30
TYPES OF CONVERTERS AC to DC Converters (RECTIFIER) Introduction One of the first and most widely used application of power electronic devices have been in rectification. Rectification refers to the process of converting an ac voltage or current source to dc voltage and current. Rectifiers specially refer to power electronic converters where the electrical power flows from the ac side to the dc side. In many situations the same converter circuit may carry electrical power from the dc side to the ac side where upon they are referred to as inverters. In this lesson and subsequent ones the working principle and analysis of several commonly used rectifier circuits supplying different types of loads (resistive, inductive, capacitive, back emf type) will be presented. Points of interest in the analysis will be. • Waveforms and characteristic values (average, RMS etc) of the rectified voltage and current. • Influence of the load type on the rectified voltage and current. • Harmonic content in the output. • Voltage and current ratings of the power electronic devices used in the rectifier circuit. • Reaction of the rectifier circuit upon the ac network, reactive power requirement, power factor, harmonics etc.

Effect of Source Inductance

Embed Size (px)

Citation preview

Page 1: Effect of Source Inductance

TYPES OF CONVERTERS

AC to DC Converters (RECTIFIER)

Introduction

One of the first and most widely used application of power electronic devices have been in

rectification. Rectification refers to the process of converting an ac voltage or current source to

dc voltage and current. Rectifiers specially refer to power electronic converters where the

electrical power flows from the ac side to the dc side. In many situations the same converter

circuit may carry electrical power from the dc side to the ac side where upon they are referred to

as inverters. In this lesson and subsequent ones the working principle and analysis of several

commonly used rectifier circuits supplying different types of loads (resistive, inductive,

capacitive, back emf type) will be presented. Points of interest in the analysis will be.

• Waveforms and characteristic values (average, RMS etc) of the rectified voltage and

current.

• Influence of the load type on the rectified voltage and current.

• Harmonic content in the output.

• Voltage and current ratings of the power electronic devices used in the rectifier circuit.

• Reaction of the rectifier circuit upon the ac network, reactive power requirement, power

factor, harmonics etc.

• Rectifier control aspects (for controlled rectifiers only)

In the analysis, following simplifying assumptions will be made.

• The internal impedance of the ac source is zero.

• Power electronic devices used in the rectifier are ideal switches.

The first assumption will be relaxed in a latter module. However, unless specified otherwise, the

second assumption will remain in force.

Page 2: Effect of Source Inductance

Rectifiers are used in a large variety of configurations and a method of classifying them into

certain categories (based on common characteristics) will certainly help one to gain significant

insight into their operation. Unfortunately, no consensus exists among experts regarding the

criteria to be used for such classification. For the purpose of this lesson (and subsequent lessons)

the classification shown in Fig 9.1 will be followed.

DC – DC CONVERTER

There are three basic types of dc-dc converter circuits, termed as buck, boost and buck-boost. In all

of these circuits, a power device is used as a switch. This device earlier used was a thyristor, which is

turned on by a pulse fed at its gate. In all these circuits, the thyristor is connected in series with load

to a dc supply, or a positive (forward) voltage is applied between anode and cathode terminals. The

thyristor turns off, when the current decreases below the holding current, or a reverse (negative)

voltage is applied between anode and cathode terminals. So, a thyristor is to be force-commutated,

for which additional circuit is to be used, where another thyristor is often used. Later, GTO’s came

into the market, which can also be turned off by a negative current fed at its gate, unlike thyristors,

requiring proper control circuit. The turn-on and turn-off times of GTOs are lower than those of

thyristors. So, the frequency used in GTO-based choppers can be increased, thus reducing the size of

filters. Earlier, dc-dc converters were called ‘choppers’, where thyristors or GTOs are used. It may be

Page 3: Effect of Source Inductance

noted here that buck converter (dc-dc) is called as ‘step-down chopper’, whereas boost converter (dc-

dc) is a ‘step-up chopper’. In the case of chopper, no buck-boost type was used.

