tailieunhanh - Deterministic Methods in Systems Hydrology - Chapter 4

Phân tích hộp đen của Dòng chảy bão trực tiếp 4,1 CÁC VẤN ĐỀ CỦA HỆ THỐNG NHẬN DẠNG phương pháp tiếp cận hộp đen để phân tích hệ thống đã được xử lý trong phác thảo trong Chương 1. Nó dựa trên các khái niệm về hệ thống hoạt động được hiển thị trong hình . Các vấn đề cơ bản của hộp đen xác định là việc xác định và mô tả toán học của hệ thống hoạt động trên cơ sở các hồ sơ đầu vào và đầu ra có liên quan. Trong chương đó, nó đã được. | CHAPTER 4 Black-Box Analysis of Direct Storm Runoff THE PROBLEM OF SYSTEM IDENTIFICATION Pulse response The black-box approach to the analysis of systems has already been dealt with in outline in Chapter 1. It is based on the concept of system operation shown in Figure . The basic problem of black-box identification is the determination and mathematical description of the system operation on the basis of records of related inputs and outputs. In that chapter it was pointed out that for the case of a lumped linear timeinvariant system with continuous inputs and outputs this mathematical description is given by the impulse response of the system. This contains all the information required for the prediction of the operation of such a system on other inputs. In the case of a linear lumped time-invariant system in which the input and output data are given in discrete form the operation of the system can be mathematically described in terms of the pulse response. Of necessity the pulse response contains less information than the impulse response. But it is adequate for predicting for any given input the corresponding output at discrete values of the sampling interval. Accordingly as pointed out in Section the problem of the identification of a lumped time-invariant system by black-box analysis amounts to a solution of the set of linear algebraic equations y X h where h is the vector of unknown ordinates of the pulse response y is the vector of the known ordinates of the output and X is the matrix formed as follows from the vector of the known input ordinates. A o Aj 0 Ab 0 0 0 0 X H Am 1 Ạ 0 Am . Ab 0 0 0 x T Afo 0 Al A l xm Am 1 _ 0 0 0 X . The basis for equation is given in Chapter 1 where they appear as equations and respectively. The unit hydrograph approach that is described in Chapter 2 of this book has been seen to be based on the assumption that the catchment converts effective rainfall to direct storm runoff in a lumped linear .