**3. Problem Theory**

Limit pricing is one of the most well-known procedures of pricing congestion transmission networks, which is derived from the cost limit. The limit pricing is equal to the ratio of the increase in production costs to the increase in one megawatt of system load. If the limit pricing is calculated for increasing the load in a particular bus, it is called the node or local price, and if it is calculated for increasing the load in a particular area, it is called the regional price [41]. Node values for all busbars and regional prices for all zones will be equal when there is no network congestion.

Under normal power system conditions (lack of congestion and loss), logical marginal pricing (LMP) is the same in all busbars and there is a financial balance in the network busbars, in which case, this uniform price (called market clearing price (MCP)), as the purchase price and electricity sales, is used throughout the network, but when network congestion occurs, the LMP will be different on all busbars, which must be fixed using the methods mentioned in the corrective clogging management to fix the LMP busbars (fix the congestion of transmission lines).

A good way to manage network congestion is to put the market on a pricing basis. In this type of pricing, the ISO receives voluntary offers from market participants, selects the best solution with the lowest price, and finally performs the best load distribution; ultimately, all transmission line limitations are met and the system is balanced at the lowest price. Local price limits are obtained. In this paper, DC optimal load distribution (network losses are not considered) is used to manage clogging combined with social welfare (SW) maximization. To solve the DC optimal power flow (DCOPF) problem, equations have been used in the generalized algebra modeling system (GAMS) program. The discontinuous nonlinear program (DNLP) solver is used to solve the nonlinear program. The constraints of optimization include real equations of real power in all network buses, power transmission limitations, bus voltage limits, and production limits. The optimization of this issue is the amount of production of each generator (G) and the local limit price in all network buses. In this paper, in order to eliminate line congestion, with optimal use of distributed generation (DG), LMP stabilization of network buses in a certain value has been established. By stabilizing the local price limit of network buses in a fixed amount, the creation of market power by expensive generators is prevented. Under these conditions, the market is approaching full competition, and in general, the disadvantages caused by network congestion will be eliminated.