With the advent of bipolar junction transistor (BJT), which is termed as self-commutated

device, it is used as a switch, instead of thyristor, in dc-dc converters. This device (NPN transistor) is

switched on by a positive current through the base and emitter, and then switched off by withdrawing

the above signal. The collector is connected to a positive voltage. Now-a-days, MOSFETs are used

as a switching device in low voltage and high current applications. It may be noted that, as the turn-

on and turn-off time of MOSFETs are lower as compared to other switching devices, the frequency

used for the dc-dc converters using it (MOSFET) is high, thus, reducing the size of filters as stated

earlier. These converters are now being used for applications, one of the most important being

Switched Mode Power Supply (SMPS). Similarly, when application requires high voltage, Insulated

Gate Bi-polar Transistors (IGBT) are preferred over BJTs, as the turn-on and turn-off times of IGBTs

are lower than those of power transistors (BJT), thus the frequency can be increased in the

converters using them. So, mostly self-commutated devices of transistor family as described are

being increasingly used in dc-dc converters

TYPES OF DC –DC CONVERTERS

Buck Converters (dc-dc)

Boost Converters (dc-dc)

Buck-Boost Converters (dc-dc)

AC –AC CONVERTER

An AC/AC converter converts an AC waveform such as the mains supply, to another AC

waveform, where the output voltage and frequency can be set arbitrarily.

AC/AC converters can be categorized into

Converters with a DC-link.

Hybrid Matrix Converters.

Matrix Converters.

Page 4: Effect of Source Inductance

As shown in Fig 1. For such AC-AC conversion today typically converter systems with a voltage

(Fig. 2) or current (Fig. 3) DC-link are employed. For the voltage DC-link, the mains coupling

could be implemented by a diode bridge. To accomplish braking operation of a motor, a braking

resistor must be placed in the DC-link. Alternatively, an anti-parallel thyristor bridge must be

provided on the mains side for feeding back energy into the mains. The disadvantages of this

solution are the relatively high mains distortion and high reactive power requirements (especially

during inverter operation).

An AC/AC converter with approximately sinusoidal input currents and bidirectional power flow

can be realized by coupling a PWM rectifier and a PWM inverter to the DC-link. The DC-link

quantity is then impressed by an energy storage element that is common to both stages, which is

a capacitor C for the voltage DC-link or an inductor L for the current DC-link. The PWM

rectifier is controlled in a way that a sinusoidal mains current is drawn, which is in phase or anti-

phase (for energy feedback) with the corresponding mains phase voltage.

Page 5: Effect of Source Inductance

Due to the DC-link storage element, there is the advantage that both converter stages are to a

large extent decoupled for control purposes. Furthermore, a constant, mains independent input

quantity exists for the PWM inverter stage, which results in high utilization of the converter’s

power capability. On the other hand, the DC-link energy storage element has a relatively large

physical volume, and when electrolytic capacitors are used, in the case of a voltage DC-link,

there is potentially a reduced system lifetime.

In order to achieve higher power density and reliability, it is makes sense to consider Matrix

Converters that achieve three-phase AC/AC conversion without any intermediate energy storage

element.

An inverter is an electrical device that converts direct current (DC) to alternating current (AC);

the converted AC can be at any required voltage and frequency with the use of appropriate

transformers, switching, and control circuits. An inverter is essentially the opposite of a rectifier.

Static inverters have no moving parts and are used in a wide range of applications, from small

switching power supplies in computers, to large electric utility high-voltage direct current

Page 6: Effect of Source Inductance

applications that transport bulk power. Inverters are commonly used to supply AC power from

DC sources such as solar panels or batteries.

The electrical inverter is a high-power electronic oscillator. It is so named because early

mechanical AC to DC converters were made to work in reverse, and thus were "inverted", to

convert DC to AC.

Basic designs

In one simple inverter circuit, DC power is connected to a transformer through the centre tap of

the primary winding. A switch is rapidly switched back and forth to allow current to flow back to

the DC source following two alternate paths through one end of the primary winding and then

the other. The alternation of the direction of current in the primary winding of the transformer

produces alternating current (AC) in the secondary circuit.

The electromechanical version of the switching device includes two stationary contacts and a

spring supported moving contact. The spring holds the movable contact against one of the

stationary contacts and an electromagnet pulls the movable contact to the opposite stationary

contact. The current in the electromagnet is interrupted by the action of the switch so that the

switch continually switches rapidly back and forth. This type of electromechanical inverter

switch, called a vibrator or buzzer, was once used in vacuum tube automobile radios. A similar

mechanism has been used in door bells, buzzers and tattoo guns.

