New approach with muller method for profit based unit commitment Chandram, K.; Subrahmanyam, N.; Sydulu, M.
2008 IEEE Power and Energy Society General Meeting - Conversion and Delivery of Electrical Energy in the 21st Century,
2008-July
Conference Proceeding
This paper presents a new approach with Muller method for solving profit based unit commitment (PBUC). In deregulated environment, the generation companies (GENCOs) schedule their generators to ...maximize their profit rather than satisfying the power demand. While solving the PBUC problem, the information of forecasted price at the given predicted power demand is known. The PBUC problem is solved by the proposed approach in two stages. Initially, committed units table obtains information of the committed units and finally the non linear programming sub problem of economic dispatch is solved by Muller method. The proposed approach has been tested on a power system with 3 and 10 generating units. Simulation results of the proposed approach have been compared with existing methods and also with the traditional unit commitment. It is observed from the simulation results that the proposed algorithm provides maximum profit with less computational time compare to existing methods.
A theoretical study of the electromagnetic propagation in a complex medium suspended multilayer coplanar waveguide (CPW) is presented. The study is based on the generalized exponential matrix ...technique (GEMT) combined with Galerkin’s spectral method of moments applied to a CPW printed on a bianisotropic medium. The analytical formulation is based on a Full-GEMT, a method that avoids usual procedures of heavy and tedious mathematical expressions in the development of calculations and uses matrix-based mathematical expressions instead. These particularities are exploited to develop a mathematical model for the characterization of wave propagation in a three-layer shielded suspended CPW structure. This study is based on the development of mathematical formulations in full compact matrix-based expressions resulting in Green’s functions in a matrix form. The implemented method incorporates a new accelerating procedure developed in the GEMT which provides an initial value used to speed up searching for the exact solution in the principal computation code. This helped us to obtain accurate solutions with tolerable computing time. Good agreements have been achieved with the literature in terms of accuracy and rapid convergence. The results for different cases of bianisotropy have been investigated, and particularly, the effect on the dispersion characteristics is presented and compared with the isotropic case.
In the simple and widely used method of Box-Muller G. Box and M. Muller, A note on the generation of random normal deviates, Ann. Math. Statist. 29 (1958), pp. 610-611, from a pair of uniform and ...independent random variables in (0,1), a pair of standard and independent normal variables is obtained. In this article, we present a very simple and elegant generalization of this method to obtain a pair of correlated standard normal variables with a given coefficient of correlation. This generalized method, which is computationally very easy, is interpreted in geometric terms, considering a translation of the uniform interval (0,1) and a rotation of a defined angle, both related to the coefficient of correlation. Some numerical results are simulated and statistically analysed, proving that the generalization is extremely simple and powerful.
Human speech waveform has been synthesized in many ways. Today, text-to-speech synthesis has become the mainstreams in speech synthesis. However, this technology requires a large amount of data to ...make high-quality speech synthesis. For this reason, it is impossible to create a synthesized voice of many people. In this study, we aim to create a synthesized speech by focusing on the fluctuations of the vocal cords. By using Box-Muller method, we try to reproduce the fluctuations of the vocal cords. In the Box-Muller method, the average and variance values of the Gaussian function is used. In this paper, we extract the fundamental frequency and frequency variance value from the human voice. We expect that this result can help to reproduce the naturalness of the human voice.
A new partitioning feedforward neural network (FNN) root-finder model for recursively finding the arbitrary (including complex) roots of higher order arbitrary polynomials is proposed in this paper. ...Moreover, an efficient complex version of constrained learning algorithm (CLA), which incorporates the
a priori information, i.e., the constrained relation between the original polynomial coefficients and the remaining polynomial coefficients plus the partitioned roots out from the original polynomial, is constructed to train the corresponding partitioning neural root-finder network for finding the arbitrary roots of arbitrary polynomials. Finally, the experimental results are given to show the efficiency and effectiveness of our proposed neural model with respect to traditional non-neural root-finders.
