32 results about "Robust optimization problem" patented technology

The invention provides a dispatching method for restoring system security of an electric power system after multiple failures, and relates to the technical field of electric power systems. First a safe economic dispatching model is established and is converted to a two-stage decision model, a multi-stage robust optimization model is decomposed into a main problem and a sub problem, the main problem and sub problem are solved repeatedly, an upper bound and a lower bound of the main problem are updated, the worst scene is identified again, till a difference value of the lower bound and the upper bond of the main problem does not exceed a convergence level or reaches a maximum alternation number of items, and an optimal solution to the main problem is output. The dispatching method adopts an N-K safety criterion that satisfies power grid operation conditions, thereby enabling a calculated result to have practical guiding significance, and the thought of adopting robust optimization avoids the problem that under the N-K safety criterion, an equipment failure accident set is large in amount, and the dispatching problem cannot be solved; and a column constraint generating algorithm is adopted to decompose the multi-stage robust optimization problem into the main problem and the sub problem, thereby improving solving efficiency.

The invention discloses an AC / DC microgrid robust scheduling method considering power tracking of an uncontrollable generator, comprising the following steps: step 10) obtaining uncertainty prediction parameters and establishing an uncertainty set; step 20) based on step 10 ) to establish the source-load uncertainty set, linearize the output constraint of the uncontrollable generator set; step 30) obtain the operating cost coefficient and operating limit of each device in the microgrid, and establish the AC / DC microgrid based on step 10) and step 20). Robust optimization model of the grid; step 40) Solve the robust optimization problem: use the nested column constraint generation algorithm to iteratively solve the robust problem, and obtain the robust operation plan of the AC and DC microgrid. This method takes into account the non-adjustable power characteristics of renewable energy generating units in the microgrid, and realizes the robust optimal scheduling of AC and DC microgrids through the coordinated scheduling of unit start-stop and output, and meets the power tracking requirements of uncontrollable generating units. The operation plan of the AC / DC microgrid provides important reference guidance.

The invention relates to a spacecraft robust rendezvous trajectory design method considering uncertain factors. With utilization of the characteristic of constructing an uncertain factor propagation equation rapidly and precisely according to a covariance analysis method, influences on a nominal track by uncertain factors are analyzed. A robust optimization problem is constructed by using the analysis results as the constraints of the optimization problem. Calculation is carried out based on a genetic algorithm to realize the robust rendezvous trajectory design. Therefore, the traditional optimal system rendezvous determination problem is transformed into a robust rendezvous problem considering uncertain factors; and calculation is carried out based on the genetic algorithm, so that an objective of the robust rendezvous trajectory design is achieved.

The invention provides a dispatching method for restoring system security of an electric power system after multiple failures, and relates to the technical field of electric power systems. First a safe economic dispatching model is established and is converted to a two-stage decision model, a multi-stage robust optimization model is decomposed into a main problem and a sub problem, the main problem and sub problem are solved repeatedly, an upper bound and a lower bound of the main problem are updated, the worst scene is identified again, till a difference value of the lower bound and the upper bond of the main problem does not exceed a convergence level or reaches a maximum alternation number of items, and an optimal solution to the main problem is output. The dispatching method adopts an N-K safety criterion that satisfies power grid operation conditions, thereby enabling a calculated result to have practical guiding significance, and the thought of adopting robust optimization avoids the problem that under the N-K safety criterion, an equipment failure accident set is large in amount, and the dispatching problem cannot be solved; and a column constraint generating algorithm is adopted to decompose the multi-stage robust optimization problem into the main problem and the sub problem, thereby improving solving efficiency.

The invention discloses a method for robust energy-efficient transmission in a cognitive network. The channel state information of the relevant channel is measured by the receiving end of the secondary user and fed back to the sending end of the secondary user; the sending end of the secondary user performs multiple measurements Determine the uncertain set of each channel gain; the secondary user models the problem of maximizing the energy efficiency of the secondary user according to the robust optimization method; solves the worst channel gain and converts the primary user service quality requirement constraint into a convex constraint; according to the power allocation The algorithm solves the optimal transmission power, and transmits on each channel according to this power, and solves the robust optimal transmission power when the channel state information is uncertain, which can be used in cognitive network communication. In the present invention, under the condition of uncertain channel information, the maximum energy efficiency of the secondary user is guaranteed; the interference power to the receiving end of the primary user is strictly controlled, the service quality of the primary user is guaranteed, and the impact of information uncertainty is effectively eliminated. Deterioration of cognitive network performance.

The invention discloses a space non-cooperative target attitude joint takeover control method utilizing tether thrusters. The Space non-cooperative target attitude joint takeover control method comprises the steps of: generating an error instruction according to a control instruction and a state measured value by adopting a formula, updating part of parameters of a controller online in real time, and then generating a pseudo control quantity (control torque) by utilizing an attitude self-adaptive control law; converting an allocation problem of the control quantity into a robust optimization problem, converting the robust optimization problem into a conic quadratic optimization problem, solving the conic quadratic optimization problem by adopting an interior point method to obtain real control quantities (thrust and tension); and finally driving 12 thrusters and tether tension, and achieving attitude joint takeover control of a non-cooperative target.

The invention discloses an optimization design method for robustness measurement and equilibrium for different kinds of multi-target performances of a mechanical structure. The method comprises the following steps: considering uncertain factors within an interval, establishing a robust optimization design model containing different kinds of target performances such as a cost type, a fixed type, anincome type, and a deviation type for the mechanical structure; nesting an inner layer of a genetic algorithm into double layers and calculating left and right boundaries of all structures of performance indices; performing feasibility discrimination on design vectors in an outer layer of the genetic algorithm; classifying robust equilibrium of a feasible solution on the basis of a robust equilibrium coefficient of an interval constraint performance and a robust equilibrium coefficient of an interval different-kind target performance, sequencing design vectors on the basis of the overall distance of different-kind target performance robustness. Therefore, robust equilibrium optimization of different kinds of multi-target performances for the mechanical structure is achieved. With the method, unified modeling is achieved in order to resolve a robust optimization problem of different kinds of multi-target performances. High robustness level of the constraint performance is ensured. Theoptimization result is objective. All kinds of structures are robust and balanced in overall performances.