As they became available with adequate power ratings, transistors and various other types of

semiconductor switches have been incorporated into inverter circuit designs

Page 7: Effect of Source Inductance

Introduction

Single phase uncontrolled rectifiers are extensively used in a number of power electronic

based converters. In most cases they are used to provide an intermediate unregulated dc voltage

source which is further processed to obtain a regulated dc or ac output. They have, in general,

been proved to be efficient and robust power stages. However, they suffer from a few

disadvantages. The main among them is their inability to control the output dc voltage / current

magnitude when the input ac voltage and load parameters remain fixed. They are also

unidirectional in the sense that they allow electrical power to flow from the ac side to the dc side

only. These two disadvantages are the direct consequences of using power diodes in these

converters which can block voltage only in one direction. As will be shown in this module, these

two disadvantages are overcome if the diodes are replaced by thyristors, the resulting converters

are called fully controlled converters.

Thyristors are semi controlled devices which can be turned ON by applying a current pulse at its

gate terminal at a desired instance. However, they cannot be turned off from the gate terminals.

Therefore, the fully controlled converter continues to exhibit load dependent output voltage /

current waveforms as in the case of their uncontrolled counterpart. However, since the thyristor

can block forward voltage, the output voltage / current magnitude can be controlled by

controlling the turn on instants of the thyristors. Working principle of thyristors based single

phase fully controlled converters will be explained first in the case of a single thyristor halfwave

rectifier circuit supplying an R or R-L load. However, such converters are rarely used in practice.

Full bridge is the most popular configuration used with single phase fully controlled rectifiers.

Analysis and performance of this rectifier supplying an R-L-E load (which may represent a dc

motor) will be studied in detail in this lesson.

Single phase fully controlled halfwave rectifier

Page 8: Effect of Source Inductance
Page 9: Effect of Source Inductance

Fig shows the circuit diagram of a single phase fully controlled halfwave rectifier supplying a

purely resistive load. At ωt = 0 when the input supply voltage becomes positive the thyristor T

becomes forward biased. However, unlike a diode, it does not turn ON till a gate pulse is applied

at ωt = α. During the period 0 < ωt ≤ α, the thyristor blocks the supply voltage and the load

voltage remains zero as shown in fig 10.1(b). Consequently, no load current flows during this

interval. As soon as a gate pulse is applied to the thyristor at ωt = α it turns ON. The voltage

across the thyristor collapses to almost zero and the full supply voltage appears across the load.

From this point onwards the load voltage follows the supply voltage. The load being purely

resistive the load current io is proportional to the load voltage. At ωt = π as the supply voltage

passes through the negative going zero crossing the load voltage and hence the load current

becomes zero and tries to reverse direction. In the process the thyristor undergoes reverse

recovery and starts blocking the negative supply voltage. Therefore, the load voltage and the load

current remains clamped at zero till the thyristor is fired again at ωt = 2π + α. The same process

repeats there after

for

There fore

Or

Page 10: Effect of Source Inductance

Three phase fully controlled bridge converter

Introduction

The three phase fully controlled bridge converter has been probably the most widely used

power electronic converter in the medium to high power applications. Three phase circuits are

preferable when large power is involved. The controlled rectifier can provide controllable out put

dc voltage in a single unit instead of a three phase autotransformer and a diode bridge rectifier.

The controlled rectifier is obtained by replacing the diodes of the uncontrolled rectifier with

thyristors. Control over the output dc voltage is obtained by controlling the conduction interval

of each thyristor. This method is known as phase control and converters are also called “phase

controlled converters”. Since thyristors can block voltage in both directions it is possible to

reverse the polarity of the output dc voltage and hence feed power back to the ac supply from the

dc side. Under such condition the converter is said to be operating in the “inverting mode”. The

thyristors in the converter circuit are commutated with the help of the supply voltage in the

rectifying mode of operation and are known as “Line commutated converter”. The same circuit

while operating in the inverter mode requires load side counter emf. for commutation and are

referred to as the “Load commutated inverter”.

In phase controlled rectifiers though the output voltage can be varied continuously the load

harmonic voltage increases considerably as the average value goes down. Of course the

magnitude of harmonic voltage is lower in three phase converter compared to the single phase

circuit. Since the frequency of the harmonic voltage is higher smaller load inductance leads to

continuous conduction. Input current wave shape become rectangular and contain 5th and higher

Page 11: Effect of Source Inductance

order odd harmonics. The displacement angle of the input current increases with firing angle.

The frequency of the harmonic voltage and current can be increased by increasing the pulse

number of the converter which can be achieved by series and parallel connection of basic 6 pulse

converters. The control circuit become considerably complicated and the use of coupling

transformer and / or interphase reactors become mandatory.

