Design, Analysis & Effect of Variable Parameters on the Main Dimension of Three-Phase Squirrel-Cage Induction Motor by Developing MATLAB-GUI Software

Transcription

1 Design, Analysis & Effect of Variable Paraeters on the Main Diension of Three-Phase Squirrel-Cage Induction Motor by Developing MATLAB-GUI Software Harsh Nain 1*, Sunil Pathania 2, R.K Saini 3 1*, 2, 3 Electrical and Coputer Science Engineering Departent Shoolini University, Solan, H.P (India) Abstract This paper presents the paraeters calculations of the ain diensions of 3.75 KW of Squirrel-Cage Induction Motor & also studied the effect of variable paraeters like Electric & Magnetic loading on the reaining of the paraeters. In this paper soe inputs desired paraeters are assued to calculate the diensions of Stator & Rotor, for this purpose MATLAB GUI software is developed with the help of atheatical equations of Three Phase Induction Motor, which ade the design of the Three Phase Induction Motor easy. Index Ters Paraeter calculations, Analytical results & MATLAB-GUI. I. INTRODUCTION Three Phase Induction Motor is widely used in industries as well as in hoes appliances to its siple, rugged & easy construction. These otors are also called workhorses of the industry. Generally these otors have a high efficiency at the rated speed & torque. This is the reason that the design procedures for induction otor are well established, but there are soe areas which require special attention to ake the design of the otor easy by reducing the lengthily calculation [3-5]. It has been observed that in soe cases the perforance of the achine is not satisfactory & the diensions of the achine is uneconoical, to solve such type of probles the designer have to change soe paraeters like electric & agnetic loading to get the desired paraeter of the achine, which will not be possible with the analytical calculations. To solve such types of difficulties, a MATLAB GUI software is developed. With the help of this software, the paraeters Manuscript received Aug 15, Harsh Nain, Departent of Electrical & Coputer Science, Shoolini University, Solan, H.P, Baghpat, India. Sunil Pathaina, Departent of Electrical & Coputer Science, Shoolini University, Solan, H.P, Solan, India. R.K Saini, Departent of Electrical & Coputer Science, Shoolini University, Solan, H.P, Solan, India Calculations can be easily done without wasting uch tie or analytical calculations. This tool will also be a beneficial tool to check the effect of variable paraeters of the ain diension of the otor [5-8]. ABOUT MATLAB-GUI The MATLAB high-perforance language for technical coputing integrates coputation, visualization & prograing in an easy-to-use environent where probles and solutions are expressed in failiar atheatical notation. Typical uses include Math, coputation and Data acquisition Modelling, siulation and prototyping Data analysis, exploration and visualization Scientific and engineering graphics 1) Application developent, including graphical user interface building. MATLAB is an interactive syste whose basic data eleent is an array that does not require diensioning. It allows you to solve any technical coputing probles, especially those with atrix and vector forulations, in a fraction of the tie it would take to write a progra in a scalar non interactive language such as C. The nae MATLAB stands for atrix laboratory. MATLAB was originally written to provide easy access to atrix software developed by the LINPACK and EISPACK projects. This section shows you how to write M-code that creates the exaple graphical user interface (GUI) shown in the following figure. A pop-up enu listing four data sets that correspond to MATLAB functions: STATOR, ROTOR, NO LOAD CURRENT CALCULATION, LOSS COMPONENT & EFFICIENCY A static text coponent to label the different naes of variable factors. Push buttons used for output. An edit text M-Files and FIG-Files 851

