has
already been proposed for applying as virtual variable
inductance in power circuits. One of its most remarkable
features is the capability of generating a negative virtual
inductance. VAPAR has found applications in the rapid power
flow control of power systems, the power flow being essentially
restricted by a line reactance. Therefore, the system under
investigation is represented by a series RL configuration
including VAPAR. One basic aim of the design of the feedback
loop controlling VAPAR is to avoid instability or bifurcations
that can be detected when the loop gain is varied. The stability
analysis performed uses the stroboscopic map to model the
operation of the variable-structure, piecewise-linear, non-linear
system. The nonlinearity stems from the dependence of the
switching instant of VAPAR on state variables. The eigenvalues
of the Jacobian matrix of this map, evaluated at its fixed point,
are employed for the stability assessment. The results allow
convenient and accurate identification of the control domain
ensuring stable operation and good transient performances in
the parameter space of the virtual negative inductance and the
loop gain. |
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| Filename: | A14369 |
| Filesize: | 413 KB |
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| Type |
Members Only |
| Date |
Last modified 2006-02-15 by System |
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