With the introduction of high power IGBTs the three phase bridge converter has all but been

replaced by dc link voltage source converters in the medium to moderately high power range.

However in very high power application (such as HV dc transmission system, cycloconverter

drives, load commutated inverter synchronous motor drives, static scherbius drives etc.) the basic

B phase bridge converter block is still used. In this lesson the operating principle and

characteristic of this very important converter topology will be discussed in source depth.

Operating principle of 3 phase fully controlled bridge converter

A three phase fully controlled converter is obtained by replacing all the six diodes of an

uncontrolled converter by six thyristors as shown in Fig. 13.1 (a)

Page 12: Effect of Source Inductance

For any current to flow in the load at least one device from the top group (T1, T3, T5) and one

from the bottom group (T2, T4, T6) must conduct. It can be argued as in the case of an

uncontrolled converter only one device from these two groups will conduct.

Then from symmetry consideration it can be argued that each thyristor conducts for 120° of the

input cycle. Now the thyristors are fired in the sequence T1 → T2 → T3 → T4 → T5 → T6 → T1

with 60° interval between each firing. Therefore thyristors on the same phase leg are fired at an

interval of 180° and hence can not conduct simultaneously. This leaves only six possible

conduction mode for the converter in the continuous conduction mode of operation. These are

T1T2, T2T3, T3T4, T4T5, T5T6, T6T1. Each conduction mode is of 60° duration and appears in the

sequence mentioned. The conduction table of Fig. 13.1 (b) shows voltage across different

devices and the dc output voltage for each conduction interval. The phasor diagram of the line

voltages appear in Fig. 13.1 (c). Each of these line voltages can be associated with the firing of a

thyristor with the help of the conduction table-1. For example the thyristor T1 is fired at the end

of T5T6 conduction interval. During this period the voltage across T1 was vac. Therefore T1 is fired

α angle after the positive going zero crossing of vac. Similar observation can be made about other

thyristors. The phasor diagram of Fig. 13.1 (c) also confirms that all the thyristors are fired in the

correct sequence with 60° interval between each firing.

Fig. 13.2 shows the waveforms of different variables (shown in Fig. 13.1 (a)). To arrive at the

waveforms it is necessary to draw the conduction diagram which shows the interval of

conduction for each thyristor and can be drawn with the help of the phasor diagram of fig. 13.1

(c). If the converter firing angle is α each thyristor is fired “α” angle after the positive going zero

crossing of the line voltage with which it’s firing is associated. Once the conduction diagram is

Page 13: Effect of Source Inductance

drawn all other voltage waveforms can be drawn from the line voltage waveforms and from the

conduction table of fig. 13.1 (b). Similarly line currents can be drawn from the output current

and the conduction diagram. It is clear from the waveforms that output voltage and current

waveforms are periodic over one sixth of the input cycle. Therefore this converter is also called

the “six pulse” converter. The input current on the other hand contains only odds harmonics of

the input frequency other than the triplex (3rd, 9th etc.) harmonics. The next section will analyze

the operation of this converter in more details.

Page 14: Effect of Source Inductance
Page 15: Effect of Source Inductance

Additional inductance:

The addition of AC input inductance to the single phase drive improves the current waveform

and spectrum from those shown in Figures 2 and 3 to those shown in Figures 7 and 8. It is particularly

beneficial for the higher order harmonics, but the fifth and seventh is reduced by a useful degree. Only

the third harmonic is little improved.

Since the three-phase rectifier has no third harmonic current, the AC inductor is even more

beneficial, as shown in figure

Page 16: Effect of Source Inductance

Introduction:

In most practical situations, most of ac dc converters are supplied from transformers. The series

impedance of the transformer can not always be neglected. Even if no transformer is used, the

impedance of the feeder line comes in series with the source. In most cases this impedance is

predominantly inductive with negligible resistive component. The presence of source inductance

does have significant effect on the performance of the converter. With source inductance present

the output voltage of a converter does not remain constant for a given firing angle. Instead it

drops gradually with load current. The converter output voltage and input current waveforms

also change significantly. In this lesson a quantitative analysis of these effects will be taken up in

some detail.

DC inductance

Drives rated at 4kW or more usually have three-phase input and include inductance in the DC link. This

gives the improved waveform and spectrum shown in Figures 11 and 12, which are for a hypothetical 1.5kW

drive for ease of comparison with the previous illustrations.

