Water softening apparatus, dishwasher having the same and control method thereof

A home appliance, comprising:

• an air brake assembly including:
• a water supply valve configured to allow wash water to be introduced therethrough,
• an ion exchange tank configured to accommodate an ion exchange resin therein to soften wash water being supplied and provided at an inside of the air brake assembly,
• a plurality of valves installed on a first path and configured to allow wash water being introduced through the water supply valve to flow toward the ion exchange tank, and
• a supply water storage tank provided at the inside of the air brake assembly so as to be located at an upper side of the ion exchange tank and configured to store wash water being introduced through the water supply valve;
• and
• a regeneration tank configured to accommodate regeneration material configured to purify the ion exchange resin and connected to one of the plurality of valves to regenerate the ion exchange resin,
• wherein the plurality of valves installed on the first path comprises a first valve, a second valve, and a third valve,
• wherein:
• the first valve is configured to, in a first state, control a flow of the wash water being introduced through the water supply valve toward the supply water storage tank when the second valve and the third valve are in a second state, and control a discharge of wash water stored in the supply water storage tank toward the ion exchange tank when the second valve is in the second state and the third valve is in the first state;
• the second valve is configured to, in the first state, control a flow of the wash water being introduced through the water supply valve toward the regeneration tank when the first valve and the third valve are in the second state, and control a discharge of wash water stored in the regeneration tank toward the ion exchange tank when the first valve is in the second state and the third valve is in the first state;
• and
• the third valve is configured to, in the first state, control a flow of the wash water being introduced through the water supply valve toward the ion exchange tank when the first valve and the second valve are in the second state.