[investigator2100 (OP)]

Respected Mr. Eli Pasternak answered my question on quora.com

Question: Why-is-repulsion-force-weak-between-an-electromagnet-and-a-permanent-magnet

Answer:
"While attempting to create a repulsive force by setting the proper polarity of the current in the electromagnet, the permanent magnet is always attracting the iron core inside the electromagnet. If you take a strong magnet and an air-core electromagnet the repulsive force will be equal to the attractive force."

My argument
Above statement proves that permanent magnet interacts differently with an iron-core-solenoid and with an air-core solenoid.
In other words, the reaction of each of both kinds of solenoids is different when they face a permanent magnet.

Mechanical output of a PM motor is built by attraction and repulsion forces only. If both or any of them is weak, the output would be weak ultimately.

Development of attraction and repulsion forces by each of both kinds of solenoids is totally different than that of the other one. So the characteristics and dynamics of both must be experimented and studied separately.

In fact, the natures of the magnetic poles of both kinds of solenoids are totally different from each other. Provisionally, I name them as perfect and imperfect magnetic poles.

Imperfect poles:
Iron- core solenoids always contain some randomly aligned or loosely magnetized magnetic domains, even when current is applied to the solenoid. These magnetic domains may be named as unsaturated domains).

The unsaturated magnetic domains are always aligned by a permanent magnet. The polarities of these domains are always opposite to the interacting like polarities of the iron-core solenoid and the permanent magnet.

The opposite polarities make an unlike_ third magnetic pole between the two interacting like poles. The unlike_ third magnetic pole and the permanent magnet always attract each other.

A simple experiment showed that when the like poles of the iron-core solenoid and the permanent magnet interacted, at first, the like polarities repelled each other. Then the unlike_ third magnetic pole and the permanent magnet attracted each other. So, both repulsion and attraction were produced between the like poles during the experiment.

The polarity of the domains, aligned by the permanent magnet,  caused a negative vector during the repulsion. That is the attraction that appeared during the repulsion in the experiment.

Perfect poles:
An air-core solenoid does not contain additional permeability (unsaturated iron or other magnetic material), so does not contain any unsaturated magnetic domains.  So permanent magnet does not find any unsaturated magnetic domains to attract. These poles may be named as perfect poles. There occurs no third pole during the repulsion between like perfect poles. So, the repulsion force of perfect poles is always pure.

Conclusion:
The laws of electromagnetism address only perfect magnetic poles. It is a serious mistake that the basic laws of physics are being applied indiscriminately on attraction and repulsion forces of perfect and imperfect magnetic poles without exploring their different characteristics and dynamics. This behavior is balancing (wasting) a lot of magnetic force that is otherwise recoverable.

Ultimate results of the dynamics of imperfect magnet poles are unbelievable and totally contrary to present sense about permanent magnet force.
 
The dynamics of imperfect magnet poles need to be investigated thoroughly and immediately.
Lack of knowledge about the dynamics is shocking. This knowledge cannot be deduced from prior knowledge.

A lot of unexplored factors are involved in the dynamics.  We have to observe the factors through experiments and then have to interpret the results. No use of trying to count the teeth of a horse without opening the mouth.

[evan_au]

Ultimate results of the dynamics of imperfect magnet poles are unbelievable and totally contrary to present sense about permanent magnet force.

One of the major limitations of modern magnetic-confinement fusion experiments (tokamaks, stellerators, etc) is the mechanical strength of the electromagnet poles which restrain the plasma.

Are you saying that all these experiments should have exploded because they miscalculated the forces involved - the computer models of "imperfect poles" are badly flawed?

[syhprum]

Electric motors that depend on the repulsion of iron cored solenoids work fine .

[Colin2B]

Above statement proves that permanent magnet interacts differently with an iron-core-solenoid and with an air-core solenoid.

