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barcode reader code in c# net DC Series Motor Analysis in Software
EXAMPLE 178 DC Series Motor Analysis Recognize QR Code ISO/IEC18004 In None Using Barcode Control SDK for Software Control to generate, create, read, scan barcode image in Software applications. Painting Denso QR Bar Code In None Using Barcode creation for Software Control to generate, create QRCode image in Software applications. Problem
Recognizing QR Code In None Using Barcode decoder for Software Control to read, scan read, scan image in Software applications. Making QR Code ISO/IEC18004 In C# Using Barcode encoder for .NET framework Control to generate, create QR Code image in .NET applications. Determine the torque developed by a DC series motor when the current supplied to the motor is 60 A
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QR Printer In Visual Basic .NET Using Barcode generator for .NET framework Control to generate, create QR Code ISO/IEC18004 image in .NET framework applications. DataMatrix Creator In None Using Barcode maker for Software Control to generate, create DataMatrix image in Software applications. Electromechanics
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GTIN  12 Creation In None Using Barcode printer for Software Control to generate, create GS1  12 image in Software applications. UCC128 Creator In None Using Barcode maker for Software Control to generate, create UCC  12 image in Software applications. Known Quantities: Motor ratings; operating conditions Find: T60 , torque delivered at 60A series current Schematics, Diagrams, Circuits, and Given Data: Motor ratings: 10 hp; 115 V; full I2/5 Drawer In None Using Barcode generator for Software Control to generate, create ANSI/AIM I2/5 image in Software applications. ECC200 Encoder In Visual Basic .NET Using Barcode generator for Visual Studio .NET Control to generate, create Data Matrix ECC200 image in Visual Studio .NET applications. load speed = 1,800 rev/min Operating conditions: motor draws 40 A
Reading Barcode In .NET Using Barcode reader for .NET Control to read, scan read, scan image in .NET framework applications. Paint European Article Number 13 In None Using Barcode generator for Office Word Control to generate, create EAN / UCC  13 image in Office Word applications. Assumptions: The motor operates in the linear region of the magnetization curve Analysis: Within the linear region of operation, the ux per pole is directly proportional to the current in the eld winding That is, Creating DataMatrix In ObjectiveC Using Barcode drawer for iPad Control to generate, create Data Matrix image in iPad applications. Making EAN13 In Visual Studio .NET Using Barcode encoder for .NET Control to generate, create EAN13 image in .NET applications. = k S Ia The fullload speed is n = 1,800 rev/min or 2 n = 60 rad/s 60 Rated output power is m = Prated = 10 hp 746 W/hp = 7,460 W and fullload torque is T40A = Prated 7,460 = 3958 Nm = m 60 Painting Bar Code In Java Using Barcode generator for Java Control to generate, create bar code image in Java applications. Draw Code 39 In VS .NET Using Barcode generation for .NET Control to generate, create USS Code 39 image in .NET framework applications. Thus, the machine constant may be computed from the torque equation for the series motor: 2 2 T = ka kS Ia = KIa
At full load, 3958 Nm Nm = 00247 2 2 A2 40 A and we can compute the torque developed for a 60A supply current to be K = ka kS = 2 T60A = KIa = 00247 602 = 8892 Nm
EXAMPLE 179 Dynamic Response of PM DC Motor
Problem
Develop a set of differential equations and a transfer function describing the dynamic response of the motor angular velocity of a PM DC motor connected to a mechanical load Solution
Known Quantities: PM DC motor circuit model; mechanical load model Find: Differential equations and transfer functions of electromechanical system 17
Introduction to Electric Machines
Analysis: The dynamic response of the electromechanical system can be determined by
applying KVL to the electrical circuit (Figure 1720), and Newton s second law to the mechanical system These equations will be coupled to one another, as you shall see, because of the nature of the motor back emf and torque equations Applying KVL and equation 1747 to the electrical circuit we obtain: VL (t) Ra Ia (t) La or dIa (t) + Ra Ia (t) + KaPM m (t) = VL (t) dt Applying Newton s second law and equation 1746 to the load inertia, we obtain: La J or d (t) + b (t) = Tload (t) dt These two differential equations are coupled because the rst depends on m and the second on Ia Thus, they need to be solved simultaneously To derive the transfer function, we Laplacetransform the two equations to obtain: KT PM Ia (t) + J (sLa + Ra )Ia (s) + KaPM (s) = VL (s) KT PM Ia (s) + (sJ + b) (s) = Tload (s) We can write the above equations in matrix form and resort to Cramer s rule to solve for m (s) as a function of VL (s) and Tload (s) (sLa + Ra ) KT PM with solution det m (s) dIa (t) Eb (t) = 0 dt
d (t) = T (t) Tload (t) b dt
KaPM (sL + b) (sLa + Ra ) KT PM (sLa + Ra ) KT PM
Ia (s) m (s) VL (s) Tload (s) VL (s) Tload (s) Ka PM (sJ + b) = det
m (s) (sLa + Ra ) Tload (s) (sLa + Ra )(sJ + b) + Ka PM KT PM + KT PM VL (s) (sLa + Ra )(sJ + b) + Ka PM KT PM Comments: Note that the dynamic response of the motor angular velocity depends on
both the input voltage and on the load torque This problem is explored further in the homework problems DC Drives and DC Motor Speed Control The advances made in power semiconductors have made it possible to realize lowcost speed control systems for DC motors The basic operation of controlled recti er and chopper drives for DC motors was described in 11 In the present section we describe some of the considerations that are behind the choice of a speci c drive type, and of some of the loads that are likely to be encountered Part III
Electromechanics
Constanttorque loads are quite common, and are characterized by a need for constant torque over the entire speed range This need is usually due to friction; the load will demand increasing horsepower at higher speeds, since power is the product of speed and torque Thus, the power required will increase linearly with speed This type of loading is characteristic of conveyors, extruders, and surface winders Another type of load is one that requires constant horsepower over the speed range of the motor Since torque is inversely proportional to speed with constant horsepower, this type of load will require higher torque at low speeds Examples of constanthorsepower loads are machine tool spindles (eg, lathes) This type of application requires very high starting torques Variabletorque loads are also common In this case, the load torque is related to the speed in some fashion, either linearly or geometrically For some loads, for example, torque is proportional to the speed (and thus horsepower is proportional to speed squared); examples of loads of this type are positive displacement pumps More common than the linear relationship is the squaredspeed dependence of inertial loads such as centrifugal pumps, some fans, and all loads in which a ywheel is used for energy storage To select the appropriate motor and adjustable speed drive for a given application, we need to examine how each method for speed adjustment operates on a DC motor Armature voltage control serves to smoothly adjust speed from 0 to 100 percent of the nameplate rated value (ie, base speed), provided that the eld excitation is also equal to the rated value Within this range, it is possible to fully control motor speed for a constanttorque load, thus providing a linear increase in horsepower, as shown in Figure 1724 Field weakening allows for increases in speed of up to several times the base speed; however, eld control changes the characteristics of the DC motor from constant torque to constant horsepower, and therefore the torque output drops with speed, as shown in Figure 1724 Operation above base speed requires special provision for eld control, in addition to the circuitry required for armature voltage control, and is therefore more complex and costly Torque (% rated) 100 Field control Armature control 200 100 Base speed 300 400 500 Speed (% rated) Horsepower (% rated) 100 Field control Armature control 200 100 Base speed 300 400 500 Speed (% rated)

