# A Novel Five-level Inverter topology Applied to Four Pole Induction Motor Drive with Single DC Link

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2 sets of identical voltage profile windings will be present in the total phase winding (M. G. Say, 1990). These two windings are connected in series as shown in fig. 2(a). For the proposed inverter these two identical voltage profile winding coils are disconnected, and the available four terminals are taken out, like shown in the fig.2 (b). Since these two windings are separated equally, stator resistance, Stator leakage inductance and the magnetizing inductance of each identical voltage profile windings are equal to the half of the normal induction motor shown in fig.2 (a). The voltage equitation for the stator winding is given by common dc link. - =( )* +( ) -( )* * - * * (1) - =( )* +( ) -( )* * - * * (2) Fig. 2: Induction Motor stator winding: (a) General arrangement (b) Arrangement for the proposed inverter The effective voltage across the stator winding is the sum of the voltages across the two individual windings. - )+( - ) (3) The motor phase voltage can be achieved by substituting equations (1) and (2) in (3) =(r s )* + - *L m * - *L m * (4) Similarly voltage equitation for the remaining phases are (r s )* + - *L m * - *L m * (5) (r s )* + - *L m * - *L m * (6) Voltage equations in dq0 frame can be solved from the basic equations of induction motor. = * +ω* +ρ* = * +ω* +ρ* = * +ρ* * + )* +ρ* * + )* +ρ* = * +ρ* Flux linkages are as follows = * = * The expression for the electromagnetic torque in terms of dq0 axis currents is T e = *L M *(i qs *i dr +i ds *i qr ) (7) Rotor speed in terms of Torque is ω e =( )*(T e -T L ) (8) Where d: direct axis, q: quadrature axis, s: stator variable, r: rotor variable,,,: q and d axis stator voltages,,,: q and d axis rotor voltages, : Rotor resistance, : Stator resistance, L1s: stator leakage inductance, L1r : rotor leakage inductance, iqs,ids: q and d axis stator currents, iqr, idr: q and d axis rotor currents, p: number of poles, J: moment of inertia, Te : electrical output torque, TL : load torque. From the equations (4), (5),(6) it can be observed that there is no difference between the normal induction motor shown in fig.2 (a) and the disconnected (Identical voltage profile windings) motor shown in fig.2 (b). 3. Proposed Five-Level Inverter Topology The five-level inverter topology has proposed for the four pole induction motor drive. The two identical voltage profile winding coils are disconnected, total four available terminals were taken out and fed with four two-level inverters and it is shown in fig. 3. These four two-level inverters were supplied with a single DC source having magnitude. In the fig.3 S11 to S16 are the switches of the first inverter, S21 to S26 are the switches of the second inverter, S31 to S36 are the switches of the third inverter, S41 to S46 are the switches of the fourth inverter. The blocking voltage of all these switches is (S11, S12), (S13, S14), (S15, S16) are the complementary switches of the first inverter (that is if S11 is on S12 will be off) and it is same to remaining three inverters. The switches S1 to S6 are the auxiliary switches needed to isolate the middle two inverters (invert-2 and inverter-3 as shown in fig.2) during the voltage levels of -, 0, (K. Sivakumar, 2010). If the switches S1 to S6 are shorted, then unequal voltage distribution will happen across the motor phase windings (two identical voltage profile windings) which in turn causes unequal flux distribution and is explained clearly in (M. G. Say, 1990). The possible switching combinations available for A-phase for generating five voltage levels (-,-, ) across motor terminals is shown in the Table-I. The proposed five-level inverter topology is compared with conventional topologies (in terms of the switching devices, capacitor 111 International Journal of Current Engineering and Technology, Vol.4, No.1 (Feb 2014)

