The present disclosure relates in general to the control, protection, and starting of three-phase electric motors and driven equipment and more particularly to a two-step connection of electric motors by means of electromagnetic switches.
The vast majority of three-phase motor starters are simple devices using contactors that connect and disconnect all phases of a three-phase power supply to a motor at substantially the same time. This simultaneous application of the three-phase supply results in high peak surge currents and torque pulsations which place undue, and potentially destructive, stresses on the power distribution network, motor, and driven load. These surge currents are additional to the normal in-rush currents and can damage the electrical contacts used in the starter contactor and reduce the life of the starter. In order to avoid nuisance trips because of the higher peak currents caused by these surge currents, it is common practice to set higher trip levels on circuit breakers in the power distribution network than those needed to support the nominal load. This reduces the breaker's ability to minimize damage in the event of a fault condition. While alternative approaches to starting motors (such as motor drives and electronic soft starters) exist that reduce or eliminate these negative attributes, these alternatives are typically larger, more expensive, more complex to install and configure, and have shorter useful lives than electro-mechanical starters.
Embodiments contain electromagnetic switches providing a two-step connection process resulting in some windings of the motor experiencing current flow before the remainder of windings experience current flow. Two such possible embodiments of providing two-step switching are described. One embodiment uses Single Pole Switches (SPS). Another embodiment uses a Delayed Pole Contactor (DPC) comprised of three poles with one pole designed to close at an offset in time relative to the closing of the other two poles. At present, both embodiments use DC electromagnets controlled by electronic means, though other means capable of controlling the operation of the switches are also satisfactory.
For a more complete understanding of the present disclosure and the advantages thereof, reference is now made to the following detailed description taken in conjunction with the accompanying drawings, wherein like reference numerals represent like parts, in which:
When an electromagnetic contactor is used to start an induction motor from rest, the motor typically draws a starting current from the supply that is between six and ten times the motor full load current (FLC), depending on the size and construction of the motor. As the motor approaches full speed, the current falls to a lesser value commensurate with the load on the motor.
However, a number of undesirable phenomena also occur during the simultaneous connection of the supply to the motor. There is a severe oscillatory pulsation in torque generated by the motor that can last up to several seconds in larger motors. This imposes a high mechanical stress on the whole drive train (especially on shaft couplings, gearboxes, bearings, and stator windings) through the reaction force that is experienced. The peaks in the pulsating torque can be both positive and negative, and many times at the maximum torque experienced under normal running. This pulsating torque is a significant factor in causing breakdown, especially in motors subject to frequent starting.
Just as serious is the fact that, during the transient period of torque pulsation, supply current peaks can exceed twice the expected steady state locked rotor starting current. This abnormally high current is known as surge current and can cause problems for motor protection. Generally, motor starters combine a contactor with overload protection to disconnect the motor if it draws excessive current. The overload mechanism must allow for the high surge current without disconnecting the motor prematurely but, nevertheless, be able to shut down the motor during running if it becomes overloaded and draws more than only 110% of full load current. With high efficiency motors, surge current can reach 18/20 times FLC, which complicates setting of overload relays and breakers to allow starting and still provide adequate running protection.
However, it is possible to greatly reduce or eliminate both the torque pulsation and the surge current by modifying the way in which the supply is connected to the motor. If a three-phase motor is connected by contactor poles placed between the supply and the motor terminals and operated such that two phases are connected first (when the line voltage between the two phases is at its peak value) and the remaining phase is connected a quarter of a supply voltage cycle later, both the torque pulsation and surge current are greatly reduced or eliminated.
When an induction motor is at rest, the internally generated back emf is zero. If the stator resistance Rs is ignored, then when the supply is applied, current flow is determined by the stator inductance. If all three phases are energised together, the current flow is made up of the balanced steady state three-phase AC starting current that will flow plus an exponentially decaying DC transient current present in differing amounts in each phase. The amplitude of the DC transient is determined at the moment of connection when all currents are zero and their rate of change is limited by the motor inductance. At the instant immediately after connection, the motor currents are still zero. Hence, at this time, the steady state current and DC transient current are related by the following formula:
Steady state current+DC transient current=0
As the formula shows, the amplitude of the DC transient current is equal and opposite of the steady state starting current value at the instant immediately after connection. This DC current decays with the motor magnetization time constant.