2 M-Files and FIG-Files: By default, the first tie you save or run a GUI, GUIDE stores the GUI in two files: A FIG-file, with extension.fig, that contains a coplete description of the GUI layout and the GUI coponents, such as push buttons, axes, panels, enus, and so on. The FIG-file is a binary file and you cannot odify it except by changing the layout in GUIDE. Note that a FIG-file is a kind of MAT-file. An M-file, with extension., that initially contains initialization code and teplates for soe callbacks that are needed to control GUI behavior. You ust add the callbacks you write for your GUI coponents to this file. As the callbacks are functions, the GUI M-file can never be a MATLAB script. II. Matheatical Equations used for the calculation of Main Diensions Stator & Rotor [1-2] Nuber of Poles (P) = 120*f/NS KVA Input (Q) = Pi/n*Pf Output Coefficient (Co) = 11*B av *ac*kw/1000 Product of D 2 L = Q/Co*NS/0 Area of cross section (a) = c*π/p; Diaeter of Core (D) = D 2 L/a^1/3 Length of Core (L) = a*d N d = L*1000/120 Net Iron Length (Li) = Ki*L-N d *Wd Flux/Pole (F) = B av *π*d*l/p Stator Turns/Phase (Ts) = Es/4.44*f*F*KW Total Stator Conductor (T) = *Ts Nuber of Stator Slot (Ss) = *P*qs Stator Slot Pitch (Yss) = π*d/ss Conductor/Slot (Zss) = T/Ss Total Conductor/Slot (Tc) = Zss*Ss Stator Turns/Phase (T1s) = Tc/ Coil Span (Cs) = Ss/P Pitch Factor (Kp) = cos π/2*cs Distribution Factor (Kd) = sin qs*π/2*cs/qs*sin π/2*cs Stator Winding Factor (Kws) = Kp*Kd Stator Current/Phase (Is) = Q*1000/*Es Area of Stator Conductor (As) = Is/Id Diaeter of Stator Conductor (d) = 4*As/π^0.2 Slot Pitch (AA) = π*d*1000/ss Teeth Width (Wt) = AA-Wss Flux Density in Teeth (Fd) = F*P*1000/Ss*Wt*Li Length of Max Turns (Lts) = 2*L+2.3*Tq+.24 Flux in Stator Core (Fs) = F/2 Area of Stator Core (Acs) = Fs/Fds Depth of Stator Core (Dcs) = Acs/Li Outer Dia of the Stator Core (Do) = D*1000+2*dss+Dcs*1000 Length of Air Gap (Ig) =.2+2*D*L^.5 Diaeter of the Rotor Core (Dr) = D*1000-2*Ig Nuber of Rotor Slots (Sr) = Ss+P/2 Rotor Pole Pitch (Ysr) =π*dr/sr Current in Each Rotor Bar (Ibr) = 2**Kws*Ts*Is*Pf/Sr Area of Each Bar (Abr) = Ibr/Idr Depth of Rotor Bar (Wbr) = Abr/Dbr Width of Rotor Bar (Wbr1) = Wbr+1 Depth of Rotor Slots (Dbr1) = Dbr+3 Slot Pitch at the Rotor of Teeth ( AAbr) = π*d*1000-2*dbr1/sr Slot Width at the Root of Teeth (Wbrt) = AAbr-Wbr1 Flux Density at the Root of the Rotor (Fbrd) = F*P/Sr*Li*Wbrt Length of Each Bar (Lbr) = L*1000+2*20+10 Resistance of Each Bar (Rbr) =.021*Lbr/1000/Abr 852

3 Total Copper Loss in Bars (PLC) = Sr*Ibr*Ibr*Rbr Ring Current (Ier) = Sr*Ibr/π*P Area of Each Ring (Aer) = Ier/Ierd Depth of the Ring (Ded) = Aer/Ted Outer Diaeter of Ring (DCO) = Dr-(2*Wbr1) Inner Diaeter of Ring (Dei) = DCO-2*Ded Mean Diaeter of Ring (De) = DCO+Dei/2 Resistance of Each Ring (Red) =.021*De/1000/Aer Copper in two Ring (PLC1) = 2*Ier*Ier*Red Total Copper Loss (PLC2) =PLC1+PLC Slip at Full Load (SLiP) = PLC2/Pi*1000+PLC2+Pi*10*100 III. The Analytical Results and MATLAB Results are shown in the Table No.(1,2,3) (a) Main Diensions Table N0.1 S.No Paraeters Analyti MATLAB cal GUI Results Results 1 Nuber of Poles(P) KVA Input(Q) Output Coefficient(Co) Product of D 2 L, Area of Cross section(a) Diaeter of Core(D), Length of Core(L), Nd Net Iron Length(Li), (b) Main Diensions for Stator Table No.2 Analy S.No Paraeters s tical MATLAB Result GUI Results 1 Flux/Pole(F),Wb Stator Turns/Phase(Ts) Total Stator Conductor(T) Nuber of Stator Slots(Ss) Stator Slot Pitch(Yss), Conductor/Slot(Zs s) Total Conductor/Slot(T c) 8 Stator Turns/Phase(T1s) Coil Span(Cs) 10 Pitch Factor(Kp) Distribution Factor(Kd) Stator Winding Factor(Kws) Stator Current/Phase(Is) Area of Stator Conductor(As), Diaeter of Stator Conductor(d), Slot Pitch(AA), Teeth Width(Wt), Flux Density in Teeth(Fd) Length of Max Turns(Lts), Flux in Stator Core(Fs),Wb Area of Stator Core(Acs), Depth of Stator Core(Dcs), Outer Dia of the Stator Core(Do), (c) Main Diensions for Rotor Table No.3 S.No Paraeters Analytica l Results 1 Length of Air Gap(Ig), Diaeter of 2 the Rotor Core(Dr), Nuber of 3 Rotor Slots(Sr) MATLAB GUI Results Rotor Pole