3 banks, and isolated voltage sources), and is presented in the table-ii. of rating 3* ), six diodes of rating and six diodes of rating. The proposed topology requires one DC source having magnitude but H-Bridge inverter require six voltage source of magnitude and NPC, FC require one DC source having magnitude Vdc. 4. Sine Triangle Pulse Width Modulation Fig. 3: Proposed five-level inverter Table I Possible switching combinations to generate five voltage levels A sine-triangle PWM for the multi-level inverters is used to generate the gating pulses for the proposed inverter topology (McGrath et al, 2002). In the Sine triangle Pulse width modulation for generating five voltage levels on motor phase winding, it requires one modulating signal and four carrier signals (McGrath et al, 2002) as shown in the fig.4. The frequency of the modulating signal (sine wave) is maximum of 50HZ, whereas the carrier signal frequency is kept at constant at 2 KHZ. Fig 4 Modulating and carrier waves for generating pulses in SPWM The patron followed for generating the five voltage levels for one phase is shown in the Table-3 Table-II Comparison between the conventional topologies with proposed one Table-III Comparison of carrier and modulating signals corresponding to the output voltage Switches* = Switches (with a voltage rating of ) Capacitor Banks* = Number of capacitor banks (with a voltage rating of ) It can be observed that the number of main (inverter) switches required is the same for all the topologies. But the proposed topology does not require any additional clamping diodes whereas the NPC does require six diodes When VM > Vcr1 switches S11, S22, S31, S42 of Phase- A are conducting and it is giving the output voltage +Vdc/2. Vcr2 < VM <Vcr1 switches S11, S22, S32, S42 of Phase-A are Conducting and it is giving the output voltage + Vdc/4. Vcr3 < VM < Vcr2 switches S12, S22, S32, S42 of Phase-A are Conducting and it is giving the output voltage 0. Vcr4 < VM <Vcr3 switches S11, S22, S32, S41 of Phase-A are conducting and it is giving the output voltage Vdc/4. VM < Vcr4 switches S12, S21, S32, S41 of Phase-A are Conducting and it is giving the output voltage Vdc/2. Many switching combinations are possible (which are shown in Table-I) but above stated switching combinations are used to minimize the switching transitions from one voltage level to other voltage level. 112 International Journal of Current Engineering and Technology, Vol.4, No.1 (Feb 2014)

4 5. Matlab Modeling and Simulation Results The propose five-level inverter is simulated with induction motor. The gating pulses, to the switches of the proposed five-level inverter, were generated with sintriangle pulse width modulation. The four terminals (per phase) of the induction motor connected to four inverters with single DC link, having magnitude Vdc/4. Here simulation is carried out in different cases 1). Proposed Five Level Inverter Topology 2). Proposed Five Level Inverter Topology with Induction Machine Drive. Fig.7 shows the Top trace is the voltage between the points A1 and A2. Second Top trace is the voltage between the points A3 and A4. Third Top trace is the effective voltage across the motor phase winding. Case 2: Proposed Five Level Inverter Topology with Induction Machine Drive Case 1: Proposed Five Level Inverter Topology Fig.5 Matlab/Simulink Model of Proposed Five Level Inverter Topology Fig.5 shows the Matlab/Simulink Model of Proposed Five Level Inverter Topology using Matlab/Simulink Platform. Fig.8 Matlab/Simulink Model of Proposed Five Level Inverter Topology with Induction Machine Drive Fig.8 shows the Matlab/Simulink Model of Proposed Five Level Inverter Topology with Induction Machine Drive using Matlab/Simulink Platform. Fig.6 Top trace is the voltage between the points A1 and A2. Second Top trace is the voltage between the points A3 and A4. Third Top trace is the effective voltage across the motor phase winding. Fig.6 shows the Top trace is the voltage between the points A1 and A2. Second Top trace is the voltage between the points A3 and A4. Third Top trace is the effective voltage across the motor phase winding. Fig.9 Three Phase Five Level Output Voltage Fig.9 shows the Three Phase Five Level Output Voltage of Proposed Five Level Inverter Topology with Induction Machine Drive. Fig.7 Top trace is the voltage between the points A1 and A2. Second Top trace is the voltage between the points A3 and A4. Third Top trace is the effective voltage across the motor phase winding. Fig.10 Stator Current, Speed, Electromagnetic Torque Fig.10 shows the Stator Current, Speed, and Electromagnetic Torque of Proposed Five Level Inverter Topology with Induction Machine Drive. 113 International Journal of Current Engineering and Technology, Vol.4, No.1 (Feb 2014)

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