- •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
1.12.3 Merits and demerits, conditions of application
The considered circuit has much in common with three-phase bridge rectifier: there are same a pulsation ratio Ud and the waveform of i1, but the transformer is a little bit worse used. STAV depends on depth of regulation and, hence, summarized power ST+STbr is depended on a range of regulation of angle α. This circuit is applied to low voltage and high current rectifiers because current Id flows through a two parallel connected thyristors instead a two series connected as in three-phase bridge rectifier. Application of double three-phase star with the current-balancing reactor rectifier may give essential reduction of number of thyristors and higher efficiency. The given circuit has found wide application in electrometallurgy.
1.13 Equivalent polyphase circuits
Equivalent polyphase circuits could be realized by parallel or series connection of rectifier circuits:
- For reduction of pulsations of a waveform of Ud;
- For decrease of the higher harmonics of a waveform of i1;
- Those units are applied for high currents Id and high voltage Ud.
In a parallel way and in series way it is possible to connect different kinds of circuits: three-phase with center cap, with the current-balancing reactor, bridges. It is necessary to establish the phase displacement between secondary voltage and primary voltage in the angle depending of a number connected circuits for purpose setting up equivalent polyphase conditions.
1.13.1. Series connection of two three-phase bridge rectifiers
Conditions: α=0, La=0, Ld=∞
A B C
i||1A
5|
3|
1|
i|2A
i||1C
i|1A
i||1AC
↑
i1A
I
II
i||2A
6|
4|
2|
5||
2||
6||
3||
4||
1||
Ld
Figure 1.42
U
edI
UdI
5’
6’
1’
2’
3’
4’
5’’
6’’
1’’
2’’
3’’
4’’
UdII
edII
Ud
Ud=UdI+UdII
U
1’
4’
4’’
1’’
2’’
5’’
i’’1A
i1A
Figure 1.43
Bridges I and II operate independently each from other. Transformers of ones are fulfilled with different group of transformer connections. In this case, in order to establish the phase displacement between outputs voltages of bridges, transformer connection for bridge I-Υ/Υ, for the bridge II – Δ/Υ. So waveforms of Ud1 and Ud11 are displaced on 30 degrees.
According to the aforesaid
UdI = UdII; Id = IdI = IdII; PdI = PdII.
For purpose of realization of these conditions, line voltage ratios of the transformers for both ones should be equal:
Secondary currents also are same:
Waveforms of primary phase currents also coincide with waveforms of secondary currents and, hence, coincide for bridges I and II, but its value differ one from other on times because as line KTr of both transformers are equal as phase KTr are differ
Thus, a peak primary phase current for winding connection Υ/Υ is and for Δ/Υ -
The primary current i1 is neighborhood of sine curve.
Primary windings could be connected in star, and secondary - one in a star, another in a delta then it is possible to use one transformer with two secondary windings.
Creation of similar circuits probably and with the big number of bridges but then it is necessary to use phase-shifting transformers. Sequential circuits are expedient for applying on the high voltage.