The effect of the DC current is to cause the severe torque pulsation that accompanies motor starting. This happens because, instead of the uniformly rotating magnetic field that the steady state AC currents would produce, the DC transient introduces an additional non-rotating, decaying DC field component. This adds to the AC field when they are aligned but subtracts from the AC field as the stator field moves out of alignment with the DC field component. Instead of keeping a steady (rotating) value, the motor flux therefore oscillates between (AC flux+DC flux) and (AC flux−DC flux). This causes a severe oscillation in motor torque at supply frequency that only subsides as the DC flux decays away. This may last several seconds in larger motors.
A two-step connection process is able to eliminate surges due to the slow decaying excitation DC transient current and associated torque pulsation. For a wye-connected motor, two phases of the motor are first connected to the supply terminals to build up current in two of the motor windings so that, at the moment when the remaining phase is connected, all three currents are exactly equal to their steady state AC values corresponding to the point all phases are finally connected to the supply waveforms. If the currents are at the steady state value immediately before and after connection of the third phase, no additional DC transient current is generated, the motor starts with a balanced set of AC currents equal to the steady state locked rotor current, and the torque pulsation is absent.
In starting a motor from rest, the point in the supply waveform when the first two phases are connected must be chosen such that current in those phases builds up to reach exactly the steady state value required at the moment when the third supply phase is connected. As most three-phase motors have a winding impedance much greater than their winding resistance, this result can be approximately achieved by connecting two supply phases to the motor when line voltage between them is at its peak and the remaining phase is connected approximately 90 degrees (a quarter of a supply cycle) later.
In
The following sections set out the theory for the two-step connection process and how it may be applied to both wye- and delta-configured motors using Delayed Pole Contactor (DPC) or Single Pole Switches.
The three-phase supply voltage ABC may be described by a space vector km given by:
ū
S(t)=uSej(wt+α) (1)
where uS is the supply phase voltage amplitude, the space vector ūS(t) rotates at the angular frequency ω of the supply, and α is the supply phase angle at the time t=0 when power is applied.
The build up of flux
By integration,
where
Hence the DC transient flux is given by:
so that the general solution for the flux is
The factor −j multiplying the voltage space vector ūS(t) in equation (6) means that the steady state flux
The DC transient may be greatly reduced or eliminated if the supply connection process is performed in two steps. While the embodiments for different motor combinations below describe the use of specific supply phases, any combination of supply phases that maintain the same timing and voltage aspects for the two-step connection described below are equally suitable. Indeed, the two-step connection described relates to operations that result in additional current flow into the motor. It is equally suitable to connect one phase of the motor at any time prior to these steps as long as it does not result in current flow into the motor. In such a case, current would only flow at the time a second phase of the motor was connected to the supply and would be equivalent to both phases being connected concurrently.
When the supply space vector described by space vector ūS is at orientation β in
lagging 90° behind the instantaneous position at orientation β of the voltage space vector ūS(t) at the moment when supply phase A is connected. Thereafter, the voltage ūS(t) and the flux
The dq components of the voltage space vector applied to the motor are taken as
u
SD=⅔(uSA−0.5−uSB−0.5−uSC)
u
SQ=1/√{square root over (3)}(uSB−uSC) (7)
where uSA, uSB, uSC are the voltages across the three windings. The CB line voltage is given in terms of the amplitude uS of the supply phase voltage by:
u
CB=√{square root over (3)}uS sin(ωt+α) (8)
Assuming supply phases B & C are connected when the line voltage uCB is at its peak and setting time t=0 at that point, then α=270°. Whilst only the B and C supply voltages are connected, and the A phase winding remains disconnected, the line voltage divides equally across the B and C windings, so that the winding voltages are given by:
u
SB=−½uBC, uSC=½uBC, uSA=0 (9)
Using Eq (7), the dq components are:
u
SD=0, uSQ=−uS (10)
and uSD remains zero throughout the period β. Hence, during the 90° interval β before phase A is connected, we have:
Integrating over the interval β to obtain the flux gives:
so that when phase A is connected at ωt=β=π/2:
This is exactly the instantaneous steady state value
u
CA=√{square root over (3)}uS sin(ωt+π/2) (15)
and when the CA phases are connected at the moment t=0 it equals its peak voltage √{square root over (3)}uS. Since there is no connection to the B phase, the voltage across the three windings is given by
u
SA=√{square root over (3)}uS sin(ωt+π/2)
u
SB=√{square root over (3)}/2uS sin(ωt+π/2)
u
SC
=u
SB (16)
Hence, using the dq voltage equations (7):
u
SD=√{square root over (3)}uS
u
SQ=0 (17)
Integrating the flux build up for the 90-degree period until phase B is connected gives:
This is the instantaneous steady state value
The winding voltages with the line voltage uCA applied across the A winding in
u
SA=√{square root over (3)}uS sin ωt, uSB=0, uSC=0 (19)
From Eq. (7), the dq space vector voltages are given by:
Hence, by integrating over period β, the flux becomes:
This is the correct flux and orientation to enable contactor poles 2 and 3 to be closed at the zero crossing of the CA line voltage to apply full voltage to all windings of the motor without any DC transient.
