Two units, rated at 100 MW and 150 MW, are enabled for economic load dispatch. When the overall incremental cost is 10,000 Rs./MWh, the units are dispatched to 50 MW and 80 MW respectively. At an overall incremental cost of , the power output of the units are 80 MW and 92 MW, respectively. The total plant MW-output (without overloading any unit) at an overall incremental cost of  is __________ (round off to the nearest integer).

The incremental cost curves of two generators (Gen A and Gen B) in a plant supplying a common load are shown in the figure. If the incremental cost of supplying the common load is Rs. 7400 per MWh, then the common load in MW is ________ (rounded off to the nearest integer).

The expressions of fuel cost of two thermal generating units as a function of the respective power generation  and  are given as:

where  is a constant. For a given value of , optimal dispatch requires the total load of  to be shared as  and . With the load remaining unchanged, the value of  is increased by  and optimal dispatch is carried out. The changes in  and the total cost of generation,  in Rs/hour will be as follows:

The Fuel cost functions in rupess/hour for two 600 MW thermal power plants are given by

Plant 1 :

Plant 2 :

When  and  are power generated by plant 1 and plant 2, respectively, in MW and a is constant. The incremental cost of power  is 8 rupees per MWh. The two thermal power plan together meet a total power demand of 550 MW/ The optimal generation of plant 1 and plant 2 in MW respectively, are

Consider the economic dispatch problem for power plant having two generating units. The fuel costs in Rs/MWh along with the generation limits for the two units are given below.

The incremental cost (in Rs/MWh) of the power plant when it supplies 200 MW is ___________.

The incremental costs (in Rupees/MWh) of operating two generating units are functions of their respective powers  and  in MW, are given by         

where,   

For a certain load demand, and  have been chosen such that Rs/MWh and Rs/MWh. If the generations are rescheduled to minimize the total cost, then  is__________.

The fuel cost functions of two power plants are

Where  are the generated powers of two plants, and A and B are the constants. If the two plants optimally share 1000MW load at incremental foul cost of 100 Rs/MWh, the ratio of load shared by plants  is

Two generators have cost functions  and . Their incremental-cost characteristics are,

They need to deliver a combined load of 260 MW. Ignoring the network losses for economic operation, the generation  and  (in MW) are         

The figure shows a two-generator system supplying a load of, connected at bus 2.         

The fuel cost of generators  and  are:

and and he loss in the line is, where the loss coefficient is specified in p.u on a 100MVA base. The most economic power generation schedule in MW is

A load center of 120MW derives power from two power stations connected by 220kV transmission lines of 25km and 75km as shown in the figure below. The three generators ,  and are of 100MW capacity each and have identical fuel cost characteristics. The minimum loss generation schedule for supplying the 120MW load is

A lossless power system has to serve a load of 250 MW. There are two generators (and ) in the system with cost curves and respectively defined as follows:

Where and are the MW injections from generator and  respectively. Then, the minimum cost dispatch will be

The incremental cost curves in Rs/MWhr for two generators supplying a common load of 700 MW are shown in the figures. The maximum and minimum generation limits are also indicated. The optimum generation schedule is:                 

A load centre is at an equidistant from the two thermal generating stations and as shown in Figure. The fuel cost characteristics of the generating stations are given by

Rs/hour

Rs/hour

Where and are the generation in MW of  and , respectively. For most economic generation to meet 300 MW of load, and , respectively, are

Incremental fuel costs (in some appropriate unit) for a power plant consisting of three generating units are

Where is the power in MW generated by unit i, for i = 1, 2 and 3. Assume that all the three units are operating all the time. Minimum and maximum loads on each unit are 50 MW and 300 MW respectively. If the plant is operating on economic load dispatch to supply the total power demand of 700 MW, the power generated by each unit is ____________________.

A power system has two generators with the following cost curves: 

Generator 1:   (Thousand Rupees/Hour)

Generator 2:  (Thousand Rupees/Hour)

The generator limits are

A load demand of 600 MW is supplied by the generators in an optimal manner. Neglecting losses in the transmission network, determine the optimal generation of each generator.

The incremental cost characteristics of two generators delivering 200 MW are as follows

 ,           

For economic operation, the generations  and  should be

In a power system, the fuel inputs per hour of plants 1 and 2 are given as         

         Rs per hour

  Rs per hour

The limits generators are:

Find the economic operating schedule of generation, if the load demand is 130MW, neglecting transmission losses