摘要:

The Lyapunov stability method is applied to two problems in the dynamic behaviour of round-rotor synchronous machines. In one case analytical results of a sufficient nature are obtained from an approximate mathematical model which explain the dependence of the self-oscillation of a machine on the stator impedance and the rotor excitation, and good agreement is found with experimental results. The other case is the ‘two-machine’ problem of two synchronous machines connected by a transmission line subject to a fault. Using the complete set of Park's equations an analytical expression is obtained for the transient stability surface. In general this is of a fairly weak sufficient nature but in a restricted region of the state-Space it gives a close agreement with the computed region of stability.

ISSN:0020-7179    

DOI:10.1080/00207176608921443

出版商:Taylor & Francis Group    

年代:1966

数据来源: Taylor

摘要:

A method for testing and realization of threshold functions through classification of inequalities is suggested in the present paper. The standard procedure of testing and realization of threshold functions consists in solving a system of linear inequalities in which the unknowns are the different weights to be assigned to the variables of the functions. In the paper it is first shown that when the different inequalities involving the weights of the variables are represented in terms of their subscripts only, thon, depending on the number and on the sum of the subscripts appearing on either side, the entire set of inequalities of any function can be classified into nine distinct types. The sot of inequalities is next expressed in terms of the least weight and the other different incremental weights, the knowledge of which along with that of the types of inequalities, furnishes information regarding I-realizability of the function and on the assignments of values to the different weights for integral and for minimal integral realizations.

ISSN:0020-7179    

DOI:10.1080/00207176608921444

出版商:Taylor & Francis Group    

年代:1966

数据来源: Taylor

摘要:

The problem considered is that of determining optimal control of a linear system affected by noise and with incomplete information about the actual state when the criterion is quadratic and the control signal is restricted to be a linear transformation of observations. An algorithm for optimization giving monotone convergence is presented and the existence of a solution is proved. A necessary condition is derived with the aid of the algorithm and the question of uniqueness is discussed.

ISSN:0020-7179    

DOI:10.1080/00207176608921445

出版商:Taylor & Francis Group    

年代:1966

数据来源: Taylor

摘要:

The problem of selecting a suitable high frequency sinusoidal test signal for identification of the parameters in a two-parameter adaptive system is considered. With a sinusoidal test signal it is not possible in general to have a one-to-one independent linear relationship between closed-loop gain and phase shift in terms of the individual parameters. This is due to the large variations in parameters in an adaptive system and due to the practical upper limit on the frequency of the test signal. Retaining the dependence of each of the parameters to both gain and phase shift, a logical method is developed via sensitivity considerations aiming at a. reduction in mathematical computations and obtaining a significant change in phase shift over the entire range of parameters. To illustrate the method two third-order plants each with two varying parameters are considered. Results of analogue computer simulation are given for one of the examples.

ISSN:0020-7179    

DOI:10.1080/00207176608921446

出版商:Taylor & Francis Group    

年代:1966

数据来源: Taylor

摘要:

Questions of optimum start-up and control of certain types of chemical plant find mathematical expression as variational problems in two independent variables with hyperbolic partial differential equations as side-conditions. It was shown in Part I of this work that such problems have interesting features when the integral to be extremized is taken round a closed curve in the plane of the independent variables, and this curve includes finite straight segments parallel to the characteristics of the differential equations.

ISSN:0020-7179    

DOI:10.1080/00207176608921447

出版商:Taylor & Francis Group    

年代:1966

数据来源: Taylor

ISSN:0020-7179    

DOI:10.1080/00207176608921448

出版商:Taylor & Francis Group    

年代:1966

数据来源: Taylor