Single Pole Switches have a DC operated electromagnet with electronic coil control operating a single set of fixed and moving contacts in an individual enclosure per
To start a wye-configured motor as shown in FIGURE or a delta-configured motor as shown in
To start a delta-configured motor as shown in FIGURE using a two-step connection process, the three contactor poles 1, 2, and 3 must be closed in the correct sequence at the desired points on the supply waveforms. For the first step of the process, one pole must connect the motor to the supply such that, current first begins to flow in one motor winding at a point 30 degrees prior to the peak voltage amplitude (approximately 60 degrees after the line-to-line zero-crossing of the two phases being connected). The remaining two poles should be closed approximately 120 degrees later on the supply waveform.
To satisfy the timing required for the two-step connection process, the contact closure times for the SPS must be known. This contact closure time represents the time from energizing the SPS magnetic coil until the contacts allow current to flow from the supply to the motor. This information can typically be gained by characterizing the design after it is in production.
It is also required to know the supply frequency and zero-cross timing. At present we believe that using the well known method of a software-based Phase Locked Loop (PLL), synchronized to the supply voltage crossings of one or more supply phases, is the easiest to implement and is best for this purpose. However, many methods exist for determining supply frequency and zero-cross timing that are equally suitable and may be preferred if other features, such as voltage monitoring and supply phase sequence, are also derived from the means to monitor voltage.
By monitoring the supply and knowing the contact closure times for the SPS, the times to energize the various SPS coils can be calculated such that connections between the supply and the motor occur at the desired points on the supply waveform. One embodiment of a formula for calculating these coil energizing times would be:
t
CE
=t
ZC
+d
Offset
×t
Degree
−t
CC
where tCE is the time at which the coil is to be energized, tZC is the time of the zero-cross the estimated time is to be based on, dOffset is the offset in degrees of the supply waveform from tZC that the connection of the supply to the motor is desired, tDegree is the time period equal to one degree of the supply waveform, and tCC is the period from when the SPS coil is energized to when the contacts allow current to flow from the supply to the motor.
An alternative to Single Pole Switches in implementing the two-step connection process is a Delayed Pole Contactor. This design is a three-pole contactor with the contacts arranged to close asynchronously at the preferred angles for the two-step connection process. The center pole is magnetically arranged to close later than the outer poles.
For contactor closing, the moving contact carrier has contact springs operating on contacts assembled in pole windows. The center contact is offset from the contacts of the two outer poles by having the center window smaller by the amount x. Using identical contacts and modifying the molded contact carrier gives the desired early closure of the outer poles. The contactor electromagnet is controlled so as to stall in this interim step one position.
In the step one of closing, the contact gap h in the center pole is of sufficient dielectric strength to avoid conduction for approximately a quarter of the mains cycle following the contact closure of the outer two poles. This gap h is typically 0.5 mm to 1 mm depending on size of contactor.
The power into the contactor-operating coil is controlled, such that in conjunction with the center contact physical offset and other contactor dynamics, so as to close the outer poles to this stalled position for a period equal to 90 electrical degrees of the supply frequency.
The power into the contactor operating coil is then adjusted such that the contact springs in all poles are compressed past distance d, positioning the DPC in its final closed position.
Optionally, after a short delay of approximately one second to allow stability, the power into the contactor-operating coil is reduced to a level sufficient to keep the contactor in the closed position.
Although the present disclosure has been described in detail with reference to particular embodiments, it should be understood that various other changes, substitutions, variations, alterations, and modifications may be ascertained by those skilled in the art and it is intended that the present disclosure encompass all such changes, substitutions, variations, alterations, and modifications as falling within the spirit and scope of the appended claims. Moreover, the present disclosure is not intended to be limited in any way by any statement in the specification that is not otherwise reflected in the appended claims.