EE6604 unit2
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The document discusses the output equation of a DC machine. It relates the output power to the main dimensions and flux/current parameters. The output power is equal to the magnetic loading multiplied by the electric loading multiplied by speed. The magnetic and electric loadings depend on flux density, current, and dimensions. Choosing values for flux density and current density allows determining the required dimensions for a given output power specification.
EE6604 unit2
- 1. EE6604 DESIGNOF ELECTRICAL MACHINES ELECTRICAL AND ELECTRONICS ENGINEERING SRI KRISHNA KUMAR S HTS953 AP/EEE
- 2. UNITII DC MACHINES Output Equations 1 1 11 Main Dimensions Choice of Specific Electric and Magnetic Loading 1 1 Magnetic Circuits Calculations 1 1Carter’s Coefficient Net length of Iron Real & Apparent flux densities 1 1 Selection of number of poles 1 Design of Armature 1 Design of commutator and brushes Performance prediction using design values 1
- 3. 2.1. Output equation of a DC machine Output equation relates the output and main dimensions of the machine. Actually it relates the power developed in the armature and main dimensions. E : EMF induced or back EMF Ia : armature current Φ:Average value of flux / pole Z : Total number of armature conductors N : Speed in rpm n : Speed in rps P : Number of poles A : number of armature paths or circuits D : Diameter of the armature L : Length of the armature core
- 4. Power developed in the armature in kW, Pa= E Ia x 10-3 =(φZNP/60 A)× Ia× 10-3 2.1. Output equation of a DC machine
- 5. 2.1. Output equation of a DC machine •Find the dimensions of a 200kW, 250V, 6 pole, 1000 rpm DC generator. The maximum value of flux density in air gap is 0.87wb/m2 and the ampere conductors per metre length of armature periphery are 31000. Ratio of pole arc to pole pitch is 0.67 and efficiency 91%. Assume that the ratio of core length to pole pitch = 0.75. (AU MAY 2008)
- 6. Power developed in the armature in kW, Pa= E Ia x 10-3 =(φZNP/60 A)× Ia× 10-3 =(Pφ)×(IaZ/A)×N x 10-3/60 =(Pφ)×(IaZ/A)×n x 10-3....... (1) The term P φ represents the total flux and is called the magnetic loading. Magnetic Loading per unit area of the armature surface is called the specific magnetic loading or average value of the flux density in the air gap Bav. 2.1. Output equation of a DC machine
- 7. Power developed in the armature in kW, Pa= E Ia x 10-3 =(φZNP/60 A)× Ia× 10-3 =(Pφ)×(IaZ/A)×N x 10-3/60 =(Pφ)×(IaZ/A)×n x 10-3....... (1) The term P φ represents the total flux and is called the magnetic loading. Magnetic Loading per unit area of the armature surface is called the specific magnetic loading or average value of the flux density in the air gap Bav. Bav = Pφ /π DL Wb/m2 or tesla denoted by T Therefore Pφ = Bav π DL ................ (2) 2.1. Output equation of a DC machine
- 8. Power developed in the armature in kW, Pa= E Ia x 10-3 =(φZNP/60 A)× Ia× 10-3 =(Pφ)×(IaZ/A)×N x 10-3/60 =(Pφ)×(IaZ/A)×n x 10-3....... (1) The term P φ represents the total flux and is called the magnetic loading. Magnetic Loading per unit area of the armature surface is called the specific magnetic loading or average value of the flux density in the air gap Bav. That is, Bav = Pφ /π DL Wb/m2 or tesla denoted by T Therefore Pφ = Bav π DL ................ (2) The term (Ia Z/A) represents the total ampere-conductors on the armature and is called the electric loading. 2.1. Output equation of a DC machine
- 9. Power developed in the armature in kW, Pa= E Ia x 10-3 =(φZNP/60 A)× Ia× 10-3 =(Pφ)×(IaZ/A)×N x 10-3/60 =(Pφ)×(IaZ/A)×n x 10-3....... (1) The term P φ represents the total flux and is called the magnetic loading. Magnetic Loading per unit area of the armature surface is called the specific magnetic loading or average value of the flux density in the air gap Bav. That is, Bav = Pφ /π DL Wb/m2 or tesla denoted by T Therefore Pφ = Bav π DL ................ (2) The term (Ia Z/A) represents the total ampere-conductors on the armature and is called the electric loading. Electric loading/unit length of armature periphery is called the specific electric loading q. That is, q= IaZ / π A D Amp-cond / m 2.1. Output equation of a DC machine
- 10. Power developed in the armature in kW, Pa= E Ia x 10-3 =(φZNP/60 A)× Ia× 10-3 =(Pφ)×(IaZ/A)×N x 10-3/60 =(Pφ)×(IaZ/A)×n x 10-3....... (1) The term P φ represents the total flux and is called the magnetic loading. Magnetic Loading per unit area of the armature surface is called the specific magnetic loading or average value of the flux density in the air gap Bav. That is, Bav = Pφ /π DL Wb/m2 or tesla denoted by T Therefore Pφ = Bav π DL ................ (2) The term (Ia Z/A) represents the total ampere-conductors on the armature and is called the electric loading. Electric loading/unit length of armature periphery is called the specific electric loading q. That is, q= IaZ / π A D Amp-cond / m Therefore Ia Z/A = q π D ............ (3) 2.1. Output equation of a DC machine
- 11. Power developed in the armature in kW, Pa= E Ia x 10-3 =(φZNP/60 A)× Ia× 10-3 =(Pφ)×(IaZ/A)×N x 10-3/60 =(Pφ)×(IaZ/A)×n x 10-3....... (1) The term P φ represents the total flux and is called the magnetic loading. Magnetic Loading per unit area of the armature surface is called the specific magnetic loading or average value of the flux density in the air gap Bav. That is, Bav = Pφ /π DL Wb/m2 or tesla denoted by T Therefore Pφ = Bav π DL ................ (2) The term (Ia Z/A) represents the total ampere-conductors on the armature and is called the electric loading. Electric loading/unit length of armature periphery is called the specific electric loading q. That is, q= IaZ / π A D Amp-cond / m Therefore Ia Z/A = q π D ............ (3) Substitution of equations 2 and 3 in 1, leads to kW = Bav π DL × q π D × (n × 10-3) 2.1. Output equation of a DC machine
- 12. Power developed in the armature in kW, Pa= E Ia x 10-3 =(φZNP/60 A)× Ia× 10-3 =(Pφ)×(IaZ/A)×N x 10-3/60 =(Pφ)×(IaZ/A)×n x 10-3....... (1) The term P φ represents the total flux and is called the magnetic loading. Magnetic Loading per unit area of the armature surface is called the specific magnetic loading or average value of the flux density in the air gap Bav. That is, Bav = Pφ /π DL Wb/m2 or tesla denoted by T Therefore Pφ = Bav π DL ................ (2) The term (Ia Z/A) represents the total ampere-conductors on the armature and is called the electric loading. Electric loading/unit length of armature periphery is called the specific electric loading q. That is, q= IaZ / π A D Amp-cond / m Therefore Ia Z/A = q π D ............ (3) Substitution of equations 2 and 3 in 1, leads to kW = Bav π DL × q π D × (n × 10-3) = B q D2 L n = π2Bav q C0 D2 L N 10-3 Where C0= π2Bav q 10-3 is called the output coefficeint of the DC machine 2.1. Output equation of a DC machine