No one is disputing this, just your interpretation of why it happens. As has been explained to you in previous topics, it's always necessary to consider the complete magnetic circuit and relative reluctances of the flux paths. If the circuit allows a lower reluctance flux path through the core (or any magnetically permeable neighbour), then the permanent magnet flux will influence the core and you  see the weaker repulsion/stronger attraction.  The mechanism is fully understood and has nothing to do with perfect and imperfect poles.

Lack of knowledge about the dynamics is shocking. This knowledge cannot be deduced from prior knowledge.

No use of trying to count the teeth of a horse without opening the mouth.

Magnets, both permanent and electromagnets, and magnetic material, are very important to our modern society and so have been studied extensively.  No effect such as you are proposing has been noted.
The horses mouth has been opened regularly and the teeth examined in detail.

[investigator2100 (OP)]

Ultimate results of the dynamics of imperfect magnet poles are unbelievable and totally contrary to present sense about permanent magnet force.

One of the major limitations of modern magnetic-confinement fusion experiments (tokamaks, stellerators, etc) is the mechanical strength of the electromagnet poles which restrain the plasma.

Are you saying that all these experiments should have exploded because they miscalculated the forces involved - the computer models of "imperfect poles" are badly flawed?

Thank you for your reply.
Why should I make such foolish claims? I always try to remain into the boundary of my experimental findings and try to make only direct inferences.

Iron-core electromagnets are very useful and controllable devices. Their importance is beyond doubt. Force of the electromagnets can be calculated and used properly until the electromagnets face perfect poles of permanent magnets in repulsion.
 
However, I do not accept that magnetic force acts homogenously as a single force in all situations. I take the term as a general term.
 
In one of my experiments, like poles of an iron-core solenoid and a heavy permanent magnet interacted with each other. At first, the repulsion acted upon the moving object then the attraction acted.

I inferred from the observation that the magnetic field of the solenoid created by current (magnetizing field H) remained intact and expressed itself by producing the repulsion. Heavy permanent could not eliminate the magnetic field. So I assume that the poles of the magnetic field created by the current and coil are perfect poles.

On the other hand, a fraction of the iron core was attracted by the permanent magnet back. If the whole pole (magnetizing field H+ material) of iron core solenoid were perfect, the permanent magnet should not attract the pole back. Instead the permanent magnet should have repelled the whole electromagnet.
 
The poles of iron-core solenoids are always combinations of magnetizing fields H and permeable material. Permeable material can betray the true pole of the solenoid when it is influenced by an external field, so I assume these poles as imperfect poles.

The difference between perfect and imperfect poles becomes obvious when both interact in repulsion.
Computer simulations go wrong when these treat magnetic flux lines ‘B’ between a permanent magnet and an iron-core electromagnetic part. Link to the detail is attached.

[investigator2100 (OP)]

Electric motors that depend on the repulsion of iron-cored solenoids work fine .

Thank you for your reply.
If you are mentioning non-permanent magnet motors, it does not relate to this topic.

[investigator2100 (OP)]

Above statement proves that permanent magnet interacts differently with an iron-core-solenoid and with an air-core solenoid.

No one is disputing this, just your interpretation of why it happens. As has been explained to you in previous topics, it's always necessary to consider the complete magnetic circuit and relative reluctances of the flux paths. If the circuit allows a lower reluctance flux path through the core (or any magnetically permeable neighbour), then the permanent magnet flux will influence the core and you  see the weaker repulsion/stronger attraction.  The mechanism is fully understood and has nothing to do with perfect and imperfect poles.

Lack of knowledge about the dynamics is shocking. This knowledge cannot be deduced from prior knowledge.

No use of trying to count the teeth of a horse without opening the mouth.

Magnets, both permanent and electromagnets, and magnetic material, are very important to our modern society and so have been studied extensively.  No effect such as you are proposing has been noted.
The horses mouth has been opened regularly and the teeth examined in detail.

I am highly grateful to you for continuously attending the whole matter.
“ it's always necessary to consider the complete magnetic circuit and relative reluctances of the flux paths. If the circuit allows a lower reluctance flux path through the core (or any magnetically permeable neighbour), then the permanent magnet flux will influence the core and you  see the weaker repulsion/stronger attraction.”
 
