Keywords

1 Introduction

The HVAC system is low-cost application of speed drive which is a variable; in this diode, rectifiers are generally used as the front-end circuit for higher reliability [1]. As shown in Fig. 1, three-phase diode rectifier and PWM inverter for IM drive electrolytic capacitors are generally used to balance time-to-time base i/p and o/p power and also voltage spike suppression occurred by operation of switching and leakage of inductance [2, 3]. And general study power electronics devices failed because of voltage spikes caused by parasitic lead of inductance.

Fig. 1
figure 1

Three-phase diode rectifier and PWM inverter for IM drive

Electrolytic capacitors are responsible for most of the breakdown according to the survey [4]. Therefore, for long time closed-loop current controller is used to regulating the air-gap torque and flux linkages in AC motors according to the studies [4,5,6].

2 Problem Statement

As shown in Fig. 1 as per given construction, DC-link voltage and o/p power to the motor decrease with the time because of the absence of energy storage device. So, the speed is decreased below base level and this leads to the problem of field weakening, anti-windup control and over-modulation. On the other hand, there is problem regarding utilization of voltage at extinct level because of circular voltage boundary.

3 Methodology

This paper gives the new idea about the position sensor-less vector controlled IM drive system integrated in HVAC system a Small DC link film fed by capacitor inverter a three-phase diode front-end diode rectifier is feeds power supply to motor.

Above-mentioned problems overcome by PI motor current regulator-free control strategy with combination of hexagon voltage manipulating controller (HVC). The MBC deals with the command output voltage with the intersection of torque and rotor flux linkage.

Figure 2 shows the idea about the various facts related to vectors. The MBC controls action at low speed, and HVC operates at high speed.

Fig. 2
figure 2

Proposed IM control strategy for small capacitor inverters

$$ v_{{ds_{\text{HVC}} }}^{e*} = \frac{{B_{n} + \sqrt {B_{n}^{2} - 4M_{n\gamma } } }}{{2M_{n} }} $$
(1)
$$ v_{{qs_{\text{HVC}} }}^{e*} = M_{n} \cdot v_{{ds_{\text{HVC}} }}^{e*} + B_{n} $$
(2)

where

$$ \gamma = \frac{{T_{e}^{*} }}{{\frac{3}{2} \frac{P}{2} \frac{{L_{m}^{2} }}{{L_{r} }} \frac{1}{{w_{e}^{2 } L_{S } \sigma L_{s} }}}} $$
$$ v_{ds }^{e*} \_{\text{MBC}} = - w_{e} \sigma L_{s} \left( {\frac{{T_{e}^{*} }}{{\frac{3}{2} \frac{P}{2} \frac{{L_{m} }}{{L_{r} }} \lambda_{dr}^{e*} }}} \right) + R_{s} i_{qs}^{e*} $$
(3)
$$ v_{{ds_{{ - {\text{MBC}}}} }}^{e*} = w_{e} L_{s} \frac{{ \lambda_{dr}^{e*} }}{{L_{m} }} + R_{s} i_{qs}^{e*} $$
(4)

Equations 1, 2 deal with the hexagonal voltage boundary, and Eqs. 3, 4 deal with model-based controller which is shown in Figs. 3 and 4.

Fig. 3
figure 3

Voltage command selection in the MBC mode

Fig. 4
figure 4

Voltage command selection in the HVC mode

The motor torque is regulated around a desired torque line in the presence of rapid voltage variations.

Figure 4 shows the idea about the representations of stator voltage solutions between the torque curves and rotating hexagon, which bus shrinks the inverter DC bus voltage.

In this paper, we are replacing the electrolytic capacitor with the DC-link film capacitor, as well as design the state filter as shown in Fig. 5.

Fig. 5
figure 5

Overall control block diagram

So, from the following simulation result we can compare between systems with different capacitors. From the following figures, we can calculate THD also, so the results are improved in terms of DC-link film capacitor.

4 Result

4.1 Output Graph for Electrolytic Capacitor

See Fig. 6.

Fig. 6
figure 6

a Simulink result with parameter 1. DC-link voltage, 2. flag signal, 3. air-gap torque, 4. rotor flux linkage; b XY-axis graph of hexagonal voltage boundary X-axis \( v_{ds}^{s*} \) and Y-axis \( v_{qs}^{s*} \)

4.2 Output Graph for DC-Link Film Capacitor

Figure 6a, b shows the result of the system with the electrolytic capacitor. Figure 7a, b shows the proposed system with DC-link film capacitor, and 6.4 shows the result of the same. The resulting figure clearly shows the difference between the results by using the electrolytic capacitor.

Fig. 7
figure 7

a Simulink result with parameter 1. DC-link voltage, 2. flag signal, 3. air-gap torque, 4. rotor flux linkage b XY-axis graph of hexagonal voltage boundary X-axis \( v_{ds}^{s*} \) and Y-axis \( v_{qs}^{s*} \)

5 Conclusion

This paper gives analytical solution leading to the dynamic voltage modification at each time step with respect to the available DC bus voltage from the results of both methods. We can say that DC-link film capacitor has advantages than electrolytic capacitor. By means, hexagonal boundary losses are reduced.