On (b), in addition to total capacity (kWh) you also need to have the battery system designed for quite high transient discharge rates (kW). A typical American

On (b), in addition to total capacity (kWh) you also need to have the battery system designed for quite high transient discharge rates (kW). A typical American suburban house pulls well under 2 kW on average, but can have transient usage spikes in the range of 15-25 kW or so, depending on the house. It's doable, just requires an even more oversized/expensive system. An alternative could be to avoid simultaneous usage of the major appliances (A/C, electric oven, vacuum, washer/dryer, tea kettle, etc.), of course. That would probably require a mixture of behavioral changes and changes to the A/C system. For example a house with multiple A/C units (window units or upstairs/downstairs) could have them wired so they don't kick on simultaneously.