This work presents a reconfigurable Gaussian noise generator using field-programmable gate array (FPGA). The Box-muller method is used, which is a very efficient algorithm and its statistic ...properties, such as mean and variant, are effectively achieved. Additionally, the square root computation based on the CODIC method is proposed. All algorithms are implemented in FPGA Virtex 6, ML605 board, from Xilinx. The main resource usages are 8% of the Number of occupied Slices, 5% of the Number of Slice LUTs, and only 1% of the Number of Slice Registers. The Gaussian noise generator result is represented by ChipSope Pro Analyzer, which runs in real-time with the clock speed of 100 Mhz. As can be observed, more than one million samples per second can be generated. The result is confirmed that the system works well and it is abatable for many applications; especially, in the area of fast-bit error rate (BER) tester in error correction technology, such as low-density parity-check (LDPC) and Polar code.
We develop a new simple iteration formula, which does not require any derivatives of f(x), for solving a nonlinear equation f(x)=0. It is proved that the convergence order of the new method is ...quadratic. Furthermore, the new method can approximate complex roots. By several numerical examples we show that the presented method will give desirable approximation to the root without a particularly good initial approximation and be efficient for all cases, regardless of the behavior of f(x).
High strength thin-walled rectangular concrete-filled steel tubular (CFST) slender beam-columns under eccentric loading may undergo local and overall buckling. The modeling of the interaction between ...local and overall buckling is highly complicated. There is relatively little numerical study on the interaction buckling of high strength thin-walled rectangular CFST slender beam-columns. This paper presents a new numerical model for simulating the nonlinear inelastic behavior of uniaxially loaded high strength thin-walled rectangular CFST slender beam-columns with local buckling effects. The cross-section strengths of CFST beam-columns are modeled using the fiber element method. The progressive local and post-local buckling of thin steel tube walls under stress gradients is simulated by gradually redistributing normal stresses within the steel tube walls. New efficient Müller's method algorithms are developed to iterate the neutral axis depth in the cross-sectional analysis and to adjust the curvature at the columns ends in the axial load–moment interaction strength analysis of a slender beam-column to satisfy equilibrium conditions. Analysis procedures for determining the load–deflection and axial load–moment interaction curves for high strength thin-walled rectangular CFST slender beam-columns incorporating progressive local bucking and initial geometric imperfections are presented. The new numerical model developed is shown to be efficient for predicting axial load–deflection and axial load–moment interaction curves for high strength thin-walled rectangular CFST slender beam-columns. The verification of the numerical model and parametric studies is given in a companion paper.
► A new numerical model for rectangular CFST slender beam-columns is presented. ► The model considers local buckling of the steel tube walls under stress gradients. ► Efficient Müller’s method algorithms are developed to obtain nonlinear solutions. ► Analysis procedures for modeling deflections and strength envelopes are described.
In the present paper the natural frequencies of fluid-conveying pipes with guided-clamped, guided-simply supported, guided-free and guided–guided boundary conditions are derived explicitly. Numerical ...results are presented for four cases, and the effect of fluid flow velocity on the natural frequencies is discussed. Critical velocities are determined to find the point of flutter. The pipe is modelled as an Euler–Bernoulli beam. The differential equation of motion for free vibration is established using Hamilton’s principle. The transcendental frequency equation is derived using Muller’s bisection method. By varying the non-dimensional velocities the frequencies are determined for the said boundary conditions. It is observed that there is a reduction in natural frequency with an increase in velocity, for all the boundary conditions. The influence of fluid velocity on the instability of the pipe is determined. The results obtained analytically were validated by experiment for guided–guided end condition only.
A semilocal convergence theorem of Müller’s method is established under the
γ-condition. An error estimation is given which matches the convergence order of the method. Numerical examples are ...provided to show that our results apply, where earlier ones fail.
PDF
