Distributed Real-Time Pricing Method Incorporating Load Uncertainty Based on Nonsmooth Equations for Smart Grid

Algorithm 1

Update load of consumption by each user.

Step 1 Initialization

Step 2 for each

Receive from energy provider;

Update the consumption value by solving (42);

Send to energy provider.

Step 3 Repeat Step 2 until the pricing time ends or the electricity supply and demand are in balance.