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Simulator 16 User Guide - PowerWorld

Simulator 16 User Guide - PowerWorld

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Generator Economic Curves<br />

Four characteristic curves describe the efficiency and resulting costs associated with operating a<br />

particular generating unit. These four curves plot<br />

Fuel Cost<br />

Heat Rate<br />

Input-Output<br />

Incremental Cost<br />

<strong>Simulator</strong> can display plots of all these curves. To display a particular plot for a generator, right-click<br />

on the generator in Run Mode to display its local menu, and then select the plot you wish to see. The<br />

plot will be presented in its own window. The windows for all plots exhibit identical characteristics. For<br />

example, the current operating point is identified by a red filled circle. Right clicking on an open area<br />

of the window displays the plot’s local menu which allows you to print the plot, save it to a file, or copy<br />

it to the clipboard for use in other programs. To adjust the length and number of intervals shown on<br />

an axis, right-click on the axis (not on the numbers) then specify the min and max display values and<br />

number of intervals. To close a plot window, simply click the X button in its top right corner.<br />

The Run Mode generator local menu also provides access to a fifth type of plot curve - the "All Area<br />

Gen IC Curves" plot. This plot simply shows the incremental cost curves and present operating points<br />

of all generators in the same area as the generator on which you clicked.<br />

Fuel Cost Curve<br />

The fuel cost curve specifies the cost of fuel used per hour by the generating unit as a function of<br />

the unit’s MW output. This is a monotonically increasing convex function.<br />

Heat-rate Curve<br />

The heat rate curve plots the heat energy required per MWH of generated electrical output for the<br />

generator as a function of the generator’s MW output. Thus, the heat rate curve indicates the<br />

efficiency of the unit over its operating range. Generally, units are least efficient at the minimum and<br />

maximum portions of their MW output capability and most efficient somewhere in the middle of their<br />

operating range. The vertical axis is plotted in MBtu/MWH and the horizontal axis is plotted in MW.<br />

You may interpret the heat rate for a generator producing X MW as follows: the heat rate indicates<br />

the amount of heat input energy per MWH of generation required to produce X MW of power. The<br />

lower this number, the less input energy is required to produce each MWH of electricity.<br />

Input-Output Curve<br />

The input-output curve is derived simply from the heat-rate curve by multiplying it by the MW output<br />

of the unit. This yields a curve showing the amount of heat input energy required per hour as a<br />

function of the generator’s output.<br />

Incremental Cost Curve<br />

By multiplying the input-output curve by the cost of the fuel in $/MBTU, one obtains the cost curve<br />

for the unit in $/hr. By taking the derivative of the cost curve, one obtains the incremental cost<br />

curve, which indicates the marginal cost of the unit: the cost of producing one more MW of power at<br />

that unit.<br />

©2011 <strong>PowerWorld</strong> Corporation<br />

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