4 Pitch(Ysr), Current in Each Rotor Bar(Ibr) Area of Each Bar(Abr), Depth of Rotor Bar(Wbr), Width of Rotor Bar(Wbr1), Depth of Rotor Slots(Dbr1), Slot Pith at the Root of Teeth(AAbr), Slot Width at the Root of Teeth(Wbrt), Flux Density at the Root of the Rotor Teeth(Fbrd)W b/ 2 Length of Each Bar(Lbr), Resistance of Each Bar(Rbr),Oh Total Copper Loss in Bars(PLS),W Ring Current(Ier),A Area of Each Ring(Aer), 2 Depth of the Ring(Ded), Outer Diaeter of Ring(DCO), Inner Diaeter of Ring(Dei), Mean Diaeter of Ring(De), Resistance of Each Ring(Red),Oh Copper in Two Rings(PLC1), W Total Copper Loss(PLC2), W Slip at Full Load(SLiP) Air gap flux density vs Stator turns per phase Table No.4 Air gap flux density in wb/

5 Fig. No-3 Apere conductor vs Stator turns per phase Apere conductors A/ Table No Fig. No-4 Air gap flux density vs Flux density in stator teeth Table No. Air gap flux density in wb/

6 Fig. No-5 Air gap flux density vs ring current Table No.7 Air gap flux density in wb/ Fig. No- Air gap flux density vs Copper loss in end ring Table No.8 Air gap flux density in wb/

7 Fig. No-7 Apere conductor vs Stator conductor per slot Apere conductors A/ Table No Fig. No-8 Apere conductor vs Rotor bar current Table No.10 Apere conductors A/

8 Fig No.9 The effects of variables paraeters on different rating of the achine are shown in Table No.(4-10) and Fig. No-(3-9) CONCLUSION The following conclusion could be ade fro this paper: The developed software provides good support for the desired paraeters calculations. This software also provides a good support for the students who are learning the design process of electric otors. Such type of software can also be used for designing energy efficient achine as a future scope. This software can also be used to calculate the optiize paraeters of electric achine. REFERENCES [1] A.k. Sawhney, Dr.A.Chakrabarti A course in Electrical Machine Design, Dhanpat Rai & Co (p) Ltd,sixth edition,200. [2] M.V.Deshpande, Design & Testing of Electrical Machines,PHI learning private liited,2010. [3] Daut,K.Anayet,M.Irwanto, Paraeter Calculation of 5HP AC Induction Motor,ICADME, October [4] Eugene O AGBACHI,Jaes G AMBAFI, Design and Analysis of Three Phase Induction Motor using Coputer Progra,World L of Engineering and Pure and Applied Sci.,2012. [5] Deepa Vincent,Bindu R, Three Phase Induction Motor Design in Windows Prograing Platfor,IJEIT,VOL.3,1-July [] Dr.A.Raghura,V.Shashikala, Design and Optiization of Three Phase Induction Motor using Genetic Algorith,IJACST,VOL.2,June [7] C.Thanga Raj,Radha Thangaraj, Design Optiization of Induction Motors with Differential Evolution Algoriths with an Application in Textile Spinning, Applied Artificial Intelligence,2012. [8] B M Shara, Iproving the Perforance of Induction Motors for Agricultural Puping Applications under Variable Supply Voltage: A Design Consideration,IE(I)Journal-EL,VOL.88,June2007. Hrash Nain is pursuing his M.Tech in Electronics and Counication Engineering fro Shoolini University, Solan, H.P, India. He has done B.Tech in Electronics and Counications Engineering in 2013 fro M.I.I.T,Meerut, U.P, India. 858