876 research outputs found
Loss allocation in a distribution system with distributed generation units
In Denmark, a large part of the electricity is produced by wind turbines and combined heat and power plants (CHPs). Most of them are connected to the network through distribution systems. This paper presents a new algorithm for allocation of the losses in a distribution system with distributed generation. The algorithm is based on a reduced impedance matrix of the network and current injections from loads and production units. With the algorithm, the effect of the covariance between production and consumption can be evaluated. To verify the theoretical results, a model of the distribution system in Brønderslev in Northern Jutland, including measurement data, has been studied
Two-to-one resonant multi-modal dynamics of horizontal/inclined cables. Part I : theoretical formulation and model validation
This paper is first of the two papers dealingwith analytical investigation of resonant multimodal dynamics due to 2:1 internal resonances in the finite-amplitude free vibrations of horizontal/inclined cables. Part I deals with theoretical formulation and validation of the general cable model. Approximate nonlinear partial differential equations of 3-D coupled motion of small sagged cables - which account for both spatio-temporal variation of nonlinear dynamic tension and system asymmetry due to inclined sagged configurations - are presented. A multidimensional Galerkin expansion of the solution ofnonplanar/planar motion is performed, yielding a complete set of system quadratic/cubic coefficients. With the aim of parametrically studying the behavior of horizontal/inclined cables in Part II [25], a second-order asymptotic analysis under planar 2:1 resonance is accomplished by the method of multiple scales. On accounting for higher-order effectsof quadratic/cubic nonlinearities, approximate closed form solutions of nonlinear amplitudes, frequencies and dynamic configurations of resonant nonlinear normal modes reveal the dependence of cable response on resonant/nonresonant modal contributions. Depending on simplifying kinematic modeling and assigned system parameters, approximate horizontal/inclined cable models are thoroughly validated by numerically evaluating statics and non-planar/planar linear/non-linear dynamics against those of the exact model. Moreover, the modal coupling role and contribution of system longitudinal dynamics are discussed for horizontal cables, showing some meaningful effects due to kinematic condensation
Anomaly-Free Gauged R-Symmetry in Local Supersymmetry
We discuss local \R-symmetry as a potentially powerful new model building
tool. We first review and clarify that a \R-symmetry can only be gauged
in local and not in global supersymmetry. We determine the anomaly-cancellation
conditions for the gauged \R-symmetry. For the standard superpotential these
equations have {\it no} solution, independently of how many Standard Model
singlets are added to the model. There is also no solution when we increase the
number of families and the number of pairs of Higgs doublets. When the
Green-Schwarz mechanism is employed to cancel the anomalies, solutions only
exist for a large number of singlets. We find many anomaly-free
family-independent models with an extra octet chiral superfield. We
consider in detail the conditions for an anomaly-free {\it family dependent} and find solutions with one, two, three and four extra singlets. Only
with three and four extra singlets do we naturally obtain sfermion masses of
order the weak-scale. For these solutions we consider the spontaneous breaking
of supersymmetry and the -symmetry in the context of local supersymmetry. In
general the gauge group is broken at or close to the Planck scale. We
consider the effects of the \R-symmetry on baryon- and lepton-number violation
in supersymmetry. There is no logical connection between a conserved
\R-symmetry and conserved \R-parity. For conserved \R-symmetry we have models
for all possibilities of conserved or broken \R-parity. Most models predict
dominant effects which could be observed at HERA.Comment: 29 pages, latex, including 3 tables. Final version accepted for
publication in NPB. Slight revision of supersymmetry breaking and dropped
sub-section on mu problem, which will appear expaned elsewher
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