Systems and Methods for Controlling Operation of Valves of Water Heating Systems

A water heating system comprising:

• a water tank configured to store hot water;
• a valve configured to receive hot water from the water tank, wherein an amount of hot water received by the valve is based on an opening percentage of the valve, and wherein the valve is configured to receive cold water and mix the cold water and the hot water to output a blended water;
• and
• a controller configured to:
• determine an initial opening percentage of the valve;
• determine a hot water temperature and a blended water temperature when the valve is operating at the initial opening percentage;
• estimate a cold water temperature based on the hot water temperature, the blended water temperature, and the initial opening percentage;
• determine a desired blended water temperature responsive to estimating the cold water temperature;
• determine an optimal opening percentage of the valve based on the desired blended water temperature, the hot water temperature, and the cold water temperature;
• and
• cause the valve to operate at the optimal opening percentage.

A method comprising:

• determining, by a controller, an initial opening percentage of a valve, wherein the valve is configured to receive hot water from a water tank, wherein an amount of hot water received by the valve is based on an opening percentage of the valve, and wherein the valve is configured to receive cold water and mix the cold water and the hot water to output a blended water;
• determining, by the controller, a hot water temperature and a blended water temperature when the valve is operating at the initial opening percentage;
• estimating, by the controller, a cold water temperature based on the hot water temperature, the blended water temperature, and the initial opening percentage;
• and
• controlling, by the controller, an operation of the valve based on the cold water temperature.