- •Introduction
- •1. Rectifiers
- •1.1 Employment, basic constituents
- •1.2. Technical and economic indexes of rectifier
- •1.3. Classification of rectifiers
- •1.4 Calculated basic parameters of designing
- •1.5 Some definitions
- •Thyristor as logical switch
- •1.7 A single-phase half-wave rectifier
- •1.7.1 Operation of single-phase half-wave rectifier with active load
- •For a secondary winding
- •For a primary winding
- •1.7.2. Operation of the half-wave rectifier with active - inductive load and limited inductance
- •1.7.3. Operation of the half-wave rectifier with resistive-capacitive load
- •1.8. A single-phase full-wave rectifier with a centre tap
- •1.8.1. Operation of a full-wave rectifier with a centre tap with an active load
- •1.7.2. Operation of a full-wave rectifier with centre tap and active - inductive load and limitеd inductance
- •1.8.3. Operation of a full-wave rectifier with centre tap and active - inductive load with infinite inductance
- •1.8.4. Consideration of a stage of switching of thyristors for a full-wave rectifier with centre tap and active - inductive load with infinite inductance
- •1.8.5 An external characteristic in per unit values
- •1 .9 A single-phase bridge rectifier
- •Figure 1.18
- •From cathode group thyristors current is flowing through that the right one witch have anode voltage greater than other one.
- •From anode group thyristors current is flowing through that the right one witch have cathode voltage less than other one.
- •1.10 The three-phase rectifier with a centre tap
- •1.10.3 The controlled three-phase circuit with a centre tap
- •1.10.4 The account of a stage of switching for three phase rectifier with centre tap
- •1.10.5 External characteristic
- •1.11 Three-phase bridge rectifier
- •The external characteristic
- •1.12 The double three-phase rectifier with balancing reactor
- •1.12.2. Definition of parameters for a choice of thyristors, calculation of the transformer and the balancing reactor
- •1.12.3 Merits and demerits, conditions of application
- •1.13 Equivalent polyphase circuits
- •1.13.2. Parallel connection of double three-phase bridge rectifiers
- •Average value of the rectified voltage is
- •1.14 Operation of the rectifier with opposite- emf
- •1.14.1. Operation of the half-wave rectifier with center tap with opposite- emf and active load
- •1.14.2. Operation of the half-wave rectifier with center tap and opposite-emf and active-inductive load
- •2. Dependent inverters
- •2.1 Transition from a rectifying conditions to an inverting conditions
- •External characteristics
- •3. Equipment and characteristics
- •3.1 Transformers for converting sets
- •3.2 The higher harmonics of a current and a voltage
- •The higher harmonics in a curve of the rectified voltage
- •3.2.3 The higher harmonics in a curve of a prime current
- •3.3. Power characteristics of the converter
- •3.3.1. Efficiency
- •3.3.2 Power factor
1.14.2. Operation of the half-wave rectifier with center tap and opposite-emf and active-inductive load
Conditins: =0, Ld, La=0;
1) 0Ld <
2) Ld =
.
Then
Figure 1.48
Thus, presence of opposite-EMF in the load circuit results only to changing of average rectified current.
Operating of a rectifier with opposite-EMF in the load circuit with Ld = does not differ from operating with active-inductive load as, following to the theorem of indemnification, it is possible to consider and to replace E0 by equivalent resistance .
2. Dependent inverters
2.1 Transition from a rectifying conditions to an inverting conditions
iV1 Eдв
-
+ +
-
M
TP
Id
Ег iV2
VS2
о
~
U1
о
VS1
La e1a
e2b
Ld
La
Figure 2.1
The direct-current machine is included in the load circuit. It operates either a motor is having an electromotive force Еmot or a generator is having an opposite electromotive force Egen.
External characteristics are same as with R - L -load for Ld=∞, i.e.
The addendum Ed0 cos(α) will increase if α decreases and Udα may take up negative values.
When
when
δ - an angle of restoration of locking properties of a thyristor when the thyristor is across an inverse voltage;
β - a commutation delay angle the inverter, or an advance angle.
β = 180˚ - α
As Udα and Id are opposite direction, Udα interferes flowing current Id by inverter conditions.
Instantaneous power of a secondary winding is
.
During the most part of the period P2(υ) is negative;
The mean or active power for this reason also is negative.
The mean power across a circuit of a rectified current is also negative.
It means that in inverter conditions the power is delivered by the direct-current circuit to the ac-circuit. Thus a flux of active power changes direction at conversion from rectifier duty into an inverter duty. Thus there is not a rectifying, but it is inverting of a current. Energy is transferred by the direct-current circuit to the ac-circuit.
The inverter witch supplying the ac-circuit, names to as dependent inverter, because EMF of network enters into a contour of current commutation from the thyristor to the thyristor. The moment of switching on of a thyristor would depend from a commutation delay angle α (or β) which delays from the point of natural switching on thyristors which is determined by EMF of networks and a converter connection.
U,i
U
uV1
δ
π
2π
γ
γ
β
α
uV1
β
iV1
Id
U,i
U
γ
γ
2π
π
α
α
α
iV1
Id |
Figure 2.2