Academic literature on the topic 'Hybrid Maximum Principle'

A modularized stand-alone hybrid generating system is designed and its composition and working principle is illustrated; working principle of components of wind driven generator, photovoltaic array, storage battery and controller etc. are expounded and corresponding mathematical model is established. In addition, tracking and control measures of the maximum power point based on maximum power given method and perturbation and observation method is proposed and design of software of the system is offered. Finally, simulation of the system is studied based on SIMULINK, resulting in that the system can realize tracing and control of the maximum power point.

We study one hybrid systems optimal control problem the Rosser type. An analog of the Pontryagins maximum principle is established. The case of degeneracy (a singular case) of the analog Pontryagins maximum condition is considered.

A baseline data for designing optimum Defense Hole System (DHS) for tension dominant hybrid load (Tensile/Shear > 25%) is obtained. Maximum stress reduction and optimum DHS parameters are achieved. The maximum stress reduction achieved range from 15% up to nearly 18% based on the principle stress ratio (25% < Tensile/Shear < 100%). This reduction is available by introducing auxiliary circular holes, i.e., DHS, along the principal stress direction. A two-DHS is shown to be the optimum for tensile dominant loaded plate. Two major goals are achieved by introducing such defense system: maximum stress reduction and material reduction. Redesign optimization method (iterative numerical optimization technique) is utilized to investigate this problem. Parametric optimization technique is also utilized in producing the routs for reaching those optimum cases. Finite element analysis is used to optimize the size and the location of the DHS. Selected optimum cases are verified experimentally using RGB photoelasticity.

Abstract In this publication a Doctrine for the Conditional Extremization of the Hybrid-Optional Effectiveness Functions Entropy is discussed as a tool for the Reliability Assessments of Engineering Systems. Traditionally, most of the problems having been dealt with in this area relate with the probabilistic problem settings. Regularly, the optimal solutions are obtained through the probability extremizations. It is shown a possibility of the optimal solutions “derivation”, with the help of a model implementing a variational principle which takes into account objectively existing parameters and components of the Markovian process. The presence of an extremum of the objective state probability is observed and determined on the basis of the proposed Doctrine with taking into account the measure of uncertainty of the hybrid-optional effectiveness functions in the view of their entropy. Such approach resembles the well known Jaynes’ Entropy Maximum Principle from theoretical statistical physics adopted in subjective analysis of active systems as the subjective entropy maximum principle postulating the subjective entropy conditional optimization. The developed herewith Doctrine implies objective characteristics of the process rather than subjective individual’s preferences or choices, as well as the states probabilities maximums are being found without solving a system of ordinary linear differential equations of the first order by Erlang corresponding to the graph of the process. Conducted numerical simulation for the proposed mathematical models is illustrated with the plotted diagrams.