On Regulation of Storage Content of Multi-Reservoir System connected in Parallel or Series

Study on the operation of a multi-reservoir system (II)

Abstract

A simulation model of the fluctuation of the storage content in each reservoir belongingto the multi-reservoir system which consists of many reservoirs connected in parallel or series is presented in an attempt to regulate the imbalance occurring in reserovoirs.
The model is derived from a matrix differential equation, which contains the idea of the regulating discharge to regulate the imbalance. It is derived by transforming the coefficient matrix in matrix differential equation to the Jordan normal form.
The model is adopted to the multi-reservoirs system consisting seven reservoirs. Changing the coefficient of regulation discharge for each reservoir respectively, some sample calculations are carried out and as a result the states of the fluctuation of storage content of each reservoir are shown. Consideration is given to the state of fluctuation by changing the coefficient.