Some 4 years ago, an answer to one of my question on Quora.com contained the same explanation of the flux path in a magnetic circuit. Unfortunately, this explanation provides only half knowledge of the whole truth.

What is the effect of the influence (of PM flux on low reluctances) when repulsion is desired force? weaker repulsion/stronger attraction?

The influence can only create an unlike pole or unlike poles into the low reluctance/reluctances. Unlike pole can produce only attraction force. So, the production of any amount of repulsion by the influence is impossible.

Respected Mr. Loren Rademacher, retired motor designer of GE, has explained this matter more specifically at Quora. com
“You spend a lot of time talking about the effect of attraction between a magnet and an un-energized pole piece. This is normal behavior in a PM motor. During part of the rotation the magnet pulls the pole in the direction of rotation; and then as the pole passes the magnet, the magnet tries to pull the pole back. Thus there is a pulsating torque with no net average effect and it can be ignored except for the vibrations and noise that it might introduce into the system. Motor designers call this effect ‘cogging’.”

My argument
This answer proves that attraction during repulsion is not unfamiliar to motor designers. It is already accepted in PM motor technology as: ‘the magnet tries to pull the pole back’.
The permanent magnet cannot attract the pole back without creating an unlike pole_ the third pole into the iron core of the electromagnetic pole.

This answer also states that permanent magnet provides matching force when “the magnet pulls the pole in the direction of rotation”, but this matching force is balanced (wasted) by the opposing force of attraction, which happens during repulsion: “and then as the pole passes the magnet, the magnet tries to pull the pole back”.

Result: permanent magnet ‘works’ in PM motors but this work is canceled by the attraction between the permanent magnet and the unlike third pole (created by the permanent magnet in the iron-core of the electromagnetic pole).

In other words, permanent magnet fully works in a motor but the form of this work is alternative like the alternative current. Work of the permanent magnet is canceled by the counter work of the same permanent magnet. Why cannot the counter work be reduced by better designing of motors to get more resultant force?

This answer also proves that the creation of the unlike pole is not limited to single poles or monopole repulsion. The third pole must also be created in dipole magnetic systems (in a complete magnetic circuit). ‘The magnet tries to pull the pole back’ in a motor while motors always work on complete magnetic circuits.

A motor works only because attraction and repulsion forces are created in the air gap between the rotor and stator. The statement about the influence of PM flux on low reluctances does not contain the information about what of the attraction and repulsion force is created by the influence.

Then we have to determine what forces are matching and what forces are opposite. Then we have to calculate all the forces in accordance with the laws of motion. One will be astonished to know that a great part of total magnetic force is balanced in a PM motor. I have worked on this topic to some extent. Links to the detail are attached.

"Magnets, both permanent and electromagnets, and magnetic material, are very important to our modern society and so have been studied extensively.  No effect such as you are proposing has been noted.
The horses mouth has been opened regularly and the teeth examined in detail."

I have discussed all this matter on many forums. Many scientists deny the attraction during repulsion. Some scientists confirmed it. If the teeth of this horse have been examined thoroughly, why scientists’ opinions are contrary to each other?

Attraction during repulsion is created between a permanent magnet and an unsaturated iron-core solenoid and never is created between a permanent magnet and an air-core solenoid. So why are the poles of both kinds of solenoid not different from each other?

Even worse, no one is ready to apply the laws of motion on the opposite forces of repulsion and ‘attraction during repulsion’ that are created between like poles; while the application is clearly possible. If scientists apply the laws on the opposite forces, they will find that a lot of magnetic force is balanced between the like poles. They will also find that the force is recoverable.
 
I have applied the laws of motion on the opposite forces and have successfully unbalanced the balanced force. At least 5 working proofs of the concept exhibit the unbalanced force very clearly. Three of them are continuous motion machines (two actuators and one motor). I have published details of all the invention in enabling manners. Anyone can make the machines for scientific research. Details of the inventions are available at my Researchgate project. Link is attached.