Double Tank Level Control

Рет қаралды 2,015

Жыл бұрын

A double tank is an example of a switching system where the input to the upper tank can be one of two flows. The upper tank drains to the lower tank and the lower tank drains to a reservoir. The flow to the upper tank is the manipulated variable to meet a lower tank target level. A higher upper tank level leads to a higher flowrate into the lower tank. The dynamics of the two levels are described by two differential equations.
The set point is 3. The two states x are the fluid levels in the upper and a lower tank. The flow into the upper tank is either 1 or 2, the upper tank flows into the lower tank, and the lower tank flow exits the system. The objective of the optimal control problem is for the lower tank to reach the setpoint during the optimization window of 10 minutes.
Source Code: apmonitor.com/do/index.php/Ma...

Пікірлер: 8

@HuyNguyen-bw4sv Жыл бұрын

Thank you!

Жыл бұрын

Nice!

@hakankosebas2085 11 ай бұрын

do you have portfolio optimization videos

@apm 11 ай бұрын

Sorry, no videos on that topic. Maybe ask ChatGPT for an example to get you started: import numpy as np from gekko import GEKKO # Simulated asset data: mean returns and covariance matrix mean_returns = np.array([0.1, 0.15, 0.2]) cov_matrix = np.array([[0.03, 0.005, 0.01], [0.005, 0.04, 0.015], [0.01, 0.015, 0.05]]) num_assets = len(mean_returns) # Create a Gekko model m = GEKKO(remote=False) # Variable for asset allocation weights x = m.Array(m.Var, num_assets, lb=0, ub=1, value=1/num_assets) # Constraint: sum of weights equals 1 m.Equation(np.sum(x) == 1) # Expected portfolio return expected_return = np.sum(mean_returns * x) m.Obj(-expected_return) # Maximize expected return # Risk constraint: portfolio standard deviation

@popodori Жыл бұрын

a more practical solution would be to use a globe valve

@apm Жыл бұрын

Globe valves are a great example of a type of actuator that is designed for incremental changes between on and off. It also helps the solution improve because non integer variables are easier to optimize.