Page 17: Effect of Source Inductance

Single phase fully controlled converter with source inductance

Fig. 1.1(a) shows a single phase fully controlled converter with source inductance. For simplicity

it has been assumed that the converter operates in the continuous conduction mode. Further, it

has been assumed that the load current ripple is negligible and the load can be replaced by a dc

current source the magnitude of which equals the average load current. Fig. 1.1(b) shows the

corresponding waveforms. It is assumed that the thyristors T3 and T4 were conducting at t = 0. T1

and T2 are fired at ωt = α. If there were no source inductance T3 and T4 would have commutated

as soon as T1 and T2 are turned ON. The input current polarity would have changed

instantaneously. However, if a source inductance is present the commutation and change of input

current polarity can not be instantaneous. Therefore, when T1 and T2 are turned ON T3 T4 does not

commutate immediately. Instead, for some interval all four thyristors continue to conduct as

shown in Fig. 15.1(b). This interval is called “overlap” interval.

Page 18: Effect of Source Inductance

During this period the load current freewheels through the thyristors and the output voltage is

clamped to zero. On the other hand, the input current starts changing polarity as the current

through T1 and T2 increases and T3 T4 current decreases. At the end of the overlap interval the

Page 19: Effect of Source Inductance

current through T3 and T4 becomes zero and they commutate, T1 and T2 starts conducting the full

load current. The same process repeats during commutation from T1 T2 to T3T4 at ωt = π + α. From

Fig. 15.1(b) it is clear that, commutation overlap not only reduces average output dc voltage but

also reduces the extinction angle γ which may cause commutation failure in the inverting mode of

operation if α is very close to 180º. In the following analysis an expression of the overlap angle “μ”

will be determined.

.

From the equivalent circuit of the converter during overlap period

for α ≤ ωt ≤α + μ

Page 20: Effect of Source Inductance

can be represented by the following equivalent circuit

The simple equivalent circuit of Fig. 15.3 represents the single phase fully controlled converter

with source inductance as a practical dc source as far as its average behavior is concerned. The

open circuit voltage of this practical source equals the average dc output voltage of an ideal

converter (without source inductance) operating at a firing angle of α. The voltage drop across

the internal resistance “RC” represents the voltage lost due to overlap shown in Fig. 15.1(b) by

Page 21: Effect of Source Inductance

the hatched portion of the v0 waveform. Therefore, this is called the “Commutation resistance”.

Although this resistance accounts for the voltage drop correctly there is no power loss associated

with this resistance since the physical process of overlap does not involve any power loss.

Therefore this resistance should be used carefully where power calculation is involved.

Three phase fully controlled converter with source inductance

When the source inductance is taken into account, the qualitative effects on the performance of the

converter is similar to that in the case of a single phase converter. Fig. 15.4(a) shows such a

converter. As in the case of a single phase converter the load is assumed to be highly inductive such

that the load can be replaced by a current source.

Page 22: Effect of Source Inductance

As in the case of a single phase converter, commutations are not instantaneous due to the

presence of source inductances. It takes place over an overlap period of “μ1” instead. During the

overlap period three thyristors instead of two conducts. Current in the outgoing thyristor

gradually decreases to zero while the incoming thyristor current increases and equals the total

load current at the end of the overlap period. If the duration of the overlap period is greater than

60º four thyristors may also conduct clamping the output voltage to zero for sometime. However,

this situation is not very common and will not be discussed any further in this lesson. Due to the

conduction of two devices during commutation either from the top group or the bottom group the

instantaneous output voltage during the overlap period drops (shown by the hatched portion of

Fig. 15.4 (b)) resulting in reduced average voltage. The exact amount of this reduction can be

calculated as follows.

In the time interval α < ωt ≤ α + μ, T6 and T2 from the bottom group and T1 from the top group

conducts. The equivalent circuit of the converter during this period is given by the circuit

diagram of Fig. 15.5.

Therefore, in the interval α < ωt ≤ α + μ

Page 23: Effect of Source Inductance

at ωt = α + μ, ib = 0

Equation 15.20 holds for μ ≤ 60º. It can be shown that for this condition to be satisfied

To calculate the dc voltage

For α ≤ ωt ≤ α + μ

Page 24: Effect of Source Inductance

Substituting Equation 15.20 into 15.24

Equation 15.25 suggests the same dc equivalent circuit for the three phase converter with source

inductance as shown in Fig. 15.3 with

and commutation resistance

It should be noted that RC is a “loss less” resistance, since the overlap process does not involve any

active power loss.